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harina [27]
3 years ago
9

Charles can type 675 words in 9 minutes. How many words can Charles type in 13 minutes?

Mathematics
2 answers:
tangare [24]3 years ago
5 0
Charles can type 975 in 13 mins
deff fn [24]3 years ago
4 0

Answer:

Words type in 13 minutes are 975 words .

Step-by-step explanation:

As given

Charles can type 675 words in 9 minutes.

Thus

Words\ type\ in\ one\ minutes = \frac{Total\ number\ of\ words}{Total\ time}

Put all the values in the above

Words\ type\ in\ one\ minutes = \frac{675}{9}

Words type in one minutes = 75 words

Thus

Words type in 13 minutes = 13 × Words type in one minutes

                                          = 13 × 75

                                          = 975 words

Therefore words type in 13 minutes are 975 words .

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a construction company needs to remove 24 tons of dirt from a construction site. They can remove 3/8 tons of dirt each hour. How
Sunny_sXe [5.5K]
Since each hour is 3/8 of a tone then, namely how many times does 3/8 go into 24?  well, is just their quotient.

\bf 24\div\cfrac{3}{8}\implies \cfrac{24}{1}\div\cfrac{3}{8}\implies \cfrac{24}{1}\cdot\cfrac{8}{3}\implies \cfrac{8}{1}\cdot \cfrac{8}{1}\implies 64
4 0
3 years ago
Perpendicular bisector of segment with endpoints -2,0 and 6,12.
BlackZzzverrR [31]
Slope= y^2-y^1
————
x^2-x^1

slope= 12-0
——-
6+2

slope= 12
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8

slope= 3/2

perpendicular slope is the opposite reciprocal

perpendicular slope= -2/3

6 0
3 years ago
Consider the two lines l1:x=−2t,y=1+2t,z=3tl1:x=−2t,y=1+2t,z=3t and l2:x=−8+4s,y=0+5s,z=5+1sl2:x=−8+4s,y=0+5s,z=5+1s find the po
seraphim [82]

At the point of intersection, the coordinates are the same:

... (x, y, z) = (-2t, 1+2t, 3t) = (-8+4s, 5s, 5+s)

We only need two of the coordinates to solve for the values of s and t. Using the x- and y-coordinates, we have

... 4s + 2t = 8 . . . . . . x2 - x1 = 0, in standard form

... 5s -2t = 1 . . . . . . . y2 - y1 = 0, in standard form

Adding these equations gives 9s=9, so s=1. Substituting into either equation gives t=2.

Using the expression for l1 with t=2, the point of intersection is

... (-2·2, 1+2·2, 3·2) = (-4, 5, 6).

_____

We could have stopped after finding the value of s, because that defines the point. By finding the value of t, we can check the solution to make sure that l1 and l2 both give the same point for the respective values of s and t. (They do.)

8 0
3 years ago
The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i
kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

S=\pi r\sqrt{r^2+h^2}

and volume,

V=\frac{1}{3}\pi r^2 h

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

f(r,h)=\frac{1}{3}\pi r^2 h

subject to,

g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)

We know for maximum volume r\neq 0. So let \lambda be the Lagranges multipliers be such that,

f_r=\lambda g_r

\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})

\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)

And,

f_h=\lambda g_h

\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}

\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)

Substitute (3) in (2) we get,

\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})

\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)

\implies h^2=2r^2

Substitute this value in (1) we get,

\pi r\sqrt{h^2+r^2}=8

\implies \pi r \sqrt{2r^2+r^2}=8

\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252

Then,

h=\sqrt{2}(1.21252)\equiv 1.71476

Hence largest volume,

V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114

3 0
2 years ago
G(x) = –(x + 3)2 – 4?
professor190 [17]

Answer:

g(x)=-x-5

Step-by-step explanation:

Simplify parenthesis by distribution:

g(x)=-x-3+2-4

Addition and Subtraction:

-3+2=-1, -1-4=-5

Finalize since no more simplification:

g(x)=-x-5

Pls give thx and brainliest wanna level up

6 0
2 years ago
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