Answers
Answer:
∠4
Step-by-step explanation:
The angle of elevation is the measure of the angle from the horizontal upwards.
The angle of elevation from C to B is ∠4
Angle of elevation from C to B will be ∠4. Option (1) will be the answer.
Angle of elevation of an object from a point:Angle of elevation of an object from a point on the ground is defined by,
"Angle between the horizontal line and line of site (line joining the observer and the object above the horizontal line)"
Following the definition,
Angle of elevation of an object at B from C will be → ∠4
Therefore, Option (1) will be the answer.
Learn more about angle of elevation here,
https://brainly.com/question/6997568?referrer=searchResults
Related Questions
The San Francisco Bay tides vary between 1 foot and 7 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 8 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon?
Amplitude = 6 feet; period = 8 hours; midline: y = 4
Amplitude = 6 feet; period = 4 hours; midline: y = 3
Amplitude = 3 feet; period = 8 hours; midline: y = 4
Amplitude = 3 feet; period = 4 hours; midline: y = 3
Answers
Answer:
Amplitude = 3 feet; period = 8 hours; midline: y = 4
Step-by-step explanation:
sketch it....(see attached)
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the San Francisco Bay tides vary between 1 foot and 7 feet.
It means the maximum value of the function is 7 and minimum value is 1.
The amplitude of the function is
[tex]Amplitude=\frac{Maximum-Minimum}{2}[/tex]
[tex]Amplitude=\frac{7-1}{2}=\frac{6}{2}=3[/tex]
The amplitude of the function is 3 feet.
Midline of the function is
[tex]Midline=\frac{Maximum+Minimum}{2}[/tex]
[tex]Midline=\frac{7+1}{2}=\frac{8}{2}=4[/tex]
The midline of the function is 4 feet.
It is given that the tide completes a full cycle in 8 hours. It means the period of function is 8 hours.
Therefore the correct option is 3.
Nick and Brad have $30 to spend making model cars. Since wheels cost $0.50 each, they decide they will be able make more if they use three wheels instead of four. The car body and other materials cost $ 1.25 per car. How cars will they be able to make?
Show your work
Help
Answers
Answer:
10 model cars
Step-by-step explanation:
1. We must find the cost of 3 wheels, so we can add it to the cost of the other materials.
.50 × 3 = 1.50
2. We will now add the cost of the other materials to the cost of 3 wheels. This will give us the total cost of each car they build.
1.50 + 1.25 = 2.75
3. Now, we will divide 30 by 2.75. This is because dividing 30 by 2.75 will show us how many times 2.75 can go into 30, essentially how many times they can purchase the total materials needed to make a model car.
30/2.75 = 10.9090909....
4. Lastly we will remove the decimal from the 10. This is because the .909090.... represents them purchasing about 90% of the materials they need instead of another whole one because they ran out of money.
10 model cars can be made
HELPPP!!!
Which of the following is a solution to ?
Answers
Answer: Option D
300°
Step-by-step explanation:
we have the following equation
[tex]tanx+\sqrt{3}=0[/tex]
To solve the equation add [tex]-\sqrt{3}[/tex] on both sides of equality
[tex]tanx+\sqrt{3}-\sqrt{3}=-\sqrt{3}[/tex]
[tex]tanx=-\sqrt{3}[/tex]
We apply the inverse function [tex]tan^{-1}x[/tex]
[tex]x=tan^{-1}(-\sqrt{3})[/tex]
[tex]x=-60\°[/tex] or [tex]x=300\°[/tex]
The answer is the option D
The equation of a line is -6x - 2y = -18. What is the x-intercept & y-intercept of the line?
Answers
Answer: y int: (0,9) x int: (3,0)
Step-by-step explanation:
In slope intercept form, the equation is y=-3x+9. In the formula y=mx+b, we know b is the y intercept, so our y int. is 9. To find our x intercept, we set y=0. So, 0=-3x+9=>3x=9=>x=3
Nate and Maya are building model cars. Maya's car is 3 inches less than 2 times the length of Nate's car. The sum of the lengths of both cars is 26 inches. Write an equation to determine the lengths of Nate's and Maya's cars.
