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
defon
3 years ago
11

The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

You might be interested in
− <br> 1<br> ​ <br> + <br> −81<br> ​ <br> − <br> 16<br> ​ <br> − <br> −1<br> ​
Nataliya [291]

Answer: it is -97

Step-by-step explanation:

because you break it down

-1-81-16+1 ( and the -- turns into a + )

( get rid of the + )

3 0
3 years ago
If three hats cost 24.30 how much is 1 hat
Katen [24]
Just cross multiply basically divide

5 0
3 years ago
Can someone tell me step by step how to solve this?
sasho [114]

Answer:

Step-by-step explanation:

I take it that this is some sort of ratio.  Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

Brackets: 10/30 - 3/30

Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900  - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

\frac{\frac{-131}{900} }{\frac{4}{25} }

Which when you invert and multiply becomes

\frac{-131}{900} * \frac{25}{4}

which finally becomes

\frac{-131}{144}

7 0
3 years ago
2 angles measure 40 degrees each, what does the third angle measure? what type of triangle is it?
zimovet [89]

Answer:

Part a): 100 degrees

Part b): Isosceles Triangle

Step-by-step explanation:

Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.

180 - 80 = 100

Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.

3 0
3 years ago
Is 5359 divisible by 4
amid [387]

Answer:

1339.75

Step-by-step explanation:

No, you will have remainder.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Best estimate for the product of 2,704.241 ×165.9
    15·1 answer
  • what are the steps required to determine the equation of a quadratic function given its zeros and a point?​
    8·1 answer
  • canada has a population that is about one tenth as large as the united states. if canada's population is about 32 million about
    9·1 answer
  • Specifications for a part for a DVD player state that the part should weigh between 24 and 25 ounces. The process that produces
    12·1 answer
  • I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
    10·2 answers
  • A sofa is 900 more than the price of c which system of equation can be used to find price of each piece
    14·1 answer
  • Solve 0=2y−8x+10 for y
    7·1 answer
  • Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?
    8·1 answer
  • Which graph represents the polynomial function?<br><br> f(x)=−x3+x2+9x−9
    14·1 answer
  • Suppose f(x, y) is a differentiable function of x and y and let g(r, s) = f (2rs, 8s − 2r). Use
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!