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Arlecino [84]
3 years ago
8

BC= AC= m When it’s a 45-45-90 triangle

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0

Answer:

BC = 6

AC = square root of 72 or 8.485...

angle A = 45

Step-by-step explanation:

BC = BA

AC^2 = BA^2 + BC^2

angle A = 180-(90+45)

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Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymo
schepotkina [342]

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

7 0
3 years ago
PLEASE HELP ASAP
neonofarm [45]

Answer:

9 Quarters

8 Dimes

3 Nickels

Step-by-step explanation:

We let the number of quarters be q

number of dimes be d

and

number of nickels be n

Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:

0.25q + 0.10d + 0.05n = 3.20

Next,

3 times as many quarters as Nickels, we can write:

q = 3n

and

5 more dimes than nickel, we can write:

d = n + 5

Substituting these last 2 equations in the first and solving for n gives us:

0.25q + 0.10d + 0.05n = 3.20

0.25(3n) + 0.10(n+5) + 0.05n = 3.20

0.75n + 0.10n +0.5 + 0.05n = 3.20

0.9n = 2.70

n = 2.70/0.9 = 3

n = 3

We know q = 3n, so

q = 3(3) = 9

Also, we know d = n + 5, which means:

d = 3 + 5 = 8

Thus,

There are:

9 Quarters

8 Dimes

3 Nickels

5 0
3 years ago
= X<br> 20<br> 100<br> 60<br><br> Please help me
satela [25.4K]

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

5 0
3 years ago
PLS HELP ME! Convert the following graph into a table.
scoray [572]

Step-by-step explanation:

  1. (3,3)
  2. (2,1)
  3. (1,3)
  4. (0,3)

Or the other way around

(0,3)

(1,3)

(2,1)

(3,3)

by the way this is a function because all the outputs have one input. Nothing is being shared.

8 0
3 years ago
Change the equation to slope intercept form and identity the slope and y-intercept -8x+2y=6
gulaghasi [49]

The answer is:

y=4x+3

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

1. The slope intercept form of the linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept.

2. Therefore, you must solve for <em>y</em>, as following:

-8x+2y=6\\y=\frac{8x+6}{2}\\y=4x+3

m=4\\b=3

8 0
3 years ago
Read 2 more answers
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