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
At the first pep rally of the season, the football team and the volleyball team were presented to the student body. During the p
Darina [25.2K]

Answer:

A. f + y ≤ 11

17f + 287 ≤ 242

Step-by-step explanation:

[] Let <em>f</em> be football players and <em>v</em> be volleyball players.

-> The total time must be less than or equal to 242 seconds.

-> If football players talked for 17 seconds, we can write it as 17f.

-> If volleyball players talked for 28 seconds, we can write it as 28v.

[] Coming back to the first point I made, the total time must be less than or equal to 242 seconds.

-> 17f + 28v ≤ 242

[] This is going to be a part of our system of inequalities

-> Because of this, we rule out the following options.

B & D - the football players talk for 17 seconds, not the volleyball players

C ​ - not less than or equal too, only less than

[] This leaves us with the option of A.

-> The first part of it also works. If 11 players can talk to the crowd, then the total of f and v must be equal too or less than 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

5 0
3 years ago
Y = 1/4x<br><br> x + 4y = 8<br> pls help
butalik [34]

Answer:

the answer its 3

Step-by-step explanation:

7 0
3 years ago
Explain what independent and dependent variables mean
g100num [7]

Answer:

please give me brainlist and follow

Step-by-step explanation:

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

3 0
3 years ago
The cost of a Black Forest cake at two bakeries is as follows: Julie's Bakery: cost $15, delivery charge $0.20 per mile; Bakers
Otrada [13]
15 + 0.2x = 20 + 0.15x
0.05x = 5
x = 100 miles
7 0
3 years ago
Please help me points and brainliest
mrs_skeptik [129]

Answer:

1/2

D

Step-by-step explanation:

slope = \frac{rise}{run} = \frac{2}{4} = \frac{1}{2}

\frac{2}{4} = \frac{3}{6}  Same ratio. Both reduce to \frac{1}{2}

5 0
3 years ago
Other questions:
  • What is the the answer to 340; 20% decrease
    11·1 answer
  • If 450g of flour is used for 3 pies how much is used for 4 cakes
    15·2 answers
  • Which is an equation of the line with a slope of 1/4 and a y-intercept of -2
    12·2 answers
  • Which is greater |60| or |-60|
    5·2 answers
  • Name two integers whose product is negative.
    12·1 answer
  • Rectangle ABCD has coordinates A (2, -5), B (-1, -5) and C (-1, -1). What are the coordinates of point D?
    5·1 answer
  • The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.
    5·1 answer
  • Cards in a pack are black or red in the ratio
    5·1 answer
  • Is this proportional?
    15·2 answers
  • P=(m+n)/-5 solve for n
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!