1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galben [10]
3 years ago
12

Write an equation: The sides of a rectangle are x and ( x - 4 ). The perimeter is 87

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

The perimeter of a rectangle, is all of the sides added up.

In a rectangle, there are two widths (right and left), and two lengths (up and down)

So:

Perimeter = 2 × width + 2 × length.

To get the equation we just substitute in the values that we are given:

length = (x)

width = (x - 4)

perimeter = 87

So just put these values into:  perimeter = 2 × width + 2 × length:

87  =  2(x) + 2(x - 4)

_____________________________

Answer:

The equation is:       87 = 2(x) + 2(x - 4)

<em>(note: this can be simplified down like so:</em>

<em>87 = 2x + 2x - 8</em>

<em>87 = 4x - 8</em>

<em>95 = 4x</em>

23.75 = x    

)

You might be interested in
Move two match sticks to make squares.
Rasek [7]

Answer:

The one in the middle and the one on the right?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An investment company pays 8​% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit
Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
3 years ago
HELP WITH THE QUESTIONS
tatuchka [14]
1 is 10 dimes that is what I’ll do
3 0
2 years ago
What is the solution to the equation?<br> 1/8 = m/32
inna [77]

Answer:

m=4

Step-by-step explanation:

1/8=m/32

cross product

8*m=1*32

8m=32

m=32/8

m=4

8 0
3 years ago
A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t
gladu [14]

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

5 0
3 years ago
Other questions:
  • HELPPPPPP PLZ. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
    10·1 answer
  • During the month of February, Fabulous Feet Shoe Mart sold 50 pairs of red loafers. After an ad campaign to boost sales, they so
    5·1 answer
  • The formula to convert temperature in Celsius to Fahrenheit is F= 9/5C+32. Solve for C<br> C= ?
    10·1 answer
  • During last year Adam's height increased from 125 cm to 135 cm. By how many percents did it change?
    11·2 answers
  • Solve the equation and check your solution. 5 t = 7 and one-half Multiply 5t by 5; the answer is 7 and one-half. Divide 5t by 5;
    15·2 answers
  • Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
    5·1 answer
  • 10<br> 8<br> - 10<br> 10<br> - 10<br> 2 - 2 = 64
    7·1 answer
  • What ratio is equivalent to 80:88
    7·2 answers
  • Someone please help me with number 10 and 16 I’m lost I tried to figure it out on my own but couldn’t
    7·1 answer
  • The total cost of lunch is $3.50, consisting of a juice, a sandwich, and a pear. The juice cost 1.5 times as much as the pear. T
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!