1. Solve -35 = -5x ........................

Answer:

15.62 feet

Step-by-step explanation:

If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.

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

let height of flagpole = a

let length of shadow = b

let distance between the two = c

[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \sf{see \:below}}}[/tex]

Step-by-step explanation:

d = 64° ( Being vertically opposite angles )

e = 64 ° ( Being alternate angles )

2. g + 125 ° = 180 ° ( sum of supplementary angle)

Move 125 to right hand side and change it's sign

g = 180° - 125°

Subtract 125 ° from 180 °

g = 55 °

f = g ( being alternate angles )

f = 55 °

Hope I helped!

Best regards! :D

Answer:

17

Step-by-step explanation:

subtract 9 from 26 and you should get the answer

Step-by-step explanation:

Area of a circle = πr^2 = π(7)^2 = 49πm^2.

Answer:

153.94 meters

Step-by-step explanation:

A= [tex]\\\pi[/tex][tex]r^2[/tex]

[tex]A=\pi \\[/tex][tex]7^2\\[/tex]

[tex]7^2 = 49[/tex]

[tex]\pi[/tex] x [tex]49 = 153.94[/tex]

Answer: 950,000

Step-by-step explanation:

base salary is 22,000

Target 60,000

60,000-22,000 =38,000 which is 4%

So 38,000/4 = 9,500 which is 1%

So 9,500 * 100 = 950,000 which is 100% total sale

So commission of 4% on 950,000 is 38,000

Therefore 38,000 + 22,000 = 60,000

Answer:

Here the value is similar to the value of pi ([tex]\pi[/tex])

Step-by-step explanation:

22 / 7 = [tex]\pi[/tex]

22 / 7 = 3.14159

So it is based on a multiple on the divisor 7

The {x} coordinate of the solution to the following system of equations is - 1.

Given is the system of equations as -

x − y = − 3

x + 3y = 5

We can write -

x - y = - 3

y = x + 3

So, we can write -

x + 3(x + 3) = 5

x + 3x + 9 = 5

4x = - 4

x = - 1

Therefore, the {x} coordinate of the solution to the following system of equations is - 1.

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Answer:

16 = n/12

Step-by-step explanation:

16 = n/12

Answer:

c= hy−w /6y

Step-by-step explanation:This is what i got.

Answer:

x= 17/15

Step-by-step explanation:

−1/2 x- 1/4 (10x−9)=−( -7/4 x+2)−x

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

Step 1

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

Step 2

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

[tex]150 / 20=7.5[/tex]

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

Answer:

Z/ pi^3 = h

Step-by-step explanation:

Z= pi^3h

Divide each side by pi ^3

Z/ pi ^3= pi^3h/pi ^3

Z/ pi^3 = h

Answer:

11a

Step-by-step explanation:

you can't find the exact answer unless we know what a is equal to

Answer:

0.36  

or

Step-by-step explanation:

Answer:

The independent quantity in the situation is the length of the diameter.

Step-by-step explanation:

Consider a relationship between two variables.

Of the two variables one variable is dependent upon the other.

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.

With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.

That is the volume of the sphere depends upon the length of its diameter.

Thus, the independent quantity in the situation is the length of the diameter.

Answer:

Company B is the better deal. Diego will save $31.5.

Step-by-step explanation:

First, find the area of the rectangle: 45*30=1350 sq.ft.

Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)

Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.

Multiply $3.9 by 135=526.5$

Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.

Dived 1350 by 450 to see how many rolls= 3

Multiply $150 by 3= $450, then add $45= $495

Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.

Diego will save $31.50 by choosing Company B instead of Company A.

For business A:

The yard's entire square footage is calculated as,

⇒ 30 x 45

⇒ 1,350 square feet

The total area covered by each roll of sod must then be determined in square feet is calculated as,

⇒ 2 x 5

⇒ 10 square feet per roll

The total quantity of sod rolls required is calculated as,

⇒ 1,350 / 10

⇒ 135

The price of each roll of sod is $3.90, making the total price of the sod calculated as,

⇒ 135 x $3.90

⇒ $526.5

For business B:

The garden is still 1350 square feet in size overall. Pallets have a surface area of 450 square feet each, thus a total of:

⇒ 1,350 / 450

⇒ 3

The price of the sod is $150.00 per pallet, making the total price calculated as,

⇒ 3 x $150

⇒ $450

In addition, there is a $45.00 one-time shipping fee. Therefore, Company B's overall cost is calculated as,

⇒ $450.00 + $45.00

⇒ $495.00

We can see by comparing the two options that Company B is the better value because it is less expensive than Company A. Diego will save:

⇒ $526.50 - $495.00

⇒ $31.50.

Diego will save $31.50 by choosing Company B instead of Company A.

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Answer:

13.5

Step-by-step explanation:

3 cups for 24 muffins

x cups for 108 muffins

x=(108*3)/24

x=13.5

Answer:

$37.84

Explanation:

We need to see what to multiply $40.47 by to find the price of the stock from the beginning. First, we need to subtract 100% by the percentage of gain.

100% - 6.5% = 93.5%

Next, we need to divide 93.5% by 100.

93.5% ÷ 100 = 0.935

Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.

40.47 × 0.935 = 37.83945 --> 37.84

Hope this helped!

$37.84

So we know that we need to see what to multiply $40.47 by to find the price of the stock from the beginning.

First, we need to subtract 100% by the percentage of gain.

100% - 6.5% = 93.5%

Next, we need to divide 93.5% by 100.

93.5% ÷ 100 = 0.935

Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.

40.47 × 0.935 = 37.83945 --> 37.84

Fianl result: $37.84

Answer:

f(0) = 3x : 0

f(1) = 3x : 3

f(2) = 3x : 6

f(3) = 3x : 9

Step-by-step explanation:

There are multiple ways of going about this, but what I find easiest for a problem like this is to find the GCF of all the terms.

The GCF of [tex]9x^2,-3x,6x,-45x^2[/tex] is [tex]3x[/tex].

Meaning that we can take out 3x out of all the terms and still be left with the simplest, yet equivalent for of the expression.

[tex]\frac{2x-1}{2-15x}[/tex]

Answer:

The first picture without the diagram is true, and the other one is false.

Step-by-step explanation:

A relation can be a function if the domain has exactly one range. IT CANT HAVE TWO Y-VALUES.

Answer:

51/40

Step-by-step explanation:

2/5+7/8

(2*8/5*8)+(7*5/5*8)

16/40+35/40

=>51/40

Answer:

because the way she asked it and the way she put in in form

Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

It is given that Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4 + 8 = 12 and 1 + 8 = 9. Calculate the ratio now.

The above statement is wrong the ratio will be calculated as:-

12 / 9 = ( 3 x 4 ) / ( 3 x 3 )

Take 3 commons from the numerator and the denominator of the ratio.

         = 4 / 3

Therefore, Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

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Answer:

x=33

Step-by-step explanation:

First you haft to find what x is to find the answer

x - 4 = 29

First add 4 to -4 so the cancel out and then you add 4 to 29.

x - 4 = 29

  +4    +4

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

x     =   33

After a translation (x+3, y-2)  the coordinates of D' be  (4, 0).

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).

Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).

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Answer:

20ft.

Step-by-step explanation:

Sine = Opposite / Hypothenuse

Opposite = Height = 10ft

Hypothenuse = Length of ladder

Therefore, sin30° = 10ft / Length = 1/2

Length = 20ft