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Rasek [7]
4 years ago
11

Evaluate 7r- 15/8 when r=3 and s=5

Mathematics
1 answer:
HACTEHA [7]4 years ago
6 0

Answer:

Which is equal to 18.

Step-by-step explanation:

7(3) - 15/(5). 7 x 3 is equal to 21, 15/5 is equal to 3. you are now left with 21-  3,

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Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
Nadya [2.5K]

Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

Triangle ABC = 1/2 × Area of square  from which ABC is cut

The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

The area of the figure = The area of semicircle BC + The area of triangle ABC

The area of the figure = 4.5·π cm² + 18 cm² = \dfrac{9 \cdot \pi +36}{2} \ cm^2.

5 0
3 years ago
Find the geometric sum: 40 + 20 + 10 + … + 0.078125
sveticcg [70]
S=40+20+10+\cdots+0.078125
S=40\left(1+\dfrac12+\dfrac14+\cdots+\dfrac1{512}\right)
S=40\left(1+2^{-1}+2^{-2}+\cdots+2^{-9}\right)

2^{-1}S=40\left(2^{-1}+2^{-2}+2^{-3}+\cdots+2^{-10}\right)

\implies S-2^{-1}S=40\left(1-2^{-10}\right)
\implies\dfrac12S=40\left(1-\dfrac1{1024}\right)
\implies S=80\left(1-\dfrac1{1024}\right)=\dfrac{5115}{64}=79.921875
4 0
3 years ago
What is the system of solution to y-x=-13 and -4x+3y=-51
poizon [28]
Equation 1 ==> y - x = -13
Equation 2 ==> -4x + 3y = -51
3(y - x) = 3(-13)
Equation 3 ==> 3y - 3x = -39

Equation 2 - 3
= (3y - 3y) + ( -4x - (-3x) ) = -51 - (-39)
-x = -12
x = 12

Substitude x into equation 1
y - 12 = -13
y = -1
8 0
4 years ago
Solve for x . x/2 + 1.1= -2.1
raketka [301]

Answer: x = 1.6

Step-by-step explanation:

Start by Identifying what you need to keep, in this case that would be X. In order to solve for x, you would need to get rid of any co-efficients. (example: +1.1) To get rid of them, you have to do the opposite action of what it's doing to the equation. (subtraction)

1.1- (-2.1) = 3.2 (if you subtract a negative, it turns positive/ you add) leaving you with x/2 = 3.2.

Now that we have our coefficient out the way, we have to get rid of the division so we can <u>only</u> solve for x. We do that by dividing the remainder of the equation by 2

3.2/2 = 1.6

Leaving us with the answer, x = 1.6

8 0
3 years ago
Macy wants to sell her old Playstation 4 games on decluttr.com. The wtbsite charges sellers a comission of 20%
muminat

Answer:

$28

Step-by-step explanation:

The website charges 20%, so Macy receives 80%.

Then:

80% x 35=.8 x 35=28 ....................

5 0
3 years ago
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