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
Firlakuza [10]
2 years ago
9

The area of a rectangular pool was 120square meters. If the long side in 7 meters plus a number and the width is 6 meters. What

is the value of the variable?
Mathematics
1 answer:
NeX [460]2 years ago
8 0

Answer:

The value of the variable=13 meters

Step-by-step explanation:

Step 1

Express the dimensions of the pool

Length=7+x

width=6

Step 2

Express the area of a rectangle as shown;

A=L×W

where;

A=area of a rectangle

L=length of the rectangle

W=width of the rectangle

In our case;

A=120 m²

L=x+7

W=6

replacing in the equation;

120 m²=(x+7)×6

120=6 x+42

6 x+42=120

6 x=120-42

6 x=78

x=78/6

x=13

The value of the variable=x=13 meters

You might be interested in
6 ÷ 1/7 equals what?
Mazyrski [523]
42 because you have to multiply the reciprocal
5 0
3 years ago
Read 2 more answers
Please help (Determine the slope of the line. Show the work you did to find the slope.)
Scrat [10]

Answer:

slope of line is 3/5

Step-by-step explanation:

slope is the ratio of the change in the y-values over the change in the x-values

in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5

if you go from pt B to pt C, you rise by 6 and go to the right by 10

however, 6/10 can be reduced to 3/5

if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)

change in y-values is 5-2 or 3

change in x-values is 5-0 or 5

(5-2)/(5-0) = 3/5

3 0
3 years ago
The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th
insens350 [35]

Answer: a = 8;  b = 15;  c = 17

Step-by-step explanation:

c = b + 2  and c = 2a + 1

b = c − 2 and a =  \frac{c-1}{2}

​

c² = b² + a²  

c^{2} = (c-2)^{2} + \frac{c-1}{2}\\

c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2}  }{4}

4c^{2}={4 (c^{2} + 4 -4c)+c ^{2}  + 1-2c

4c^{2}={4 c^{2} + 16 -16c)+c ^{2}  + 1-2c

c^{2}-18c+17=0

c(c -17)-1(c-17)=0

​(c -1)(c-17)=0

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = \frac{17-1}{2}  = 8

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0
3 years ago
Q1.The cost of $16.50 for the music was reduction of 12% on the original cost.
NNADVOKAT [17]
Q1) £16.50 x 1.12 = £18.48
Q2)

2+9+1= 12
3h 33m = 213m
213/12 = 17.75
2x17.75 = 35.5 (music)
9x17.75 = 159.75 (films)
1x17.75 = 17.75 (books)

So it’s 159.75 minutes for the films to download
7 0
3 years ago
Which side lengths form a right triangle?
mr Goodwill [35]

B: 8,15,17

These lengths forms a

right angle triangle.

4 0
3 years ago
Other questions:
  • Please help and thank you!
    13·1 answer
  • What percent of 48 is 36
    7·2 answers
  • Maria had a spool of ribbon 68 inches long. She cut the ribbon into 8 equal-length pieces. How long was each piece of ribbon? Za
    7·1 answer
  • 2a² - a - 13 =2 I want to see the steps how its done​
    7·1 answer
  • Round each decimal to the nearest whole number.<br> 3.8 using a number line
    7·1 answer
  • Plane hkp and plane rkp are two distinct planes. name the intersection of plane hkp and plane rkp.
    8·1 answer
  • I spent $6 and my friend spent 1 1/4 more than I did...how much more than me did she spend?
    10·1 answer
  • Sydney has a bag of stuffed animals containing, 1 elephant, 4 bears, 3 cats, and 2 dogs. If she randomly selects 1 stuffed anima
    6·1 answer
  • !!!PLEASEEEE HELP!!!!!
    14·1 answer
  • How much is a square mile
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!