MATHEMATICS HIGH SCHOOL

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer 1

Answer:

Answer:

$13/28$

Step-by-step explanation:

Let

x-----> the shaded area

we know that

$x+(1)/(4)+(2)/(7)=1$

Because the complete circle represent the $100\%$

and

$100\%=100/100=1$

solve for x

Multiply by $28$ both sides

$28x+7+8=28$

$28x=28-15$

$28x=13$

Divide by $28$ both sides

$x=13/28$ ----> fraction irreducible

Answer 2

Answer: I hope this helps you

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x is a point in the interior of rectangle PTRS. If XP=a, XT=c and XR=b, determine XS. a<b<c. Answer should be in terms of a, b and c

Answers

so you cannot really get the exact measure because they didn't give you any measures, but we can infer that if c>b and a then
maybe SX (d) is more than b and a so

a<b<c or d not sure which
sorry if I didn't help

Solve 5x + 14 = k for x.

Answers

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer:

k - 14/5

Step-by-step explanation:

5x + 14 = k

On subtracting 14 on both sides,

5x = k - 14

On dividing by 5 on both sides,

x = k - 14/5

Therefore, the value of x = k-14/5

Hope this helps You

Please mark as the Brainliest

Thank You

4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).

Answers

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

$Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }$

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

$Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }$

$Distance = √(61)$

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units

Helpppppppppp aasapppp

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction

$-2(2)/(3)=-(8)/(3)\n\n\n-1(1)/(3)=-(4)/(3)$

$-2(2)/(3)$ ÷ $-1(1)/(3) =$ $(-8)/(3)$ ÷ $-(4)/(3)$

$=-(8)/(3)*-(3)/(4)\n\n\n=2 *1 \n\n= 2$

Answer:

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2

What percent of 100 is 30?
a. 30%
b. 333%
c. 3.33%
d. 0.3%

Answers

If you would like to know what percent of 100 is 30, you can calculate this using the following steps:

x% of 100 is 30
x% * 100 = 30
x/100 * 100 = 30
x = 30%

The correct result would be a. 30%.

We set up a proportion: 30/100= ?/100

Because we have the same denominator, the two numerators must be equivalent.

Therefore, ?= 30.

The correct answer is a. 30%

Find all the powers of 3 in the range 3 through 1,000.

Answers

3^1=3
3^2=9

lets skip a couple and guess
3^10=59049 oops too high

3^6=729 good
3^7=2187 too high so

the answers are
3^1
3^2
3^3
3^4
3^5
3^6

3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729

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