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2 years ago

Hlo preparation for exam help with this question?? °_*!

Mathematics

1 answer:

Llana [10]2 years ago

5 0

Hope you could get an idea from here.

Doubt clarification - use comment section.

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You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours pe

PSYCHO15rus [73]

You would work 8 hours at the grocery for $80 and teach 3 music lessons for $45. you would have $125 in 11 hours of work.

6 0

3 years ago

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PLEASE HELP!!! Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check al

hichkok12 [17]

Answer:

Option A , B and D are true.

The statement which are true:

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, $\frac{1}{2}$

Step-by-step explanation:

Given in figure trapezoid ABCD;

The coordinates of ABCD are:

A= (-4, 0)

B = (-2, 4)

C = (2,4)

D = (4, 0)

Since, trapezoid ABCD was dilated to create trapezoid A'B'C'D' as shown in figure;

The coordinates of A'B'C'D' are;

A' =(-2, 0)

B'=(-1, 2)

C' = (1, 2)

D' = (2, 0)

First calculate the length of AD

Using Distance formula for any two points i.e,

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Since, A = (-4, 0) and D = (4, 0)

then;

Length of AD = $\sqrt{(4-(-4))^2+(0-0)^2} = \sqrt{(4+4)^2} =\sqrt{64}=8$ units

Therefore, the length of side AD is, 8 units.

Similarly find the length of A'D'.

Where A' = (-2, 0) and D' =(2,0)

Using distance formula:

Length of A'D' = $\sqrt{(2-(-2))^2+(0-0)^2} =\sqrt{(2+2)^2}= \sqrt{4^2} = 4$

Therefore, the length of side A'D' is, 4 units.

Now, find the slope of CD and C'D'

where C =(2, 4) , D = (4, 0) , C' = (1, 2) and D' =(2,0)

using slope formula for any two points is given by:

$Slope = \frac{y_2-y_1}{x_2-x_1}$

$Slope of CD = \frac{0-4}{4-2} = \frac{-4}{2} = -2$

Similarly,

$Slope of C'D' = \frac{0-2}{2-1} = \frac{-4}{2} = -2$

Since, Sides CD and C'D' have same slope i.e, -2

Scale factor(k) states that every coordinate of the original figure has been multiplied by the scale factor.

If k > 1, then the image is an enlargement.

if 0<k< 1, then the image is a reduction.

If k = 1, then the figure and the image are congruent.

The rule for dilation with scale factor(k) is;

$(x, y) \rightarrow (kx , ky)$

To find the scale factor:

A = (-4, 0) and A' = (-2, 0)

$(-2, 0) \rightarrow (-4k , 0)$

On comparing we ghet;

-4k = -2

Divide -4 both sides we get;

$k = \frac{1}{2}$

∴ The Scale factor is, $k = \frac{1}{2}$

Since, k < 1 which implies the image is a reduction.

Therefore, the statements which are true regarding about trapezoids are;

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, $\frac{1}{2}$

6 0

2 years ago

A deck contains these cards of the same size and shape.

alex41 [277]

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps

3 0

2 years ago

Do the expressions have only one term. write yes or no<br> 1. x<br> 2. p/4<br> 3. 23-w

MrRa [10]

They all only have 1 term.

8 0

3 years ago

A cave explorer is at an elevation of negative 38 feet. The explorer starts moving at a rate of negative 12 feet per minute. Ide

Ksivusya [100]

Answer:

-38 - 12x < 200

Step-by-step explanation:

Given,

The original elevation = -38 feet,

Also, the explorer starts moving at a rate of negative 12 feet per minute.

So, the distance covered by explorer after x minutes = -12x feet,

Thus, the final elevation = original elevation + distance covered by explorer

= -38 - 12x

According to the question,

final elevation < -200 feet

⇒ -38 - 12x < 200

Which is the required inequality.

8 0

2 years ago

Read 2 more answers