MATHEMATICS MIDDLE SCHOOL

writing at a Constant rate, amir wrote a 16-page report in 2 1/2 hours. at what constant rate did amir write

Answers

Answer 1

Answer:

Answer:

6.4

Step-by-step explanation:

all you have to do is divide 16/2.5 (2 1/2) and you get 6.4

hope this helped!!

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8)If there are 4 yellow, 2 blue, 1 red, and 3 green marbles in a bag, what is theprobability you choose a blue marble at random, P(blue)?
What is the Pſyellow)?

Answers

Answer: P(blue)=1/5. P(yellow)=2/5.

Step-by-step explanation: First find the total number of marbles. 4+1+2+3=10. To find the probability of blue marbles, use this equation (number of blue marbles (2) / total number of marbles(10) ). 2/10=1/5.

To find the probability of yellow marbles do this equation (number of yellow marbles (4) / total number of marbles (10) ). 4/10=2/5.

1 inch = 125 miles, city a is 300 miles from city b, what is the distance between the two cities on the map

Answers

Answer:

2.4in.

Step-by-step explanation:

If 125 miles is an inch, then it could be put into an equation like this: 125x=300. To solve it, divide both sides 125 to leave X alone on one side. X=2.4. Since 125= 1inch, then there is no more work needed.

Answer:

2.4in.

Step-by-step explanation:

If 125 miles is an inch, then it could be put into an equation like this: 125x=300. To solve it, divide both sides 125 to leave X alone on one side. X=2.4. Since 125= 1inch no more needed

Find the exact values of sin θ/2 and cos θ/2 for sin θ = 3/4 on the interval 0° ≤ θ ≤ 90°

Answers

Answer:

Step-by-step explanation:

If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.

Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,

$4^2=3^2+b^2$ and

$16-9=b^2$ and

$b=√(7)$

Now for the forula for the sin of a half-angle:

$sin((\theta)/(2))=\sqrt{(1-cos\theta)/(2) }$

Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is $(√(7) )/(4)$

Filling in the formula then:

$sin((\theta)/(2))=\sqrt{(1-(√(7) )/(4) )/(2) }$

Get a common denominator on the upper fraction:

$sin((\theta)/(2))=\sqrt{((4-√(7) )/(4) )/(2) }$

Bring up the 2 as 1/2 to multiply and get:

$sin((\theta)/(2))=\sqrt{(4-√(7) )/(8) }$

When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value:

$cos((\theta)/(2))=\sqrt{(4+√(7) )/(8) }$

Hugo cut a mayfly that is 0.63 cm long Sherry caught a mayfly that is 0.8 cm long who cut the longer mayfly

Answers

Sherry caught the biggest one because 0.8 = 0.80 and Hugo's is only 0.63 cm long.

For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Answers

Pythagorean theorem:
a² + b² = c²

a is the long leg of the triangle
b is the short leg of the triangle
c is the hypotenuse

side lengths ; 3 inches, 4 inches, 5 inches of a right triangle.

a = 4 inches
b = 3 inches
c = 5 inches

4² + 3² = 5²
16 + 9 = 25
25 = 25

Possible Answer:

The base of a right triangle is shorter then the hypotenuse due to the diagnal of the line being the longest line we can conclude that 5 is the Hypotenuse (C). That would mean that the longest line thats not the hypotenuse(4) is B and the shortest line(3) is A.

Possible Answer Two:

Since the hypotenuse is the longest line in a right triangle we can conclude its length is 5 and the base is 4 and the side length is 3.

What's -3 = n +9 for algebra

Answers

The answer is clearly 6

The answer in not 6.
The answer is -12
n= -12

-3= n + 9 first step is to subtract 9 on both sides
-9 -9
-12=n

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