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likoan [24]
3 years ago
11

Find the area of the figure.

Mathematics
2 answers:
Tresset [83]3 years ago
8 0

Answer:

70 in^2

Step-by-step explanation:

You can split this shape into a rectangle and a triangle to find the area.

First we need to find the height and base of the triangle and we can find the base by subtract 12 and.

So 12 - 8 = 4

So the base is 4 inches.

Now you need to find the height which is easy since it is the same height of the rectangle which is 7 inches.

The formula for finding the area of a triangle is half of base* height

So 4*7 is 28 and half of 28 is 14.

Now we need to find the area of the rectangle and you already have the base and the height so you just need to multiply them together.

So 7*8 equals 56.

Now you need to add 56 and 12 together to get the area of the entire shape.

So the area is 70 inches^2

earnstyle [38]3 years ago
6 0

Answer:

C. 70 in^2

Step-by-step explanation:

What you do is use the formula for finding the area of a trapezoid.

A=a+b/2(h).

a=8

b=12

h=7

A=8+12/2(7)=70 in^2 is your answer.

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By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
sergiy2304 [10]

Answer:

<h3>B. -84</h3>

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

4 0
3 years ago
A storekeeper increased the price of hats by 8% A hat was originally priced at $12.00. What is the new cost of the hat?
german

Answer:

$12.96

Step-by-step explanation:

determine what the decimal form of 8% is

⇒ 8% = 0.08

multiply $12 by 0.08

⇒ $12 x 0.08

⇒ $0.96

add $0.96 to $12

⇒ $12 + $0.96

⇒ $12.96

new price

⇒ $12.96

6 0
3 years ago
A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Reptile [31]

Step-by-step explanation:

1 week = 7 days of 24 hours each = 7×24 = 168 hours.

the first team can do 1/700 of the total work per hour.

the second team can do 1/600 if the total work per hour.

if they work together, then 1/700 + 1/600 of the total work can be done per hour.

to add these 2 fractions we need to bring them to the same denominator. and that would be 4200 (LCM of 700 and 600).

1/700 + 1/600 = 6/4200 + 7/4200 = 13/4200

so, together, they can do 13/4200 if the total job in 1 hour.

how many hours will they need together to finish the job ?

well, how often does 13 fit into 4200 (as 4200/4200 is the complete job) ?

4200 / 13 = 323.0769231... hours

so, it will still take a little bit over 323 hours to clean all the streets.

but there are only 168 hours until the film crew starts.

so, no, there is not enough time.

4 0
2 years ago
F(x)=-2x^2-2x+10 f(x)=−2x 2 −2x+10 \text{Find }f(2) Find f(2)
romanna [79]

Given that:

f(x) = -2x²-2x+10

f(2) = -2(2)²-2(2)+10

= -2(2*2) - 4 + 10

= -2(4) - 4 + 10

= -8 - 4 + 10

= -12 + 10

= -2 Ans.

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