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vichka [17]
3 years ago
5

A circular running track is 1/4 of a mile long Elena runs this track completing each lap in 1/20 of an hour what is her speed

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

The speed is equal to 5\frac{mi}{h}

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x------> the distance in miles

y-----> the time in hours

s----> the speed in mph

so

s=\frac{x}{y}

In this problem we have

x=(1/4)\ mi

y=(1/20)\ h

substitute

s=\frac{(1/4)}{(1/20)}=20/4=5\frac{mi}{h}

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Please help with this math question (:
stira [4]
Because there are more than 2 lengths for the sides and because the small triangle faces are right angles we will use this formula:

V=(1/2)bhl
which is equivalent to V=Al  (A=(1/2)bh and A is Area)

b=12in
h=35in
l=40in

A=(1/2)•12in•35in
A=(1/2)•420in
A=210in^2

V=Al
V=(210in^2)•40in
V=8400in^3

Making your answer D. 8400 inches cubed

7 0
2 years ago
Please help!! im on a timer!
frutty [35]

Answer:

The correct option is A

A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10

Step-by-step explanation:

We have been given a system of equation:

y = -13x + 17

y = 5x - 23

We have to determine the best window range from the following options:

A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10

B) -20 ≤ x ≤ 0 , -20 ≤ y ≤ 0

C)  0 ≤ x ≤ 20, 0 ≤ y ≤ 20

D) 20 ≤ x ≤ 40 , 20 ≤ y ≤ 40

The graph of both the equation is attached below, we can see that the graph shows the solution at the point (2.222, -11.869), where x is positive and y is negative

Now consider the options

Option A includes the solution

Option B doesn't show positive values for x

Option C doesn't show negative values for y

Option D doesn't include the x or y part of the solution

5 0
3 years ago
How do you solve sarah is twice as old as her youngest brother. if the difference between their ages is 15 years. how old is her
marishachu [46]
The youngest brother is 15 years old
3 0
3 years ago
Three cubes of the same metal, whose edges are 6, 8, 10 cm are meltedand formed into a single cube. Find the diagonal of the sin
allochka39001 [22]

Answer: 12√2 cm

<u>Step-by-step explanation:</u>

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: <u>V = 10³ = 1000</u>

New Cube: V = 1728

1728 = s³

12 = s

So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

√288 = diagonal

12√2 = diagonal


3 0
3 years ago
Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis
ruslelena [56]

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: H_0:p=0.45 \\ H_a:p>0.45

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α  ∵0.025< 0.05

[if p-value< α , we reject H_0]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

3 0
3 years ago
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