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NeX [460]
3 years ago
9

Find the value of 'x' in the given figure ​

Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

Answer:

x=10

Step-by-step explanation:

The value of x is 10

rate me and thank me!!!

Zanzabum3 years ago
3 0

Answer:

x=4

Step-by-step explanation:

.................

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Help me please i need the correct answer
BaLLatris [955]

Answer:

First one is 25/2

Step-by-step explanation:

12×2+1=25/2

9×4+1=36/4

cross multiply and you get

100/

divide both by 2 and you get 50/4 then you divide both by 2 again and you get 25/2 because you can't reduce it anymore

7 0
2 years ago
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She
sleet_krkn [62]

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

8 0
3 years ago
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
Lady_Fox [76]

Answer:

<h2>y = 3x - 5</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\y=mx+b\\m-slope\\b-y\ intercept

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\=========================

\text{From the graph we have two points (-3, 2) and (0, 1).}\\\text{Calculate the slope of the given line:}\\\\m=\dfrac{1-2}{0-(-3)}=\dfrac{-1}{3}=-\dfrac{1}{3}.\\\\\text{Therefore the slope of the perpendicular line is:}\\\\m=-\dfrac{1}{-\frac{1}{3}}=3\\\\\text{Put it and the coordinates of the point (3, 4) to the equation of a line:}\\\\4=3(3)+b\\4=9+b\qquad\text{subtract 9 from both sides}\\-5=b\to b=-5\\\\\text{Finally:}\\\\y=3x-5

5 0
3 years ago
96 ÷ 42 + (25 x 2) - 15 - 3=? I need help with my math
ANTONII [103]
Pemdas
so do parenthaseese first
work inside then out
(25 times 2)
(50)
now we have
96/42+(50)-15-3=?

start from the begining again of the equation (left) now we do division
96/42=16/7

now we have 16/7+(50)-15-3
start over and do addition
16/7+50=2 and 2/7+50=2+2/7+50=52 and 2/7
subtract
52 and 2/7-15=52+2/7-15=37 +2/7=37 and 2/7
then subtract 3
37 and 2/7-3=37+2/7-3=34+2/7=34 and 2/7

answer is 34 and 2/7
7 0
3 years ago
What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1? (–3, –33) (–3, 3) (3, –24) (3, 21)
Arte-miy333 [17]
ANSWER

(-3,3)

EXPLANATION

The given function is

y + 2x + 3 = - (x + 2) ^{2} + 1

Expand

y + 2x + 3 = - x ^{2} - 4x - 4 + 1

Rewrite in the form:

y =a {x}^{2} + bx + c

This implies that,

y = - x ^{2} - 4x - 2 x - 4 + 1 - 3

y = - {x}^{2} - 6x - 6

Complete the square to get,

y = - ( {x}^{2} + 6x) - 6

y = - ( {x}^{2} + 6x + {(3)}^{2} ) - - {(3)}^{2} - 6

y = - {(x + 3)}^{2} +9 - 6

y = - {(x + 3)}^{2} +3

The function is now in the form:

y = a {(x - h)}^{2} +k

where (h,k) =(-3,3) is the vertex
8 0
4 years ago
Read 2 more answers
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