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quester [9]
3 years ago
8

Please help me! I only have a short amount of time!

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

Radius: 4.2cm

Diameter: 8.4cm

Step-by-step explanation:

Radius is half of the diameter.

In order to find the diameter, you would have to multiply the radius by 2.

In order to find the radius, you would have to divide the diameter by 2.

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

C=5

Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

7 0
3 years ago
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if
stealth61 [152]

Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

Volume of the tent = 36 feet^3

To find the height of the tent.

Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

V=\frac{1}{2}\times l\times w\times h

where l represents length, w represents width and h represents height of the prism.

Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

36=\frac{1}{2}\times 6\times 4\times h

Simplifying.

36=12h

Dividing both sides by 12.

\frac{36}{12}=\frac{12h}{12}

3=h

∴ h=3

Thus, the height of the tent = 3 feet

5 0
4 years ago
Read 2 more answers
A 25 foot ladder rests against a buliding . The base lf the ladder is 15 feet away from the base of the building. At what height
professor190 [17]
X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20
3 0
3 years ago
Eight less than one-fourth of a number is 4
enyata [817]

1/4n-8=1/4 would be first because it says less than so you switch it. then you put the 8 since it's in the same subtraction problem. Then the word "is" indicates the equal sign. and the n represents "a number" since it is unknown.

6 0
3 years ago
Suppose a and b are independent events. If l(a) =0.8 and p(b) =0.85 what is p(a and b)
nika2105 [10]

Answer: 0.68

Step-by-step explanation:

just took test and got it right

4 0
3 years ago
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