A.) x + 3 − 2x = 26
B.) x + 2x = 26
C.) 2x − 3 = 26
D.) x + 2x − 3 = 26
Answers
Answer:
Option D.) x + 2x − 3 = 26
Step-by-step explanation:
Let
x ------> the length of Nate's car
y ------> the length of Maya's car
we know that
x+y=26 -----> equation A
y=2x-3 ----> equation B
substitute equation B in equation A and solve for x
x+(2x-3)=26
3x=26+3
x=29/3 in
Find the value of y
y=2(29/3)-3
y=(58/3)-3
y= 49/3 in
Answer:
D.) x + 2x − 3 = 26
Step-by-step explanation:
took the test and got it right 100%. if you are wondering if this is the right answer for the test. if this is for homework look at the other persons answer. he gives it more in depth.hope this helped.
Which of these equations have no solution? Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1
Answers
Answer:
2(x + 2) + 2 = 2(x + 3) + 12x + 3(x + 5) = 5(x – 3)5(x + 4) – x = 4(x + 5) – 1Step-by-step explanation:
It can be easier to see the answer if you subtract the right side of the equation from both sides, then simplify.
1. 2(x + 2) + 2 = 2(x + 3) + 1
2(x + 2) + 2 - (2(x + 3) + 1) = 0
2x +4 +2 -2x -6 -1 = 0
-1 = 0 . . . . no solution
__
2. 2x + 3(x + 5) = 5(x – 3)
2x + 3(x + 5) - 5(x – 3) = 0
2x +3x +15 -5x +15 = 0
30 = 0 . . . . no solution
__
3. 4(x + 3) = x + 12
4(x + 3) - (x + 12) = 0
4x +12 -x -12 = 0
3x = 0 . . . . one solution, x=0
__
4. 4 – (2x + 5) = (–4x – 2)
4 – (2x + 5) - (–4x – 2) = 0
4 -2x -5 +4x +2 = 0
2x +1 = 0 . . . . one solution, x=-1/2
__
5. 5(x + 4) – x = 4(x + 5) – 1
5(x + 4) – x - (4(x + 5) – 1) = 0
5x +20 -x -4x -20 +1 = 0
1 = 0 . . . . no solution
Answer:
The answer is a,b and e.
Step-by-step explanation:
a. 2(x + 2) + 2 = 2(x + 3) + 1
b. 2x + 3(x + 5) = 5(x – 3)
e. 5(x + 4) – x = 4(x + 5) – 1
i just did this question on my test hope that helps ;) !
Proportions in Triangles (5)
Answers
Answer:
3 1/3
Step-by-step explanation:
Right side segments are proportional to left side segments:
5/6 = x/4
x = 4·5/6 = 3 1/3 . . . . . multiply by 4
The Department of Natural Resources determined that the population of white-tailed deer in one of Indiana's state parks was 25 deer per square mile in 1991. By 1992, the population had increased to 30 deer per square mile. By what percentage does the deer population increase in this time frame?
Answers
Answer:
20%
Step-by-step explanation:
Population of white-tailed deer in 1991 = 25 deer per square mile
Population of white-tailed deer in 1992 = 30 deer per square mile
We have to find the percentage increase in the deer population. The formula for percentage change is:
[tex]\frac{\text{New Value - Original Value}}{\text{Original Value}} \times 100 \%[/tex]
Original value is the population in 1991 and the New value is the population in 1992.
Using the values, we get:
[tex]\frac{30-25}{25} \times 100 \%\\\\ = 20%[/tex]
Thus, the deer population increased by 20% from 1991 to 1992
Final answer:
The deer population in the state park in Indiana increased by 20% from 1991 to 1992.
Explanation:
The question asks by what percentage the deer population increased between 1991 and 1992 in a state park in Indiana. To calculate the percentage increase, we use the formula: Percentage Increase = ((New population - Original population) / Original population) × 100%. Applying this formula to the given numbers, we have:
Original population in 1991 = 25 deer per square mile
New population in 1992 = 30 deer per square mile
Percentage Increase = ((30 - 25) / 25) × 100% = (5 / 25) × 100% = 20%
Therefore, the deer population increased by 20% from 1991 to 1992.
