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Brums [2.3K]
3 years ago
10

Please help me with this question.​

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Monica = 48.50

Samuel = 24.25

Kara = 17.25

Step-by-step explanation:

First you write equations as you are reading the text:

m = 2s ("Monica earned twice as much as Samuel")

s = k+7 ("Samual earned 7 more than Kara")

m = 48.50

Next, you convert these equations to solve for s and k respectively.

So, if m=2s, then s=m/2:

s = m/2 = 24.25

Likewise, if s=k+7, then k=s-7

k = s-7 = 17.25

The difference between greatest and least is 48.50 - 17.25 = 31.25

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A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​
Hitman42 [59]

Answer:

\theta=102.85^{\circ}

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

A=\dfrac{\theta}{360}\pi r^2

Solve for \theta.

\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}

So, the angle of the sector is equal to 102.85^{\circ}.

7 0
3 years ago
Trigonometry, IF answer is delivered on time WILL give BRANLIEST
Lunna [17]

Answer:

x=37°

y=6

Step-by-step explanation:

(ASSUMING BD is a perpendicular bisector of AC, otherwise answers maybe be wrong)

Consider the triangle ABC:

AB is the same length as BC (marked), meaning ABC is an isosceles triangle.

Since ABC is isosceles, ∠BAC=∠BCA=53

All angles in a triangle add up to 180:

180=∠ABC + ∠BAC + ∠BCA

180= ∠ABC + 53 +53

∠ABC = 180 - 106

∠ABC = 74

Assuming BD bisects ∠ABC perfectly, x is half of ∠ABC.

x=74/2=37

If BD bisects AC perfectly, AD=DC=y=6

8 0
3 years ago
A colony of bacteria has 10,000 bacteria and is growing exponentially. The inequality 10,000(4x) ≥ 320,000 represents the hours,
dexar [7]

Answer:

A [2.5, ∞)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2
Anna007 [38]

Answer:

<u>Given data:</u>

  • 4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

<u>Put the data in the ascending order:</u>

  • 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8

<u>Mean, the average:</u>

  • (1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5

<u>Median, average of middle two numbers:</u>

  • 3

<u>Mode, the most repeated number:</u>

  • 2 (repeated 5 times)

Mean is normally the best measure of central tendency, same applies to this data.

6 0
3 years ago
Read 2 more answers
8(-b+4)=<br> idk what the answer is please help
iren [92.7K]

Answer:

-8b+36 is the answer.

Step-by-step explanation:

=8(-b+4)

Opening brackets to simplify

=8✖️(-b)+8✖️4

=-8b+36 is the answer.

Hope this will help you :)

4 0
3 years ago
Read 2 more answers
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