20 POINTS

To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.

Answer:

49.54

Step-by-step explanation:

Take the new price and add the amount that it was reduced by to get the original amount

47.25+2.29

49.54

That was the original price

Answer:

A

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

Answer:

y = -3x+ 4

one equation two unknows can not solve uniquely

4y = -12x + 16

y = -3x+ 4

is the solution set

Step-by-step explanation:

Answer:

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Step-by-step explanation:

12x + 4y = 16

12x + 4y - 4y = 16 - 4y

12x = 16 - 4y

[tex]\frac{12x}{12} = \frac{ 16 - 4y}{12}[/tex]

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

Answer:

Step-by-step explanation:

5$

Answer:

Step-by-step explanation:

Answer:

[tex]x=5,\:x=-11[/tex]

Step-by-step explanation:

We solve this with the quadratic formula.

[tex]x_1=\frac{-6+16}{2\cdot \:1},\:x_2=\frac{-6-16}{2\cdot \:1}[/tex]

-

Part (a)

The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.

A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.

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

Part (b)

While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).

So we multiply each side length in the diagram by 3

Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG

Answer:

x= 15

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

The volume of the cylinder is about 1256.6 cubic meters.

Step-by-step explanation:

The volume of a cylinder is given by the formula:

[tex]\displaystyle V=\pi r^2h[/tex]

Where r is the radius and h is the height.

Our radius is 10 meters and our height is four meters. Substitute:

[tex]\displaystyle V=\pi(10)^2(4)[/tex]

Evaluate:

[tex]V=400\pi \text{ m}^3\approx 1256.6\text{ m}^3[/tex]

Thus, the volume of the cylinder is about 1256.6 cubic meters.

Answer:

D or C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The graph goes up meaning it is positive.

Answer:

196608

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The secant- secant angle 3x is half the difference of the intercepted arcs, that is

3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )

3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )

x = 10

Answer:

Step-by-step explanation:

11 ÷ 4 = 2 + 2 = 4

1 + 4 + 4 = 9

19 ÷ 4 = 4

Answer:

1. spends $80

2. Each garlic bread costs the same

3. Orders a pizza for 25.50 and two garlic breads

Step-by-step explanation:

Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

Step-by-step explanation:

question 2

let the number be x

2 ( x + 5 ) = 5x - 14

2x + 10 = 5x - 14

2x - 5x = -14 - 10

-3x = -24

dividing both sides by -3

x = 8

to verify, 8 + 5 is 13 times 2 which 26..

so 5 times 8 is 40 minus 14 is 26

Answer:

answer is option c

4+8 is less than 14

12<14

the sum of two sides of a triangle should be greater than the other side

Answer:

The probability that it isn't orange is 5/6

Step-by-step explanation:

There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.

Many regards, Abdelmumen Nakoa.

Question 1 (The wood question)

Answer: 14 7/8

Explanation: (see attached photo!)

Question 2 (The graph question)

Answer: multiply the number of weeks by 3

Explanation: Look at the point where it's between 2 and 4

I hope this helps!

Answer:

[tex]Given,[/tex]

∠CBA=(7x+6)°

∠EBD=(9x-24)°

[tex]Now,[/tex]

∠CBA=∠EBD (vertically opposite angles)

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hope it helps...

have a great day!!

Answer:

(9 × 100) + (2 × 1) + (6 × 0.1) + (4 × 0.001)

Step-by-step explanation:

I am pretty sure

Answer:

900+0+2+0.6+0.00+0.004

Step-by-step explanation:

(9×100)+0+2+0.6+0.00+0.004

Answer:

Step-by-step explanation:

angle 4 is congruent to angle 4 because they are alternate interior angles.

angle 5 is congruent to angle 3 because they are alternate interior angles.

angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3

angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)

Answer:

Step-by-step explanation:

Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km

Answer:

18 N

Step-by-step explanation:

Let F denote the force, m denote the mass of the object and a denote the acceleration of the object.

[tex]F=ma[/tex]

[tex]m = \frac{F_{1} }{a_{1} }=\frac{63}{7} =9 kg[/tex]

[tex]F_{2} =ma_{2}=9*2=18N[/tex]