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Vladimir79 [104]
4 years ago
14

In the scale used on a blueprint, 14

Mathematics
1 answer:
Sati [7]4 years ago
3 0

Answer:

On the scale 24 feet represents 62.06 feet.

Step-by-step explanation:

In the given  scale:

14 inch represents 3 feet

Now, covert both the parameter into same length parameter.

1 inch  =  0.08333  feet

⇒14  inch =  14  x 0.08333 = 1.16 feet

or, by conversion  14 inch = 1.16 ft

Hence, on the given scale, (14 inch = 1.16 ft ) represents 3 feet.

Let us assume that  24 feet represents k ft on the scale.

Then by RATIO OF PROPORTIONALITY:

\frac{1.16}{3}   = \frac{24}{k}  \implies k = \frac{24 \times 3}{1.16}  \\= 62.06

Hence, on the scale 24 feet represents 62.06 feet.

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Together, two boys had 43 cents. The first boy spent 5 cents and the second boy spent 13 cents. The first boy’s remaining money
o-na [289]
Hello kiddio lets figure this out!

Let x = first 

<span>y = second </span>

<span>Then </span>

<span>x - 5 = remainder of first </span>

<span>y - 13 = remainder of second </span>

<span>x - 5 = 2/3(y - 13) </span>

<span>3x - 15 = 2y - 26 </span>

<span>3x - 2y = - 11................(1) </span>

<span>x + y = 43....................(2) </span>

<span>From (2) y = 43 - x..........(3) </span>

<span>Put (3) in (1) </span>

<span>3x - 2(43 - x) = - 11 </span>

<span>3x - 86 + 2x = - 11 </span>

<span>5x = 75 </span>

<span>x = 15 cents </span>

<span>y = 43 - 15 </span>

<span>= 28 cents
</span>
Have  a nice day
8 0
4 years ago
45-
belka [17]

Answer:

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4 0
4 years ago
1 of 5 equal parts is known as?
krek1111 [17]
<span>☆ If you have lets say, 1 more out of 5 pieces of pizza, then you would say this is known as: \frac{1}{5} because you have 1 more of 5 pieces.

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8 0
3 years ago
Solve the right triangle
defon
I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.

Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)

The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.

Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.

The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.

c= \dfrac{14}{\sin{46^o}}

\approx 19.46

The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.

Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.

The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.

b=\dfrac{14}{\tan{46^o}}

\approx 13.52

This should be what you are looking for. Enjoy!
6 0
3 years ago
If the mean of A and B is 20, the mean of B and C is 24 and the mean of A,B and C is 18.What is the mean of A and C?
Zielflug [23.3K]

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given;

mean of A and B = 20

mean of B and C = 24

mean of A, B and C = 18

\frac{A + B}{2} = 20\\\\A+ B = 40 ---- (1)\\\\\frac{B + C}{2} = 24\\\\B+ C = 48----(2)\\\\\frac{A+ B+ C}{3} = 18\\\\A+ B+ C= 54---(3)\\\\From (1); \ A = 40 - B\\\\From(2); \ C = 48 - B\\\\\Substitute \ the \ values \ of \ A \ and \ C \ into \ (3)\\\\(40-B) + B + (48-B) = 54\\\\simplify;\\\\(40 + 48) + (B-B-B)= 54\\\\88 -B = 54\\\\-B = 54-88\\\\-B = -34\\\\B = 34

Recall; A = 40 - B

           A = 40 - 34

           A = 6

Also, C = 48 - B

        C = 48 - 34

       C = 14

Therefore, the mean of A and C is calculated as;

= \frac{A + C}{2} \\\\= \frac{6 + 14}{2} \\\\= 10

5 0
3 years ago
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