[20 points+Brainliest] Solve the system of equations. Please give an explanation with your answer, please! A detailed answer will get Brainliest. :)
Answers
Answer:
(x, y, z) = (3, 1, 2)
Step-by-step explanation:
Solving using a calculator, I would enter the coefficients of 1/x, 1/y, 1/z as they are given. The augmented matrix in that case looks like ...
[tex]\left[\begin{array}{ccc|c}\frac{1}{2}&\frac{1}{4}&-\frac{1}{3}&\frac{1}{4}\\1&-\frac{1}{3}&0&0\\1&-\frac{1}{5}&4&\frac{32}{15}\end{array}\right][/tex]
My calculator shows the solution to this set of equations to be ...
1/x = 1/31/y = 11/z = 1/2So, (x, y, z) = (3, 1, 2).
___
Doing this by hand, I might eliminate numerical fractions. Then the augmented matrix for equations in 1/x, 1/y, and 1/z would be ...
[tex]\left[\begin{array}{ccc|c}6&3&-4&3\\3&-1&0&0\\15&-3&60&32\end{array}\right][/tex]
Adding 3 times the second row to the first, and adding the first row to the third gives ...
[tex]\left[\begin{array}{ccc|c}15&0&-4&3\\3&-1&0&0\\21&0&56&35\end{array}\right][/tex]
Then adding 14 times the first row to the third, and dividing that result by 77 yields equations that are easily solved in a couple of additional steps.
[tex]\left[\begin{array}{ccc|c}6&3&-4&3\\3&-1&0&0\\3&0&0&1\end{array}\right][/tex]
The third row tells you 3/x = 1, or x=3.
Then the second row tells you 3/3 -1/y = 0, or y=1.
Finally, the first row tells you 15/3 -4/z = 3, or z=2.
find n[p(A)] and n[p(B)] where A={x;x is a vowel of english alphabet} and B={x; x^2+3<2,x€N}
Answers
[tex]A=\{a,e,i,o,u\}\\n(A)=5\\n(\mathcal{P}(A))=2^5=32\\\\x^2+3<2\\x^2<-1 \\x\in \emptyset\\|B|=0\\n(\mathcal{P}(B))=2^0=1[/tex]
The number of elements in the power set of A, where A consists of all vowels in the English alphabet, is 32, while for B, where B consists of natural numbers satisfying the condition x²+3<2 (which has no solutions), the power set has 1 element.
The student's question involves finding the number of power sets, denoted as n[p(A)] and n[p(B)], for two specific sets A and B. Set A is defined as {x; x is a vowel of the English alphabet}, which consists of 5 elements as there are 5 vowels in the English alphabet (A, E, I, O, U). The number of elements in a power set is given by 2 to the power of the number of elements in the original set, so for set A, the number of elements in the power set is 25 or 32. Therefore, n[p(A)] = 32.
Set B is defined as {x; x²+3<2, x is a natural number, denoted as N}. Solving the inequality x²+3<2, we find that no natural number satisfies this condition since the smallest value would be when x=1, and 1²+3 equals 4, which is not less than 2. Since no elements satisfy this inequality, set B is an empty set. The power set of an empty set has just one element, the empty set itself, so n[p(B)] = 1.
Solve the compound inequality.
n-12<=-3 or 2n>26
Answers
Answer:
[tex]\large\boxed{n\leq9\ or\ n>13\to n\in\left(-\infty;\ 9\right]\ \cup\ (13,\ \infty)\to\{x\ |\ x\leq9\ or\ x>13\}}[/tex]
Step-by-step explanation:
[tex]n-12\leq-3\ or\ 2n>26\\\\n-12\leq-3\qquad\text{add 12 to both sides}\\n\leq9\\\\2n>26\qquad\text{divide both sides by 2}\\n>13\\\\n\leq9\ or\ n>13\to n\in\left(-\infty;\ 9\right]\ \cup\ (13,\ \infty)\to\{x\ |\ x\leq9\ or\ x>13\}[/tex]
URGENT
WILL GIVE BRAINLIEST ANSWER
Answers
ANSWER
C, D, and E
EXPLANATION
The given ellipse has been translated therefore the center is no longer at the origin.
Option A is not correct.
The major axis is the horizontal axis. Its length is 8 units.
Option B is also not correct.
The vertices are where the major horizontal axis intersected the ellipse. They are indeed 4 units to the right and left of the center.
