Answers
Answer:
BC = 15.01
Step-by-step explanation:
Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:
sinθ = opp / hyp
cosθ = adj / hyp
tanθ = opp / adj
θ means the "angle of reference" (angle we are talking about).
In this problem, θ is A = 65°,
To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.
We also use BC because we need to find it.
In relation to ∠A or θ, AC is adjacent and BC is opposite.
The ratio with adjacent and opposite is tangent.
tanθ = opp / adj Substitute the variables for this question
tanA = BC / AC Substitute the values you know
tan65° = BC / 7 Rearrange this and isolate C
BC = 7tan65° Multiply 7 and tan65 to find the missing side
BC = 15.011548...... Exact answer on your calculator
BC ≈ 15.01 Round to nearest hundredth
Related Questions
Please help. Simplify cos(−0)cot(−0) / csc(0)
Answers
Answer:
C) cos²(theta)
Step-by-step explanation:
csc(X) = 1/sin(X)
cos(-X) = cos(X)
tan(-X) = -tan(X)
cot(-X) = -1/tan(X) = -cos(X)/sin(X)
[cos(X) × -cos(X)/sin(X)] ÷ -1/sin(X)
-cos²(X)/sin(X) × -sin(X)
cos²(X)
Consider the two functions y=3/4x - 2 which statement is true?
a) function 1 has a greater rate of change by 1/4
Answers
The second line has a greater rate of change by 13/4.
To determine the rate of change, or slope, of the given graphed line, we employ the formula for calculating the slope between two points, expressed as:
a = (y2 - y1)/(x2 - x1)
Observing the graphed function, we identify two points, (0, -2) and (4, 0), and apply these coordinates to the slope formula
a = (0 - (-2))/(4 - 0) = 2/4 = 1/2
Having established that the slope of the first line is 1/2, we move on to the second line, which has a slope of 15/4. To find the difference in slopes, we subtract the slope of the first line from that of the second:
15/4 - 1/2 = 15/4 - 2/4 = 13/4
This calculation reveals that the second line has a greater rate of change by 13/4.
In summary, the step-by-step analysis indicates that the slope of the second line exceeds that of the first by 13/4.
The question probable may be:
Consider the two functions. Which statement is true?
A)Function 1 has a greater rate of change by 13/4
B)Function 2 has a greater rate of change by 13/4
C)Function 1 has a greater rate of change by 13/2
D)Function 2 has a greater rate of change by 13/2
Complete the factorization of 3r? – 10x + 8.
Answers
Please help i will mark as brainliest
Answers
Answer:
162 mL
Step-by-step explanation:
1.Convert all volumes to millilitres
(a) Chlorpheniramine
V = 100 mL
(b) Lidocaine
V = \text{2 oz} \times \dfrac{\text{29.57 mL}}{\text{1 oz}} = \text{ 59.14 mL)
(c) Banana flavouring
V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.93 mL}}{\text{1 tsp}} = \textbf{2.46 mL} }
2.Calculate the total volume
Chlorpheniramine = 100 mL
Lidocaine = 59.14
Banana flavouring = 2.46
TOTAL = 162 mL
Carter made a scale drawing of a house and its lot. In real life, the backyard is 63 feet long. It is
21 inches long in the drawing. What scale did Carter use for the drawing?
1 inch :
feet
Answers
Answer: what is the question??
Step-by-step explanation:
What is the sign of 3x y3xy3, x, y when x>0x>0x, is greater than, 0 and y<0y<0y, is less than, 0?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Positive
(Choice B)
B
Negative
(Choice C)
C
Zero
Answers
Answer:
B ) Negative
Step-by-step explanation:
Given the expression 3xy
when x>0 and y<0
The value of the expression 3xy will be negative.
This is because the product of a positive and negative number will always be negative.
