Question

Answer the following question: Melissa was collecting

emmasim [6.3K]

Answer:

1,280

Step-by-step explanation:

5 0

2 years ago

Lines a and b are parallel.<br><br><br><br> What is the measure of angle m?

Arisa [49]

Answer: 55 degrees

Step-by-step explanation:

180-125=55

125 and m make a half a turn which equals 180

4 0

3 years ago

What is the total cost on a $225,000 mortgage at 3% interest for 15 years?

luda_lava [24]

After 15 Years it Will be $350,542

4 0

2 years ago

the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one

RoseWind [281]

The total area is 1289.41 units².

The total perimeter is 281.32 units.

<h3>What is the total area and perimeter?</h3>

The first step is to determine the side lengths of the other squares:

Length of the second square = 2/3 x 27 = 18
Length of the third square = 2/3 x18 = 12
Length of the fourth square = 2/3 x 12 = 8
Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

Area of the first square = 27² = 729
Area of the second square = 18² = 324
Area of the first square = 12² = 144
Area of the first square = 8² = 64
Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

Perimeter of the first square = 4 x 27 = 108 units
Perimeter of the second square = 4 x 18 = 72
Perimeter of the third square = 4 x 12 = 48
Perimeter of the fourth square = 4 x 8 = 32
Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

#SPJ1

4 0

2 years ago

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$