Which statement best describes the area of Triangle ABC shown below?
Group of answer choices
It is twice the area of a rectangle of length 4 units and width 5 units.
It is one-half the area of a rectangle of length 4 units and width 5 units.
It is twice the area of a square of side length 5 units.
It is one-half the area of a square of side length 5 units.
Answers
Answer:
C) It is one-half the area of a rectangle of length 4 units and width 5 units.
The total area of the triangle is 10, which we get by multiplying the height (5) times the base (4), which will be 20, and then dividing by 2, which is 10!
Given this information, we can start eliminating answers.
A) It is twice the area of a rectangle of length 4 units and width 5 units. This is answer is wrong, as the area of a rectangle with a length of 4, and a width of 5, is 20. Meaning that in order for this to be true, the area of the rectangle must be 40, which it is not.
B) It is one-half the area of a rectangle of length 4 units and width 5 units.
This is answer is right, as the area of a rectangle with a length of 4, and a width of 5, is 20, and half of that would be 10, which is half of the area of the triangle!
C) It is twice the area of a square of side length 5 units.
This answer is also wrong because the area of a square with side lengths of 5 would be 25, which is not half of the area of the triangle. In order for this to be true, the area of the rectangle must be 50, which it is not.
D) It is one-half the area of a square of side length 5 units.
This answer is wrong because the area of a square with side lengths of 5, would be 25, which is not twice the the area of the triangle. In order for this to be true, the area of the rectangle must be 12.5, which it is not.
Related Questions
Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the sale price of the set of chairs?
Answers
Answer:
127.5
Step-by-step explanation:
0.25*170 then take away from 170
$127.5 was the sale price of the set of kitchen chairs.
Given:
Camille bought a set of kitchen chairs at discounted 25% off of the original price.
The original price of a set of kitchen chairs = $170
To find:
The sale price of the set of kitchen chairs.
Solution:
The original price of a set of kitchen chairs = O.P = $170
The percent of discount on the set of kitchen chairs = d% = 25%
The discount price on the set of kitchen chair= D
[tex]d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5[/tex]
The sales price of a set of kitchen chairs = S.P
[tex]S.P=O.P-D\\=\$170-\$42.5=\$127.5[/tex]
$127.5 was the sale price of the set of kitchen chairs.
Learn more about the discount price here:
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In 1850, there were 564 textile mills in New England states with a total of 61,893 workers. The average wmployment per textile mill was ?
Answer Choices
109
110
108
111
Answers
1. George's gross pay was $565. If he has to pay 1.45% to Medicare tax, how much will the Medicare tax deduction be?
o
$8.19
$5.45
$819.25
$0.81
Answers
Answer: $8.19
Step-by-step explanation: Times 565 by 1.45% and that's what you get.
Answer:
The answer is $8.19
Step-by-step explanation:
What is the slope of a line parallel to the line 2x + 3y = 5?
Answers
i think its 2/3 but im not sure .
Answer:
D
Step-by-step explanation:
Parallel lines have same slope
Write the equation in slope - intercept form
2x + 3y =5
3y = -2x + 5
Divide the equation by 3
[tex]y = \frac{-2}{3}x +\frac{5}{3}[/tex]
So, slope = (-2/3)
People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.
Answers
Answer:
we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Step-by-step explanation:
Population mean μ₀ = 20
Sample data 18 23 24 44 19 27 23 26 25
Then:
Sample mean μ = 25,44
Sample standard deviation s = 7,14
Sample size n = 9
Hypoyhesis test:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ > μ₀
Significance level α = 0,05 CI = 95 %
We must develop a t-student one-tail test ( to the right ) as follows
t(c) = ??
