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3 years ago

Consider circle with diameter DE. E(13,11) D(-3,3)

Mathematics

1 answer:

Mariulka [41]3 years ago

7 0

The length of DE 21.26029163 units

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The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be

Fed [463]

Answer:

120 $\frac{13}{18}$

Step-by-step explanation:

The formula for finding the volume of a prism is:

V = Bh

You have to convert 13 $\frac{2}{3}$ into an improper fraction, like so:

$\frac{41}{3}$

Convert the other:

$\frac{53}{6}$

Multiply:

$\frac{41}{3}$ · $\frac{53}{6}$ = $\frac{2173}{18}$

Convert to mixed fraction:

120 $\frac{13}{18}$

6 0

3 years ago

Ella completed 3/8 of a puzzle during recess on Tuesday. Joy completed two six of the same puzzle during recess on Wednesday. ho

gavmur [86]

Well u have to make the denominator the same so u multiply 3/8 by 3 and get 9/24, then multiple 2/6 by three and get 8/24. Add them, 9/24+8/24 and u get 17/24

6 0

3 years ago

13....................

Mashcka [7]

13.

(a)

$y=-5x^2+21x-3$

for x = 2:

$y=-5(2)^2+21(2)-3=-20+42-3=19$

for x = 5

$y=-5(5)^2+21(5)-3=-125+105-3=-23$

(b)

The graph is:

(c)

Using the graph:

$\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}$ $\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}$ $\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}$

Using the quadratic formula:

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}$