Option C is correct.
The foci can be found using
[tex] {a}^{2} - {b}^{2} = {c}^{2} [/tex]
a=4 is the distance from the center to the vertex and b=2 is the distance from the center to the co-vertex.
[tex] {4}^{2} - {2}^{2} = {c}^{2} [/tex]
[tex]16 - 4 = {c}^{2} [/tex]
[tex]12 = {c}^{2} [/tex]
[tex]c = \pm \sqrt{12} [/tex]
[tex]c = \pm 2\sqrt{3} [/tex]
Option D is also correct.
The directrices are parallel to the semi-minor axis therefore they are vertical lines.
Option E is also correct.
A football team had 4 big mistakes in a game. Because of these mistakes, the team lost a total of 60 yards. On average, how much did the team's yardage change per mistake?
Answers
Answer: 15 yards per mistake.
Step-by-step explanation:
Given : A football team had 4 big mistakes in a game.
i.e. the number of big mistakes done by the football team = 4
The total lost of yards because of the big mistakes done by football team = 60 yards
Now, the portion of team's yardage change per mistake is given by :-
[tex]\dfrac{\text{Total lost of yards}}{\text{Number of big mistakes}}\\\\=\dfrac{60}{4}=15\text{ yards}[/tex]
Hence, the team's yardage changes by 15 yards per mistake.
Answer:
-15 yardage per mistake
Step-by-step explanation:
if j is the number of integers between 1 and 500 that are divisible by 9 and k is the number of integers between 1 and 500 that are divisible by 7, what is j + k?
Answers
Answer:
126
Step-by-step explanation:
The number of numbers divisible by 9 is ...
j = floor(500/9) = 55
The number of numbers divisible by 7 is ...
k = floor(500/7) = 71
Then the total (j+k) is ...
j +k = 55 +71 = 126
What is the magnitude of the position vector whose terminal point is (6, -4)?
Answers
Answer:
2√13
Step-by-step explanation:
The distance formula is useful for this. One end of the vector is (0, 0), so the measure of its length is ...
d = √((x2 -x1)² +(y2 -y1)²) = √((6 -0)² +(-4-0)²)
= √(36 +16) = √52 = √(4·13)
d = 2√13 = |(6, -4)|
Please help me with this asap
Answers
Answer:
A = 27π cm² or A ≈ 84.823... cm²
Step-by-step explanation:
From being shown that the missing area is 90 out of 360°, we know that we need to find 75% of the area of the given circle.
Our equation is altered to: A = 0.75πr²
Plug in: A = 0.75π(6)²
Multiply: A = 27π cm²
If you were instructed to multiply pi and round (which is not as probable given that this is RSM), then the answer would be A ≈ 84.823... cm²
Answer:
Exact answer: [tex]27\pi[/tex]
Answer rounded to nearest hundredths: 84.82 using the pi button and not 3.14.
Step-by-step explanation:
Let's pretend for a second the whole circle is there.
The area of the circle would be [tex]A=\pi r^2[/tex] where [tex]r=6[/tex] since 6 cm is the length of the radius.
So the area of the full circle would have been [tex]A=\pi \cdot 6^2[/tex].
[tex]A=\pi \cdot 6^2[/tex]
Simplifying the 6^2 part gives us:
[tex]A=\pi \cdot 36[/tex]
or
[tex]A=36 \pi[/tex]
Now you actually have one-fourth (because of the 90 degree angle located at the central angle) of the circle missing so our answer is three-fourths of what we got from finding the area of the full circle.
So finding three-fourths of our answer means taking the [tex]36\pi[/tex] we got earlier and multiplying it by 3/4.
This means the answer is [tex]\frac{3}{4} \cdot 36\pi[/tex].
3/4 (36)=3(9)=27
So the answer is [tex]27\pi[/tex]
I don't know why it is faced that way but help plz
Answers
Answer: x > 5
Step-by-step explanation: You need to isolate x. First, distribute the 1/2 into the parentheses. You will get:
4x + x + 2 > 12
Combine like terms.
5x + 2 > 12
Subtract 2 from each side.
5x > 10
Divide by 5 on each side.
X > 2
Since x is by itself, that is the answer.
