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3 years ago

Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer:

a = 50

Step-by-step explanation:

From the introduction, you know that the area is 3a^2

You also know that it is 7500 square feet. \

So the two must be equal

3a^2 = 7500 Divide by 3

a^2 = 7500/3

a^2 = 2500

The square root of 2500 is 50

sqrt(a^2) = sqrt(2500)

a = 50

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Andy has 901 cards for a big game if he gives away 789 how much does he have left

Leokris [45]

Answer:

the answer is 112

Step-by-step explanation:

901-789=112

4 0

3 years ago

I will mark you as brainliest if you're answer is correct

GalinKa [24]

Answer:

perimeter = 28.13 cm

Step-by-step explanation:

Calculate the length of a line drawn from A to C.

sin 85 = b/8, b = 7.97

cos 85 = c/8, c = 0.697

AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37

AC = 10.41

Now you have a right triangle ADC with a known hypotenuse and one leg.

Using the Pythagorean theorem:

DC² = 10.41² - 5²

DC² = 108.37 - 25 = 83.37

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8 0

2 years ago

I don't understand how to do this, could I have some help?

kondaur [170]

Step-by-step explanation:

step 1. slope = rise/run

step 2. the rise is the height between any 2 points

step 3. the run is the distance left or right between the same 2 points

step 4. if the line goes up "left to right" the slope is positive, down it is negative

step 5. slope = + 6/2 = 3.

5 0

2 years ago

How do I do this 7:13 21:39

GarryVolchara [31]

That is a ratio. 7 x 3 = 21 and 13 x 3 = 39.

5 0

3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

3 years ago

Read 2 more answers