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2 years ago

What is the area of the figure?

Mathematics

1 answer:

statuscvo [17]2 years ago

5 0

Answer:

Step-by-step explanation:

We can divide this into 3 shapes, a square, rectangle, and triangle.

Let's solve the area of each of these shapes and add them all up.

First, let's solve the square.

We know that one side is 4 ft so that means that the other side is also 4ft.

4*4=16

Our area of the square is 16ft^2

Let's solve the rectangle next,

Its length is 12ft and its width is 4ft.

12*4=48

So the rectangle area is 48ft^2

Now for the triangle

Remember that area of a triangle is a=hb/2

Our height is 12 ft and our base is 4ft

12*4=48

48/2=24

Triangle is 24ft^2

That means that we can add them all up

24+48+16=88

88ft^2 or 88

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Triangle ABC is shown below.

Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

$AB=AC\\\\2x=3x-7$

Simplify the equation, solving for x. Add 7 to both sides:

$2x+7=3x-7+7\\\\2x+7=3x$

Subtract 2x from both sides:

$2x-2x+7=3x-2x\\\\7=x$

The value of x is 7. Insert the value of x into the given length of AC:

$AC=3(7)-7$

Simplify multiplication:

$AC=21-7$

Subtract:

$AC=14$

Therefore, the length of the line segment AC is 14.

:Done

8 0

3 years ago

Not sure how I would do this any buddy can help me

Alinara [238K]

I beilive the answer to that is niether.

hope this helped!

4 0

3 years ago

Read 2 more answers

* NOTICE THIS IS A 2 PART QUESTION

blondinia [14]

Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210

Step-by-step explanation:

Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.

Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be

300 + 0.7x

Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.

This means that the total cost of using plan B would be

40 + 0.9x

For both plans to be the same,

300 + 0.7x = 40 + 0.9x

0.9x - 0.7x = 300 - 40

0.2x = 260

x = $1300

The total yearly amount paid to the warehouse for each plan would be

40 + 0.9 × 1300 = $1210

6 0

3 years ago

Berry Delicious is a popular shop that sells chocolate-covered strawberries. Last year, the shop used 9,200 kilograms of strawbe

coldgirl [10]

Answer:

15.9%

Step-by-step explanation:

Percent decrease formula =

(Initial value - New value/Initial value) × 100

Initial value = 9200kg

New value = 7739.4kg

Percent decrease = (9200 - 7739.4/9200) × 100

Percent decrease = (1460.6/9200) × 100

Percent decrease = 15.8760869565%

Approximately = 15.9%

The percent of decrease in the amount of strawberries used annually is 15.9%

6 0

3 years ago

4 x plus 8 y equals 40, when y equals 0.8?

Over [174]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 8.4}}}}}$

Step-by-step explanation:

Given, y = 0.8

To find : value of x

$\sf{4x + 8y = 40}$

plug the value of y

$\longrightarrow{ \sf{4x + 8 \times 0.8 = 40}}$

Multiply the numbers: 8 and 0.8

$\longrightarrow{ \sf{4x + 6.4 = 40}}$

Move 6.4 to right hand side and change it's sign

$\longrightarrow{ \sf{4x = 40 - 6.4}}$

Subtract 6.4 from 40

$\longrightarrow{ \sf{4x = 33.6}}$

Divide both sides by 4

$\longrightarrow{ \sf{ \frac{4x}{4} = \frac{33.6}{4} }}$

Calculate

$\longrightarrow{ \sf{x = 8.4}}$

Hope I helped!

Best regards ! :D

5 0

3 years ago