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andriy [413]
3 years ago
13

Find the area of each figure. Round to the nearest tenth if necessary.

Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

Solution given:

1.

diameter(d)=6mm

base(b)=8mm

height (h)=5mm

Area of figure=area of parallelogram +area of semi circle

  • base*height+½π(d/2)²
  • 8*5+½*π×(6/2)²
  • 40+14.14
  • 54.4mm²
  • <u>Area</u><u> </u><u>:</u><u>5</u><u>4</u><u>.</u><u>1</u><u>4</u><u>m</u><u>m</u><u>²</u>

2.

for triangle

base[b]=6ft

height(h)=9ft

for square

length[l]=9ft

Area of figure=area of square +area of triangle

  • =l²+½*b*h
  • =9²+½*6*9
  • =81+27
  • =108ft²
  • <u>Area</u><u>:</u><u> </u><u>1</u><u>0</u><u>8</u><u>f</u><u>t</u><u>²</u>
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Answer:

-52

Step-by-step explanation:

-18+6=-12

-12-40=-52

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3 years ago
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Find the measure of the indicated angle below
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Answer:

The measure of x is 70\°

Step-by-step explanation:

we know that

The formula to calculate the sum of the internal angles of a polygon is equal to

S=(n-2)*180\°

where

n is the number of sides

In this problem we have

n=9\ sides

substitute

S=(9-2)*180\°=1,260\°

Find the measure of each internal angle

Divide the sum of the internal angles by the number of sides

1,260\°/9=140\°

The value of x is half the measure of internal angle

so

x=140\°/2=70\°

8 0
3 years ago
4. What's the least common multiple of each group of numbers?
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Answer:

D. 2,5, and 6

Step-by-step explanation:

Because if u mutiply 2*5 = 10 and 2*6 is 12 as 5*6 is 30 and 2*9 is 18 .

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Decide whether each table could represent a proportional relationship. If the
Ymorist [56]

Answer:

Step-by-step explanation:

If given tables in the picture show the proportional relationship,

Number of wheels (w) ∝ Number of buses (b)

w ∝ b

w = kb

Here, k = proportionality constant

k = \frac{w}{b}

Number of buses (b)           Number wheels (w)             Wheels per bus (\frac{w}{b})

          5                                           30                               \frac{30}{5}=6              

          8                                           48                               \frac{48}{8}=6

         10                                           60                               \frac{60}{10}=6

         15                                           90                               \frac{90}{15}=6

Here, proportionality constant is 6.

Similarly, If number of wheels (w) ∝ Number of train cars (t)

w = kt

Here, k = proportionality constant

k = \frac{w}{t}

Number of train cars(t)          Number of wheels(w)     Wheels per train car (\frac{w}{t})

              20                                        184                           \frac{184}{20}=9.2

              30                                        264                           \frac{264}{30}=8.8

              40                                        344                           \frac{344}{40}=8.6

              50                                        424                           \frac{424}{50}=8.48

Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.

5 0
3 years ago
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