For illustration,
Let x=5>0 and y=-5<0
3xy=3(5)(-5)=-75
NOTE:
[tex]-X-=+\\-X+=-\\+X+=+[/tex]
The following data points represent the yearly salaries of high school cheerleading coaches in Dakota county (in thousands of dollars). 41 38 36 57 43
Answers
Answer:
5.6 thousand
Step-by-step explanation:
To find the mean absolute deviation (MAD), first find the mean (or average).
μ = (41 + 38 + 36 + 57 + 43) / 5
μ = 43
Next, subtract the mean from each value and take the absolute value.
|41 − 43| = 2
|38 − 43| = 5
|36 − 43| = 7
|57 − 43| = 14
|43 − 43| = 0
Sum the results and divide by the number of animals.
MAD = (2 + 5 + 7 + 14 + 0) / 5
MAD = 5.6
Answer:
43 thousand dollars
A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such
cancer was found to be 0.0224% for those not using cellphones. Complete parts (a) and (b)
a. Use the sample data to construct a 95 i dence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system
%
(Round to three decimal places as needed)
Answers
Answer:
a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p
b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion = (131/420076) = 0.0003118483 = 0.0312%
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.
Critical value = 1.960 (from the z-tables)
Standard error = σₓ = √[p(1-p)/n]
n = sample size = 420,076
σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272
95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.000312 ± (1.96 × 0.0000272)
CI = 0.000312 ± 0.0000534
95% CI = (0.0002586055, 0.0003653945)
95% Confidence interval = (0.000259, 0.000365)
95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p
b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.
Hope this Helps!!!
3. Because h= b/2 we know that b =
Answers
Answer:
2 × h
Step-by-step explanation:
h = b ÷ 2 (multiply both sides by 2)
2 × h = b ÷ 2 × 2
2 × h = b
b = 2 × h
Answer:
2h
Step-by-step explanation:
If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?
Answers
To solve this you need to use this formula: 1/2Pi x D
So we can multiply 0.5 x 3.14 x 1.7
Your answer is 2.669
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 30 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches. What scale is Alexander using?
Answers
Answer:
Step-by-step explanation:
First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3000 ft = 1 in/300 ft
The scale for the drawing is 1 in:300 ft.
We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.
1200 ft times 1 in/300 ft = 4 in.
Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.
Which face of the net will be the shaded side of the prism when the net is folded.
A
B
C
D
Answers
Answer:
A
Step-by-step explanation:
A: will be the connect with 2 sides of hypotenuse of the triangle
8 into 6482 what is the placement value
Answers
Answer:
It is 80.
Step-by-step explanation:
It's pretty simple-> Thousands, Hundreds, Tens, Ones.
Answer:
The tens place
Step-by-step explanation:
place values:
6000
400
80
2
67/5 as a fraction in simplest form
Answers
Answer:
[tex] = 13 \frac{2}{5} [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: 13\\ 5 \sqrt{67} \\ \frac{ \: \: - 65}{ \: \: \: \: \: 02} \\ \\ \\ = 13 \frac{2}{5} [/tex]
So I know that 6 times 3 equals 21 but I don’t know how to find the total cups of paint for each problem. Please help asap! :(
Answers
would it be 10, I think if you divide 21/3 and 6/2 you get 7+3 is equal to 10
what is the domain of f(x) = 3x/x-1?
a all real numbers
b all nonzero numbers
c all real numbers except 1
d all real nunbers except 3
Answers
In the figure above, AB is tangent to the circle with center o at point A.
If AOB has a measure of 68 degrees, what is the measure, in degrees, of ABO?
Answers
Given:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
Measure of ∠ABO:
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
[tex]\angle ABO+\angle BAO+\angle AOB=180^{\circ}[/tex]
Substituting the values, we get;
[tex]\angle ABO+90^{\circ}+68^{\circ}=180^{\circ}[/tex]
Simplifying, we get;
[tex]\angle ABO+158^{\circ}=180^{\circ}[/tex]
[tex]\angle ABO=22^{\circ}[/tex]
Thus, the measure of ∠ABO is 22°
A translation moves point V(-2, 3) to V-2,7). Which are true statements about the translation?
