Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6

20₁₀ = 16₁₀ + 4₁₀

and in base 10, 2⁴ = 16 and 2² = 4. So

20₁₀ = 10100₂

In other words,

10100₂ = 1 • 2⁴ + 0 • 2³ + 1 • 2² + 0 • 2¹ + 0 • 2⁰

Answer/Step-by-step explanation:

Scale factor: 1/4

AC = DF  and 10 ÷ 2.5 = 4

10 x 1/4 = 2.5

DE length: 5

AB = DE

20 x 1/4 = 5

BC length: 30

EF = BC

(Because EF is the dilation) 7.5 x 4 = 30

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

Answer:

x=6

Step-by-step explanation:

Answer:

The conclusion is correct because the coefficient before the variable is equivalent.

Step-by-step explanation:

The given equation is :

0.5(6x+4) = 3x+4

First, we will solve the equation.

3x+2=3x+4

A student concluded that the above equation has no solution. The conclusion is correct because the coefficient before the variable is equivalent. Hence, the correct option is (a).

Answer:

When d = 8

c = 48

when c = 54

d = 9

Step-by-step explanation:

We have the equation c is proportional to d

[tex]c \: \: \: \alpha \: \: d[/tex]

ie

[tex]\frac{c}{d} = \: a \: constant[/tex]

here given that c = 24 and d = 4 so,

[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]

so we have to find values for c and d which gives

c/d = 6

so when d = 8

[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]

Answer:

Step-by-step explanation:

We know:

‘c’ is directly proportional to‘d’

and

c = 24 when d = 4

W can write this in mathematical form as:

c∝d

Removing the proportionality symbol, k is the constant of proportionality

c = kd

To find the value of k, putting the known values of c and d

[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]

So the equation becomes

[tex]c = 6d[/tex]

To find the value of c when d = 8

[tex]c = 6*8\\c = 48[/tex]

To find the value of d when c=54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

Answer:

The answer gonna be B

u welcome

Answer:

A

Step-by-step explanation:

We can see that our figure is composed of a cylinder and a cone.

So, we can utilize the surface area formulas.

The surface area of a cylinder is given by:

[tex]SA=2\pi r^2+2\pi r h[/tex]

The first term is the two circular bases, and the second term is the lateral surface area.

Notice that the circular base has a diameter of 6. So, its radius is 3.

Also, the height of the cylinder is 50.

However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:

[tex]SA=\pi r^2+2\pi rh[/tex]

Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:

[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]

Now, we can determine the SA of the cone.

Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.

The lateral surface area of a cone is given by the formula:

[tex]SA=\pi r\ell[/tex]

Where r is the radius and l is the slant height.

The radius is 3 and the slant height is 5. Therefore:

[tex]SA=\pi(3)(5)=15\pi[/tex]

So, our total surface area is:

[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]

Simplify:

[tex]SA_{\text{Total}}=324\pi\\[/tex]

Approximate:

[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]

Hence, our answer is A.

Answer:

-13, -15, -17, -19, -21

Step-by-step explanation:

keep going but just add two :)

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Answer:

Please find attached the required flow chart proof created using Microsoft Visio

Step-by-step explanation:

The given parameters are;

[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC

Required to proof that ΔABD ≅ ΔCBD

The two column proof is given as follows;

Statement                [tex]{}[/tex]            Reason

[tex]\overline {BD}[/tex] bisects ∠ADC    [tex]{}[/tex]           Given

∠ADB ≅ ∠CDB    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] bisects ∠ABC    [tex]{}[/tex]           Given

∠ABD ≅ ∠CBD    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex]            [tex]{}[/tex]                Reflexive Property

ΔABD ≅ ΔCDB    [tex]{}[/tex]                ASA

The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.

Answer:

A) 32.474 + 16.577

     = 49.051

C) 19.213 + 4.578

     = 23.791

Step-by-step explanation:

Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.

A) 32.474 + 16.577

     = 49.051

B) 23.452 + 31.561

   = 55.013

C) 19.213 + 4.578

     = 23.791

D) 8.128 + 9.192

   = 17.32

We have to find the expression which contains 1 in the thousandths place in the sum.

We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.

Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.

Answer:

Its C, x≥0

Step-by-step explanation:

Edge 2020

Answer:person above is correct

Step-by-step explanation:

c

Answer:

The answer is C and D

Answer:

84 regular light bulbs

Step-by-step explanation:

When there are 7 regular light bulbs to every 1 energy saving one, there will be 7 more added for every 1 energy saving light bulb that there is. So if there is 12 energy saving light bulbs, just multiply 7 by 12 and you will get your answer.

