MATHEMATICS HIGH SCHOOL

84 of %300. i somehow got 24 but the answer was something like 252, i dont really get how. can you help?

Answers

Answer 1

Answer:

Answer:

252

Step-by-step explanation:

Of means multiply

84 % * 300

Change to decimal form

.84 * 300

252

Answer 2

Answer:

Step-by-step explanation:

You need to set up a proportion. Percents always over percents, so our first fraction would be $(84)/(100)$ , which just means that out of 100%, we are given 84. We need to find a variable to solve for: x. We need to find the number that is 84% of 300, which means that 300 is 100%. Knowing this, it would be in the denominator, since both 100 and 300 are 100% of something. This would give us the fraction $(84)/(100) = (x)/(300)$ . I like to use the cross-multiply method, which just means you multiply by a diagonal and then divide by what's left. This would give us 300 x 84 = 25,200/100 = 252. Hope this helps!

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2. The height of a triangle is 5 m less than its base. The area of the triangle is 42 m2. Find the length of the base.(Points : 1)

Answers

Let's start with what we know

Area:
$42 = (1)/(2)bh$ where 42 is the area, b = base, and h = height

Height:
Since we know the height is 5 less than the base, we can write that as an equation.
$h = b - 5$

Now let's go and plug $h = b - 5$ into $42 = (1)/(2)bh$

$42 = (b)/(2)(b-5)$
Let's distribute b over (b-5)

$42 = ( b^(2) - 5b )/(2)$
Let's move 42 over to the right side to make a quadratic formula

$0 = (1)/(2) b^(2) - (5)/(2)b - 42$

Let's plug that into the quadratic equation, which is:

$\frac{-b +/- \sqrt{ b^(2) - 4ac } }{2a}$
And we can now plug the pieces in to calculate b

$\frac{- (-(5)/(2)) +/- \sqrt{ (-(5)/(2))^(2) - 4 ((1)/(2))(-42) } }{2 ((1)/(2)) }$
$\frac{(5)/(2) +/- \sqrt{ (25)/(4) +84 } }{1 }$
${(5)/(2) +/- \sqrt{ (361)/(4) } }$
${(5)/(2) +/- { (19)/(2) }$
Since we can't have a negative value for b (a base can't be negative meters), let's add:

${(5)/(2) + { (19)/(2) }$
${ (24)/(2) }$
$12 = b$

So the base of the triangle is 12m

Answer:

took the quiz and it is correct the answer is 12

HEY CAN YALL PLS ANSWER DIS RQ

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

How do I convert radians to degrees? Is it pi/180 or 180/pi? I get them confused! Thanks

Answers

It could be either one, depending on whether you intend to multiply or divide.

When you convert, just remember that degrees ==> less radians,
and radians ==> more degrees. Then you can always check the
results, and make sure that you used the right conversion factor
in the right direction.

degrees = radians * 180/pi

P = 3r + 2 work out the value of of r when p= 17

Answers

Answer:

r = 5

Step-by-step explanation:

p = 3r + 2

17 = 3r + 2

17 - 2 = 3r

15 = 3r

r = 15/3 = 5

ABCD is a rectangle. Find the length of each diagonals.

AC = c over 3
BD = 4 - c

Answers

Diagonals are congruent

|AC| = |BD|

$(c)/(3)=4-c\ \ \ |multiply\ both\ sides\ by\ 3\n\n\not3^1\cdot(c)/(\not3_1)=3(4)-3c\n\nc=12-3c\ \ \ |add\ 3c\ to\ both\ sides\n\n4c=12\ \ \ \ |divide\ both\ sides\ by\ 4\n\n\boxed{c=3}\n\n|AC|=|BD|=(3)/(3)=1$

What is the greatest common factor of the pair of numbers?312 and 444

Question 10 options:

3

6

9

12

Answers

The GCF of 312 and 444 is 12.

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