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xenn [34]
3 years ago
8

Helppppppp mathhhhhhhhh

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0
Cosα=adjacent/hypotenuse

In this case you have:

cosα=FE/DF

DF=FE/cosα, we are told that FE=13 and α=34 so

DF=13/cos34

DF≈15.68 which is

DF≈15.7 (to nearest tenth)
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Solve for n <br> 4 + (n + 10) = 25
diamong [38]
N+10=25-4
n+10=21
n=21-10
n=11
3 0
3 years ago
Read 2 more answers
The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris
Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

5 0
3 years ago
An airplane's altitude in feet during its descent can be found using the equation y=-150x + 30,500. After new government regulat
Inga [223]

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

8 0
2 years ago
For each function f(x,y,z), determine whether its gradient points radially outward from the origin, radially inward toward the o
CaHeK987 [17]

Answer:

A. Inwards towards the z axis

B. Points radially outward from z origin

C. Radially inwards toward origin

D. points radially outward from origin

Step-by-step explanation:

8 0
3 years ago
Given the function h(x)=-4+6,<br> Find the value of h(-2)
valina [46]

h(x) = -4 + 6

h(x) = 2

h(-2) = 2 because It's a constant function, when you substitute any x-values, you still get the same y-value.

Even if you substitute x = 1000, you still get y = 2.

Therefore, h(-2) = 2

-----------

If you mean h(x) = -4x+6

then h(-2) = 8+6 = 14

therefore, h(-2) = 14 for h(x) = -4x+6

4 0
3 years ago
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