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Amiraneli [1.4K]
3 years ago
13

Find the area of the shaded

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

area = 84 in²

Step-by-step explanation:

area = (9x12) - (6x8x0.5) = 84 in²

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Which addition expression
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The correct answer is B. If you drop the parenthesis and collect like terms you get 8-3i.
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A school has 18 left-handed students. If 8% of the total number of students in the school are left-handed, what is the total num
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The school has 225 students if 8% is left handed
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Write an equation for the line that is parallel to the given line and passes through the given point
Evgesh-ka [11]

Answer:

y = 2x + 2

Step-by-step explanation:

The equation ofa line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 4 ← is in slope- intercept form

with m = 2

Parallel lines have equal slopes , thus

y = 2x + c ← is the partial equation

To find c substitute (3, 8) into the partial equation

8 = 6 + c ⇒ c = 8 - 6 = 2

y = 2x + 2 ← equation of parallel line

4 0
3 years ago
The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
4 years ago
Please help asap!!! Will give brainlist :)
Scilla [17]

Answer:

744 cubic inches

Step-by-step explanation:

Volume of Styrofoam= volume of big box -volume of glass box

=(10*10*15)-(9*7*12)

=1500-756

=744 cubic inches

3 0
3 years ago
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