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2 years ago

Find the area of the figure.

Mathematics

2 answers:

alukav5142 [94]2 years ago

4 0

Answer: Area of the figure = 24

Concept:

Here, we need to know how to find the area of a triangle.

Area (triangle) = (1/2) · b · h

b = base

h = height

Solve:

Given coordinates on the graph

A (-5, 5)

B (-5. -3)

C (1, -3)

To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value

A (-5, 5)

B (-5, -3)

5 - (-3) = 5 + 3 = 8

To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value

B (-5, -3)

C (1, -3)

1 - (-5) = 1 + 5 = 6

Given expression

A = (1/2) · b · h

Substitute values into the expression

A = (1/2) · (6) · (8)

Simplify by multiplication

A = (1/2) · (48)

$\boxed{A =24}$

Hope this helps!! :)

Please let me know if you have any questions

Sergio039 [100]2 years ago

3 0

Answer:

24 units^2

Step-by-step explanation:

bc=6

ab=8

area of a triangle: b*l/2

6*8/2=24

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3 years ago

Solve the following equation for x. 7x-3y=-13

MArishka [77]

Answer:

x = 3/7y - 13/7

Step-by-step explanation:

7x-3y=-13

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x = 3/7y - 13/7

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3 years ago

Read 2 more answers

Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = average rent paid by 314 BYU students = $346

s = sample standard deviation = $86

n = sample of students = 314

$\mu$ = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, $\mu$ is ;

P(-2.082 < $t_3_1_3$ < 2.082) = 0.96

P(-2.082 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.082) = 0.96

P( $-2.082 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ , $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $346 -2.082 \times {\frac{86}{\sqrt{314} } }$ , $346 +2.082 \times {\frac{86}{\sqrt{314} } }$ ]

= [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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elena-s [515]

Answer:

B is the correct answer :))

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Step-by-step explanation:

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