All categories

3 years ago

Question is 15 points

Mathematics

1 answer:

Illusion [34]3 years ago

5 0

In every right triangle, legs are hypothenuse are linked by the following relationship: the sine of an angle is given by the ratio of the opposite leg and the hypothenuse, while the cosine of an angle is given by the ratio of the adjacent leg and the hypothenuse.

In this case, the hypothenuse is 391 units long, while the 267-units-leg is adjacent to the angle you're interested in.

For this reason, you have

$\cos(A) = \cfrac{267}{391} \approx 0.68286445$

To find the value of the angle, simply invert this formula:

$A = \arccos(0.68286445) \approx 46.93$

If we need to approximate this value to the nearest degree, we can observe that 46.93 lies between 46 and 47. So, we have to choose the closest one.

46 is 0.93 units far, while 47 is only 0.07 units far, so the answer is 47.

You might be interested in

Brian’s Toy Store building is worth $600,000.00 and is insured for $420,000.00. Assuming an 80 percent coinsurance clause and th

vagabundo [1.1K]

I think it’s D $191,000.00

8 0

3 years ago

Read 2 more answers

The telephone company charges $1.35 fir the first 3 minutes of a phone call and $0.35 for each additional minute. i talk on the

irinina [24]

Answer:

$5.20

Step-by-step explanation:

Talked on the phone for 14 minutes .

14 - 3 = 11

11 x .35 = 3.85

3.85 + 1.35 = 5.2

8 0

3 years ago

72.2 is incorrect :( i don’t know how to solve this (Geometry)

Triss [41]

AC and DB are the same length. Set the two to equal each other and solve for y.

9y + 1 = 8y +17

Subtract 8y from both sides:

y + 1 = 17

Subtract 1 from each side:

y = 16

Now you know Y you can find the the length of DB:

DB = 8y +17 = 8(16) +17 = 128 + 17 = 145

EB is half of DB:

EB = 145 / 2

EB = 72.5

6 0

3 years ago

Angle M and Angle N are vertical angles. The measure of Angle M is 3x – 18. The measure of Angle N is x + 30.

torisob [31]

Answer:

$24 = x$

$54° = Measure\:of\:Angle\:N$

$54° = Measure\:of\:Angle\:M$

Step-by-step explanation:

Vertical Angles are congruent, so set the two expressions equal to each other:

[x + 30]° = [3x - 18]°

-[3x]° - [3x]°

___________

−18° = 30° - [2x]°

- 30° - 30°

____________

−48° = [−2x]°

____ ___

−2° −2°

$24° = x$ [Plug this back into both expressions to get both m∠N and m∠M at 54°.]

I am joyous to assist you anytime.

5 0

3 years ago

Match the solid figure to the appropriate formula.

AlekseyPX

1. $L \cdot A=\pi r l$ - Cone

2. $V=\frac{4}{3} \pi r^{3}$ - Sphere

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$ - Cylinder

4. $V=\frac{1}{3} B h$ - Pyramid

5. $L . A=p h$ - Prism

Solution:

1. $L \cdot A=\pi r l$

Lateral surface area of cone = $\pi r l$

where r is the radius of the cone and l is the slant height of the cone.

2. $V=\frac{4}{3} \pi r^{3}$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere.

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$

Total surface area of cylinder = $2 \pi r h+2 \pi r^{2}$

where r is the radius of the cylinder and h is the height of the cylinder.

4. $V=\frac{1}{3} B h$

Volume of pyramid = $\frac{1}{3} B h$

where B is the base area of the pyramid and h is the height of the pyramid.

5. $L . A=p h$

Lateral surface area of prism = $p h$

where p is the perimeter of the base and h is the height of the prism.

4 0

3 years ago