Nick wants to build a banister for the staircase in his home. The height of the staircase is 8 feet, and the horizontal distance from the bottom to the top of the staircase is 15 feet.

What is the length of the banister? Round to the nearest tenth, if necessary.

Answer:

60

Step-by-step explanation:

24 dividend by 4 equals 6.

this means 10% of the original price is 6.

6 times 10 equals 60

hope this helps!!!

Answer:

B'C' = 2 units

Step-by-step explanation:

The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).

Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:

A'B'/AB = B'C'/BC

Substitute

8/24 = B'C'/6

Cross multiply

24*B'C' = 8*6

24*B'C' = 48

B'C' = 48/24

B'C' = 2 units

Answer:

the answer is x=10

Step-by-step explanation:

10*10=100

100-10=90

the red square means 90°

Answer:

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.

Step-by-step explanation:

Converting inch measures to feet :

1 inch = 0.0833 feets

Volume of rectangular prism :

V = Lenght * width * height

Volume of plastic container:

16 in = 16 * 0.0833 = 1.3328 feets

13 in = 13 * 0.0833 = 1.0829 feets

Volume of plastic container :

V = 1.3328 * 1.0829 * 1.75 = 2.526 ft³

Volume of box :

1.5 * 1.5 * 14 = 31.5 ft³

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.

Answer:

20 minutes

Step-by-step explanation:

y=(12/3)*5=20

Answer:

32

Step-by-step explanation:

twelve less than 32 is 20.

its very simple really, just do 20+12 or 12+20 either way its 32

have a great day :D

Answer:

If it's twelve less than a number is 20 then 32 is the answer.

Step-by-step explanation:

BTW, I know someone else already answered this I just really need points. Pls, don't report. Sorryyyyyy

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.

Given:

The figure of a quadrilateral ABCD.

To find:

The supplement of angle ABC.

Solution:

We know that, two angles are called supplementary angles if their sum is 180 degrees.

[tex]\angle ABC+\angle BAC=110^\circ+40^\circ[/tex]

[tex]\angle ABC+\angle BAC=150^\circ\neq 180^\circ[/tex]

So, [tex]\angle BAC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle ADC=110^\circ+90^\circ[/tex]

[tex]\angle ABC+\angle ADC=200^\circ[/tex]

So, [tex]\angle ADC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle DAB=110^\circ+(40+30)^\circ[/tex]

[tex]\angle ABC+\angle DAB=110^\circ+70^\circ[/tex]

[tex]\angle ABC+\angle DAB=180^\circ[/tex]

So, [tex]\angle DAB[/tex] is a supplement of [tex]\angle ABC[/tex].

In the same way [tex]\angle ABC+\angle BDC\neq 180^\circ[/tex].

So, [tex]\angle BDC[/tex] is not a supplement of [tex]\angle ABC[/tex].

Therefore, the correct option is C.

Step-by-step explanation:

The answer is

[tex] \frac{1}{3} [/tex]

The number keeps subtractrating 1/3 when we go to the right.

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

Common difference

[tex] = 3 \frac{2}{3} - 4 \\ \\ = \frac{11}{3} - 4 \\ \\ = \frac{11 - 12}{3} \\ \\ = - \frac{1}{3} [/tex]

Answer:

[tex]20x^{4} - 39x^{3} + 26x^{2} - 6x[/tex]

hope this helps

Answer:

Please read explanation

Step-by-step explanation:

As long as you know that the two shapes are similar, you can use one dimension on both figures to calculate the scale factor. For example, if you know the width of the shape, divide one width by the other to find the scale factor.

Answer:

$5.00

Step-by-step explanation:

6.50-1.50=5

or

1.50+5=6.50

where each donut is about $1.67

I cant wait to get my account banned. Anyways that it

Answer:

$3

Step-by-step explanation:

You subtract the amount spent on dinner from the whole - 20 - 11.95 = 8.05

Then you subtract the amount remaining - 8.05 - 2.05 = 6

Then divide by two because they are both the same price - 6/2 = 3

Answer:

3$ and the tip would be 2$ I belive

Step-by-step explanation:

Answer:

x = [tex]\frac{\sqrt{12} }{3}[/tex]12 = 8[tex]\sqrt{3}[/tex]

y = [tex]\frac{\sqrt{3} }{3}[/tex]12 = 4[tex]\sqrt{3}[/tex]

Let me know if you need some help simplifying the expressions or o the trig side of things

Step-by-step explanation:

I'm not sure if this is full out trig or recognizing special triangles, specifically 30-60-90 triangles.  Of course since one angle is 30 degrees and the other is 90 degrees this is a 30-60-90 triangle.

with 30-60-90 tringles  the basic guide is as follows.

The three legs will be referred to as the hypotenuse, short leg and long leg.  I will use H, S and L.  

H = 2S = [tex]\frac{\sqrt{12} }{3}[/tex]L

S = .5H = [tex]\frac{\sqrt{3} }{3}[/tex]L

L = [tex]\frac{\sqrt{3} }{2}[/tex]H = S[tex]\sqrt{3}[/tex]

If this is trig just break out the unit circle and SOH CAH TOA

So x is the hypotenuse, and y is the short leg and we know the long leg is 12, so we can use that.

to find the hypotenuse knowing the long leg we use H = [tex]\frac{\sqrt{12} }{3}[/tex]L and to find the short leg with the long leg you use S = [tex]\frac{\sqrt{3} }{3}[/tex]L.  now just plug in 12 for L

Answer:

a. 3 13/14

Step-by-step explanation:

i hope this helps :)

Answer:

To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

28 would be your answer

hope it helped you

Answer:

28

Step-by-step explanation:

+10

3r=84

/////////

3     3

r = 28

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Step-by-step explanation:

9. 9x+1 + 9x+1 +88 =180

18x = 90

x = 5

Answer:

(x - 1)² + 16

Step-by-step explanation:

Subtract 17 from both sides of the equation.

Use the formula (b/2)² to see which number you have to add to both sides.

Add 1 to both sides of the equation.

Factor the left side of the equation into a perfect square.

Add 16 to both sides of the equation.

(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.

Answer:

No

Step-by-step explanation:

Answer:

letter a

Step-by-step explanation:

hope it helps

..............

Answer:

5

Step-by-step explanation:

x/5=3/9

9x=45

x=45/9

x=5

Answer:

r/8

Step-by-step explanation:

Answer:

3 blue expo markers

Step-by-step explanation:

15(0.2)=3

Answer:

Expression: 2m + 2.50

Step-by-step explanation:

This is the expression that shows the total cost of Jose's trip.

The "2m" is because he has to pay $2 per each mile (m) he travels. The "+ 2.50" is because Jose has to pay $2.50 for the flag fall as well.

Hope it helps!