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3 years ago

If the area of the trapezoid below is 75 square units, what is the value of x?

Mathematics

1 answer:

4vir4ik [10]3 years ago

7 0

Answer:

6 units

Step-by-step explanation:

The formula for a trapezoid is ((b1+b2)/2)h.

Here, we see b1 = 8 and b2 = 17.

If the area of the trapezoid is 75, we can make the equation :

75 = ((8+17)/2)x , where we would solve for x.

First, we simplify the right side of the equation :

75 = (25/2)x

Multiply both sides by 2 to get rid of the "/2"

150 = 25x

Then divide both sides by 25.

6=x

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aleksandrvk [35]

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60=3x

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3 years ago

Corrie breathed 1 × 107 times in a year. She blinked 8 × 106 times that year. How many more times did Corrie breathe in a year t

Mkey [24]

Answer:

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Step-by-step explanation:

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3 years ago

Find the square root of the decimal no 2.56

Alenkasestr [34]

Consider this decimal as a fraction.

We have:

$\sqrt{ \frac{256}{100} }$

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5 0

3 years ago

N = 20

lesantik [10]

Answer:

A. 30.144

Step-by-step explanation:

This is a Chi-Squared test

Given:

$n=20$
$s=18$
$\textsf{H}_0:\sigma^2=384$
$\textsf{H}_1:\sigma^2 > 384$
The significance level is 5%, so $\alpha= 0.05$

To use the Chi-Square distribution table, you need to know two values:

Degrees of freedom = (n - 1)
Significance level

Degrees of Freedom = n - 1 = 20 - 1 = 19

The significance level is 5%, so $\alpha= 0.05$

This is a one-tailed test since $\textsf{H}_1:\sigma^2 > 384$ so Upper tail area = 0.05

Reading from the table (attached), the critical value is: 30.144

(This means that we reject $\textsf{H}_0$ if the test statistic is greater than 30.144)

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2 years ago

SINE COSINE and TANGENT ratios (Type an integer or simplified fraction)

katen-ka-za [31]

Answer:

17 / 8

Step-by-step explanation:

sec A = $\frac{1}{cos A}$

cos A = $\frac{40}{85}$ = $\frac{8}{17}$ ⇒ sec A =  $\frac{17}{8}$  

6 0

3 years ago