During a sale, a store offered 35% discount on a particular couch that was originally priced at $390. After the sale, the discount price of the camera was increased by 35%. What was the price of the couch after this increase? Round to the nearest cent.

Answer:

V = 8796.45 [tex]cm^3[/tex]

Step-by-step explanation:

Given data :

A lamp shade is in the form of a frustum of a cone.

The upper diameter of the cone, r = 10 cm

The lower diameter of the cone, R = 20 cm

The height of the frustum, h = 12 cm

Therefore, the volume of the frustum of cone is given by :

[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]

Putting the values, we get

[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]

[tex]$V=4 \pi[400 + 200+100]$[/tex]

[tex]$V=4 \pi[700]$[/tex]

V = 8796.45 [tex]cm^3[/tex]

Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]

Answer: 8

Step-by-step explanation:

16/5 x 10/4 = 8

Answer:

Area = 8 inches

Step-by-step explanation:

[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]

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[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Given,

< BAG = 2x°

< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]

< CAD = x°

____________________

Value of x = ?

____________________

From the figure we can see that,

< BAG + < BAC + < CAD = 180° (supplementary angles)

____________________

So to solve,

[tex] < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]

⏩ The value of x is [tex]\boxed{30}[/tex]

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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex]RainbowSalt2^{2}2^{2}[/tex] ღ

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Answer:

C'(-1,1)

Step-by-step explanation:

The coordinates of C are (-2,4).

The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.

(-2+1,4-3)

=(-1,1)

C' has the coordinates (-1,1)

Answer:

Step-by-step explanation:

By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.

Answer:

The height is 10ft

Step-by-step explanation:

Given

[tex]V = 1041\frac{1}{4}ft^3[/tex] --- Volume

[tex]L = 12\frac{1}{4}ft[/tex] --- Length

[tex]W = 8\frac{1}{2}ft[/tex] --- Width

Required

The height (H)

The volume is calculated using:

[tex]V = LWH[/tex]

Make H the subject

[tex]H = \frac{V}{LW}[/tex]

Substitute values for V, L and W

[tex]H = \frac{1041\frac{1}{4}}{12\frac{1}{4}*8\frac{1}{2}}[/tex]

Express as decimals

[tex]H = \frac{1041.25}{12.25*8.5}[/tex]

[tex]H = \frac{1041.25}{104.125}[/tex]

[tex]H = 10[/tex]

The height is 10ft

Answer: 44º

Step-by-step explanation:

Hi there! To start out, disregard Y and Z, as they are just there to trip you up.

Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!

82+54+X=180

Then, add the whole numbers!

136+X=180

Then isolate X by using inverse operations!

136+X-136=180-136

Then your answer is there!

X=44

If you have any follow up questions, please let me know! Have a nice day

Answer: The usual number of yellow eggs in the selected sample is 26.

Step-by-step explanation:

It is given that there are 2 types of dragon eggs: Yellow and green

Observation says that 39% of the eggs are yellow.

When selected at random for incubation:

Number of eggs selected are = 66

To evaluate the number of yellow eggs, we must calculate 39% of 66 eggs

[tex]\Rightarrow \frac{39}{100}\times 66\\\\\Rightarrow 25.74\approx 26[/tex]

Hence, the usual number of yellow eggs in the selected sample is 26.

Answer:

150

Step-by-step explanation:

3x x 5= 15

y=15

5 x 15 = 75

75 x 2 = 150

Answer:

2xy = 150

Step-by-step explanation:

Plug in the values of x and y into 2xy.

You would get 2(5)(3x), which simplifies to 30x.

Plug in the value of x again.

30(5) = 150.

Answer:

[tex]\displaystyle m = \frac{-2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (0, -1)

Point (-3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

see below

Step-by-step explanation:

-90 degrees, the rule is (x, y) --------> (-y, x)

The leftmost point is at (1,1) so it will be at (-1, 1)

The top right point is at (4,1) so it will be at (-1,4)

The bottom right point is at (4,-1) so it will be at (1,4)

Answer:

Step-by-step explanation:

In this case "solving" involves isolating the variable, x, on the left side of this equation.  

Starting with x - 1/3 = 1/3, we add 1/3 to both sides.  This results in:

x = 1/3 + 1/3, or x = 2/3.

Answer:

27 is the correct answer

Answer:

27

Step-by-step explanation:

Answer:

2 whole pieces

5/24 feet left

Step-by-step explanation:

divide 5/6 by 5/16 = 2 2/3 pieces

so there are 2 whole pieces and 2/3 small piece.

