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3 years ago

What is the area of the trapezoid? 88 in 2 128 in 2 96 in 2 48 in 2

Mathematics

2 answers:

kari74 [83]3 years ago

7 0

Answer:

88 in^2

Step-by-step explanation:

the formula for finding area of trapezoid :

a+b/2 × h (a : base, b : base, h : height)

16+6/2 × 8 = 88 in^2

harkovskaia [24]3 years ago

6 0

Answer:

Step-by-step explanation:

In the attached file

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You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv

Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)

0.12(11000) + 0.02y = 1500

0.02y = 1500 – 1320

0.02y = 180

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

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3 years ago

Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step

viva [34]

Answer:

In step 2, she didn’t use an x and y from the same coordinate pair

Step-by-step explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-1}{3-5}$

$m=\frac{4}{-2}$

$m=-2$

step 2

The equation of the line in point slope form is

$y-y1=m(x-x1)$

take the point (3,5)

$m=-2$

substitute

$y-5=-2(x-3)$

$y-5=-2x+6$

$y=-2x+6+5$

step 3

$y=-2x+11$

therefore

In step 2, she didn’t use an x and y from the same coordinate pair

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Answered respectively;
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First see you can factor out 4. What is left is x^2 + 6x - 16.
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I need help in my math homework

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