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3 years ago

John is using two right triangles to build a rabbit cage. Can his right triangles also be isosceles? Explain

1 answer:

5 0

Sure, there's such a thing as an isosceles right triangle. It's what you get when you draw the diagonal of a square. It has one right angle (of course) and two 45 degree angles. It's the shape that vexed the Pythagoreans.

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The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using?

hjlf

Answer:

$\frac{1m}{4cm}$

Step-by-step explanation:

First write the problem out as a fraction.

$\frac{4}{16}$

Next see if there is a GCF

4:1,2,4

16:1,2,4,8,16

Finally divide the numerator and denomenator by the GCF

$\frac{4}{16} /4=\frac{1}{4}$

4 0

2 years ago

A cylinder vase has a height of 10 inches and a diameter of 3 inches. If the water raises to 9/10 of the way to the top, approxi

goblinko [34]

Answer:

The volume of water in the vase is $64 in^3$

Step-by-step explanation:

A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:

r = 3 / 2 = 1.5 inches

To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.

The volume of a cylinder is given as:

$V = \pi r^2h$

The volume of the vase will be:

$V = \pi * 1.5^2 * 10\\V = 70.69 in^3$

Hence, the volume of the water in the vase when it is 9/10 filled is:

$\frac{9}{10} * 70.69 = 63.62 in^3$

Approximating to the nearest cubic inch, the volume of water in the vase is $64 in^3$

5 0

2 years ago

I have a LOT of trouble in math. Can you guys help me with these questions? thanks

ASHA 777 [7]

1. 5/8 + 1/8 = 6/8 --> 3/4

3. - 1/4+ 3/4:

-0.25+0.75= 0.5 OR 1/2

5. 5/9 + 5/9 = 10/9 --> 1 whole 1/9

7. 3/10 + 1/10 = 4/10 --> 2/5

9. 7/15 + 4/15 = 11/15

And I simplified them too :P

Also this is ez, to me :PP

3 0

2 years ago

Solve for i in the following equation by means of linear interpolation<br>(1 + i)10 – 1<br>= 25

docker41 [41]

Answer:

$i=1.6$

Step-by-step explanation:

The given equation is

$(1+i)10-1=25$

To solve for $i$ , first, we need to sum 1 unit to each side of the equation.

$(1+i)10-1+1=25+1\\(1+i)10=26$

Then, we divide the equation by 10

$\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6$

Finally, we subtract each side with -1

$1+i-1=2.6-1\\i=1.6$

Therefore, the solution to the given equation is $i=1.6$

4 0

2 years ago

1 in 5 people in California go to Disneyland each summer. In a group of 25 people, how many people would most likely go to Disne

balu736 [363]

Answer:

Five people are likely to go to Disneyland.

Step-by-step explanation:

Well, we know that 1 per five people go there, so we need to find out how many groups of five are in 25. Well, we know that 5*5 is 25, so there must be five groups of five people.

Now, we know that 1 in each group of five go to Disneyland. So all we have to do is multiply 1 by the number of groups there are.

1*5=5

So the answer is: 5 people are likely to go to Disneyland.

5 0

2 years ago

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