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2 years ago

Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft

Mathematics

1 answer:

sveta [45]2 years ago

5 0

<h3>Answer: 300 square feet</h3>

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

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The gradient of the line y= -2x -3

N76 [4]

Answer:

-2

Step-by-step explanation:

The equation of the line is written in y=mx+c form, where m is the gradient and c is the y-intercept.

In this case, your m is a -2 and your c is a -3.

Hence the gradient of the line is -2.

5 0

3 years ago

In Mr. Harold's class there are 12 students. They each have 5 pencils. Some of the students, s, each lost 2 pencils. Now, the st

Katena32 [7]

The answer would be C. (12 x 5) - (s x 2) = 38.

This is because if there are 12 students with 5 pencils per student, we can say 12 x 5. Then, think of the phrase, two pencils lost per student. That would be 2s, or (s x 2). Since it’s lost, we would subtract that amount from 12 x 5.

3 0

3 years ago

Tony flips a coin and gets heads. He tells his friend that he can get heads two more times in a row .what is the probability tha

Sergio [31]

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

When we have and in a probability question, that means we are to multiply the probabilities together.

Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8

7 0

3 years ago

Maureen measured a house and its lot and made a scale drawing. The scale she used was

PIT_PIT [208]

The most appropriate choice for unitary method will be given by-

Length of driveway in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to $\frac{1}{8}$ inch on scale

24 feet of room is equal to $\frac{1}{8} \times 24$ inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway in the drawing is 3 inch

To learn more about unitary method, refer to the link-

brainly.com/question/24587372

#SPJ9

3 0

1 year ago

Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY.

Alika [10]

Answer:

Option A True

Step-by-step explanation:

we know that

The sum of the internal angles of the triangle is equal to $180\°$

<u>In the triangle JKL</u>

m∠L= $180\°-90\°-27\°=63\°$

The measurements of the angles of triangle JKL are $27\°-90\°-63\°$

<u>In the triangle WXY</u>

m∠W= $180\°-90\°-63\°=27\°$

The measurements of the angles of triangle WXY are $27\°-90\°-63\°$

therefore

Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)

6 0

3 years ago

Read 2 more answers