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2 years ago

Work out the area of the parallelogram

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

8 0

Answer:

b x h

Step-by-step explanation:

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Find the y-intercept of the line below.

ANEK [815]

Y=mx+b, the b is your y-intercept so just rearrange your equation
y=(3/7)x+(2/7)
your y-intercept would be b) (2/7)

8 0

3 years ago

You borrowed $1,500 at 6% compounded annually. your payments are $90 at the end of each year. how many years will you make payme

olga nikolaevna [1]

Given the formula for future value annuity:
FV of annuity=P[(1+r)^n-1]/r
where:
P=principle
r=rate
n=time
the time taken to repay the loan will be:
1500=90[(1+0.06)^n-1]/0.06
90=90[(1+0.06)^n-1]
1=(1+0.06)^n-1
1+1=(1+0.06)^n
2=1.06^n
introduce natural log
ln2=nln1.06
n=ln2/ln1.06
n=11.8957=12 years
the answer is 12 years.

5 0

3 years ago

If 5x +1 = 21, then x = what?

inessss [21]

Answer:

Your answer is going to be x=4.

Step-by-step explanation:

5x+1=21

-1 -1

(5x)/5=(20)/5

x=4

4 0

3 years ago

Read 2 more answers

The length of one leg of a 45° − 45° − 90° triangle is 24. What is the perimeter of the triangle?

prohojiy [21]

Answer:
second leg = 24 units
hypotenuse = 24√2 units
perimeter = 48 + 24√2 units

Explanation:
1- getting the other leg:
Since the triangle given is an isosceles triangle, this means that the two legs are equal in lengths.
We are given that one of the legs is 24 units, therefore, the other leg is also 24 units

2- getting the hypotenuse:
The given triangle is a right-angled triangle. We can use Pythagorean theorem to get the hypotenuse as follows:
(hypotenuse)² = (24)² + (24)²
(hypotenuse)² = 1152
hypotenuse = 24√2 units

3- getting the perimeter:
The perimeter of the triangle is the summation of its three sides.
In the given triangle, we have:
two legs = 24 units
hypotenuse = 24√2 units
Therefore:
perimeter = 24 + 24 + 24√2
perimeter = 48 + 24√2 units

Hope this helps :)

5 0

3 years ago

*Write An inequality then solve for the width.* The length of a rectangle is 12 more than its width. what values of the width wi

Sonbull [250]

Let $x$ be the width of the rectangle, so the length will be $12+x$ .
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: $P=2(w+l)$
where
$P$ is the perimeter
$w$ is the width
$l$ is the length

We know that $w=x$ and $l=12+x$ , so lets replace those values in our formula:
$P=2(x+12+x)$
$P=2(2x+12)$
$P=4x+24$

We want values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
 $4x+24\ \textless \ 96$
$4x\ \textless \ 72$
$x\ \textless \ \frac{72}{4}$
$x\ \textless \ 18$

Since the width can't be zero, we can conclude that the values of the width that will make the perimeter less than 96 feet are: $0\ \textless \ x\ \textless \ 18$ or in interval notation: (0,18)

4 0

3 years ago