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
prohojiy [21]
3 years ago
8

The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

width 5

length 7

Step-by-step explanation:

W * L = 35

L = 4 * W - 13

W * (4W-13) = 35

4 W^2 - 13 W - 35 = 0

delta = 169 + 4*4*35 = 729 = 27^2

W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)

L = 4 * 5 - 13 = 7

You might be interested in
If A = (0, 0) and B = (6, 3), what is the length of ? A.7.73 units B.6.24 units C.5.20 units D.6.71 units
ExtremeBDS [4]
Given two points A(x₁,y₁) and B(x₂,y₂) the distance betwen these points will be:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²].

We have these points: A(0,0) and B(6,3); its distance will be:

dist(A,B)=√[(6-0)²+(3-0)²]
=√(6²+3²)
=√(36+9)
=√45 ≈ 6.71

Answer:  D.    6.71 units.
5 0
3 years ago
Read 2 more answers
Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot? f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript
PIT_PIT [208]

Answer:

  f(x)=4\sqrt[3]{16}^{2x}

Step-by-step explanation:

We believe you're wanting to find a function with an equivalent base of ...

  4\sqrt[3]{4}\approx 6.3496

The functions you're looking at seem to be ...

  f(x)=2\sqrt[3]{16}^x\approx 2\cdot2.5198^x\\\\f(x)=2\sqrt[3]{64}^x=2\cdot 4^x\\\\f(x)=4\sqrt[3]{16}^{2x}\approx 4\cdot 6.3496^x\ \leftarrow\text{ this one}\\\\f(x)=4\sqrt[3]{64}^{2x}=4\cdot 16^x

The third choice seems to be the one you're looking for.

9 0
3 years ago
Read 2 more answers
Find the volume of the prism.
Zigmanuir [339]

Answer:

The correct answer is first option.  270 m³

Step-by-step explanation:

Formula:

Volume of prism = Base area * Height

Area of triangle = bh/2  where b - base and h - height

From the figure we can see that height of prism = 36 m

Base is a right angled triangle with base 5 m and height = 3 m

<u>To find the Base area</u>

Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5

<u>To find the volume of prism</u>

Volume = Base area * height = 7.5 * 36 = 270 m³

Therefore the correct answer is first option . 270 m³

7 0
3 years ago
Read 2 more answers
The diameter of a circular chip is doubled to use in a new board game. The area of the new chip will be
nikitadnepr [17]

Answer: A_2=\frac{\pi(2D)^{2}}{4}


Step-by-step explanation:

1. You have the following formula for calculate the area of the original circular chip:

A_1=\frac{\pi(D)^{2}}{4}

Where D is the diameter of the circle.

2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

A_2=\frac{\pi(2D)^{2}}{4}


7 0
3 years ago
Read 2 more answers
Part one: How do you solve a system of equations approximately using graphs and tables?
tatiyna
This problem can be solve by graphing (technology), as suggested. 
The answer is posted as an attached image.  We see that after about 14.75 years, the invading species will surpass the indigenous population.

If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75.  It is easier than you might think.

Post if you would like to have more information on one or the other methods.

Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.

5 0
3 years ago
Other questions:
  • Perimeter of 14 and 4x+5
    5·1 answer
  • A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms . The ball's height h (in meters) af
    14·1 answer
  • Simplify completely 3x2 + 21x - 54/ x2 + 3x - 54
    15·1 answer
  • Your school's drama club charges $4 per student for admission to Our Town. The club borrowed $400 from parents to pay for costum
    15·1 answer
  • As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is
    15·1 answer
  • Please please someone help
    14·2 answers
  • I NEED HELP ASAP PLEASE! ​
    11·1 answer
  • Describe the transformation of f(x) to g(x).<br>(answers and graph in picture) PLSSSS HELP ​
    9·1 answer
  • When Cecily Tynan graphed today's snowfall, her line had a slope of 1/3.<br> What does this mean?
    12·1 answer
  • The restaurant ordered small pictures and large pictures to decorate the restaurant. 6 times as
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!