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2 years ago

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Mathematics

2 answers:

lara31 [8.8K]2 years ago

6 0

Angle 1 and angle 8 are congruent

sashaice [31]2 years ago

6 0

Answer:

Angle 1 and angle 8 are congruent

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What is the slope of the line represented by the equation y=-3x+ *?

USPshnik [31]

The slope is the number before x, so -3

7 0

2 years ago

if you multiply the number by 2 and add 4, then result you get will be the same as three times the number decreased by 7.

liraira [26]

Answer:

Step-by-step explanation:

Let the number be x,

2x+4 = 3x-7

Collect like terms

2x-3x= -4-7

-x =. -11

Multiply both sides by -1

x. =. 11

PLEASE MARK BRAINLIEST.

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=Simplify%5C%3Beach%5C%3Bof%5C%3Bthe%5C%3Bfollowing%5C%3Bequations%5C%3Bfor%5C%3B50%5C%3Bpoints

jekas [21]

Answer:

y= -12
x = 7
q = -1
x = 24

Step-by-step explanation:

1. ..............................................

6(y + 7) = 2(y - 3)
6y + 42 = 2y - 6
6y - 2y = -6 - 42
4y = -48
y = -12

2...............................................

3x + 2(x - 5) = 25
3x + 2x - 10 = 25
5x = 25 + 10
5x = 35
x = 7

3 . ..............................................

10q + 3q + 5 = 2(q - 3)
13q + 5 = 2q - 6
13q - 2q = -6 - 5
11q = -11
q = -1

4. ..............................................

1/3(x + 6) = 2/3(x - 9)
3*1/3(x+6) = 3*2/3(x - 9)
x + 6 = 2(x - 9)
x + 6 = 2x - 18
2x - x = 6 + 18
x = 24

3 0

2 years ago

Read 2 more answers

Find the average value fave of the function f on the given interval. f(t) = e^sin(t) cos(t), [0, π/2]

RideAnS [48]

The question is related to integration and we have to used the following formula

$\frac{1}{b-a}\int\limits^a_b {f(x)} \, dx$

$\frac{1}{\pi /2 -0}\int\limits^0_{\pi/2} {e^{sin t}cos t } \, dt$

$= \frac{2}{\pi}(e^{sin t})_{0}^{ \pi /2}$

$=\frac{2}{\pi}(e^{sin(\pi/2)} -e^{sin0})$

$=\frac{2}{\pi}(e -1)$

6 0

2 years ago

Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of

vivado [14]

So Volume of cylinder is pi*r^2*h = 1,000

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h

So now you have 2 equations, so:

h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>

3 0

3 years ago