Answers
The value of w is 14.
What is the value of w?The image given is a right angled triangle. In order to determine the value of the hypotenuse, w, tan would be used.
Cos 30 = adjacent / hypotenuse
√3 / 2 = 7√3 / hypotenuse
hypotenuse = 7√3 ÷ √3/2 = 14
To learn more about right angled triangle, please check: https://brainly.com/question/20694080
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Related Questions
Please help rewarding 30 points to brainliest
Answers
[tex] \frac{AC}{BC} = \frac{DF}{EF} [/tex]
[tex] \frac{12}{6} = \frac{r}{8} [/tex]
6r = 96
r = 16
The value of r is 16
F(x)=−2x3+4x2+3x−3 find the average slope of this function on the interval (26). by the mean value theorem, we know there exists a c in the open interval (26) such that f(c) is equal to this mean slope. find the value of c in the interval which works
Answers
4-2=2×3=6+4=10×2=20+3=23×3=69-3=66
c
Please help with this Algebra 1 math problem:
A system of equations is shown below:
3x - y = 2
x + y = 6
The x-coordinate of the solution to this system of equations is _____.,
Answers
x + y = 6
This system is already in a nice form to do the elimination method on the y variable.
We simply add vertically.
4x = 8.
x = 2. The x-coordinate of the solution is 2.
We can plug the value in to find y if needed.
2 + y = 6.
y = 4.
If m and n are real numbers such that 4m + n = 10, then which of the following expressions represents m?
Answers
[tex] 4m = -n + 10 [/tex]
[tex] m = \dfrac{-n + 10}{4} [/tex]
or
[tex] m = \dfrac{10 - n}{4} [/tex]
SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building? Please round to the tenths place. Please show work/steps and provide units with your answer.
2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/ . What is the value of cos P?
A.9/41
B.41/9
C.40/41
D/41/40
Answers
Specifically, [tex]tan74= \frac{h}{34} [/tex]
[tex]h=(34)(tan74)[/tex]<span class="_wysihtml5-temp-placeholder"></span>
[tex]h=118.6[/tex] feet.
Please be sure your calculator is set to degrees (not radians) when you do this problem.
(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.
sin = opp/hyp. As the sin Q = 9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.
cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.
You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.
One side of a right triangle is 2 cm shorter than the hypotenuse and 7 cm longer than the third side. find the lengths of the sides of the triangle.
Answers
If the hypotenuse - H
Then one side is - H - 2
Third side is 7 cm shorter then H-2
Therefore it’s H -2-7 = H -9
According to Pythagoras theorem
Square of hypotenuse = sum of the squares of the other 2 sides
H² = (H-9)² + (H-2)²
H² = H² -18H + 81 + H² -4H + 4
0 =H² -22H +85
This is a quadratic equation
0 = H² - 17H -5H +85
0 = H (H - 17) -5(H-17)
(H-17) (H-5) =0
H -17=0 or H-5=0
H could be 17 cm or 5 cm
If H =5 cm then
Side 1 -H-2 = 3 cm
And side 2 - H-9 = -4 cm
Since lengths cannot be negative values
H isn’t 5 cm
Therefore H =17 cm
1 side is H-2 = 15 cm
2nd side H -9 = 8 cm
Three sides are 17 cm, 15 cm and 8 cm
The sides will be 17, 15, and 8.
TriangleIt is a polygon of three sides and the sum of the internal angle of a triangle is 180 degrees.
Given
One side of a right triangle is 2 cm shorter than the hypotenuse
And 7 cm longer than the third side.
To findThe lengths of the sides of the triangle.
How do find the lengths of the sides of the triangle?Let the hypotenuse is H
Then the One side of a right triangle is 2 cm shorter than the hypotenuse which means H - 2
And another side is 7 cm longer than the third side which means H -2 -7 that becomes H - 9
Then according to Pythagoras theorem
[tex]\rm H^{2} = P^{2} +B^{2}[/tex]
Then
[tex]\begin{aligned} \rm H^{2} &= (H-2)^{2} +(H-9)^{2}\\\rm H^{2} &= H^{2} -4H + 4+ H^{2} -18H +81\\ H^{2} -22H + 85 &= 0 \\(H-17)(H-5) &=0\\\end{aligned}[/tex]
Hence the value of H is 17 and 5.
5 is neglected because H - 9 is negative.
So the sides will be 17, 15, and 8.
More about the triangle link is given below.
https://brainly.com/question/25813512
Write an equation of a line that goes through the point (2,2) and has a y-intercept of 6
Answers
[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ 2 &,& 2~) &&(~ 0 &,& 6~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{0-2}\implies \cfrac{4}{-2}\implies -2 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-2(x-2) \\\\\\ y-2=-2x+4\implies y=-2x+6[/tex]
PLEASE HELP ME ON THIS!!!!!!!!!!
~BRAINLIEST AVAILABLE
THX
Answers
Hope this helps!