1. The point moves two units left and four units up.
2.The transformation rule is (x,y) = (x+0.7+4).
3.The transformation is a vertical translation.
4.The image is four units to the left of the pre-image.
5.The translation can be described as (x, y) = (x-2, Y+7).
Answers
Answer:
2. The transformation rule is (x, y) -> (x + 0, y + 4).
Step-by-step explanation:
The true statements about the translation are:
2. The transformation rule is (x,y) = (x+0.7+4).
3. The transformation is a vertical translation.
The vertices are given as:
V(-2, 3) to V-2,7)
From the above vertices, we have the following transformation rule
(x,y) = (x+0.7+4).
Notice that the x-coordinate remains unchanged,
This means that the transformation is a vertical translation.
Hence, the true statements about the translation are: (2) and (3)
Read more about translation at:
https://brainly.com/question/11468584
If x negative squared = 16, what is the value of x squared?
A. 1/16
B. 1/4
C. 2
D. 4
E. 12
Answers
Answer:
Step-by-step explanation:
[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]
Cross multiplication,
[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]
Anja is creating a triangle using three straws. The two shorter straws have lengths of 20 cm and 21 cm. How long, in centimeters, should the third straw be for Anja to create a right triangle?
Answers
Answer: 29cm
Step-by-step explanation:
20^2+21^2=841
Then the square root of 841 is 29
The third straw should be 29cm long in order to form right angles triangles
Application of pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the square of the other two sides
Given the following
adjacent = 20 cm
Opposite side = height = 21cm
Required
Base of the ladder
Use the theorem
c^2 = 20^2 + 21^2
c^2 = 400 + 441
c^2 = 841
c = 29cm
The third straw should be 29cm long in order to form right angles triangles
Learn more on pythagoras theorem here: https://brainly.com/question/343682
(2x^2+4-5)-(-8x+2+x^2)
Answers
That is the answer.
Answer:
x2 + 8x - 3
Step-by-step explanation:
1 . ((2x2 + 4) - 5) - (x2 - 8x + 2)
2. Factoring x2+8x-3
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 8 .
Step 3. -3
+
1
=
-2
-1
+
3
=
2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
So that the answer
You start a search for a buried object by marking the center of a field as (0, 0), with
coordinates giving distances in yards. Coordinates to the north or east are positive, and
coordinates to the south or west are negative. You find nothing at (–10, 6), so you try a likely
looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the
coordinates of the second spot?
(–7, –6)
(12, –6)
(–13, –9)
(5, –3)
Answers
Answer:
(-7,-6)
Step-by-step explanation:
-10 + 3 = -7
6 - 12 = -6
(-7,-6)
EXPERIMENTAL
FISH
FREQUENCY
EXPERIMENTAL
PROBABILITY
pink salmon
yellowfin tuna
bluegill
Total
11
16
23
50
%
?
100%
0
E to search
Answers
Answer:
fish. pink salmon. 50. i like fish btw
Step-by-step explanation:
Experimental probabilities: Pink Salmon 22%, Yellowfin Tuna 32%, Bluegill 46%. Total probability equals 100%.
To find the experimental probability of each type of fish, we first need to calculate the percentage of each type of fish out of the total number of fish caught.
Experimental Probability ($P$) is given by:
[tex]\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \times 100 \][/tex]
Let's calculate:
1. Pink Salmon:
[tex]\[ P(\text{Pink Salmon}) = \frac{11}{50} \times 100\% = \frac{11}{50} \times 100\% = 22\% \][/tex]
2. Yellowfin Tuna:
[tex]\[ P(\text{Yellowfin Tuna}) = \frac{16}{50} \times 100\% = \frac{16}{50} \times 100\% = 32\% \][/tex]
3. Bluegill:
[tex]\[ P(\text{Bluegill}) = \frac{23}{50} \times 100\% = \frac{23}{50} \times 100\% = 46\% \][/tex]
Now, let's check if the total probability sums up to 100%:
[tex]\[ 22\% + 32\% + 46\% = 100\% \][/tex]
Yes, it does.
