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3 years ago

Which of the following whole numbers has a square root between 5 and 6? 37, 44, 56, or 27

Mathematics

1 answer:

pogonyaev3 years ago

8 0

Answer:

I'm not sure how to explain it

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Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandt

Pachacha [2.7K]

Answer:

a = 9.849

b = 20.25

c = 491.03

Step-by-step explanation:

By using Pythagoras theorem in the right triangle BDC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

BC² = BD² + DC²

a² = 9² + 4²

a = $\sqrt{(81+16)}$

a = $\sqrt{97}$

a = 9.8489

a ≈ 9.849 units

By mean proportional theorem,

$\frac{\text{DC}}{\text{BD}}=\frac{\text{BD}}{\text{AD}}$

AD × DC = BD²

b × 4 = 9²

b = $\frac{81}{4}$

b = 20.25 units

BY Pythagoras theorem in ΔADB,

AB² = AD² + BD²

c² = b² + 9²

c² = (20.25)² + 9²

c² = 410.0625 + 81

c = 491.0625

c = 491. 063 units

6 0

3 years ago

In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of chang

Mekhanik [1.2K]

Answer:

60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

0.60*100=60 percent

4 0

3 years ago

If x and x+30 are the pair of co - interior angle

UkoKoshka [18]

answer in screenshot

4 0

3 years ago

What is 4/5 of 45 equle

Goryan [66]

$\frac{4}{5} \ of \ 45= \frac{4}{5} \times 45=4 \times \frac{45}{5}=4 \times 9=36$

4/5 of 45 equals 36.

5 0

3 years ago

Read 2 more answers

A cylinder has a height h, and a radius (3h-2)

tekilochka [14]

Answer:

$V= 4\pi (9h^2 -12h + 4)$

Step-by-step explanation:

Given

Shape: Cylinder

$Radius = 3h - 2$

$Height = h$

$Base\ Area = \pi (3h - 2)^2$

Required

Simplify the volume

The volume is calculated as:

$Volume = Base\ Area * Height$

Substitute values for Base Area and Height

$V= \pi(3h-2)^2*h$

Expand the bracket

$V= \pi(3h-2)(3h-2)*h$

Open brackets

$V= \pi (9h^2 -6h - 6h + 4) *h$

$V= \pi (9h^2 -12h + 4) *h$

$V= 4\pi (9h^2 -12h + 4)$

6 0

2 years ago