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
irina [24]
3 years ago
8

The diagram below shows the rectangle PLUM.

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = \frac{36}{8}

AM = 4.5 units

Area of PLM = \frac{1}{2}(\text{Base})(\text{height})

                     = \frac{1}{2}(ML)(AP)

                     = \frac{1}{2}(8 + 4.5)(6)

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

You might be interested in
Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How
sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - \frac{rate}{100} )

or, The new amount paid to mechanics per hour =  $ 20 × ( 1 - \frac{5}{100} )

I.e The new amount paid to mechanics per hour =  $ 20 × 0.95

∴ The new amount paid to mechanics per hour =  $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

7 0
3 years ago
5+5=−10<br><br><br> 1.p=1<br><br> 2.p=3<br><br> 3.p= -3<br><br> 4.p= -1
Black_prince [1.1K]
The answer is 1

thank me later
6 0
3 years ago
0. A local lawn service charges $6.00 per cut plus $2.50 per gallon of gas
xenn [34]

Answer:

C = 6 + 2.5g

Step-by-step explanation:

A local lawn service charges $6.00 per cut plus $2.50 per gallon of gas  used.

If in a cut g gallons of gas is used then, the cost for gas used will be $2.5g and there is a fixed charge of $6.00 per cut.

Therefore, in total the cost per cut becomes 6 + 2.5g and if we represent the total cost as C, then we can write  

C = 6 + 2.5g. (Answer)

3 0
4 years ago
Find the value of x. Then find the measure of each labeled angle.<br> (4x + 12)<br> (In picture)
Lelechka [254]

Answer:

(4x+12)=90

x= 19.5

Step-by-step explanation:

3 0
3 years ago
A flower store sells carnations for $18.50 per dozen. The sales tax is 6%. Part A: How much is the sales tax on a dozen carnatio
myrzilka [38]
Part A.

*To find the sales tax (6%) amount: $18.50 x .06 = $1.11 is the sales tax on a dozen carnations

Part B. 

*To find the total cost of a dozen carnations plus the sales tax: $18.50 + $1.11 = $19.61 this is the total cost
8 0
3 years ago
Other questions:
  • Find the sum of the positive integers less than 200 which are not multiples of 4 and 7​
    7·1 answer
  • A building in a city has a rectangle base. The length of the base measures 70 feet less than three times the width. The perimete
    7·1 answer
  • Which one is correct?
    14·2 answers
  • Coin
    15·1 answer
  • Sam had $39 to buy Christmas presents for his family. He bought a $12 T-shirt for his sister , an $18 dollar bracelet for his mo
    9·2 answers
  • What is the area of the trapozoid? pls help :)
    10·1 answer
  • What is the colon form? :)​
    7·1 answer
  • Use the function f(x) = –2|5-x| – 13 to evaluate f (6).
    11·1 answer
  • How many different triangles can you make if you are
    9·1 answer
  • Express 1/243 as a power
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!