Can someone please answer this quickly and correctly? 20 points!

Mathematics

1 answer:

Marysya12 [62]4 years ago

5 0

The missing side is 7 in

Explanation:
The information we have to know in order to solve this is that the formula of area of trapezoid is
a = 1/2h (b1 + b2)

We can fill in the information we know from the picture into the equation
15 = 1/2(3.4) (1.8 + b2)

The dimension we are solving for is b2, or base 2. To make it easier, let's replace b2 with n. Now we can solve this equation

1) Multiply 1/2 by 3.4, which is 1.7
15 = 1.7 (1.8 + n)

2) Distribute by doing 1.7 x 1.8 + 1.7 x n
15 = 17n + 3.06

3) Subtract 3.06 from both sides of the equation
15 - 3.06 = 17n + 3.06 - 3.06
11.94 = 17n

4) To isolate n, since we want one n instead of 17, we divide both sides by 17
11.94/17 = 17n/17
7 = n

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Solve. 1 3/4 + 7/8 = 2 1/4 3 1/2 2 3/8 2 5/8

antoniya [11.8K]

Answer:

2 5/8

Step-by-step explanation:

1 3/4 as a decimal is 1.75 and 7/8 as a decimal is equal to .875 add those together and you get 2.625 which is equal to 2 5/8

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%5E2%2B3y%2B2%3D0" id="TexFormula1" title="y^2+3y+2=0" alt="y^2+3y+2=0" align="absmiddle" cla

Semmy [17]

Answer:

y = - 2, y = - 1

Step-by-step explanation:

y² + 3y + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)

The factors are + 2 and + 1 , since

2 × 1 = 2 and 2 + 1 = 3 , then

(y + 2)(y + 1) = 0

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

y + 1 = 0 ⇒ y = - 1

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3 years ago

If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?

Vesna [10]

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = $\sqrt{{a}^2 + b^{2} }$ , where c is the hypotenuse and a and b are the legs of the triangle.