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padilas [110]
3 years ago
13

Devaughn’s age is three times Sydney’s age. The sum of their ages is 44. What is Sydney’s age?

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0
Idk but i think it’s either 14 or 15 I might be wrong sorry if I am Bc i didn’t get 44 i either got 45 or 43 I got 43 when I put 14 if that helps and 45 when I put 15
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3 years ago
Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!
erastova [34]
<h3>Answer: 45</h3>

The value is approximate.

==========================================================

Explanation:

Focus on the upper triangle.

Label the unknown horizontal side as y

Use the pythagorean theorem to solve for y

a^2+b^2 = c^2

10^2 + y^2 = 26^2

100+y^2 = 676

y^2 = 676-100

y^2 = 576

y = sqrt(576)

y = 24

-----------

Now move to the bottom triangle

With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.

Use the sine rule to connect the two and solve for x

sin(angle) = opposite/hypotenuse

sin(32) = y/x

sin(32) = 24/x

x*sin(32) = 24

x = 24/sin(32)

x = 45.2899179551967 which is approximate

x = 45 rounding to the nearest whole number

Side x is approximately 45 cm long.

Note: make sure your calculator is in degree mode.

7 0
3 years ago
Complete the open array model to find 1,950 ÷ 6.
gizmo_the_mogwai [7]

Answer:

The answer is 325

Step-by-step explanation:

3 0
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The sum of five consecutive integers is 55. Find the integers.​
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Answer:

9, 10, 11, 12, 13

Step-by-step explanation:

(x-2)+(x-1)+x+(x+1)+(x+2) = 55

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What is the sum?
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This is the answers from MathPapa

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