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3 years ago

Devaughn is 14 years younger than Sydney. The sum of their ages is 52.What is Sydney's age?

Mathematics

1 answer:

artcher [175]3 years ago

5 0

Set up an equation and solve:
2x-14=52
2x=66
x=33
sydney is 33 and devaughn is 19

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Please help me out :)

arlik [135]

Answer:

$\frac{\sqrt{17} }{7}$

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sinx = $\sqrt{1-cos^2x}$

Note that ( $\frac{4\sqrt{2} }{7}$ )² = $\frac{32}{49}$

sinΘ = $\sqrt{1-(32/49)}$

= $\sqrt{\frac{17}{49} }$ = $\frac{\sqrt{17} }{7}$

5 0

3 years ago

Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.

miv72 [106K]

(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y

4 0

3 years ago

Practice Skills_ Simplifying Inequality1. 3( 1/2 - y) = 3/5 + 15y. What isthe solution to the given inequality?

Angelina_Jolie [31]

3( 1/2 - y) = 3/5 + 15y

Applying distributive property:

3*1/2 - 3y = 3/5 + 15y

3/2 - 3y = 3/5 + 15y

3/5 is adding on the right, then it will subtract on the left

3y is adding on the left, then it will subtract on the right

3/2 - 3/5 = 15y + 3y

15/10 - 6/10 = 18y

9/10 = 18y

18 is multiplying on the right, then it will divide on the left

9/10*1/18 = y

1/10*1/2 = y

1/20 = y

6 0

1 year ago

In circle C with m \angle BCD= 46m∠BCD=46 and BC=3BC=3 units, find the length of arc BD. Round to the nearest hundredth.

jolli1 [7]

The length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.

We are given the following:

Radius (r) = 3 units

Reference angle (∅) = 46°

Plug in the values into the length of arc formula:

Length of arc = 46/360 × 2π(3)

Length of arc = 2.41 units.

Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

Learn more about length of arc on:

brainly.com/question/2005046

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2 years ago

What were the<br>prominent primary, secondary and tertiary effects the disaster brought?

Aleonysh [2.5K]

Primary effects are the direct result of the natural disaster, such as collapsed buildings and water damage. Secondary effects are the result of primary effects. ... Tertiary effects are the long term effects of natural disasters.

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3 years ago