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2 years ago

Determine the missing side measures

Mathematics

2 answers:

Amiraneli [1.4K]2 years ago

8 0

I'm naming the left shape shape A and the right one shape B to make things easier to understand:

If these are the same shapes we can assume that Shape A was reduced by a factor of 2.5 to form Shape B (10/4=2.5).

With this number we can solve for x by multiplying 5 by 2.5 since we are enlarging Shape B to create Shape A. 5*2.5 is 12.5 so x=12.5.

For the two other missing sides I did the same step except dividing instead because we are going from big to small.

Top side: 8/2.5= 3.2

Right side: 10/2.5= 4

Elena L [17]2 years ago

6 0

The answer is 25 which is by multiplying 4/10 and 5/x and the devide by 4

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Solve for the indicated variable.<br> 2a + 2b = c for b

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Answer:

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2 years ago

It takes 12 hours for 7 men to paint a room.

dangina [55]

28 men are needed to paint the room in 3 hours

<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

$a \times \frac{1}{84} \times 3 = 1$

corresponds to rate x hours = jobs and "a" is a variable for how many men

$a \times \frac{1}{28} = 28$

Thus 28 men are needed to paint the room in 3 hours

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2 years ago

Find the parallelogram below. Use the formula: A = b x h.

aliina [53]

Answer:A = b x h

Step-by-step explanation:

I can't see the problem but i can give help u have to follow the formuls

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2 years ago

HELP!!

leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

symmetry is parallel to the x-axis, it has an equation of

(y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵ (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out

the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

(x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

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3 years ago

A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing one-fourth. 2 on

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Answer:

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Step-by-step explanation:

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3 years ago

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