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3 years ago

HELP ME PLEASE!!! best answer gets brainliest show steps please

Mathematics

2 answers:

solniwko [45]3 years ago

7 0

Answer:

height = 20 cm

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ← r is the radius and h the height

given r = 12 and V = 2880π, then

π × 12²h = 2880π

144πh = 2880π ( divide both sides by 144π )

h = $\frac{2880\pi }{144\pi }$ = 20

klemol [59]3 years ago

4 0

The answer is what He said

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X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square

swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = $-\frac{4}{5}x+\frac{58}{5}$

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

(x + 2)² + (y - 5)²- 29 + 20 = 30

(x + 2)² + (y - 5)²- 9 = 30

(x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

Slope of the line joining this point to the center (-2, 5),

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{10-5}{2+2}$

= $\frac{5}{4}$

Let the slope of the tangent which is perpendicular to this line is ' $m_{2}$ '

Then by the property of perpendicular lines,

$m_{1}\times m_{2}=-1$

$\frac{5}{4}\times m_{2}=-1$

$m_{2}=-\frac{4}{5}$

Now the equation of the line passing though (2, 10) having slope $m_{2}=-\frac{4}{5}$

y - y' = $m_{2}(x-x')$

y - 10 = $-\frac{4}{5}(x-2)$

y - 10 = $-\frac{4}{5}x+\frac{8}{5}$

y = $-\frac{4}{5}x+\frac{8}{5}+10$

y = $-\frac{4}{5}x+\frac{58}{5}$

Therefore, equation of the line will be, y = $-\frac{4}{5}x+\frac{58}{5}$

7 0

3 years ago

What is solution to this equation 4x=124

kkurt [141]

4x= 124

divide both sides by 4 to get x by itself

4x/4= 124/4

Cross out 4 and 4, divide by 4 and then becomes 1*1*x= x

124/4

12/4= 3

4/4= 1

Answer: x= 31

7 0

3 years ago

explain why Shirley Chisholm was a political pioneer. __________________________________________________________________________

irga5000 [103]

Answer: She had already surprised everyone by becoming the first black woman in Congress after an upset victory in 1968. Then Shirley Chisholm signed up for work as a census taker in Brooklyn, where she represented a range of struggling neighborhoods.

It was a thankless task; many of the “enumerators” for the 1970 census quit because so many poor black and Hispanic residents refused to answer questions or even open the door.

Their distrust in government ran deep, The Times reported, with some fearing that giving up their personal information would lead to genocide.

Ms. Chisholm, a daughter of immigrants from Barbados who studied American history with the zeal of a woman determined to shape it, understood such sentiments. She also embodied what was needed to bring those New Yorkers into the fold. It wasn’t pontificating. It wasn’t condescending, or scolding; it required the same charm and resolve she showed first as an educator, then as a politician.

“I do not see myself as a lawmaker, an innovator in the field of legislation,” she wrote in her 1970 autobiography, “Unbought and Unbossed.” “America has the laws and the material resources it takes to insure justice for all its people. What it lacks is the heart, the humanity, the Christian love that it would take.”

8 0

3 years ago

(PLEASE HELP) Triangle LMN is similar to triangle OPR. Find the measure of side RO. Round your answer to the nearest tenth if ne

AysviL [449]

Answer:

<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:

ΔLMN = ΔOPR ----- (<em>given</em>)

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

6 0

3 years ago

WILL GIVE BRAINLYIST!!! ♦♦♦♦♦

sveticcg [70]

Answer:

A. (3,1)

B. g(x)=|x-3|+6

C. h(x)=-|x-3|-6

Step-by-step explanation:

A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).

B. The function g(x) translates f(x) 5 units up, so its equation is

g(x)=f(x)+5

g(x)=|x-3|+1+5

g(x)=|x-3|+6

Blue graph in attached diagram.

C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is

h(x)=-g(x)

h(x)=-(|x-3|+6)

h(x)=-|x-3|-6

Red graph in attached diagram.

7 0

3 years ago

HELP ME PLEASE!!! best answer gets brainliest show steps please​

HELP ME PLEASE!!! best answer gets brainliest show steps please