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
sergeinik [125]
2 years ago
5

The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square fe

et, find its height and the length of the base.
Mathematics
1 answer:
Dima020 [189]2 years ago
3 0

Step-by-step explanation:

It is given that,

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

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

You might be interested in
What is -20.3-14.34?
djyliett [7]

Answer:

-34.64

Step-by-step explanation:

-20.3-14.34

-34.64

8 0
3 years ago
According to the ASA theorem, which of the following sets of relationships can be used to show that VRT and STR are congruent?
irina [24]

Answer:

C. ∠SRT≅∠VTR and ∠STR≅∠VRT

Step-by-step explanation:

Given:

Quadrilateral is a parallelogram.

RS║VT; RT is an transversal line;

Hence By alternate interior angle property;

∠SRT≅∠VTR

∠STR≅∠VRT

Now in Δ VRT and Δ STR

∠SRT≅∠VTR (from above)

segment RT= Segment RT (common Segment for both triangles)

∠STR≅∠VRT (from above)

Now by ASA theorem;

Δ VRT ≅ Δ STR

Hence the answer is C. ∠SRT≅∠VTR and ∠STR≅∠VRT

7 0
2 years ago
Geometry help please?
scZoUnD [109]
A) All angles are right angles, opposite sides are parallel, opposite sides are congruent
b) All sides are congruent
c) opposite sides are parallel
d) all sides are congruent
4 0
3 years ago
Read 2 more answers
Why are parabolsas used for
JulsSmile [24]

Answer:

Parabolas are frequently used in physics and engineering for things such as the design of automobile headlight reflectors and the paths of ballistic missiles. Parabolas are frequently encountered as graphs of quadratic functions.

8 0
3 years ago
Read 2 more answers
Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o
marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Putting the values we get

(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})

Putting respective elements equal

\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1

Hence,

The coordinates of other point are: (5,1)

8 0
2 years ago
Other questions:
  • Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 11 chairs left o
    11·2 answers
  • Triangle ABC has side lengths: AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm ΔABC ≅ ΔHJK What is the length of side HJ?
    13·1 answer
  • 2/9n + 1/2 = 2/3(n+3) what does n equal?
    10·1 answer
  • A plant grows 3 centimeters in 10 days. How much does it grow per day?
    7·2 answers
  • 4. At the beginning of this month, Paul had $1004.21 in digital money. So far this month he has made
    7·1 answer
  • What is 2x minus negative x
    12·1 answer
  • Pls help me with this homework see the picture pls thanks
    12·1 answer
  • 8.7÷0.5-(-5)2.2.4+(7+9)​
    12·2 answers
  • Use the distributive property and combine like terms to simplify: 4(6x−4)−3(5x+1).
    6·2 answers
  • Whcich expression are equivialant to the one below 3^4*3^x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!