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2 years ago

Find the value of x in the triangle.

Mathematics

1 answer:

iren2701 [21]2 years ago

4 0

Answer:

Step-by-step explanation:

x + x + 90 = 180

2x + 90 = 180

2x = 90

x = 45

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Tyler and Elena are on the cross country team.

romanna [79]

Answer:

Tyler ran <em>0.06 miles farther </em>than Elena

Step-by-step explanation:

From the graph we can find the distance ran by Tyler in 10 minutes is approximately 1.24 miles

Given the equation for Elena's distances and times is

y=8.5x, where x is the distance in miles and y is the time in minutes, we can know the value of x when y = 10 minutes

$x=\frac{y}{8.5} =\frac{10}{8.5}=1.18$ miles

With this numbers at hand, we can infer Tyler ran 1.24 - 1.18 = 0.06 miles farther than Elena

5 0

4 years ago

Alan can run 3 miles in 24 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 96 minutes

Nimfa-mama [501]

if you do 24 x 4 you get 96 so that mean multiply 3 x 4 too and you get 12 so the answer is he can run 12 miles in 96 minutes

7 0

3 years ago

Read 2 more answers

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

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

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

3 years ago

Ariel swims 2 1/6 miles in every 1/3 hour. Enter the number of miles Ariel swims in 1 minute.

weqwewe [10]

In order to find the distance covered in 1 minute, we need to divide distance covered 2 1/6 miles by 20 minutes.We are given : Ariel swims 2 1/6 miles in every 1/3 hour.

Let us convert 1/3 hour into minutes.

There are 60 minutes in an hour.

Therefore, 1/3 hours = 60 × 1/3 = 20 minutes.

So, we could say, "Ariel swims 2 1/6 miles in every 20 minutes".

2 1/6÷ 20 = 13/6 ÷ 20.

Let us convert division sign into multiplication and flip 20 to 1/20.

We get

<h3>13/6 × 1/20 = 13/120 miles in 1 minute.</h3><h3>In decimal 0.11 mile in 1 minute.</h3>

4 0

3 years ago

K=3gy/5f solve for g

AlexFokin [52]

The equation can be stated as: 3gy/5f=K
Get rid of the division by multiplying both sides by 5f: 3gy=5fK
Then get g alone by dividing by 3y: <u>g=5fK/3y</u>.

7 0

4 years ago