What was the most common number scored <br> 30<br> 40<br> 50<br> 60

[answer asap]

Elan Coil [88]

Answer:

The width of the original rectangle on the left is $5\ m$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

Let

z -----> the scale factor

a ----> perimeter of the reduced rectangle on the right

b ----> perimeter of the original rectangle on the left

$z=\frac{a}{b}$

we have

$a=24\ m$

$b=30\ m$

substitute

$z=\frac{24}{30}=0.8$

step 2

Find the width of the reduced rectangle on the right

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

we have

$L=8\ m$

$P=24\ m$

substitute and solve for W

$24=2(8+W)$

$12=(8+W)$

$W=12-8=4\ m$

step 3

Find the width of the original rectangle on the left

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

Let

z -----> the scale factor

y ----> the width of the reduced rectangle on the right

x ----> the width of the original rectangle on the left

$z=\frac{y}{x}$

we have

$y=4\ m$

$z=0.8$

substitute and solve for x

$0.8=\frac{4}{x}$

$x=\frac{4}{0.8}$

$x=5\ m$

5 0

3 years ago

Inverse trigonometric ratios <br>

Leokris [45]

Answer:

Step-by-step explanation:

First we go to find <u>the length of ZX</u>
Notice that the angle of 25 degrees is opposite of the side length of 15 and <u>ZX</u> is what were trying to find.
Set up the equation sin25=15/x
Now move the 15 to the other side, x*sin25=15
now use your calculator to find x=35.4930238935
now find angle x( the triangle on the right)
notice that we the the side opposite to as 22 and the adjcent as 35.4930238935,we can use the tangent function to find the angle
set up the equation tanx=22/35.4930238935
tanx=0.619840114666
x=tan^-1(0.619840114666)
x=51.69554°
now know that a triangle has a total of 180 degrees, now we have the two angles we can make a equation for W to find the angle
W+51.69554+90=180
W+51.69554=90
W=38.30446

<h2>So the final Answer is m of W = 38.30446 degrees.</h2><h2 />

3 0

3 years ago

You deposit $1,600 in a bank account. The account pays 3% annual Interest compounded monthly. Find the balance after 5 years

kumpel [21]

Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.

step 2. A = P(1 + r/n)^(nt)

step 3. A = 1600(1 + .03/12)^((12)(5)

step 4. A = 1600(1.0025)^(60)

step 5. A = $1858.59

8 0

3 years ago

Worth 10 points <br><br> Can someone solve this for me! Thank you.

anzhelika [568]

Answer:

the k value is 6

Step-by-step explanation:

The form of a qruadratic equation is f(x)=a(x-h)^2 + k, so by comparing this to the function f(x)=-18(x-2)^2 + 6 we can see that K = 6, a = -18,and h = 2.

4 0

3 years ago

Whats 19,174 rounded to the nearest thousand

satela [25.4K]

19,000

Step-by-step explanation:

round down if the hundred is above 5 than round up one number

4 0

3 years ago

What was the most common number scored 30 40 50 60