The answer is a, this is because 5(2+4) is the same as multiplying 5 by 6 to get 30. The reason we do this is because the length of the entire side is the sum of the bottom numbers

4 0

3 years ago

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A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft. The ramp will start 6 ft from the door. To th

zimovet [89]

Answer:

6.32 feets

Step-by-step explanation:

Given that:

Height of ramp = 2 feets

Length of base = 6 feets

Length of ramp = l

Using Pythagoras rule :

Hypotenus = sqrt(opposite² + adjacent²)

Length of ramp = sqrt(height of ramp² + length of base²)

l = sqrt(2² + 6²)

l = sqrt(4 + 36)

l = sqrt(40)

l = 6.3245

Length of ramp = 6.32 feets

3 0

3 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 5 ft/s alo

harina [27]

Answer:

25/3 ft/s

Step-by-step explanation:

Height of pole , h=15 ft

Height of man, h'=6 ft

Let BD=x

BE=y

DE=BE-BD=y-x

All right triangles are similar

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

$\frac{AB}{CD}=\frac{BE}{DE}$

$\frac{15}{6}=\frac{y}{y-x}$

$\frac{5}{2}=\frac{y}{y-x}$

$5y-5x=2y$

$5y-2y=5x$

$3y=5x$

$y=\frac{5}{3}x$

Differentiate w.r.t t

$\frac{dy}{dt}=\frac{5}{3}\frac{dx}{dt}$

We have dx/dt=5ft/s

Using the value

$\frac{dy}{dt}=\frac{5}{3}(5)=\frac{25}{3}ft/s$

Hence, the tip of his shadow moving with a speed 25/3 ft/s when he is 45 feet from the pole.

8 0

3 years ago

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Identify steps. to solve -3 + x =11 ​

Identify steps. to solve -3 + x =11