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emmainna [20.7K]
4 years ago
14

Please answer ASAP!

Mathematics
1 answer:
7nadin3 [17]4 years ago
6 0

Answer:

h = 4.5 inches

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

We know A b1 and b2

20.25 = 1/2 (5+4)*h

20.25 = 9/2 h

Multiply each side by 2/9 to isolate h

2/9 * 20.25 = 2/9 *9/2 h

4.5 =h

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If x-2y=10 and x≠0, what is the value of 2x/y+5
VladimirAG [237]

Answer: 4

Step-by-step explanation:

x - 2y =10

x = 10 + 2y

\frac{2x)}{y + 5}

\frac{2(10+2y)}{y+5}

\frac{20+4y}{y+5}

\frac{4(5+y)}{y+5} ... cancel like terms (y + 5)

= 4

5 0
2 years ago
Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random
spin [16.1K]

Answer:

Between 12.614 years and 16.386 years

Step-by-step explanation:

Given that:

Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9

α = 1 -c = 1 -0.9 = 0.1

\frac{\alpha }{2}  = \frac{0.1}{2} = 0.05

The z score of \alpha /2 is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

z_{0.05}=1.64

The margin of error (e) = z_{0.05}\frac{\sigma}{\sqrt{n} } = 1.64*\frac{4.6}{\sqrt{16} }=1.886

The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)

4 0
3 years ago
You work full-time and make $17 per hour. What is your gross annual income?
GREYUIT [131]

Answer:

Your welcome

Step-by-step explanation:

$8160 the hours would be 480

$680 the hours would be 40

$35,360 the hours would be  2,080

$36,720 the hours would be 2,160

3 0
3 years ago
Rewrite the expression 2(x + 5) using the Distributive Property.​
ehidna [41]

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) <u>multiply</u> the number outside the bracket i.e. in this case '2', with the <u>values inside the brackets</u>.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

So

2(x + 5)

= (2*x)+(2*5)

=2x+10

<em>extention note:</em> <u>be careful</u> when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

5 0
3 years ago
Help plis and thank you<br><br> Find the value of x in the triangle shown below​
Semenov [28]

Answer:

61.31

Step-by-step explanation:

By using sinus rule

5 0
3 years ago
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