Answer:
x > 2
Step-by-step explanation:
Distribute 1/2
Distribute 1/2 inside the parentheses
1/2 * 2x = x
1/2 * 4 = 2
Simplify
4x + x + 2 > 12
Combine like terms
5x + 2 > 12
Subtract 2 in both sides
2 - 2 = 0
12 - 2 = 10
5x > 10
Divide 5 in both sides
5x/5 = x
10/5 = 2
Simplify
x > 2
Answer
x > 2
The tallest living man at one time had a height of 262 cm. The shortest living man at that time had a height of 68.6 cm. Heights of men at that time had a mean of 175.32 cm and a standard deviation of 8.17 cm. Which of these two men had the height that was more extreme?
Answers
Answer:
more the z-score more will be the extreme. therefore tallest man has high extreme
Step-by-step explanation:
Formula for z-score: [tex]\frac{X-\mu }{\sigma}[/tex]
where
X is height of tallest man
μ mean height
σ is standard deviation
z score for tallest is
z-score = [tex]\frac{ 262 - 175.32}{8.17} = 10.60[/tex]
similarly for shortest man
z-score = [tex]\frac{68.6 - 175.32}{8.17} = - 13.06[/tex]
more the z-score more will be the extreme. therefore tallest man has high extreme
Answer:
The shortest living man's height was more extreme.
Step-by-step explanation:
We have been given that the the tallest living man at one time had a height of 262 cm. The shortest living man at that time had a height of 68.6 cm. Heights of men at that time had a mean of 175.32 cm and a standard deviation of 8.17 cm.
First of all, we will find z-scores for both heights suing z-score formula.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{68.6-175.32}{8.17}[/tex]
[tex]z=\frac{-106.72}{8.17}[/tex]
[tex]z=-13.06[/tex]
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{262-175.32}{8.17}[/tex]
[tex]z=\frac{86.68}{8.17}[/tex]
[tex]z=10.61[/tex]
Since the data point with a z-score [tex]-13.06[/tex] is more away from the mean than data point with a z-score [tex]10.61[/tex], therefore, the shortest living man's height was more extreme.
A hat contains slips of paper with the names of the 26 other students in Eduardo's class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.
What is the probability that both of Eduardo's partners for the group project will be girls?
Answers
Answer:
[tex]\frac{24}{65}[/tex]
Step-by-step explanation:
Total number of students in the class = 26
Number of boys in the class = 10
Number of girls in the class = 26 - 10 = 16
The formula for probability is :
[tex]\text{Probability}=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]
In this case the favorable outcomes would be the number of girls in the class and total outcomes would be the total number of students in the class.
Eduardo has to pull out two names from the hat. Since there are 16 girls in the class of 26, the probability that the first name will be of the girl will be = [tex]\frac{16}{26}[/tex]
After picking up the 1st name, there would be 25 names in the hat with 15 names of girls as one of the girl is already been chosen. So,
The probability that the second name would belong to a girl = [tex]\frac{15}{25}[/tex]
The probability that both the partners will be girls will be equal to the product of two individual probabilities as both the events are independent.
Therefore,
The probability that both of Eduardo's partners for the group project will be girls = [tex]\frac{16}{26} \times \frac{15}{25} = \frac{24}{65}[/tex]
Prove that the sum of the measures of the interior angles of a triangle is 180°. Be sure to create and name the appropriate geometric figures.
Answers
Answer:
Step-by-step explanation:
We can prove it through different facts but we will use the fact of alternate interior angles formed by a transversal with two parallel lines are congruent.
Look at the figure for brief understanding.
Construct a line through B parallel to AC. Angle DBA is equal to CAB because they are a pair of alternate interior angle(alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal) The same reasoning goes with the alternate interior angles EBC and ACB....
The sum of the interior angles of a triangle is 180 degrees, which can be demonstrated using properties of parallel lines, alternate interior angles, and Euclidean geometry axioms. By drawing a parallel line and using congruent angles, we show that the sum of angles in a triangle aligns with the angle sum on a straight line.
One classic proof that the sum of the interior angles of a triangle is 180 degrees involves drawing a parallel line to one side of the triangle through the opposite vertex. Let's name the vertices of our triangle A, B, and C. Extend a line from vertex C that is parallel to the line AB. This forms alternate interior angles with the angles at vertices A and B, which we know are equal because of the properties of parallel lines.
