Answers
Answer:
A) 18°
Step-by-step explanation:
To find the measure of the indicated angle, we can use trigonometric ratios.
Looking at the triangle, we can see that we are given the lengths of the two legs of the triangle, but not the hypotenuse. Since we are not given the hypotenuse, the sine and cosine ratios would not work since both of them require the length of the hypotenuse. We can use the tangent ratio, since it only requires the lengths of the two legs. Remember:
[tex]tan(?)=\frac{opposite}{adjacent}[/tex]
From looking at the image, we can see that the length of the side opposite to the angle is 3, and the length of the side adjacent to the angle is 9. Thus, we can use 3 as out opposite and 9 as out adjacent:
[tex]tan(?)=\frac{3}{9}[/tex]
Now we solve for ?. Lets take the inverse tan of both sides to get rid of the tan on the left side:
[tex]?=tan^{-1}(\frac{3}{9})[/tex]
And we get:
? ≈ 18.4349488° ≈ 18°
So the answer would be 18°, or A.
I hope you find my answer to be helpful. Happy studying.
Related Questions
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(-1, 4)
(2, 2)
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Answer:
-2/3
Step-by-step explanation:
2-4 / 2-(-1)
2-4 / 2+1
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Answer:
3
Step-by-step explanation:
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5t + 4y
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Answer:
254.34 ft^2
Step-by-step explanation:
The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer
Answer:
254.34 ft
Step-by-step explanation:
radius (9)
multiply it by itself (9x9)
so then you get 81
then the two radius squared (81) is multiplied by pi (3.14)
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Good luck!
During her ride home from school, Dana sees 15 cars driven by men and
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next car Dana sees will be driven by a man?
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Answer: 30%
Step-by-step explanation:
what is the volume of the bench in cub feet?
Answers
Split it into two rectangles:
6 x 2 x 2 = 24
3 x 2 x 2 = 12
Now add:
24 + 23 = 36 cubic feet
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Answers
Answer: Figure A to Figure B is a scale factor of 0.5
Step-by-step explanation:
It's not too hard to figure out scale factor, since the two shapes are the same aside from their scale. Notice how Figure A is 4 units tall, and that Figure Bis 2 units tall. From one figure to another, use the equation Figure B/Figure A to find the scale factor. Although you won't really need to memorize all this, you can count the amount of units on your fingers and figure it out from there.
how do you get 0.1 x 2.4
Answers
Answer:
the answer is .24
Step-by-step explanation:
when you multiply 0.1 x 2.4 it equals out to .24
0.1 x 2.4= .24
Express the distance 440,000,000 meters using scientific notation in meters and then in millimeters. The distance 440,000,000 meters is expressed as how many meters in scientific notation.
Answers
.............................
the area of the recatangle is 112cm square if the length of the rectangle is 14cm what is the width of the rectangle
Answers
Answer:8cm
Step-by-step explanation:112/14=8
2. The volume of a cylinder is 95 cubic centimeters. Which equation
can be used to find h, the height of the cylinderę Circle the correct
answer.
Answers
Given:
The volume of a cylinder is 95 cubic centimetres.
To find:
The equation that can be used to find h, the height of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].
Now, volume of the cylinder is
[tex]V=Bh[/tex]
The volume of a cylinder is 95 cubic centimetres.
[tex]95=Bh[/tex]
[tex]\dfrac{95}{B}=h[/tex]
[tex]h=\dfrac{95}{B}[/tex]
Where B is the base area of the cylinder.
Therefore, the correct option is G.
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Answers
A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect
Answers
Answer:
The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect.
Step-by-step explanation:
Took the "quiz"
(Please mark Brainliest)
ichi ni san ñya arigato
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A regular octagon is an eight-sided polygon with side lengths that are all equal. All three octagons are scale drawings of each other. Use the chart and the side lengths to compute each scale factor as a percent. How can we check our answers
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Answer:
1.) 1.12/10= 1 2/10= 1.2% 10*1.2%=12
2.) 8/10=0.80% 10*0.80=8
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Can somebody help with my 2 way table assignments..? i know some of you will take this as a fre.e points question and i don't really care LOL.. just want some help.
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Answer:
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Step-by-step explanation:
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Answers
Answer:
64 degrees.
Step-by-step explanation:
We are given that angle QRP is 32 degrees.
