answer.
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
torisob [31]
2 years ago
11

The height of a triangular road sign is 1 inch shorter than twice its base. if the area of the sign is 60 in.2, which equation c

ould be used to find the base (b) of the sign?
Mathematics
1 answer:
Gnom [1K]2 years ago
6 0
Comment
We should try the very simplest way of finding triangular areas first.

Formula
A = 1/2 b * h

Substitute
Area = 60 in^2
b = x
h = 2x - 1 
60= 1/2 * x * (2x - 1)

Solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Remove the brackets.
120 = 2x^2 - x  Subtract 120 from both sides.
2x^2 -  x - 120 = 0 This factors.
(2x + 15)(x - 8) = 0

Solve for x
2x + 15 = 0
2x = - 15
x = -15/2
x = - 7.5 a negative measurement is useless. Discard this answer.

x - 8 = 0
x = 8 

Area (Check)
base = 8
height = 16 - 1 = 15

Area = 1/2 * 8 * 15 = 60 as it should

Answer
Use Area = 1/2 * b * h to find the base and the height.
You might be interested in
the jacksons went camping in a state park.One of the tents they took is shown . What is the volume of the tent.
IrinaK [193]
The jacksons went camping in a state park. one of the tents  they took is shown.what is the volume of the tent?

8 0
2 years ago
The height of a grain of a cylindrical silo is is increasing at a constant rate of 4 feet per minute At what rate is the volume
Dafna11 [192]
The answer is 2 min and 30 sec
7 0
2 years ago
Implicit information requires the reader to combine details from the text with background knowledge to make a(n) . -guess -theor
klio [65]
The correct answer that would best complete the given statement above would be the third option: INFERENCE. <span>Implicit information requires the reader to combine details from the text with background knowledge to make an inference. An inference is a conclusion that is based on evidence or reasoning. </span>
3 0
2 years ago
Read 2 more answers
HELP PLEASE. Which regression equation best fits these data?
AlladinOne [14]

Answer:

B. y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.

The second choice is appropriate.

_____

The other choices are ...

A. a parabola opening upward

C. an exponential function decaying toward zero on the right and tending toward infinity on the left

D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)

7 0
2 years ago
Read 2 more answers
Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared t
GuDViN [60]

Answer:

There is a 45.05% probability that the selected person is a right-handed female.

Step-by-step explanation:

We have these following probabilities

A 50% probability that a person is a male

A 50% probability that a person is a female.

A 12.6% probability that a male is left-handed.

A 9.9% probability that a female is left-handed.

If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:

50% are female.

9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.

So

P = 0.5*0.901 = 0.4505

There is a 45.05% probability that the selected person is a right-handed female.

3 0
2 years ago
Other questions:
  • AC, DF, and GI are parallel. Use the figure to complete the proportion.
    6·2 answers
  • 5% of people receiving your email opened it. 1% of people receiving your email click a link. Of those who opened the email, what
    7·2 answers
  • An elevator starts at the 6th floor. It goes up 7 floors twice, and then it goes
    7·2 answers
  • Which of the following are exterior angles? Check all that apply.
    6·2 answers
  • A woman who is 64 inches tall has a shoulder width of 16 inches. How tall is a woman who has a shoulder width of 18.5 inches?
    7·1 answer
  • Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u
    5·1 answer
  • A concert venue offers tickets in 333 zones: orchestra, grand tier, and balcony. Tickets in the orchestra zone are most expensiv
    5·1 answer
  • The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5mi
    6·1 answer
  • A researcher takes a random sample of 2,496 drivers and finds that 1,603 put their phone in "drive mode” to not be distracted wh
    14·1 answer
  • Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!