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Artyom0805 [142]
3 years ago
12

Find the missing length of the right triangle.

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer:

20...................

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A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35
andrew-mc [135]

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint =  6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint =  35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x =  6 :15

\Rightarrow \frac {35}{x}=\frac{6}{15}

\Rightarrow x={35\times15}{6}=87.5

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

6 0
3 years ago
Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at
damaskus [11]

The question is incomplete. Here is the complete question:

Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at the end of her vacation was t dollars. Let d represent the number of days Val rented the bicycle. Write an equation representing the total cost at the end of her vacation.

Answer:

t=f+8.5d

Step-by-step explanation:

Given:

Flat rental fee = f

Variable fee per day = $8.50

Total cost at the end vacation = t

Number of days of her vacation = d

Using unitary method, we can find the variable fee for 'd' days.

1 day variable fee = $8.50

Therefore, 'd' days variable fee = 8.50d

Total cost at the end of her vacation can be obtained by adding the fixed rental fee and the variable fee obtained for the given number of days.

Now, total cost is given as:

Total cost = Flat rental fee + Variable fee

Substituting all the variables and framing above in the form of an equation, we get:

t=f+8.5d

Therefore, the equation representing the total cost at the end of her vacation is t=f+8.5d

7 0
3 years ago
Find the volume of the cone. Use 3.14 for p. Round to the nearest tenth.
Anastasy [175]
I hope this helps you



cones radius is 24/2=12


we have to find cones height


use Pythagorean


h^2+12^2=37^2


h =35


V=pi.r^2.h/3


V=3.14.12^2.35/3


V=5275.2
7 0
4 years ago
Find the perimeter of the outside of the hungry circle monster. The angle of its mouth is pi/3 radians and its radius is 7 inche
tatyana61 [14]

Answer:

C≈43.98in

Step-by-step explanation:

6 0
4 years ago
The angle between a 180-pound force F and AB= 5i + 2j is 30.Find the work done by F in moving and object from A to B.
Alexeev081 [22]

Answer:

W=839.464\ ft*lbf

Step-by-step explanation:

The work done is the product of the magnitude of the force applied to the object by the magnitude of the displacement of the object by the cosine of the angle between the force and direction of the displacement. This is:

W=|F|*|r|cos(\theta)

In this case

\theta=30\°

|F|=180 pound force

The magnitude of vector AB is:

|r|= \sqrt{5^2 + 2^2}\\\\|r|= \sqrt{29}\ fr

Finally the work is:

W=180*\sqrt{29}*cos(30\°)

W=839.464\ ft*lbf

6 0
3 years ago
Read 2 more answers
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