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Art [367]
3 years ago
9

The value of y is directly proportional to the value of x. If y = 35 when X = 140, what is the

Mathematics
1 answer:
vekshin13 years ago
4 0

Answer:

17.5

Step-by-step explanation:

soln:

given,

since, x and y are directly proportional

and x=140, y=35

dividing x by y we get,

x/y=140/35

or,x/y=4/1

or,x=4y

when x=70,

x=4y

or,70=4y

•°•y=17.5

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Write an equation based on the following table
kykrilka [37]
The equation is y=3x
6 0
3 years ago
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
Suppose the contact rate for a phone survey is 78% and that 22% of people will participate in that survey. Assume that agreeing
Gnoma [55]
Remember that, for independent events, the probability that both occurr is the product of the individual probabilities.

a) Probability of being contacted: 78% = 0.78

Probaility of refusing: 1 - 22% = 1 -0.22 = 0.78

Combined probability: 0.78*0.78 = 0.6084

b) The probability of failing to contact or making contact and not geeting them to agree 1 - the probability of contacting and getting them to agree.

The probabilityof contacting and getting them to agree is 0.78*0.22 = 0.1716

The the answer to this question is 1 - 0.1716 = 0.8284


 
8 0
4 years ago
In the digram GH bisects FGI what is the answer for C.
zhannawk [14.2K]

The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal:

3x-2=4x-13

Now let us add 2 to both sides gives

3x=4x-11

subtracting 4x from both sides gives

-x=-11x=11.

Hence, x = 11.

The measure of FGH is

3x-2=3(11)-2=31

(B)

The measure of HGI is

4x-13=4(11)-13=31

(C)

The measure of FGI is the sum of HGI and FGH:

\begin{gathered} \text{FGI}=\text{HGI}+\text{FGH}=31+31 \\ FGI=62^o \end{gathered}

<em />

7 0
1 year ago
A) 197 degree<br> B) 261 degree<br> C) 211 degree<br> D) 236 degree
Alik [6]

Answer:

Option D.) 236 degrees

Step-by-step explanation:

Angle GFE is half of the central angle. Measure of central angle is congruent to it's intersecting arc, therefore;

<em>2 * ∠GFE = Arc GE (?)</em>

2 * 118 = Arc GE (?)

<u>236 = Arc GE (?)</u>

Hope this helps!

8 0
3 years ago
Read 2 more answers
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