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
Maru [420]
3 years ago
11

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

meters, what is the length of the base, in centimeters?
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

You might be interested in
What is the unit rate?? Seven notebooks at the school supply store cost $4.76.
Katena32 [7]
You divide 1 by 4.76 and you get 0.21 as your main answer
6 0
3 years ago
Read 2 more answers
I need help. It's kinda hard for me. We have to use decimal numbers
cestrela7 [59]

Answer: 2.4 + 7.6 = 10

Step-by-step explanation:

Hope this helps

5 0
3 years ago
A red gumball is 2 5/8 Inches across. A green gumball is 2 5/6 inches across and a blue gumball in 2 7/9 inches across. list the
Masteriza [31]

Answer: 5 8 7 9 5 6

Step-by-step explanation:

Because you go by which is closer to the denominator

8 0
3 years ago
Which expression is equivalent to (x^2 -8) - (-2x^2+4)?​
Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0
3 years ago
Can someone help me please, thanks.
Natasha2012 [34]
No it won’t work sorry for the concierge room
3 0
3 years ago
Other questions:
  • A dose if medicine is 1.5 mL. how many doses ate in a bottle with 45 mL?
    5·1 answer
  • Find the slope of the line (Image attached)<br><br> A) 5<br> B) -5<br> C) 1/5<br> D) -1/5
    8·2 answers
  • How do i divide 4/9 divided by 15/8
    11·1 answer
  • In the image shown, line n is a transversal cutting parallel lines l and m.
    9·1 answer
  • a data set consists of these points (2, -4), (4, -7), (5, -12), Elisa found the regression equation to be y = 2.5x + 1.5 is she
    9·1 answer
  • According to the Rational Root Theorem, the following are potential roots of fu) = 8042-572-18
    6·1 answer
  • 65.656<br> 36,699<br> 33.335<br> +66,668
    7·1 answer
  • Find the value of the underlined 10,698 under lined digit is 9
    11·1 answer
  • Can someone please help? U get points just from typing and I would really appreciate it.
    11·2 answers
  • 83 , 64, 46, 48, 523, 35, 34, 265, 2484, 46, 385, 21, 86, 429, 51, 258, 119 the mean of this value is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!