Answer:

to find the answer, you need to find the measure of the angle on the other side of the 142. and since it's a straight line, those two angles measures are =to 180 (they're supplementary angles). so the measure of that angle is 38 degrees. to find the measure of the remaining angle, you subtract the angle measures you already know from 180 (because the sum of interior angles in a triangle is 180.) to, the answer is:

180-90-38= 52 degrees or A

Answer:

D is your answer HOPE THIS HELPS THANK ME PLEASE

Step-by-step explanation:

Answer:

cos(52.5°)sin(7.5°)

sin(52.5°)sin(7.5°)

cos(52.5°)cos(7.5°)

sin(52.5°)cos(7.5°)

In increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).

Statements that have more than one term and a variable is connected to another variable by a mathematical operator are called Expressions.

The expression given are

cos(52.5°)cos(7.5°)

sin(52.5°)cos(7.5°)

sin(52.5°)sin(7.5°)

cos(52.5°)sin(7.5°)

To arrange them into increasing order , the value of it has to be determined.

cos(52.5°)cos(7.5°) = 0.6088 * 0.9914 = 0.6036

sin(52.5°)cos(7.5°)= 0.7933*0.9914 = 0.7865

sin(52.5°)sin(7.5°)= 0.7933*0.1305 = 0.1035

cos(52.5°)sin(7.5°)= 0.6088*0.1305= 0.07945

Therefore in Increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).

To know more about Expressions

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Answer:

multiple choice?

Step-by-step explanation:

Answer:

1)mean =738.75

solution------->

Given

1) as per given informtaion for question no 1

daily wages. number of worker

500-600 12

600 -700 17

700-800 28

800-900 14

900 -1000 9

[tex]mean=\frac{fx}{x} \\or \frac{59100}{80} \\or 738.75[/tex]

Hope this helps ;D

Step-by-step explanation:

is this the table u r trying to do??

Answer: Ty can jump rope at 6:3 thats the ratio.

Step-by-step explanation:

You can burn an average of 200 to 300 calories in a mere 15 minutes workout with your jump rope. Everyone is different, but on average 10 – 25 Calories are Burned Jumping Rope every minute. Jumping rope can help you burn about 25% more calories per minute than running.

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)

When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:

[tex]\displaystyle a^{2} +b^{2} =c^{2}[/tex]

In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.

[tex]a=3\\b=6[/tex]

[tex]3^{2} +6^{2}=c^{2}[/tex]

Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.

[tex]3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36[/tex]

Substitute the numbers into the equation.

[tex]9+36=c^{2}[/tex]

Add:

[tex]45=c^{2}[/tex]

You're looking for the value of c, not c squared. To remove the square, you need to square root it.

[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }[/tex]

Using a calculator, find the square root of 45.

[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7[/tex]

The answer to your question is B) 6.7 inches.

Answer: A

Step-by-step explanation:

Use Pythagorean Theorem in order to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

(c is the hypotenuse)

So that would be:

[tex]3^{2} + 6^{2} = c^{2}[/tex]

If you solve this, you would find that:

[tex]c^{2} = 45[/tex]

[tex]c = 3\sqrt{5}[/tex]

Answer = B

Answer:

yes I think im not an expert but i think

Step-by-step explanation:

Answer:

Yes, all of them are correct.

Answer:

Step-by-step explanation:  

0.08 x 4,800 = 384 + 4800 = 5184 sorry if i get it wrong

Answer:

C. y=2.5x+3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

13*3=39

48-39=9

Answer:

48-39=9

        ^

(13 x 3=39)

Answer: 288 feet

Step-by-step explanation:

Length of drawing = 12 inches

Actual length = 12 × (4/2)feet = 24 feet

Width if the drawing = 6 inches

Actual width = 6 × (4/2)feet = 12 feet

The area of the actual room will be gotten by multiplying the dimensions. This will be:

= 24 feet × 12 feet

= 288 feet

========================================

Explanation:

Let's find the slope of the graphed line

Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get

m = (y2-y1)/(x2-x1)

m = (2-(-2))/(0-(-1))

m = (2+2)/(0+1)

m = 4/1

m = 4

The slope of the graph is 4. This is the same as the rate of change for this graph.

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

Repeat those steps for the data table

I'll pick the first two rows (0,-6) and (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-6))/(2-0)

m = (-2+6)/(2-0)

m = 4/2

m = 2

The slope, or rate of change, here is 2

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

Now subtract the two slopes: 4-2 = 2

The answer is 2.

The difference between the rates of change for these two functions

is 2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

We know the slope(m) between the two points (x₁, y₁) and (x₂, y₂) is given by, m = (y₂ - y₁)/(x₂ - x₁).

The two coordinate points of the graph of the line are (0, 2) and (- 1, - 2).

slope(m₁) = (- 2 - 2)/(- 1 - 0).

slope(m₁) = 4.

Slope(m₂) = (- 2 + 6)/(2 - 0).

slope(m₂) = 2.

Therefore, The difference between the rate of change of the two functions is, m₁ - m₂ = 4 - 2 = 2.

learn more about slopes here :

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Answer:

39001

Step-by-step explanation:

Answer:

−190b+16y−8

Step-by-step explanation: