Evaluate each series.
Help pls 50 points

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

Answer: the shape is a rectangle

Step-by-step explanation:

Answer:

Rectangle :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

84,000 cm³

Step-by-step explanation:

This is a prism with a trapezoidal base.

V = BH

where V = volume of prism, B = area of the base, H = height of the prism

For the trapezoid, the area is

A = ½(b1 + b2)h,

where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.

V = ½(b1 + b2)hH

V = ½(60 cm + 45 cm) (20 cm)(80 cm)

V = 84,000 cm³

Answer:

73

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).

Answer:

1) 47 degrees

2) 28 degrees

3) 26 degrees

Step-by-step explanation:

a triangle always equals 180 degrees, you add together the numbers you have then subtract it from 180 then you'll get your answer <3

Answer:

the volume is 120

Step-by-step explanation:

the formula for volume with length times width times height. Just multiply 3 x 5 x 8

Answer:

110 degrees

Step-by-step explanation:

the answer is 110 degrees

add up everything and subtract it by 360 to get 110.

plz dont report. Can I have brainliest. I need it.

Answer:

we will add all the sides

40+128+×+82=360

250+×=360

×=360-250

x=110

guessing

360 - 310 = 50

-tan(50)

Answer:  25% decrease

Step-by-step explanation:

80 - 60

-----------  =  20/80 = 1/4 OR 25%

   80

Hope this helped :)

Answer:

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Step-by-step explanation:

Answer:

x=35

y=100

Step-by-step explanation:

x+15=50

x= 50-15

x= 35

y+30+50=180

y+80=180

y=180-80

y= 100

9514 1404 393

Answer:

  4) ΔEFG ~ ΔECD

  6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

  EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

  EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

  ΔEFT ~ ΔECD

__

6) Shortest to longest, the given sides have ratios ...

  UT : TV = 71 : 84 (reduced)

  GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

[tex]y = 9x + 5[/tex]

Exchanging x and y:

[tex]x = 9y + 5[/tex]

Isolating y:

[tex]9y = x - 5[/tex]

[tex]y = \frac{x - 5}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Answer:

50

Step-by-step explanation:

50+40=90 and that's what you need

Answer:

50

Step-by-step explanation:

it's a right triangle so it has to equal 90 and since there is a 40 you will need 50 to equal 90

Answer:

true

Step-by-step explanation:

there are two x-intercepts

9514 1404 393

Answer:

  ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

  MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

  MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

9514 1404 393

Answer:

  A

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

  x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

Additional comment

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

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Answer:

A=-4, b=1

Step-by-step explanation:

add those two function together u will got:

a+b+(a-b)=-3+(-5)

2a=-8

A=-4

-4+b=-3

B=1

Answer:

8.6 years

Step-by-step explanation:

A commission is a percentage of total sales,

multiply the rate of commission by the total sales

Answer:

if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

  100² = 28² + w²

  w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

Additional comment

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.

Answer:

mike because he saw more markers in a less time than dev did

Answer:

21

Step-by-step explanation:

2^3=8

7x6=42

42x8=336

336/ (10.6+5.4)

336/ 16= 21

Answer 21

Answer:

11

Step-by-step explanation:

Basically count each doubt that is on the number line with a value greater than 450

Answer:

11 trouts

Step-by-step explanation:

Count the dots that are after the 450-gram mark.

Trouts that weigh 452 = 5

Trouts that weigh 454 = 2

Trouts that weigh 456 = 2

Trouts that weigh 458 = 1

Trouts that weigh 460 = 1

Then, add everything up.

5 + 2 + 2 + 1 + 1 = 11

So, 11 trouts weigh more than 450 grams.

Have a wonderful day!