Call the angles at A and B in the triangle, angle A and angle B, respectively. Outside of the triangle, we have angles formed between the extended line and the lines AC and BC, let's call these angles A' and B'. By the property of parallel lines and angles, angle A is congruent to angle A' and angle B to angle B'. The line through C forms a straight line, so angle A' plus angle C plus angle B' must equal 180 degrees. Since angle A is congruent to angle A' and angle B to angle B', we can then say that angle A plus angle B plus angle C equals 180 degrees. This is because the sum of the interior angles at A and B and the newly defined angle C is equal to the sum along the straight line, which is always 180 degrees.
Moreover, considering the Euclidean geometry axioms, we know that the sum of angles in a triangle is inherently 180 degrees, and this can be seen in the equilateral triangle example where if we take the large triangle and divide it into four smaller congruent triangles, each of these smaller triangles also has the property that the sum of its angles equals 180 degrees. When we add up the angles from the four small triangles and subtract the sum of the straight angles formed at the large triangle's sides, the result confirms the sum for the large triangle is equivalent to four times the sum for one small one, reinforcing the 180-degree sum rule for each triangle.
Which situation requires the addition counting principle to determine the number of possible outcomes?
Creating a stuffed animal when there are 6 animals, 3 fur colors, and 12 clothing themes available?Renting a vehicle when there are 5 cars, 3 vans, and 10 sports utility vehicles available?Printing a greeting card when there are 4 font colors, 9 font types, and 3 font sizes available?Ordering a one-topping pizza when there are 3 sizes, 2 sauce flavors, and 8 toppings available?
Answers
Answer:
Renting a vehicle when there are 5 cars, 3 vans, and 10 sports utility vehicles available
Step-by-step explanation:
Creating a stuffed animal when there are 6 animals, 3 fur colors, and 12 clothing themes available
This condition requires multiplication or factorials to determine outcomes
Renting a vehicle when there are 5 cars, 3 vans, and 10 sports utility vehicles available
This situation requires the addition counting principle to determine the number of possible outcomes as there is only one car to be picked so all the numbers 10+5+3 = 18 will be added to get the possible outcomes ..
PLZ HELP 25 POINTS Solve for x show your work
A. x 5 4 6
B. 5 3 x 4
Answers
The two lines start at the same point outside the circle, using the intersecting Secants theorem, When you multiply the two dims for each line together, they are equal
For A:
5 * (5+x) = 6 * (6+4)
25 + 5x = 60
5x = 35
x = 35/5
x = 7
For B:
5 * (5+ 3) = 4 * ( 4+x)
40 = 16 + 4x
4x = 24
x = 24/4
x = 6
The average number of phone inquiries per day at the poison control center is 2. Find the probability that it will receive exactly 4 calls on a given day
Answers
Answer: 0.0902
Step-by-step explanation:
Given : The average number of phone inquiries per day at the poison control center : [tex]\lambda=2[/tex]
The Poisson distribution function is given by :-
[tex]\dfrac{e^{-\lambda}\lambda^x}{x!}[/tex]
Then , the probability that it will receive exactly 4 calls on a given day is given by (Put [tex]x=4[/tex] and [tex]\lambda=2[/tex]) :-
[tex]\dfrac{e^{-2}2^4}{4!}=0.09022352215\approx0.0902[/tex]
Hence, the required probability : 0.0902
A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 14ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answers
Check the picture below.
make sure your calculator is in Degree mode.
The length of the ladder is 30.83 ft
What are trigonometry ratios?Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
various ratios are:-
sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicularThe ratios of sides of a right-angled triangle with respect to any of its acute angles are known as trigonometric.
CALCULATIONS:-
The angle of elevation is 70°
using the height and distance formula
cos∅ = base/hypotenuse
cos 70°= 0.454
cos∅ = base/hypotenuse
0.454 =14/hypotenuse
hypotenuse(length of ladder)= 14/0.454
length of ladder= 30.83 ft
Learn more about trigonometry here:-https://brainly.com/question/24349828
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Write the equation for the circle with center at (-8,-6) and radius of 10
(x•8)2 + (y + 5)2 - 10
(x+8)2 + (y + 6) 2 - 100
(4-8)2 + (y - 6)2 -100
d
Answers
Answer:
(x +8)² +(y +6)² = 100
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r can be written:
(x -h)² +(y -k)² = r²
For your given values of h=-8, k=-6, r=10, the equation is ...
