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2 years ago

Answer each question using ratios.

Mathematics

1 answer:

Gnom [1K]2 years ago

5 0

Answer:

B) 42:28

Step-by-step explanation:

First, let's get 12:18 simplified to make it easier to compare:

12:18 -> 4:6 - > <u>2:3</u>

Now let's check it against all the options:

A) 20:30 -> 2:3 and 2:3 = 2:3

Not our answer as it is congruent (equal too, the same as, etc)

B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!

42:28

(it simplifes to 6:4 -> 3:2)

(we do not have to do the following as we already have an answer, but here is the math)

C) 4:6

4:6 ->

2:3 = 2:3

D) 2:3

2:3 = 2:3

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A school has an equal amount of boys and girls. You use a coin to simulate the first three students to arrive at school each day

Nimfa-mama [501]

Answer:3/20

Step-by-step explanation:

Heads=Boy

Tails=Girl

If the first 3 students are boys, all 3 coins must be heads.

Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.

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3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

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3 years ago

Divide.

nika2105 [10]

-0.8 that is the answer hope it helps

3 0

3 years ago

Select the coordinate point that is a solution of equations. 2x+y=7; 3x-4y=5

grandymaker [24]

Answer:

D (3,1)

Step-by-step explanation:

solving simultaneous equations

Arrange equations

2x+y=7

3x-4y=5

make y side cancell by addition by multiplying by 4 and 1 as shown

4{2x+y=7}

1{3x-4y=5}

8x+4y=28

3x-4y=5

11x=33

x=33/11=3

substitute for x=3 in 3x-4y=5

9-4y=5

4=4y

y=1

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4 years ago

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What is the surface area of the regular pyramid given below?

zheka24 [161]

I say C is the answer

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4 years ago