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2 years ago

Expand and simplify each expression. 3(m + 2) + 4(6 + m) = Response area 5(2p + 5) + 4(2p −3) =

Mathematics

1 answer:

SVEN [57.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

3(m+2)+4(6+m)

3m+6+24+4m

3m+4m+6+24

7m+30

--------------------

5(2p+5)+4(2p-3)

10p+25+8p-12

10p+8p+25-12

18p+13

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Leya [2.2K]

Answer:

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Sin 45 = 1/ √ 2

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Step-by-step explanation:

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3 years ago

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3 years ago

In Mr.Kleins class, 40% of the students are boys. What decimal represents the portion of the students that are girls?

Sidana [21]

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3 years ago

A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling

ratelena [41]

Answer: 7/8

Step-by-step explanation:

Probability is calculated by number of possible outcomes/ total outcomes

From the question, a coin only has two sides, Head or Tail. Total outcomes is therefore equal to 2

Possible outcome is to toss a head, which is one event

Probability of tossing a head is therefore =1/2

The second part of the question is rolling a die with eight sides.

Here, the die is said to have eight sides, 1,2,3,4,5,6,7,8. Total outcomes is therefore equal to 8

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Pr(rolling > 5) is 3/8

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3 years ago

Find the equation of circle (5,1) diameter 4 square root 5

stepladder [879]

Answer:

$(x-5)^2+(y-1)^2=20$

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Given:

center = (5, 1)
diameter = 4√5

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

$\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2$

$\implies (x-5)^2+(y-1)^2=20$

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2 years ago