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3 years ago

Please find the area of the trapezoids. By the way, the answer is NOT 10.5.

Mathematics

1 answer:

In-s [12.5K]3 years ago

4 0

Answer:

42 square units

Step-by-step explanation:

Hello There!

The area of a trapezoid can be found using this formula

$a = \frac{a + b}{2} h$

where a and b are bases and h is height

if you look at the graph we can see that the lines are counting by 2 units

knowing this we want to find the dimensions

the shown trapezoid has the following dimensions

a =2*2 or 4

b=5*2 or 10

h=3*2 or 6

having found this information we then plug it into the formula

$a = \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\ \frac{14}{2} = 7 \\ 7 \times 6 = 42$

so we can conclude that the area of the trapezoid is 42 square units

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Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the b

lara [203]

Answer:

2141.76 cubic inches

Step-by-step explanation:

Given that it measures 8.8 inches across a properly inflated basketball i.e. the diameter of each basketball is 8.8 inches.

So, the radius of the spherical ball is $\frac{8.8}{2} =4.4$ inches.

Now, a spherical solid has a volume given by $\frac{4}{3} \pi r^{3}$ .

Hence, volume of air in side each basketball is = $\frac{4}{3} \times \frac{22}{7}\times 4.4^{3} = 356.96$ cubic inches.

Therefore, the total volume of air inside six balls will be = 6 × 356.96 = 2141.76 cubic inches. (Answer)

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3 years ago

The science club is raising money for a trip to the museum. Tickets to the museum cost $8. Five students already have a membersh

AnnZ [28]

The answer is 42 students were in the club

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3 years ago

Please solve this by solving systems by elimination 6x+3y=-18 7x+7y=0

gavmur [86]

Answer:

Step-by-step explanation:

6x + 3y = -18

Taking 3 common from left side

so, 3(2x+y) = -18

2x+y = -18/3

2x+y = -6 (equation 1)

and, 7x + 7y = 0

Taking 7 as commom from left side

7(x + y) = 0

x + y = 0/7

x + y = 0 (equation 2)

now , by using elimination method

subtracting equation2 from equation1

2x + y - (x + y)= -6 - 0

2x + y - x - y = -6

x = -6

so, x = -6

substituting value of x in equation 1

2(-6) + y = -6

-12 + y = -6

y = -6 +12

y = 6

hence, the value of x = -6

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7 0

3 years ago

g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin

QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that $A = 121$

91 shopped at the drug store:

This means that $B = 91$

33 shopped at both businesses.

This means that $A \cap B = 33$

a) How many people shopped at the grocery store or the drug store?

This is

$A \cup B = A + B - (A \cap B)$

With the values given in the exercise.

$A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179$

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

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8 0

2 years ago

Find the area and perimeter. The area is ... and the perimeter is ...

Schach [20]

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

$a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c$

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

7 0

3 years ago