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3 years ago

Find the area of this composite figure.

Mathematics

2 answers:

kodGreya [7K]3 years ago

6 0

Answer: 171 cm

Step-by-step explanation: im not sure if this is right but

9x12=108

9x7=63

108+63=171

Brut [27]3 years ago

5 0

Area of triangle = ½bh
Area of rectangle = bh

Total area = Area of triangle + Area of rectangle

Area of rectangle = (12 cm)(9 cm)
Area of rectangle = 108 cm²

Area of triangle = ½(9 cm)(7 cm)
Area of triangle = ½(9 cm)(7 cm)
Area of triangle = 31.5 cm²

Total area = 31.5 cm² + 108 cm²
Total area = 139.5 cm²

Answer: 139.5 cm²

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What is 2^c=8 (please help)

valentina_108 [34]

Answer:

c=3.

Step-by-step explanation:

∵2*2*2=8,

∴2^3=8.

∵2^c=8,

∴c=3.

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2 years ago

Write the equation of a line perpendicular to 5x - 7y =-6 that passes through the point (-5,6)

Likurg_2 [28]

9514 1404 393

Answer:

7x +5y = -5

Step-by-step explanation:

You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.

7x +5y = 7(-5) +5(6) = -5

The perpendicular line through (-5, 6) is ...

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3 years ago

Write an equation in slope-intercept form for the line that passes through the point (-8, 2) and is perpendicular to the line y

tamaranim1 [39]

Answer:

y = -5x/4 - 8

Step-by-step explanation:

Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

y - 2 = -5/4(x-(-8))

Simplify:

y - 2 = -5/4(x+8)

y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

3 0

3 years ago

In AGHI, the measure of ZI=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ZH to the nearest tenth of a degree.

iVinArrow [24]

Answer:

15.1

Step-by-step explanation:

4 0

3 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$