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
qaws [65]
3 years ago
7

The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
4 0

Answer:

8

Step-by-step explanation:

x(x+6)/2=56

x^2(6x)=112

x^2(6x)-112=0

By trial and error, we can try base =1, height = 7, etc

base =8

height = 14

You might be interested in
Find the product of (3x-8) and (-2x+3)
Inessa [10]
(3x-8)(-2x+3)
-6x+9x+16x-24
3x+16x-24
19x-24


7 0
3 years ago
When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is...
enot [183]

Answer:

c. \frac{1}{\pi}

Step-by-step explanation:

We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units

We will use derivatives to solve our given problem.

We know that area (A) of a circle is equal to A=\pi r^2.

Let us find derivative of area function with respect to time.

\frac{dA}{dt}=\frac{d}{dt}(\pi r^2)

Bring out constant:

\frac{dA}{dt}=\pi \frac{d}{dt}(r^2)

Using power rule and chain rule, we will get:

\frac{dA}{dt}=\pi(2r)* \frac{dr}{dt}

\frac{dA}{dt}=2\pi r*\frac{dr}{dt} Here \frac{dr}{dt} represents change is radius with respect to time.

We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:

\frac{dA}{dt}=2\frac{dr}{dt}

2\pi r* \frac{dr}{dt}=2\frac{dr}{dt}

2\pi r=2

\frac{2\pi r}{2\pi}=\frac{2}{2\pi}

r=\frac{1}{\pi}

Therefore, the radius is \frac{1}{\pi} and option 'c' is the correct choice.

6 0
3 years ago
Define and compare radian measure to degree measure
Lelechka [254]
Radian: is the standard unit of angular measure, used in many areas of mathmatics.
degree: is a measuement of plane angle, defined by representing a full rotation as 360 degrees.

Both are two units for measuring angles. There are at least four such units, but degrees and radians are most likely to encounter high school and college.
7 0
3 years ago
The volume of a cylinder is 576 cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?
Ede4ka [16]

Answer:

11.46 inches

Step-by-step explanation:

h=V

πr2=576

π·42≈11.45916in

(round)

4 0
3 years ago
Read 2 more answers
Write (9x-5y)(2x+3y) as a polynomial
marta [7]
(9x - 5y)(2x + 3y)
9x(2x + 3y) - 5y(2x+ 3y)
9x(2x) + 9x(3y) - 5y(2x) - 5y(3y)
18x² + 27xy - 10xy - 15y²
18x² + 17xy - 15y²
6 0
3 years ago
Other questions:
  • Witch of the following best describes the slope of the line below ​
    10·2 answers
  • How many real does this 2x^2-5x+3=0 equation have
    11·1 answer
  • Is this correct not that sure
    15·1 answer
  • Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. The table shows
    5·2 answers
  • Which angles are corresponding angles?
    10·2 answers
  • If you apply the changes below to the reciprocal parent function, F(x) =
    7·1 answer
  • ASAP!!!!!! Factor the trinomial x^2 + 7x + 12
    5·2 answers
  • NEED HELP THANKS IN ADVANCE.
    15·2 answers
  • The slope of the line containing the points (-5,3) and (-2,1) is<br> A.-3/2<br> B.-2/3<br> C.2/3
    7·1 answer
  • 35<br> 7= __<br> w<br><br><br> PLEASE HELP!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!