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kvasek [131]
3 years ago
11

The area of the trapezoid is 30square inches.

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer:

the height is 7.5

Step-by-step explanation:

30 divided by 4 = 7.5

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Solving a word problem using a system of linear inequalities
horrorfan [7]

Inequalities help us to compare two unequal expressions. The shaded potion can be made as shown below.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Rita does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 11 hours. She spends at most 7 hours on weight training. She spends at most 8 hours doing cardiovascular work.

Therefore, For the given condition let x denote the time (in hours) that Rita spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training.

Now, the inequalities can be written as,

x + y > 11

x ≤ 7

y ≤ 8

Hence, the shaded potion can be made as shown below.

Learn more about Inequality:

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7 0
2 years ago
Use slope-intercept method help me
g100num [7]

Answer:

y=4x+3

Step-by-step explanation:

Find the intercept - that is 3

Find the slope - that is 4

7 0
3 years ago
In context, the phrase "This from her" (lines 47-48)
JulsSmile [24]

According to the In context, the phrase "This from her" (lines 47-48) helps to suggest that a <u>certain decision is out of character</u>

The correct option is C.

<h3>Explanation:</h3>

In the lines 47-48 the phrase "This from her" described that is complaining that everything she did was in vain, and that she later thought she would spend the rest of her days in New York, which led her to the choice she didn't want to make.

<h3>How do comprehension passages work?</h3>

Reading comprehension questions have a high chance of being scored. A passage is presented to us, along with some questions. Even if the information in the passage deviates from actual facts, the questions must be answered using it.

<h3>Describe a comprehension example.</h3>

The definition of comprehension refers to your capacity for understanding something or to the degree to which you actually comprehend something. Your level of understanding of a challenging math problem is an illustration of comprehension.

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5 0
2 years ago
Find the slope of the line graphed below.
m_a_m_a [10]

Answer: 3/2

Step-by-step explanation:

To find the slope, you want to take the two points and plug it into the formula m=\frac{y_2-y_1}{x_2-x_1}. That will find the slope. The points are (-5,-4) and (-1,2).m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}

Now, we know that the slope is m=\frac{3}{2}.

8 0
3 years ago
Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a st
Luda [366]

Solution:  

The description about the graph is:  

Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.  

Part A:  The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.  

If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.

Equation of line passing through two points,(x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })

Equation of line passing through (12.5,6) and (15,4) is given by

\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}

2x-25=-2.5+15

2x+2.5y=40

20x+25y= 400

4x+5y=80

Part B: Description of line of best fit  

A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.  

(C) 4 x + 5 y=80  

5 y= - 4 x +80

y=\frac{-4x}{5}+16

Slope = \frac{-4}{5}, Y- intercept = 16

8 0
3 years ago
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