Whats 27h divided by 3h in standard form

Answers

Answer 1

Answer:
27h / 3h = (9 x3h) / (1x3h) = 9

Answer 2

Answer: That would be 9h, because since we don't know what h equals to, we'll just divide normally and 27 divided by 3 is 9, so now we add the variable to substitute the unknown number. ;-)

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A triangle has a base of 9 feet and a height of 12 ft. What is the area of a triangle? A. 42ft^2 B. 54 ft^2 C. 84 ft^2 D. 108 ft^2

Answers

Answer:

The correct answer is option B. 54 ft^2

Step-by-step explanation:

Formula:-

Area of triangle

Area A = bh/2

b - Base of triangle

h - Height of triangle

To find the area of triangle

Here base b = 9 ft and height h = 12 ft

Area, A = bh/2 = (9 * 12)/2 = 54 ft^2

Therefore the area of given triangle is 54 ft^2

The correct answer is option B. 54 ft^2

Answer:54sqft

Step-by-step explanation:

A=b*h/2

A=9*12/2=54sqft

Is 0.33 a rational or irrational number? Explain.

Answers

rational. Ration number have an ending and irrational never end. 0.33 ends.
Hope that helps.

I am pretty sure it is rational because it ends, but it might be irrational since it is a decimal...

What is another way to write the expression using the Commutative.(1 5/8 + 4 3/4) + 3 2/8

Answers

commutative property of addition is
a+(b+c)=(a+b)+c

so just move the partenthsees ()

(1 5/8+4 3/4)+3 2/8=1 5/8+(4 3/4+3 2/8)

$(1 (5)/(8)+4 (3)/(4))+3 (2)/(8) = \n \n( (13)/(8)+ ^(2))(19)/(4))+(26)/(8)= \n \n (13+38)/(8)+ (13)/(8)= \n \n (64)/(8)= \boxed{8}$

Create a word problem that involves fractions. (fith grade)

Answers

3/5 of the visitors to the museum come during the week, and 4/10 come during the weekend. When does the museum get more visitors, during the week or during the weekend.

We know that 3/5 of the visitors to the museum come during the week, and that 4/10 come during the weekend. Since we want to know when the museum gets more visitors, we need to compare 3/5 to 4/10.

Notice that 3/5 and 4/10 are unlike fractions so our first step is to find a common denominator. The common denominator of 5 and 10 is the least common multiple of 5 and 10 or 10.

To get a denominator of 10 for our first fraction 3/5, we must multiply both the numerator and denominator by 2 to get 6/10.

Notice that 4/10 already has 10 in the denominator so it stays the same. Now we have like fractions. To compare like fractions, we simply compare the numerators or the top numbers. Since 6 is greater than 4, we know that 6/10 must be greater than 4/10. Since 6/10 represents the number of visitors that come to the museum during the week, we know that the museum gets more visitors during the week.

Esther has 2/3 of blue dresses in her dresser. Dana has 6/9 of blue dresses in his dresser. Are the fractions equivalent?

Answer: Yes! The fractions are equivalent because when 6/9 is simplified, it would be 2/3.

Joyce took out a small loan for $1,200. The interest on the loan was 10.5%, but she paid it off in just 18 months. How much did she pay back in interest?

Answers

Answer:

She paid back $192 in interest

Step-by-step explanation:

A = P(1+r)^n

P = $1,200

r = 10.5% = 0.105

n = 18 months = 18/12 = 1.5 years

A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392

Amount = $1,392

Principal = $1,200

Interest = amount - principal = $1,392 - $1,200 = $192

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:

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

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