So, the experimental probability of catching pink salmon is [tex]\(22\%\),[/tex]yellowfin tuna is[tex]\(32\%\)[/tex], and bluegill is [tex]\(46\%\).[/tex]
Complete question;
What is the probability of selecting each type of fish in an experimental study when the total frequency of fish sampled is 50? The types of fish sampled are pink salmon, yellowfin tuna, and bluegill. The frequencies of each fish type are 11, 16, and 23 respectively.
Tree is 4.5 feet tall plum tree is 3/4 foot taller . How y’all is the plum tree
Answers
Answer:
7.875 (not sure what your unit is but include it here)
Step-by-step explanation:
3/4 of 4.5 is 3.375
3.375+4.5=7.875
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
Let k be Kevin's age and let d be Daniel's age.
Answers
Answer : Define F as fathers age and S as sons age right now.
Then now they are
(1) 3S = F
and six years ago they were
(2) 5*(S-6) = F-6
calculate 5*(S-6)
5S - 30 = F-6
Subtract left and right side by -F
Add 30 to left and right side
5S - F = 24
Put (2) 3S = F into the equation above
5S - 3S = 24
2S = 24
S = 12
insert result in (2) 3S = F
3*12 = F
36 = F
So the son is 12 years, and the father is 36 years.
"The correct system of equations to represent Kevin's and Daniel's ages is:
1. k = d + 3
2. k - 2 = 4(d - 2)
To solve for Kevin's and Daniel's current ages, we can substitute k from equation 1 into equation 2.
From equation 1:
k = d + 3
Substitute k into equation 2:
(d + 3) - 2 = 4(d - 2)
Now, simplify the equation:
d + 1 = 4d - 8
Combine like terms:
4d - d = 8 + 1
3d = 9
Divide both sides by 3 to solve for d :
d = [tex]\frac{9}{3}[/tex]
d = 3
Now that we have Daniel's age, we can find Kevin's age by substituting d back into equation 1:
k = d + 3
k = 3 + 3
k = 6
Therefore, Kevin is 6 years old and Daniel is 3 years old. The final answer is:
Kevin's age: k = 6
Daniel's age: d = 3 "
Which graph fits y=2x+1?
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
When you plug in one, y equals three and you have a point at hat ordered pair
When you plug in zero you get one, and you have a point at that ordered pair
the slop is going up, and in the equation the slope is positive
If r = 5 units and x = 8 units, then what is the volume of the cylinder shown above?
A.
200 cubic units
B.
40 cubic units
C.
800 cubic units
D.
130 cubic units
Answers
Answer: the answer is 200
Step-by-step explanation:
30 POINTS HELP ME
A photo of a wooden fence gate is shown. Wooden braces on the gate form a right triangle. The base is labeled twenty-four inches. The hypotenuse is labeled thirty-eight inches. The height is labeled x inches.
Find the value of x in the diagram to the nearest tenth.
Answers
Answer:
x is √868, If rounded then its 29.5 inches
Step-by-step explanation:
Please please answer this correctly I have to finish this today as soon as possible
Answers
Answer:
Step-by-step explanation:
Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).
Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).
Find the weight of the metal gate. I need help finding another to prove it weighs 42.5kl as you will see it is incomplete.
Answers
Answer:
150 kg
Step-by-step explanation:
The diagonal Piece: √5²+12² = 13
6 pieces: 5, 12, 5, 12, 13, 13
Total length: 2 x(5 + 12 + 13) = 60
Total weight: 60 x 2.5 = 150 kg
Answer:
150 kg
Step-by-step explanation:
The length of the diagonal:
sqrt(12² + 5²)
sqrt(169)
13
Total length:
2(13 + 12 + 5)
2(30)
60m
Mass;
60 × 2.5
150 kg