In the formulae below, make x the subject:
1. a) P = 2mx​

Answer:

The building is 64.6 feet tall.

Step-by-step explanation:

To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;

Height of the building = x + 5

But,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]

x = 50 x Tan [tex]50^{o}[/tex]

  = 50 x 1.1918

  = 59.59

x = 59.59

Height of the building = x + 5

                     = 59.59 + 5

                     = 64.6 ft

The height of the building is 64.6 feet.

Answer:

$120

Step-by-step explanation:

Set the cost of the article pre-tax as x.

x + 0.15x = 138

1.15x = 138

x = 138/1.15

x = $120

Answer: the cost of the article without  taxes is $120.

The required cost of the article without  taxes is $120.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

We have been given the cost of an article including 15% for taxes is $138.00.

Lets Set the cost of the article pre-tax as x.

x + 0.15x = 138

1.15x = 138

x = 138/1.15

x = $120

Therefore, the cost of an article including 15% for taxes is $138.00. the cost of the article without  taxes is $120.

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Answer:

3/4

Step-by-step explanation:

3/4 2/3

find the lcm of the denominators

which is 12

and divide

9514 1404 393

Answer:

  35gh

Step-by-step explanation:

The standard form has one coefficient, and generally has the variables in lexicographical order.

  35gh

9514 1404 393

Answer:

  (b)  8 ohms

Step-by-step explanation:

We are told that y varies inversely to x, so the relation can be modeled by ...

  y = k/x

The value of k is ...

  k = xy = (12)(10) = 120

Then for x=15, the resistance is ...

  y = 120/15 = 8 . . . . ohms

Answer:

(b)  8 ohms

Step-by-step explanation:

We are told that y varies inversely to x, so the relation can be modeled by ...

 y = k/x

The value of k is ...

 k = xy = (12)(10) = 120

Then for x=15, the resistance is ...

 y = 120/15 = 8 . . . . ohms

The given triangle is a right triangle and a scalene triangle.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.

In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.

Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.

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Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

Answer:

ok whats the question tho is it the total length of the fence if it is its 40 pretty sure

Step-by-step explanation:

3/8 of the fence lets say x, equals 15 feet

divide 15 by 3/8 to find x which is 40

Answer:

I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!

Answer:

The answer is 7 square in

Step-by-step explanation:

Do this formula

V=Bh

105=15h

h=7 square in

Answer:

Mean of sample means = 22.12

Step-by-step explanation:

Data points     1     2     3     4     5        Sample mean

Sample 1         21    10   19    35   23         21.6

Sample 2        34   44   29   15   30         30.4

Sample 3        38   22   29   31   15          27

Sample 4         47   39    20  16   36         31.6

[tex]Mean of means = \frac{Sum of sample means}{No. of samples}[/tex]

                         [tex]=\frac{21.6 + 30.4 + 27 + 31.6 }{5} \\= 22.12[/tex]

Answer:

22.12

Step-by-step explanation:

Hope this helps

Answer:

2

Step-by-step explanation:

when i have one fruit and you have another fruit and we add them together they are gonna b two

Answer:

B.

Step-by-step explanation:

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

Answer:

f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2

keep it under whole root  

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

i'm gonna break it down into two parts.

Half-circle

[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]

Square

[tex]A=bh\\A=16*16\\A=256[/tex]

now to get it all we add them

[tex]A=100.48+256\\A=365.48[/tex]

Answer:

35

Step-by-step explanation:

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Answer:

Each playground will be 100 m2. Both playgrounds are 200 m2.

Area of square is defined by a × a.

a = length of side. In this case a is 10 m

So, Area = 10 m × 10m

Area = 100 m2 (square meters). This is the area of one playground.

Two playgrounds will be the double, 200 m2

Step-by-step explanation:

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Answer:

x=1,y=4

Step-by-step explanation:

x=1,y=4

Answer:

6 choices

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

They don't explain how to find the total distance Candice ran.

Answer:

C

Step-by-step explanation:

Answer:

Area of shaded region = 70.88 unit

Step-by-step explanation:

Given:

Height of shaded region = 12 units

Width of shaded region = 8 units

Find:

Area of shaded region

Computation:

Radius of semi circle = Width of shaded region / 2

Radius of semi circle = 8 / 2

Radius of semi circle = 4 unit

Area of shaded region = Area of rectangle - Area of Semi circle

Area of shaded region = [l x b] - [πr² / 2]

Area of shaded region = [12 x 8] - [(3.14)(4)² / 2]

Area of shaded region = 96 - [(3.14)(16) / 2]

Area of shaded region = 96 - 25.12

Area of shaded region = 70.88 unit

The constant proportion of the following data is 5.

5.82% = 0.0582 in decimal form.

The value of the equation is A = 0.0582

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 5.82 %   be equation (1)

On simplifying the equation , we get

A = ( 5.82 ) / 100

On further simplification , we get

A = 0.0582

Therefore , the value of A is 0.0582

Hence , the equation is A = 0.0582

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Answer:

Step-by-step explanation:

Total number of rolls = 50

Number of times rolling a 6 = 8 times

Number of times not rolling a 6 = 50 -8 = 42

P(~6) = 42/50 = 0.84

Answer:

13,67,29,17,19,23

Step-by-step explanation:

Answer:

1+2=3

2+3=5

4+3=7

9+2=11

9+4=13

3-1=2

Answer:

a?

Step-by-step explanation: