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
zvonat [6]
1 year ago
13

The base of a triangle is 3 more than 2 times of height. Determine the dimensions that give total area of 10 square feet.

Mathematics
1 answer:
Alona [7]1 year ago
3 0

Answer:

height = 2.5 ft , base = 8 ft

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

height = h then base = 2h + 3 and A = 10 , then

\frac{1}{2} h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )

h(h + 3) = 20 , that is

h² + 3h = 20 ( subtract 20 from both sides )

h² + 3h - 20 = 0 ← in standard form

(h + 4)(2h - 5) = 0 ← in factored form

equate each factor to zero and solve for h

h + 4 = 0 ⇒ h = - 4

2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5

but h > 0 , then h = 2.5

and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8

that is height = 2.5 ft and base = 8 ft

You might be interested in
(02.06)How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)​
Veseljchak [2.6K]

Answer:

5500 pounds

Step-by-step explanation:

if you mean 2¾

in 2 tons there's 4000 pounds

in ¾ of a ton there is 1500 pounds

4000 + 1500 = 5500 pounds

3 0
2 years ago
Please help me out with this
andre [41]

Answer:

\huge\boxed{\sqrt[3]{c^4}=c^\frac{4}{3}}

Step-by-step explanation:

\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\text{therefore}\\\\\sqrt[3]{c^4}=c^\frac{4}{3}

5 0
3 years ago
-6x-7=3x+11 how to solve this problem
Shalnov [3]
You have to get the x to one side so you'll subtract 3x from -6x and 3x from 3x, the 3x will cancel out and -6x - 3x is -9x-7=11, you have to add 7 from both sides the 7+7 cancels out  and also add 11+7 which leaves -9x=18, you have to divide -9x/-9 and do 18/-9, which gets you x=-2. Here's the work shown if you didn't what i said...
-6x-7=3x+11
-3x    -3x
-9x-7=11
    +7  +7
-9x=18
-9   -9
x=-2
6 0
3 years ago
There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n
Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

<u>1) Translate the information into equations</u>

"One is 7 more than twice the other"

⇒ y=2x+7

"The sum of the numbers is 43"

⇒ x+y=43

<u>2) Use substitution to solve for the smaller number</u>

x+y=43

Plug the equation y=2x+7 into the above equation

x+(2x+7)=43\\x+2x+7=43\\3x+7=43

Subtract both sides by 7

3x+7-7=43-7\\3x=36

Divide both sides by 3 to isolate x

\frac{3x}{3} = \frac{36}{3} \\x=12

Therefore, the smaller number equates to 12.

<u>3) Use substitution to solve for the greater number</u>

x+y=43

Plug in x as 12

12+y=43

Subtract both sides by 12 to isolate y

12+y-12=43-12\\y=31

Therefore, the greater number equates to 31.

I hope this helps!

3 0
3 years ago
Explain how to find the lower quartile of a box-and-whisker plot.
elena55 [62]
C. The lower quartile (of a box-and-whisker plot) is the median of the lower half of the data.
Also referred to as "Q1"
6 0
3 years ago
Read 2 more answers
Other questions:
  • SOMEONE PLEASE HELP ME OUT
    14·1 answer
  • Mary covered her kitchen floor with
    5·1 answer
  • Solve the proportion 15t/5=2t +3 /6.
    13·1 answer
  • Jackson has a rope 1 foot 8 inches long. He cuts it into 4 equal pieces. How many inches long is each piece?
    8·1 answer
  • Simplify this algebraic expression, please!
    6·1 answer
  • 8. The distribution for the time it takes a student to complete the fall class registration has mean of 94 minutes and standard
    8·1 answer
  • Simplify the expression:<br> 5(-1 + x) =
    15·2 answers
  • Join meeting link will be in comments
    6·2 answers
  • Which statement is true based on the information given on the coordinate plane select all that apply
    9·1 answer
  • Roberto and Maria Santanos spend approximately $11.50 per week to wash and dry their family's clothes at a local coin laundry. A
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!