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4 years ago

Use a calculator to find the missing side length. Tell whether the side lengths form a Pythagorean Triple.

1 answer:

5 0

Pythagorean theorem: a^2 + b^2 = c^2
The hypotenuse is always the c in the equation.
If the two side lengths they gave you are not the hypotenuse, then enter
4.5^2 + 5.6^2 in the calculator, then find the square root of that. :-)

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A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a

miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, $\frac{dr}{dt}=5\ cm/min$

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

Volume of balloon is given as:

$V=\frac{4}{3}\pi r^3$

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

$\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})$

Now, plug in 19 cm for 'r', 5 cm per minute for $\frac{dr}{dt}$ and solve for $\frac{dV}{dt}$ . This gives,

$\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min$

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

4 0

4 years ago

A newborn baby weighs 3.136 times 10 Superscript 3 units. Which unit of measure was used?

Taya2010 [7]

Answer:

grams

Step-by-step explanation:

3.136 x 10³ = 3,136

3136 grams is approximately 7 pounds

there are about 28.3 grams in 1 ounce which means

28.3(16) or 452.8 grams per pound

3136 / 453 ≈ 7

4 0

3 years ago

PLZ ITS SUPER EASY 7TH GRADE MATHHHHHHHHHH

Nadya [2.5K]

Answer:

x=20

Step-by-step explanation:

4x+10=90

4x=80

x=20

mark brainliest please

7 0

3 years ago

Read 2 more answers

Cora has some ice cream that she is serving for her friend , if Cora gives1/6 of a quart of ice cream to earth of her 8 friends,

zalisa [80]

Answer:

$\frac{4}{3} quarts$ of ice cream

Step-by-step explanation:

Given

Number of friends = 8

Size of ice cream = 1/6 quarts

Required

Total ice cream served

Let n represent the number of friends, s represent the size of ice cream and t represents total ice cream served;

t is calculated as thus;

$t = n * s$

$t = 8 * \frac{1}{6} quarts$

$t = \frac{8}{6} quarts$

Divide numerator and denominator by 2

$t = \frac{4}{3} quarts$

Hence, she serves $\frac{4}{3} quarts$ in total

8 0

4 years ago

Find the value of 42 + 6 ÷ 2.<br><br> 7<br> 11<br> 19

DENIUS [597]

PEMDAS

Parenthesis
Exponents
Multiply
Divide
Add
Subtract

First divide, then add

6 ÷ 2 = 3

42 + 3 = 45

It's not 7, 11, or 19. and I'm 100 % positive the answer is 45

6 0

4 years ago

Read 2 more answers