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Ira Lisetskai [31]
3 years ago
15

There are four points on a line: A, B, C and D, so that AB=1,BC=2,CD=4. Find the length of segment AD. Consider all possibilitie

s and draw a picture for each one of them.
All possible answers for the length of AD are, _, _, _, _, _.
Mathematics
2 answers:
KiRa [710]3 years ago
7 0

Answer:

7

Step-by-step explanation:

Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.

omeli [17]3 years ago
3 0

Answer:

7, 1, 5, and 3

Step-by-step explanation:

Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.

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Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat
wlad13 [49]

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

V=\frac{1}{3}\pi r^2h

Where r is the radius and h is the height.

Volume of the cone A:

V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

r_B=2r_A\\r_B=2*2in\\r_B=4in

Then:

V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3

Divide V_B by V_A:

\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

5 0
4 years ago
Read 2 more answers
2/5 (x-4) =2x. Solve for x
Bess [88]
\dfrac{2}{5}(x-4)=2x\ \ \ \ |multiply\ both\ sides\ by\ 5\\\\2(x-4)=10x\ \ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\2x-8=10x\ \ \ |add\ 8\ to\ both\ sides\\\\2x=10x+8\ \ \ \ |subtract\ 10x\ from\ both\ sides\\\\-8x=8\ \ \ \ |divide\ both\ sides\ by\ (-8)\\\\\boxed{x=-1}
7 0
4 years ago
Emma is building a wall around her garden. It has taken 45 minutes,and she is 75% done. What is the total time it will take Emma
Morgarella [4.7K]
Hey there,
It take 45 min to complete 75% of the wall
1% = 45 / 75
      = 0.6
100 % = 0.6 x 100
           = 60 min
It takes her 60 mins or 1 hour to finish building the wall.

Hope this helps :))

~Top♥
5 0
3 years ago
Read 2 more answers
What are the slope and the y-intercept of the linear function that is represented by the equation y=-10x+1
RUDIKE [14]
<h3>Answer:</h3>

The slope is -10 and the y-intercept is 1.

<h3>Explanation:</h3>

This function is written in slope-intercept form, which is y=mx+b.  In this form, m is the slope and b is the y-intercept.

In this case, m=-10 and b=1, so those are the answers to this problem.

6 0
3 years ago
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A bank offers a 3.7% annual interest rate for a retirement savings account. A worker puts $8,000 into the account. How much will
Lapatulllka [165]

Answer:

1

Step-by-step explanation:

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3 years ago
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