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2 years ago

Find the volume of the given prism. Round to the nearest tenth if necessary.

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

3 0

17m^3

Volume = Length x Height x Depth
Since it’s a essentially half a rectangle you divide the answer by 2.
V = 2 x 17 x 1 -> 34
34/2 = 17m^3

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Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins call

dangina [55]

Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

6 0

2 years ago

Show work and explain with formulas:

Marina86 [1]

17 Answer: 205

Step-by-step explanation:

$\{1\dfrac{2}{3}+1\dfrac{5}{6}+2+...+8\dfrac{1}{3}\}\implies a_1=1\dfrac{2}{3},\ d=\dfrac{1}{6}\\\\\\a_n=a_1+d(n-1)\qquad solve\ for\ n\\\\8\dfrac{1}{3}=1\dfrac{2}{3}+\dfrac{1}{6}(n-1)\\\\\\\dfrac{25}{3}=\dfrac{5}{3}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{50}{6}=\dfrac{10}{6}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{41}{6}=\dfrac{1}{6}n\\\\\\\dfrac{41}{6}\cdot 6=n\\\\41=n$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{41}=\dfrac{1\dfrac{2}{3}+8\dfrac{1}{3}}{2}\cdot 41\\\\\\.\quad =\dfrac{10}{2}\cdot 41\\\\\\.\quad =5\cdot 41\\\\.\quad =\large\boxed{205}$

18 Answer: 1968

Step-by-step explanation:

$a_1=-6,\ d=2,\ n=48, \quad \text{solve for }a_{48}\\\\a_{n}=a_1+d(n-1)\\\\a_{48}=-6+2(48-1)\\\\.\quad =-6+2(47)\\\\.\quad =-6+94\\\\.\quad =88$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{48}=\dfrac{-6+88}{2}\cdot 48\\\\\\.\quad =\dfrac{82}{2}\cdot 48\\\\\\.\quad =41\cdot 48\\\\.\quad =\large\boxed{1968}$

19 Answer: -116

Step-by-step explanation:

$\{3, -2, -7, ...\}\\a_1=3,\ d=-5,\ n=8, \quad \text{solve for }a_{8}\\\\a_{n}=a_1+d(n-1)\\\\a_{8}=3-5(8-1)\\\\.\quad =3-5(7)\\\\.\quad =3-35\\\\.\quad =-32\\\\\text{Now use the sum formula:}\\\\S_8=\dfrac{a_1+a_8}{2}\cdot 8\\\\\\S_{8}=\dfrac{3-32}{2}\cdot 8\\\\\\.\quad =\dfrac{-29}{2}\cdot 8\\\\\\.\quad =-29\cdot 4\\\\.\quad =\large\boxed{-116}$

6 0

2 years ago

Please Help! In the heavyweight class of professional wrestling, the junior weight limit is 190 pounds. This is 15 pounds heavie

lina2011 [118]

190
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------
175 pounds

7 0

3 years ago

Jamal ran 7 kilometers, sprinted 400 meters, and climbed bleachers for a distance of 1.6 kilometers during track practice. How m

seraphim [82]

First, convert 7 kilometers to meters, which is 7000 meters.
Add that to 400, and now you he ran 7400 meters.
Now convert 1.6 kilometers to meters, which is 1600 meters.
Add that to 7400, and the total is 9000 meters.

Hope this helped!

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3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME WITH MY HOMEWORK.

Anna71 [15]

Answer:

Check pdf

Step-by-step explanation:

Download pdf

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2 years ago