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Marrrta [24]
3 years ago
15

Kala runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?​

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

4.2 miles

Step-by-step explanation:

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Richard and Teo have a combined age of 37. Richard is 4 years older than twice​ Teo's age. How old are Richard and​ Teo?
valkas [14]

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

<u><em>First set up the equations:</em></u>

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

<u><em>Then, solve the equations:</em></u>

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

5 0
3 years ago
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 area A of a sector of a circle is given by A=πr²s/360, where r is the radius of the circle and s is the angle measure(in deg
Leokris [45]
A= \frac{ \pi r^2s}{360} \\  \\   \pi r^2s=360A \\  \\ s= \frac{360A}{ \pi r^2}
5 0
3 years ago
Read 2 more answers
Please help!!! ILL GIVE U BRAINLIEST.
Viktor [21]

Answer:

f(x) is translated by 4 units left.

Step-by-step explanation:

did it help ?

well, hope it helps !

6 0
3 years ago
Mandy built a pyramid for her project on Egypt with a volume of 483
emmainna [20.7K]

Answer

We have,

Volume of pyramid = 4834 in³

Base area of the pyramid = ?

Assuming height of the pyramid = 20 in

We know that

Volume of pyramid =\dfrac{hlw}{3}  

           4834=\dfrac{20\time lw}{3}  

           l w = 725.1 in²

Hence, area of the base of the pyramid is equal to 725.1 in².

4 0
3 years ago
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