A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 295 square yards. The situation is modeled by the equation h^2 + 5h = 295. Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard. A: 17.36 yards
B: 600 yards
C: 14.86 yards
D: 29.71 yards
Answers
Answer:
The height is 14.86 yards ⇒ answer C
Step-by-step explanation:
* Lets explain how to solve the problem
- The flower garden in the shape of a trapezoid
- The shorter base to be 3 yards greater than the height
- The longer base to be 7 yards greater than the height
- The area must be 295 square yards
- The situation is modeled by the equation h² + 5h = 295
- We want to find the height that will give the desired area by using
the quadratic formula
- The quadratic formula is ,
where a is the coefficient of h² and b is the coefficient of h and c
is the numerical term
- The equation of the area is h² + 5h = 295
∵ h² + 5h = 295
- Subtract 295 from both sides
∴ h² + 5h - 295 = 0
- Lets find the values of a , b and c from the equation
∵ a = 1 , b = 5 , c = -295
∴
∴
∴
- OR
∴
- The dimensions of any figure must be positive value, then we will
neglect the negative value of h
∴ h = 14.86
* The height is 14.86 yards
Answer:
C: 14.86 yards
Step-by-step explanation:
to solve a quadratic equation we need to make it equal to zero and then use the Quadratic Formula
having
we have
a=1
b=5
c=-295
the answers for the formula are
h=14.85 and h=-17.36
as we are looking for a distance we can only take the positive answer, then
h=14.85
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Answers
Answer:
3.6
Step-by-step explanation:
Answers
Answer:
good questiion
Step-by-step explanation:
(x + 9)(x - 1)
(x + 9)(x + 1)
(x - 9)(x - 1)
Prime
Answers
The factors of the expression are (x - 9) (x + 1).
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the liketerms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
x² - 8x + 9
Determinantformula.
a = 1, b = -8, c = 9
So,
x = -b ± √(b² - 4ac) / 2a
x = 8 ± √(64 - 36) / 2
x = 8 ± √100 / 2
x = 8 ± 10 / 2
x = 4 ± 5
x = 4 + 5 and x = 4 - 5
x = 9 and x = -1
x - 9 = 0 and x + 1 = 0
Now,
The tworoots are (x - 9) and (x + 1).
Thus,
The factors of the expression are (x - 9) (x + 1).
Learn more about expressions here:
#SPJ5
Answers
3y=-9x+6
y=-3x+2
B. 30°
C. 120°
D. 180°
Answers
If the first angle measures 60°, then the second angle is 120°.
180° - 60° = 120° Choice C.
The measurement of the second angle is 120°.
Hence, the correct answer is C. 120°.
Here, we have,
Two angles are considered supplementary if their sum is equal to 180°.
In this case, we are given that the first angle measures 60°.
To find the measurement of the second angle, we subtract the measurement of the first angle from 180°:
180° - 60° = 120°
Therefore, the measurement of the second angle is 120°.
Hence, the correct answer is C. 120°.
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Answers
Answer:
0.8% is a probability that a calculator chosen at random will be defective
Step-by-step explanation:
Probability of any event is given by:
where, A is any event.
As per the statement:
In a batch of 960 calculators, 8 were found to be defective.
here,
A = Defective calculator.
⇒Number of defective calculator = 8
and
Total number of outcomes = 960 calculators.
then by definition we have;
Simplify:
= 0.833333333 %
Therefore, a probability that a calculator chosen at random will be defective to the nearest tenth place is, 0.8 %
Probability:
0.00833...
As a Percent:
0.00833....× 100
0.833%
To the nearest tenth of percentage:
0.833% ≈ 0.8%