MATHEMATICS MIDDLE SCHOOL

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Answers

Answer 1

Answer:

Answer:

$7 units^2$

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

$A=lw$

The formula for a right trapezoid:

$A=(1)/(2) (h)(a+b)$

Area of square:

$A=(2)(2)\nA=4$

Area of right trapezoid:

$A=(1)/(2) (2)(1+2)\nA=3$

Add up the individual areas to find the overall:

4 + 3 = 7

Answer 2

Answer:

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

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Related Questions

Pls answer this question correctly and I will mark it has brainlist please
a whole pie is cut into 8 equal slices three of the slices are served how much of the pie is left
How many seconds ,4:30-5:05
List five numbers that hav 3,5,and 7 as prime factors
Big bend national park has about 870 oak trees. Brazos bend state park has about 565 oak trees. About how many more oak trees does big bend national park have than Brazos bend state park

A cone and a cylinder have congruent height and bases. The volume of the cone is 18. What is the volume of the cylinder? Explain please and thank you!

Answers

The volume of a cone is given by the formula: V = 1/3 * B * h where B is the area of the base and h is the height of the cone.

The volume of a cylinder is given by the formula V = B*h where B is the area of the base and h is the height of the cylinder.

1/3 Bh = Bh because the bases and heights of the two solids are the same.

The volume of the cylinder is 3 times the volume of the cone.
3 * 18 = 54 which is the volume of the cylinder.

Correct Answer:

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.

The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?Need answer ASAP

Answers

Answer:

dollar: 14

quarter: 12

Step-by-step explanation:

d = dollar

q = quarter

d+q=26

26 - q + q/4 = 17

q = 12

d = 26 - 12 = 14

Is (-4,- 4) a solution of y > -6x – 1 ?
Choose 1 answer:

Answers

Answer:

Step-by-step explanation:

I got it right

Final answer:

The point (-4, -4) does not satisfy the inequality y > -6x – 1, therefore it is not a solution to the inequation.

Explanation:

To determine whether the point (-4, -4) is a solution to the inequality y > -6x – 1, we need to substitute the points into the inequality and see if they satisfy it.

We replace y with -4 and x with -4 in the given inequality:

-4 > -6*(-4) -1

-4 > 24 - 1

-4 > 23

As we observe, the inequality is not satisfied. Thus, the point (-4, -4) is not a solution of the inequality y > -6x – 1.

Learn more about Inequalities here:

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How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing? Explain your reasoning.

Answers

Answer:

The image of point (x , y) by dilation with center origin and scale factor k is (kx , ky)

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

figure does not change.

- The scale factor, measures how much larger or smaller

the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In a problem of dilation

∵ The center of dilation is the origin

∵ The scale factor of dilation is k

∵ The point is (x , y)

- In dilation with center origin and scale factor k to find the image

of the point multiply each coordinates of the point by the scale

factor k because the distance d between the point and the

origin will be equal kd which is the distance between the origin

and the image of the point d is depending on the coordinates

of the point

∴ The image of point (x , y) by dilation with center origin and

scale factor k is (kx , ky)

* Ex: If point A is (3 , 4)

∵ The distance from the origin to point A = $\sqrt{(3)^(2)+(4)^(2)}=√(9+16)=√(25)=5$

∵ The scale factor of dilation is 2 and the center is the origin

∴ The image of A is A' = (3 × 2 , 4 × 2) = (6 , 8)

∵ The distance from the origin to point A' = $\sqrt{(6)^(2)+(8)^(2)}=√(36+64)=√(100)=10$

∵ 10 ÷ 5 = 2 which is the value of the scale factor

∴ The image of point (x , y) by dilation with center origin and

scale factor k is (kx , ky)

What is 30/7 as a whole number

Answers

It can only be written as a mixed number (4 and 2/7) or a decimal (4.2857. . .), not a whole number.

Final answer:

The fraction 30/7 approximates to 4.28, which isn't a whole number. However, rounding down to the nearest whole gives us 4. Hence, 30/7 as a whole number is 4.

Explanation:

The question is asking to express the fraction 30/7 as a whole number. To accomplish this, you would divide the numerator (30) by the denominator (7). The result of that operation is approximately 4.28, which isn't a whole number. But if we need to present it as a whole number, we round down to the nearest whole number. So, 30/7 as a whole number is 4. Just remember that 30 is not perfectly divisible by 7, therefore rounding is required for a whole number representation.

Learn more about Fractions and Division here:

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What are two inequalities to compare -17 and -22

Answers

The two inequalities are

-17 > -22

- 22 < -17

What is inequalities ?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Comparing the two numbers, if plotted on a graph, we can see that -17 is much nearer to the point zero and -22 is farther from point zero. Therefore, we can say that -17 is greater than -22 or -22 is less than -17.

This can be represented with the help of two inequalities, greater than and less than.

first, -17 > -22 (greater than)

second, - 22 < -17 (less than)