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
yKpoI14uk [10]
2 years ago
7

6. The vertices of ALMN are L(7,4), M(7,16), and

Mathematics
1 answer:
max2010maxim [7]2 years ago
4 0

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

(c) 210 square units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units

Length LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units

LengthMN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

Therefore, A=0.5*12*35= 210 square units

You might be interested in
Convert the equation into slope-intercept form 2x+3y=9
SVETLANKA909090 [29]
Convert the equation into slope-intercept form 2x+3y=9

8 0
3 years ago
SAT Math Question
mariarad [96]

I'm tentatively changing my answer to say this kind of relies on practical knowledge of how stores tend to operate. If 20 coupons are given out, the store has sold all 500 shirts, arguably at a loss to the retailer. They have to have more shirts in stock to be sold at full price because, well, that's how they make money. It's more likely that such a store would carry more than just 500 shirts at the start of each day, so A is (probably) wrong.

5 0
1 year ago
What number is 100,000 more than 75,000 and explain how u got answer
alina1380 [7]
100,000 + 75,000 = 175,000. To get the answer, you add the two.
6 0
3 years ago
g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len
vredina [299]

Answer:

-\frac{10}{3}ft/s

Step-by-step explanation:

We are given that

Height of man=5 foot

\frac{dy}{dt}=-10ft/s

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

\frac{20}{5}=\frac{x+y}{x}

4=\frac{x+y}{x}

4x=x+y

4x-x=y

3x=y

3\frac{dx}{dt}=\frac{dy}{dt}

\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=-\frac{10}{3}ft/s

7 0
3 years ago
45 divided by 2531 HELP IDK HOW TO DO THIS.
SpyIntel [72]
 0.017779534 because you just divide it
3 0
3 years ago
Other questions:
  • n the sequence $121, 1221, 12221, \dots ,$ the $n$th number consists of $n$ copies of the digit $2$, surrounded by two $1$s. How
    5·2 answers
  • Solve the following equation.<br> c/4 = 12​
    5·1 answer
  • Lebron James and Steph Curry went up against each other in the NBA finals. Lebron scored 2 points every 3 minutes, and Curry sco
    14·1 answer
  • Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
    5·1 answer
  • Julie wrote the rate $108 in 6 weeks as a unit rate. Find her mistake and correct it.
    15·1 answer
  • 6(3n+1)-3(-1+2n)=n+2
    10·1 answer
  • Solve 4^(2x) = 7^(x−1).
    14·1 answer
  • What is the measure of YXZ
    10·1 answer
  • Express 108 as a product of it prine factors
    15·1 answer
  • Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per perso
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!