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3 years ago

HURRY!!

Mathematics

1 answer:

Alexxandr [17]3 years ago

8 0

If one side of the square is 8 cm, that makes the area of the square 64 cm², because you just square a side to get the area of a square. A circle's area is π r², but this is a quarter circle, so it'll be 1/4 πr². The radius of this quarter circle is 8 cm, since it shares the side with the square. 1/4 π(8)² = 50.24 cm². Add the two areas together to get a combined area of 114.24 cm² for this figure. This is an approximation because pi (and therefore the area of the circle) is approximated.
Make sense?

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F(x) = x + 6 , find the ordered pair when x = -2.

ss7ja [257]

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Answer: $\textsf{Option A, (-2, 4)}$

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Given: $\textsf{f(x) = x + 6}$

Find: $\textsf{f(-2)}$

Solution: We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.

Plug in the values

$\textsf{f(x) = x + 6}$

$\textsf{f(-2) = -2 + 6}$

Simplify

$\textsf{f(-2) = -2 + 6}$

$\textsf{f(-2) = 4}$

Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.

7 0

2 years ago

Solve for x 3x² - 5x + 6 = 10 - 4x

Nutka1998 [239]

Answer: $-1, \frac{4}{3}$

Step-by-step explanation:

$3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}$

6 0

2 years ago

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

mel-nik [20]

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?

Answer:

7 blue marbles

Step-by-step explanation:

15 blue

5 red

11 green

Total = 31

Number of Blue marbles that must be removed to obtain a probability of :

P(blue) = 1/3

Probability = required outcome / Total possible outcomes

Let number of blue marble to be removed = x

Number of Blue becomes : 15 - x

Total becomes : 31 - x

P(blue) = 1/3

1/3 = (15 - x) / (31 - x)

1/3 * (31 - x) = 15 - x

(31 - x) / 3 = 15 - x

31 - x = 45 - 3x

-x + 3x = 45 - 31

2x = 14

x = 14 / 2

x = 7

3 0

3 years ago

lana [24]

Answer:20

Step-by-step explanation:

3 0

3 years ago

five times the difference of a number and 3 is the same as 3 increased by 5 times the number plus three times the number. find t

jekas [21]

Step-by-step explanation:

5(x - 3) = 3 + 5x + 3x

5x - 15 = 3 + 8x

5x - 8x = 3 + 15

-3x = 18

x = 18/-3

x = -6

6 0

3 years ago