[tex]f(n) = 6n+b[/tex]
b has to be a number that satisfies every value. If we plug in 1 for n, then right now we will be left with:
[tex]18 = 6(1) + b[/tex]
Solving for b, we get:
[tex]b = 12[/tex]
We have our final explicit function in terms of n (your answer):
[tex]f(n) = 6n + 12[/tex]
Or, you can write this as:
[tex]f(n) = 6(n+2)[/tex]
1. Given the equation (x – 3)2 – 32 = 17 a)
a) Solve the equation using the square root property to find the solutions. Show your work and round your final answer to the nearest tenth.
b) Explain why the given equation has two solutions.
Answers
The square root property is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> will take the square root of each side
so
√(x – 3)²=(+-)√7²------> notice the use of the sign (+-), this will give us both a positive and a negative root
then
x-3=7--------> x=10
x-3=-7-------> x=-4
the answer Part a) is
x=10
x=-4
Part b) Explain why the given equation has two solutions.
the answer part b) is
Because exist the possibility of two roots for every square root, one positive and one negative
Given cos x =12/13 And sin x = 5/13
what is ratio for tan x? (Explain how you got your answer)
Answers
tan = (5/13)/(12/13) = 5/13 * 13/12 = 5/12
Please help me thank you.
Answers
.. A = (1/2)ab*sin(C)
.. = (1/2)*(2.75 mi)*(1.32 mi)*sin(35°)
.. ≈ 1.04 mi^2
The 4th selection is appropriate.
What is the smallest solution to the equation 3x^2-16=131
Answers
Answer:
x=7
Step-by-step explanation:
3*7*7 = 147
147-16 = 131
so x=7
note x could be -7 also
Which of the following equations is an example of inverse variation between variables x and y ?
A.) y=15x
B.) y= x-15
C.) y=15/x
D.) y=x/15
Help Please! Will give medal and fan!,
Answers
To determine whether voters would be willing to vote for a tax increase to improve the city's parks, the park commission surveys 500 park users. Why is this sample likely to be biased?
A. Park users are more likely to be willing to pay more to improve parks.
B. Park users are too busy to be bothered with surveys.
C. There are not enough people in the sample.
D. The entire population of the city was not surveyed.
Answers
Answer: The answer is A
Step-by-step explanation: Think about the question and what it is asking about, raising taxes to improve the city's parks, now think about who benefits from the parks. Park users right? Okay, but since tax increase will be put on everyone living in the city, some do not use the park. Is it fair to base the survey question just to park users? No, it's biased to base it on park users only. Of course the park users will be okay improving the parks they use. An unbiased survey would ask a sample of citizens in the city whether it's a good idea to raise taxes to improve the city parks. It's not just the park user whose taxes will be raised for the improvements.
Answer:
The answer A park user are most likely to be willing to pay more to improve parks.
Step-by-step explanation:
I did the test and it was right hope this helps
GREETINGS FELLOW EARTHLINGS I AWAIT YOUR ASSISTANCE ON THIS QUESTION
Answers
48 is 2 times 24.
So, the ratio of the long side to the short side would be
B, 2:1. Hope this helps!
HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
Solving Systems of Equations by Elimination
3) 7x + 3y= 22 4y= 20
4) -2x + y= 10 4x - y= -14
Answers
Answer:
3) [tex]x=1\\ y=5[/tex]
4) [tex]x=-2\\ y=6[/tex]
Step-by-step explanation:
3) For this system of equation you already has one variable in the second equation. Therefore, you only need to solve for [tex]y[/tex] in the second one and substitute its value into the first equation to calculate [tex]x[/tex]:
[tex]\left \{ {{7x + 3y= 22} \atop {4y=20}} \right. \\[/tex]
[tex]y=\frac{20}{4} \\ y=5[/tex]
[tex]7x + 3(5)= 22\\ 7x=7\\x=1[/tex]
4) You must add both equations to cancel the variable [tex]y[/tex] and solve for [tex]x[/tex]. Then, susbstiute the value of this variable into one of the original equations to calculate [tex]y[/tex]:
[tex]\left \{ {{-2x+y=10} \atop {4x-y=-14}} \right.[/tex]
[tex]2x=-4\\ x=-2[/tex]
[tex]-2(-2)+y=10\\ y=6[/tex]
A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?y=-4x+8, y = –2x + 6, y=-1/4x+2, y = 2x + 2
Answers
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-1)
m=-4
First one is correct because the m value match my answer.
y = -4x+8 thats the answer
Combine and simplify these radicals.
radical 8 * 20
i will make brainliest
Answers
√8×20
=√8×√20
=√(2×4)×√(4×5)
=2√2×2√5
=4√10
Answer: 4√10
Answer:
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Step-by-step explanation:
Given : [tex]\sqrt{8 *20}[/tex].
To find : Combine and simplify these radicals.
Solution : We have given that [tex]\sqrt{8 *20}[/tex].
We can write 8 as 4 *2 and 20 as 4 *5
Then ,
[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{(4 *2 )*(4 * 5)}[/tex].
[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{4 *2}\ *\sqrt{4 *5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 2 [tex]\sqrt{2}\ *2\sqrt{5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{2 *5}[/tex].
