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8090 [49]
3 years ago
13

Is the volume of a triangular prism one-third the volume of a rectangular prism with the same base area and height? ASAP!!!!!!!

Mathematics
1 answer:
alexira [117]3 years ago
4 0
Yes because a triangles are is 1/3 b x h and a rectangles area is just b x h. The triangle would get smaller because it doesn’t have one corner, and the rectangle would keep a constant size.
You might be interested in
Find thhe remainder when 7^203 is divided by 4
Aleksandr [31]
Using the square-and-multiply approach, we have

7^{203}=7\times(7^{101})^2
7^{101}=7\times(7^{50})^2
7^{50}=(7^{25})^2
7^{25}=7\times(7^{12})^2
7^{12}=(7^6)^2
7^6=(7^3)^2
7^3=7\times7^2

and so, using the property that, if a_1\equiv b_1\mod n and a_2\equiv b_2\mod n, then a_1a_2\equiv b_1b_2\mod n, we get

7\equiv3\mod4
7^2\equiv9\equiv1\mod4
7^3\equiv7\times1\equiv7\equiv3\mod4
7^6\equiv9\equiv1\mod4
7^{12}\equiv1\mod4
7^{25}\equiv7\times1\equiv7\equiv3\mod4
7^{50}\equiv9\equiv1\mod4
7^{101}\equiv7\times1\equiv7\equiv3\mod4
7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4
4 0
3 years ago
The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10
Nutka1998 [239]
If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

{a}^{2} + {b}^{2} = {c}^{2}
Then you have to pose the formula in terms of one of the legs, so:

{a}^{2} = {c}^{2} - {b}^{2}
a = \sqrt{ {c}^{2} - {b}^{2}}
So when you change the letter for numbers you have that:

a = \sqrt{ {58}^{2} - {42}^{2} }

a=40
5 0
3 years ago
Joe drove 538 miles in 9 hours 15 minutes.what was his average speed per hour?
OleMash [197]
58.8 miles per hour
6 0
3 years ago
Read 2 more answers
15. Using the circle below, find each arc length. Round to the nearest hundredth. R a) ST b) RPT 97 125 PS = 28 feet
Troyanec [42]

The measure of arcPR and arcRPT are 83 and 208 degrees respectively

The measure of arc ST will be gotten using the expression below:

arcPS = arcPT + arcST

Given the following

  • arcPT = 125 degrees
  • arc PS = 180 degrees

arcST = arcPS - arcPT

arcST = 180  - 125

arcST = 55 degrees

Similarly, arcPR = 180 - arcRS

arcPR = 180 - 97

arcPR = 83 degrees

arcRPT = arcPR + arcPT

arcRPT = 83 + 125

arcRPT = 208 degrees

Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively

Learn more about circles here: brainly.com/question/24375372

7 0
2 years ago
SOMEONE PLEASE I NEED HELP Find a polynomial f(x) of degree 4 that has the following zeros. 6, 5, -4, -7 - Leave your answer in
sattari [20]

Answer:

y=(x-6)(x-5)(x+4)(x+7)

Step-by-step explanation:

<u><em>Formulate the equation of the polynomial function</em></u>

<u><em /></u>y=(x-6)(x-5)(x+4)(x+7)

<em>I hope this helps you</em>

<em>:)</em>

8 0
2 years ago
Read 2 more answers
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