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Answer:

Step-by-step explanation:

rational integer and real

it is rational because it is a perfect root of 2

it is a integer because every positive and negative numbers are integers.

Answer:

-33

Step-by-step explanation:

[tex](3^2+4-2)(2^2-3-4)[/tex]

[tex](9+4-2)(4-3-4)[/tex]

[tex](13-2)(1-4)[/tex]

[tex](11)[/tex] · [tex](-3)[/tex]

(-33)

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

Given:

The function is:

[tex]y=2x^2+3x[/tex]

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

[tex]y=2x^2+3x[/tex]

Substituting [tex]x=-2[/tex], we get

[tex]y=2(-2)^2+3(-2)[/tex]

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Step-by-step explanation:

Write what you know

mean is: Sum of all data points / Number of data points

any unknown number we'll call x

so youd write

(x + $3191) / 2 = $4444

Solve for x

let me know if you need further help

Answer:

19 and 91

Step-by-step explanation:

The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous

The number of teams formed by the total number of students will be 4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that centre, Middle School is having a pie eating contest and needs a team consisting of 5 people from Mrs Brown's classroom. There are 20 students in Mrs Brown's classroom.

The number of teams will be calculated as,

N = 20 / 5

Therefore, the number of teams formed by the total number of students will be 4.

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Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

Answer:

35

Step-by-step explanation:

I used Symbolab here's the screenshot

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Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

Answer:

55%

Step-by-step explanation:

Percent spent = (amount spent / total income) x 100

( $11000 /  $20000) x 100 = 55%

Answer:

Hello! answer: 22.96

Step-by-step explanation:

Area is base × height × 1/2 or base × height ÷ 2

Im going to use the second method.

8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

The total area of the room and the sitting room is 286.93 feet squared

The figure above is a composite figure as it has both rectangle and a semi circle.

The area of the figure(sitting room) is as follows:

total area = area of rectangle + area of semi circle

area of rectangle = lw

where

Therefore,

l = 15 ft

w = 14 ft

area of rectangle = 15 × 14 = 210 ft²

Area of semi circle = πr² / 2

Area of semi circle = 3.14 × 7² / 2

Area of semi circle = 3.14 × 49 / 2

Area of semi circle = 153.86 / 2

Area of semi circle = 76.93 ft²

Area of the sitting room and room= 210 + 76.93 = 286.93 ft²

learn more on area here: https://brainly.com/question/8140198

Answer:

m∠RST= m RT= 60°

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✎--------------

hope it helps...

have a great day!!

Answer:

2/4 cup

Step-by-step explanation:

Unsweetened cocoa powder needed = 3/4 cup

Unsweetened cocoa powder borrowed = 1/4 cup

how much of his own cocoa powder did he have?

Let

x = Unsweetened cocoa powder Mr kacanich has

Unsweetened cocoa powder needed = Unsweetened cocoa powder Mr kacanich has + Unsweetened cocoa powder borrowed

3/4 = x + 1/4

Subtract 1/4 from both sides

3/4 - 1/4 = x + 1/4 - 1/4

3/4 - 1/4 = x

x = (3-1)/4

x = 2/4 cup

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

answer: the answer is c

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

Answer:

well time has to be on the X-axis because it is an independent variable

as a distance will be dependent variable Y-axis

Answer:

Step-by-step explanation:

kk

Answer:

[tex] - 2 \frac{1}{3} - ( - 5) \\ = - \frac{7}{3} + 5 \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]

Answer:[tex]454.019\ ft^2[/tex]

Step-by-step explanation:

Given

Diameter of semi-circle is [tex]d=34\ ft[/tex]

So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]

Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]

[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]

Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]

Answer:

Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]

Step-by-step explanation:

No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].

Answer: the answer is 100

Step-by-step explanation:

Answer:

Group A has greater variability in the data.

Step-by-step explanation:

We use elimination. Clearly, from the MAD, Group A has greater variability in the data.

So, choice 1.