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3 years ago

I need help understanding how to do the problem

Mathematics

1 answer:

notsponge [240]3 years ago

4 0

So.. if you notice the picture below

is really just 3/4 of a cylinder, or, a full cylinder, and then you slice 1/4 off of it
notice the right-angle in your picture at the bottom, is cut at a right-angle, meaning, the cutout is 1/4 of the volume

so $\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius\\
h=height
\end{cases}\qquad \frac{3}{4}\textit{ of that}\implies \cfrac{3}{4}\cdot \pi r^2 h$

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Darell parks his car in a parking garage. The garage charges a certain amount for the first hour and an hourly rate for each add

mestny [16]

Answer:

charges for the first hour = $7.55

charges for each additional hour = $1.55

c = 1.55h + 7.55

Step-by-step explanation:

Let

x = charges for the first hour

y = charges for each additional hour

x + 2y = 10.65 (1)

x + 5y = 15.30 (2)

Subtract (1) from (2)

5y - 2y = 15.30 - 10.65

3y = 4.65

y = 4.65/3

= 1.55

y = $1.55

Substitute y = 1.55 into

x + 2y = 10.65

x + 2(1.55) = 10.65

x + 3.10 = 10.65

x = 10.65 - 3.10

= 7.55

x = $7.55

c = 1.55h + 7.55

3 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

Satnam is making a cake. he uses a batter made of 150g of dry ingredients.if the liquid has to be two sevenths of the total weig

SIZIF [17.4K]

Answer:

Answer- 85.7 g

300:7= 42.85

42.85x2=85.7

Step-by-step explanation:

5 0

3 years ago

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What error did zacharias make?

qwelly [4]

The equation 0 = -2x2 5x - 3 was the quadratic formula that Zacharias used. However, he started substituting as:
Quadratic formula as x = ; substitution as x

The errors he made: he mistakenly used the negative (-) and postive (+)
* -5 should have been 5
* 52 should have been -52
* both the numerator and the denominator should have been -2 instead of 2

7 0

3 years ago

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One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

Alex_Xolod [135]

If you factor the equation you can see what the solutions are. Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...

jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:

(x-5)(x+3)

So the other solution is x=5

7 0

2 years ago

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