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Nataliya [291]
2 years ago
6

Can someone please help me out with this question ??

Mathematics
2 answers:
Nezavi [6.7K]2 years ago
5 0

Answer:

A = 28 units ^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

The base is 14 and the height is 4

A = 1/2 (4) * 14

A = 28 units ^2

Doss [256]2 years ago
3 0
A2 + B2 = c2
16+121 = c2
-/~137 = 11.7
14-11.7 = 2.3
Same process again
5.3 +16
-/~ 21.3 = 4.6
14+11+5.3+4.6+4 = 38.9
Answer = 38.9
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On a morning of a day when the sun will pass directly​ overhead, the shadow of a 60​-ft building on level ground is 25 ft long.
AysviL [449]

Answer:

The shadow is decreasing at the rate of 3.55 inch/min

Step-by-step explanation:

The height of the building = 60ft

The shadow of the building on the level ground is 25ft long

Ѳ is increasing at the rate of 0.24°/min

Using SOHCAHTOA,

Tan Ѳ = opposite/ adjacent

= height of the building / length of the shadow

Tan Ѳ = h/x

X= h/tan Ѳ

Recall that tan Ѳ = sin Ѳ/cos Ѳ

X= h/x (sin Ѳ/cos Ѳ)

Differentiate with respect to t

dx/dt = (-h/sin²Ѳ)dѲ/dt

When x= 25ft

tanѲ = h/x

= 60/25

Ѳ= tan^-1(60/25)

= 67.38°

dѲ/dt= 0.24°/min

Convert the height in ft to inches

1 ft = 12 inches

Therefore, 60ft = 60*12

= 720 inches

Convert degree/min to radian/min

1°= 0.0175radian

Therefore, 0.24° = 0.24 * 0.0175

= 0.0042 radian/min

Recall that

dx/dt = (-h/sin²Ѳ)dѲ/dt

= (-720/sin²(67.38))*0.0042

= (-720/0.8521)*0.0042

-3.55 inch/min

Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min

8 0
3 years ago
The diffrence between two positive numbers is 7 and the square of thier sum is 289​
kicyunya [14]

Answer:

One of the Numbers is -151 and the other is -144

Step-by-step explanation:

Set up the equations then solve

6 0
2 years ago
Solve for x 2 + x = - 5
Scrat [10]
X= -7

2+x=-5 if you move the constant to the right side it would be x=-5-2 which equals -7
6 0
2 years ago
Read 2 more answers
Finding the lowest terms
blsea [12.9K]
The lowest terms of what????!!!
3 0
3 years ago
Read 2 more answers
cylinder with height 9 inches and radius is filled with water, it can fill a certain pitcher. How many of these pitchers can a c
larisa [96]

Answer:

4

Step-by-step explanation:

The 1st cylinder used to fill the pitcher has:

height:

h = 9 in

radius:

r = r

The volume of a cylinder is given by:

V=\pi r^2 h

Therefore, the volume of the 1st cylinder is

V=\pi r^2 9=9\pi r^2

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.

Then, we have a second cylinder, which has height

h = 9 in

and radius

r' = 2r

So the volume of this cylinder is

V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2

This means that the number of pitchers that can be filled by this 2nd cylinder is

n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4

8 0
3 years ago
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