We are also given that angle PRS is 84 degrees.
Add those two angles to get the measure of angle QRS.
measure of angle QRS= 116 degrees.
Same-side interior angles are supplementary
So,
116+ angle PQR= 180
subtract both sides by 116.
PQR=64
Therefore the measure of angle PQR is 64 degrees.
I hope this helps
What is the constant proportionality of (2, 0) (4, 2) (6, 4) (8, 6)
Answers
Answer:
Sorry but you just got coconut malled lol
Step-by-step explanation:
Here how you got coconut malled first you wanted to see an answer so your clicked answer which resolted in you Getting coconut malled. thanks for your time.
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Answers
Answer:
D) C': ( -3, -2), D': ( -4, 1), E': ( -1, -2)
Step-by-step explanation:
Formula for this equation:
(x - 5, y - 3)
C:
(2, 1)
(x - 5, y - 3)
C': ( -3, -2)
E:
(4, 1)
(x - 5, y - 3)
E': ( -1, -2)
D:
(1, 4)
(x - 5, y - 3)
D': ( -4, 1)
Find the surface area of the regular pyramid. 14mm and height is 11.
Answers
Answer:
504
Step-by-step explanation:
TSA (total surface area) = 1/2(p)(l) + B
p (perimeter) = 4(14) = 56
l (slant length) = 11
B (area of vase) = 14(14) = 196
TSA = 1/2 (56) (11) + 196
= 28(11) + 196
= 308 + 196
= 504
Students in Mrs. Kirby's English class recorded the number of hours they studied for final exams. The results are shown in the bar graph.
Mrs. Karty's English Com
Hours of Study
.
Days of the Week
Based on the information in the graph, what percent of the time spend studying was done from Monday to Wednesday?
A A) 45%
8 B) 18%
C C) 35%
D D) 50%
Answers
Anthony is looking to build a rectangular
fence in the backyard. He knows the
perimeter is 25 feet and that one
measurement is 5ft. Find the other missing
measurement
Answers
5+5=10
25-10=15
15/2=7.5
Answer: 7.5 feet
The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio
Answers
Answer:
Ratio (r) = 2
n = 7
Step-by-step explanation:
The formula for the sum of the nth term of a G.P is given as:
Sn = a(1-r^n)/(1-r)
Where n = Number of terms
r = Common ratio
The sum of the 1st nth term gp is 127.
Hence:
127 = 1(1-r^n)/(1-r)
The sum of the reciprocal is 127/64
The formula is inverted , hence:
Sn = 1/a(1-r^n)/(1-r)
127/64 = r^(1-n)(1-r^n)/(1-r)
Hence:
1/64 = r^(1-n)
r^(n-1) = 64
r^(n-1) = 2⁶
Hence:
r = 2
Solving for n
n - 1 = 6
n = 6 + 1
n = 7
Therefore:
r = 2
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Granny needs to paint a Loge made using two right triangles the dimensions Of the loge are shown below what is the difference between the area of the large triangle in the area of a small triangle
Answers
Answer:
The difference is
Step-by-step explanation:
Given
Large triangle
[tex]Base = 5cm; Height=9cm[/tex]
Small triangle
[tex]Base = 2cm; Height=6cm[/tex]
See attachment for logo
Required
The difference in their areas
Area is calculated as:
[tex]Area = 0.5 * base * height[/tex]
For the large triangle
[tex]Area = 0.5 * 5cm * 9cm[/tex]
[tex]Area = 22.5cm^2[/tex]
For the small triangle
[tex]Area = 0.5 * 2cm * 6cm[/tex]
[tex]Area = 6cm^2[/tex]
The difference (d) is calculated as:
[tex]d = 22.5cm^2 - 6cm^2[/tex]
[tex]d = 16.5cm^2[/tex]
find the value of x.
Answers
Answer:
x = 4
Step-by-step explanation:
Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{10-x}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(10 - x)
3x = 20 - 2x ( add 2x to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
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Answers
Answer:
12.1 cm
Step-by-step explanation:
What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
Answers
Answer:
Step-by-step explanation:
Base area * height
Answer:
i think that the answer is BH or Base area × Hight
The two angles are congruent. Find x
Answers
-x -x
16=3x-5
+5 +5
21=3x
x=7