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
Troyanec [42]
2 years ago
8

A triangle has an area of 64 square feet. If the height of the triangle is 8 feet more than its base, x, what are its height and

base?
Mathematics
1 answer:
Nitella [24]2 years ago
7 0

Answer:

8 feet

Step-by-step explanation:

Given data

Area= 64 square feet

Base= x feet

Height= x+8 feet

The expression for the area

A= 1/2b*h

substitute

64= 1/2*x*(x+8)

64= 1/2*x^2+8x

64= (x^2+8x)/2

cross multiply

64*2= x^2+8x

128= x^2+8x

rearrange

x^2+8x-128= 0

using the quadratic formula

a=1

b=8

c=-128

x= -b±√b^2-4ac/2a

x= -1±√8^2-4*1*-128/2*1

simplifying

x= 8

x=-16

Hence the height of the base is

h= 8 feet

You might be interested in
Which type of graph shows data points plotted and connected by line segments?
faust18 [17]

Answer:

D. a line graph

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Identify a solution to this system of equations -4x+3y=23, x-y=-7
Komok [63]

bearing in mind that a solution to a system of equations is where their graph intersect or meets, Check the picture below.

6 0
3 years ago
How long would it take to travel 315 mi at the rate of 45 mi/h ?
nirvana33 [79]
7 Hours. 315 divided by 45 equals 7. 
5 0
3 years ago
Read 2 more answers
The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
6 0
3 years ago
Hi I really need help
denis-greek [22]

To solve this, you can first solve each expression:

35 / 6 = 5.83333

5 + 3/10 = 5.3

5 = 5

35 / 10 = 3.5

15 / 5 = 5

5 + 5/6 = 5.8333333

3 = 3

10 * 1/2 = 5

So, the tiles of 5, 15*1/5, and 10*1/2 all equal 5.

The tiles of 35/6 and 5+5/6 equal 5.83333.

The remaining tiles to not have matches.

4 0
3 years ago
Read 2 more answers
Other questions:
  • [5 -15]<br> [25 -20]<br> [-35 30]
    14·1 answer
  • Carol is three times older than andrew. brad is two years older than andrew. in six years, the sum of andrew’s and brad’s ages w
    8·1 answer
  • which one of following statement expresses a true proportion 3:4=9:12 b. 2:1=1:2 c. 7:9=8:9 d. 54:9=6:3
    8·1 answer
  • Helpppppppppppppppppp
    12·1 answer
  • 2x - 1 = 0 is a quadratic equation. <br> True False
    15·2 answers
  • This should be easy for you <br> Please help me
    11·1 answer
  • A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder the person is 9' from the wal
    14·1 answer
  • BRAINLIEST GURANTEED ON 4 and em
    8·1 answer
  • Solve the following for y:<br> p(t + 4) = 2y
    7·1 answer
  • QUESTION 21 ✓ Round 5 1/3 to the nearest whole number?<br>​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!