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2 years ago

7

Suppose that a duck swam 22.5 kilometers in 5 hours at a constant speed how far did the duck travel

2 answers:

SVEN [57.7K]2 years ago

6 0

22.5 km divided by 5 hours equals a constant speed of 4.5 km per hour.

jekas [21]2 years ago

3 0

Answer:

<u>4.5 = x</u>

Step-by-step explanation:

Given:

22.5 = 5x

(we need to find out what x is)

22.5 / 5 = 4.5

meaning that the duck traveled at 4.5 kilometers per hour.

Check<u>:</u>
4.5 x 5 = 22.5

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HELPPP!!!!<br><br> What is one solution?<br> Eliminate any extraneous solutions.

olga nikolaevna [1]

Answer:

The correct answer is x= 4/5 because you cannot take the root of a negative number

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3 years ago

Find (if possible) the complement and the supplement of each angle. (if not possible, enter impossible.) (a) π 10 complement rad

blagie [28]

In this question, we have to find the complement and supplement of the given angles .

Complementary angles are those angles whose sum is 90 degree and supplementary angles are those angles whose sum is 180 degree.

So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .

a.

$\frac{ \pi}{10}
\\
complement \ angle = \frac{ \pi}{2} - \frac{ \pi}{10} \\ = \frac{4 \pi}{10} = \frac{ 2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{ \pi}{10} = \frac{9 \pi}{10}$

b.

$\frac{9 \pi}{10}
\\
Complement \ angle = \frac{ \pi}{2} - \frac{9 \pi}{10} = \frac{-4 \pi}{10} = -\frac{2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{9 \pi}{10} = \frac{ \pi}{10}$

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3 years ago

Bill and his friends went to red robin. Their order consisted of 2 hamburgers to $5.49 each, a chicken sandwich for $6.25, an or

Dvinal [7]

Answer:

47.27

Step-by-step explanation:

5.49+5.49+6.25+12.99+1.75+1.75+1.75+1.75=37.22

37.22×.20 for tip=7.44

37.22×.07 for tax=2.61

37.22+7.44+2.61=47.27

6 0

3 years ago

Read 2 more answers

Tanya has 442 pennies. If she gives away 128 of the pennies equally to 4 friends, about how many pennies will Tanya give each

butalik [34]

Answer:

32 pennies to each friend and 314 pennies remaining

Step-by-step explanation:

For the first step, we need to divide 128 by 4 to get the amount of pennies she gave to each friend: 128/4 = 32

For the second step, we need to subtract 128 from 442 to find out how many pennies she has left: 442-128 = 314

Hope this helps!

7 0

2 years ago

Read 2 more answers

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

<h3>Note that:</h3>

r: radius
h: height

<h3>To find:</h3>

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

8 0

2 years ago