The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft

Answer:

No problem, here is a tip

Step-by-step explanation:

take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9

Answer:

a) y > 14

Step-by-step explanation:

Answer:

-17 =s

Step-by-step explanation:

-8s +4 = -7s +21

Add 8s to each side

-8s+8s +4 = -7s+8s +21

4 = s+21

Subtract 21 from each side

4-21 = s+21-21

-17 =s

Answer:

s = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-8s + 4 = -7s + 21

Step 2: Solve for s

Solution :

Given that the area model that represents a quotient of 108 ÷ 9.

So, we multiply 9 by multiples of [tex]10[/tex] to [tex]\text{estimate the quotient.}[/tex]

10       20      30       40      

90      180     270     360    

Because 108 is between 90 and 180, the quotient lies between 10 and 20.

Using 10 as the first partial quotient in the area model for 108 ÷ 9,

9 x 10 = 90 ,         so 108 - 90 = 18

Now, 9 x 2 = 18,   so 18 - 18 = 0

∴ 10 + 2 = 12

Therefore, the quotient of 108 ÷ 9 is 12.

Answer:  108 ÷ 9 is 12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Product of b and 5 = b*5 = 5b

Inequality:

5b ≥ - 23

Solution:

Divide both sides by 5

b ≥ -23/5

b ≥ -4.6

Answer:

5b≥ -23

Step-by-step explanation:

product of b and 5  - this means multiply

5b

is greater than or equal -  ≥

5b≥ -23

Solving

Divide by 5

5b/5≥ -23/5

b≥ -23/5

Answer:

Step-by-step explanation:

Trigonometric  table has the value of the trigonometric ratio of Sin, Cos ,  Tan , Csc, Sec & Cot of the angles 0° , 30°, 45° , 60°, 90°

Cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex]

Tan 30 = [tex]\frac{1}{\sqrt{3} }[/tex]

[tex]Csc 45 = \sqrt{2}\\\\\\Sec 60 = 2[/tex]

Answer:

X is equals to 2

Step-by-step explanation:

I hope it helps you

Answer:

yes they ar op b

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

Since ABCD is similar to EFGH, therefore, the ratio of their corresponding sides are equal. Thus:

AB/EF = CD/GH

AB = 3

EF = 2

CD = 4.5

GH = y

Substitute

3/2 = 4.5/y

Cross multiply

3*y = 4.5*2

3y = 9

Divide both sides by 3

3y/3 = 9/3

y = 3

Answer:

$5.6

Step-by-step explanation:

Answer:

8*30/100= 2.4

so present cost = 8.0 - 2.4 = $ 5.6

Step-by-step explanation:

Answer:

Volume = 840 cm^3

Step-by-step explanation:

Volume = Area of front x the length

Area of front = 15 x 8 = 120 cm^2

                     = 4 x 5 = 20 cm^2

                     = 120 + 20 = 140 cm^2

Volume = 140 x 6

Volume = 840 cm^3

If this helps you, please mark brainliest!

Answer:

Formula for Volume - L x W x H

Volume = 1080cm^3

360 + 720

1080

Answer:

40% profit

Step-by-step explanation:

There is a profit of $50.

If you were to find the percentage, you would divide 50 by 125. This would give you 0.4

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Answer:

[tex]m = \frac{1}{2}[/tex]

Step-by-step explanation:

Two points are ( 8, 0 ) and  (0 , - 4)

              [tex]slope \ , \ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -0}{0-8}=\frac{-4}{-8} = \frac{1}{2}[/tex]

Answer:

The answer is below

Step-by-step explanation:

A map can either be scaled up or scaled down. If the map is enlarged then it is scaled up and hence represented by n:1, where n > 1. While is the map is reduced, it is scaled down and is represented by 1 : n, where n < 1.

Since one box has a length of 1 cm by 1 cm. The distance between A and B is 4 boxes = 4 cm = 0.04 m

Hence the scale is given as 1:n, where n > 1. n is gotten from:

n = 960 m / 0.04 m = 24000

Therefore the scale is 1 : 24000

Answer:

1:48000

Step-by-step explanation:

960m=96000cm

Answer:

[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]

Answer:

400 g

Step-by-step explanation:

0.20 x 2 kg = 0.4 kg

0.4 kg x (1000g / 1kg) = 400 g