(x +8)² +(y +6)² = 100
For a certain casino slot machine comma the odds in favor of a win are given as 7 to 93. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Answers
Answer:
0.07
Step-by-step explanation:
it is given odds in favor of a win is 7 to 93
we have to find the degree of likelihood as a probability
total sample space =7+93=100
so the degree of likelihood as a probability = [tex]\frac{7}{100} =0.07[/tex]
so we can conclude that the probability will be 0.07 which is very less so the chances of win in the casino is very less
The odds 7 to 93, when converted to a probability, gives a value of 0.07. This means there is a 7% chance of winning in this slot machine game.
Explanation:The question asks to express the odds in favor of winning a casino slot machine game as a probability value between 0 and 1. In this case, the odds given are 7 to 93. This means that for every 100 games, we expect 7 wins and 93 losses.
To convert these odds into a probability, we divide the number of win outcomes by the total number of outcomes. In this case, the probability of winning is 7/(93+7) = 7/100 = 0.07.
So the probability value of winning on this slot machine is 0.07, which is a number between 0 and 1 inclusive.
Learn more about Probability here:https://brainly.com/question/32117953
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Ed spoke to his cousin in Australia, who told him it was 28c that day. Ed wasn't sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?
Answers
Answer:
32 degrees fahrenheit =
0 degrees celsius
Step-by-step explanation:
Formula
(32°F − 32) × 5/9 = 0°C
Answer:
82.4 °F
Step-by-step explanation:
The appropriate conversion formula is ...
F = 9/5C +32
For C = 28, this is ...
F = (9/5)(28) +32 = 50.4 +32 = 82.4
The equivalent temperature in degrees Fahrenheit is 82.4.
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Answers
Answer:
The inter-quartile range is 13.
Step-by-step explanation:
1. Order the data from least to greatest
2. Find the median of the data.
3. Calculate the median of both the lower and upper half of the data.
4. The inter-quartile range is the difference between the upper and lower medians.
Lower Median: 17
Media: 25.5
Upper Median: 30
Inter-quartile range: 30 - 17 = 13ΔABC is congruent to ΔADC by the SSS criterion. What is the value of x?
Answers
Answer:
x = 18.
Step-by-step explanation:
As they are congruent, BC = DC so
x + 12 = 2x - 6
12 + 6 = 2x - x
x = 18.
Answer:
x=18
Step-by-step explanation:
Because of the SSS criterion, The congruent sides are equal to each other. Meaning, Side AB is congruent to side AD. With this, you can set side BC and side DC equal to each other to solve for x.
x+12=2x-6
You subtract x to both sides;
12=x-6
You then add 6 to both sides to get x alone.
18=x or x=18.
Can someone help me with this one? It’s very difficult too me
Answers
The equation is C = 20t^2 + 135t + 3050
You are told the total number of cars sold is 15000.
Replace c with 15,000 and solve for t:
15000 = 20t^2 + 135t + 3050
Subtract 15000 from both sides:
0 = 20t^2 + 135t - 11950
Use the quadratic formula to solve for t.
In the quadratic formula -b +/-√(b^2-4(ac) / 2a
using the equation, a = 20, b = 135 and c = -11950
The formula becomes -135 +/- √(135^2 - 4(20*-11950) / (2*20)
t = 21.3 and -28.1
T has to be a positive number, so t = 21.3,
Now you are told t = 0 is 1998,
so now add 21.3 years to 1998
1998 + 21.3 = 2019.3
So in the year 2019 the number of cars will be 15000
Answer:
The year 2019.
Step-by-step explanation:
Plug 15,000 into the variable C:
15,000 = 20t^2 + 135t + 3050
20t^2 + 135t - 11,950 = 0. Divide through by 4:
4t^2 + 27t - 2390 = 0.
t = [ (-27 +/- sqrt (27^2 - 4 * 4 * -2390)] / (2*4)
= 21.3, -28.05 ( we ignore the negative value).
So the number of cars will reach 15,000 in 1998 + 21 = 2019.