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2 years ago

Anybody know the answer?

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

8 0

Answer:

<h2>Option B </h2>

Step-by-step explanation:

As,

It has shown that line c cuts line b by making 90° so those lines are called perpendicular bisectors .

Hence,

Option B is the correct symbol shown for perpendicular bisector of line c to line b.

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Rewrite the expression 14m-(5+8m) without parentheses

JulijaS [17]

Answer:

14m-5-8m

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the

Annette [7]

Answer:

(a) 3 inches

(b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

1. Scale:

model length / real length = 1 inch / 2 feet

2. Proportion:

Naming x the model length:

1 inch / 2 feet = x / 6 feet

Cross multiply:

1 inch × 6 feet = 2 feet × x

Divide both sides by x:

x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0

3 years ago

Which of the following describes the graph of 2x + 4y < 16?

kherson [118]

<h3>Answer: A) Dashed line, shaded below</h3>

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Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

---------------------

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

6 0

3 years ago

How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism

harina [27]

Answer:

see the explanation

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

For both prism the formula is the same

How is it different?

Rectangular prism

The area of the base is given by the formula

$A=LW$ -----> is the area of rectangle

where

L is the length and W is the width of rectangle

The perimeter of the base is given by

$P=2(L+W)$ ---> is the perimeter of rectangle

The height H is the same in both cases

Triangular prism

The area of the base is given by the formula

$A=\frac{1}{2} (b)(h)$ -----> is the area of the triangular base

where

b is the base of triangle and h is the height of triangle

The perimeter of the base is given by

$P=(a+b+c)$ ---> is the perimeter of triangle

where

a, b and c are the length sides of triangle

The height H is the same in both cases

3 0

3 years ago

Read 2 more answers

Item 15

blsea [12.9K]

The right question is that the lowest altitute is 3^8 feet

You are told that the highest altitude is 3 times the lowest altitude =>

highest altitude = 3 * lowest altitude = 3 * 3^8 feet.

Now you use the ruel of mutiplication of powers with the same base: copy the base and sum the exponents => 3 * 3^8 = 3 ^(1+8) = 3^9.

Note: remember that 3 = 3^1.

Answer: 3^9 feet

8 0

3 years ago