[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
Therefore, [tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].
(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =
–2.8k3 – 3k2 – 3.7k
–2.8k3 + 3k2 – 1.3k
–2k3 – 3k2 – 1.3k
–2k3 + 3k2 – 3.7k
Answers
The correct answer is
[tex]- 2{k}^{3} - 3 {k}^{2} - 1.3k[/tex]
EXPLANATION
The given expression is
[tex](0.4 {k}^{3} - 2.5k) - (2.4 {k}^{3} + 3 {k}^{2} - 1.2k)[/tex]
We expand the brackets to obtain,
[tex]0.4 {k}^{3} - 2.5k- 2.4 {k}^{3} - 3 {k}^{2} + 1.2k[/tex]
We now group like terms to obtain,
[tex]0.4 {k}^{3} - 2.4 {k}^{3} - 3 {k}^{2} + 1.2k- 2.5k[/tex]
We simplify further to get,
[tex]- 2.0 {k}^{3} - 3 {k}^{2} - 1.3k[/tex]
This is the same as,
[tex]- 2{k}^{3} - 3 {k}^{2} - 1.3k[/tex]
Therefore the correct answer is option C.
Find the Value of X. If your answer is not an integer, express it in simplest radical form.
Answers
Side c is the hypotenuse (longest side). So for question 5 it’s 14^2 + 16^2.
Please help me hurry!!!!
ASAP HELP ME
Answers
What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 7 centimeters. The top right side of the x shape is labeled 4 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 8 centimeters.
Answers
To find the length of this side, we need to know the relationship between the different sections when chords cross each other.
The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.
Our equation can be written as:
7(8) = 4(x)
56 = 4x
14 = x
The value of n for the given circle with chords is; n = 14
How to find the length of a chord?
To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.
Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;
7(8) = 4(n)
56 = 4n
14 = n
Read more about Length of Chord at; https://brainly.com/question/13950364
A large suburb currently uses square signs to notify drivers of nearby bike lanes. In order to increase the visibility of these signs, the mayor wants to increase their dimensions. The new signs will be 12 inches longer and 8 inches taller than the current signs. Suppose x represents the side measure of the current signs, in inches. Determine the equation that represents the area, y, in square inches, of the new signs.
Answers
Length of new sign will be 12 inches longer. So the length of new sign = (x+12) inches
Width of new sign will be 8 inches longer. So the width of new sign= (x+8) inches
Since the length and width of new sign are different, its shape will be rectangular. The area of a rectangle is the product of its length and width.
So the area of new shape will be:
y = (x+12)(x+8) square inches
Answer:
[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches
Step-by-step explanation:
If dimension of signs are increased then new sides will be x+8 and x+12
It will change fom square into a rectangle So, its area will be given by :
AREA (y) = (x+8)(x+12)
[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. find the probability of exactly five girls in ten births.
Answers
This answer explains how to calculate the probability of having exactly five girls in ten births using the binomial probability formula.
Explanation:Probability of Exactly Five Girls in Ten Births:
Calculate the probability of having a girl in a single birth: P(girl) = 0.5Use the binomial probability formula to find the probability of having exactly five girls in ten births: P(5 girls) = (10 choose 5) * (0.5)^5 * (0.5)^5Substitute the values and calculate the probability: P(5 girls) = 0.246
Trevor pays $125 in fees each semester plus $650 per college course.
Last semester Trevor paid $2,725.
Which function represents Trevor’s bill?
A.f(x) = 125x + 650
B.f(x) = 650x + 125
C.f(x) = 775x
D.f(x) = 525x
Answers
This is an example of an equation in slope-intercept form, y = mx + b.
The slope, m, is the amount of increase each course, or 650.
The y-intercept, b, is the starting fees that are paid.
Put them together and you have: y = 650x + 125 of Choice B.
Naomi needs 2 cups of chopped apples for a fruit salad she is making. she only has a one-fourth cup measuring cup. how many times will naomi need to fill the measuring cup to get 2 cups of apples
Answers
1/4*8=2
Can anyone help me how to solve this?
Answers
2) 2^3 * 2^7 = 2^10
3)7^2*7^6 = 7^8
hope it helps
then for [tex] 7^{2}*7^{6}=7^{6+2}=7^{8}[/tex] then a =8 in here
and also [tex] 3^{6}*3^{5}=3^{6+5}=3^{11}[/tex] then a =11 in this example
for [tex]2^{3}*2^{7}=2^{3+7}=2^{10}[/tex] then a=10 in here
Jorani flips two standard American quarters. How many ways can she get at least one head?
Hint: Let 2004-06-03-01-00_files/i0250000.jpg and let 2004-06-03-01-00_files/i0250001.jpg,
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What does it mean to say that the confidence interval methods of this section are robust against departures from normality?
Answers
Mia wants to find the surface area of this prism. which unit of measurement should mia use?
a. in.
b. in squared
c. in cubed
Answers
The reason is because the measurement of area is how much space a flat surface covers. You create little squares of the units to measure this space. Area is a two dimensional measurement.