degree of freedom df = n - 1 df = 8 and α = 0,05
Then from t-student table t(c) = 1, 8595
To calculate t(s) = ( μ - μ₀ ) / s/√n
t(s) = ( 25,44 - 20 ) * √9 / 7,14
t(s) = 5,44*3 / 7,14
t(s) = 2,29
Comparing t(c) and t(s)
t(s) > t(c)
Then t(s) is in the rejection region we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
WILL GIVE BRAINLIEST
HELP ASAP
PLEASE
Answers
Answer:
143
Step-by-step explanation:
Answer: I think for number A 3+5x2=X
I’m not sure about B tho
Step-by-step explanation:
You add 3+5 then you multiply it by 2 cause it twice as large
Help me please I'm bad at geometry
Answers
Which graph represents y = √ X
Answers
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
Factor this polynomial completely.
x^2-8x+16
A. (x-4) (x-4)
B. (x+4) (x+4)
C. (x-4) (x+4)
D. Does not factor
Answers
Answer:
(x-4) (x-4)
Step-by-step explanation:
foil [first, outside, inside, last]
x^2 -8x = 16
(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16
Answer: (x-4) (x-4)
Step-by-step explanation:
I have done this before!
y = 2x - 5
y = 5x -5
Determine if is parallel or perpendicular?
Answers
Answer:
The lines intersect, but they're not parallel or perpendicular.
In the equation 30x = 21, x = 9
A. True
B. False
Answers
Step-by-step explanation:
30x=21
x=21/30
x=7/3
x=0.7
so, its false
hope it may help you
You spend $75 on a meal including tax and want to leave a tip that is 20% of the $75. What is the total cost, with the tip? The cost of your meal, with the tip, is $(answer)
Answers
Answer:
The total cost = $90
Step-by-step explanation:
As, $75 is the cost of the meal
And tip is 20%
So 20% of $75 = 15
So, the tip = $15
So, total = Cost of meal + tip
= $75 + $15 = $90
What is the slope of the line shown below
Answers
Answer:
it's C
Step-by-step explanation:
please mark me as brainliest thank you
y
is inversely proportional to
x
.
When
y
=
4
,
x
=
16
Work out
y
when
x
=
8
Answers
Answer:
y inversely proportional to 1/x
y=4, x=16
4=k/16
k=64
find y when x=8
y=64/8
y=8
simplify −k−(−8k+7) to create an equivalent expression
Answers
Answer:
7k - 7
Step-by-step explanation:
-k - (-8k + 7)
= -k + 8k - 7
= 8k - k - 7
= 7k - 7
complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y= ????
Answers
Answer:
y = -2x - 8
Step-by-step explanation:
Slope-intercept form is y = mx + b. Slope is m, and y-intercept is b. To do this, we substitute -2 for m and -8 for b. When we do this, we get y = -2x + -8. We can simplify this to y = -2x - 8.
find the measure of the angle
Answers
Answer:
2 = 74
1 = 106
Step-by-step explanation:
none
33 is what percent of 200
Help ASAP
Answers
Answer:
16.5
Percentage Calculator: 33 is what percent of 200? = 16.5.
What is the least common denominator of 1/4 and 7/9
Answers
Answer: It is 36
Step-by-step explanation:
4.02>4.1 TRUE OR FALSE
Answers
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation:
An 8-ounce cup of gourmet coffee costs $4.96.
If the unit price remains the same, how much
would a 12-ounce cup of gourmet coffee cost?
Plz help
Answers
$4.96
$2.48+
answer === $7.44
anyone ?mknwonthisssss
Answers
Please help me answer this !!
Explain your answer !!!
I will give brainlst
Answers
Any amount of rotation will not change the angle between the two spokes. This is because each piece of the wheel moves in unison as the rotation is applied. Nothing changes about the wheel. Imagine instead of rotating the wheel, we instead rotated the camera that is capturing the wheel (or the person looking at the wheel rotates their head). This is a good way to see how the wheel itself isn't changing at all, but instead rather just the look of it is changing.
Solve for x
4^x/9^x=½
Answers
Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
Seventh grade
AA.5 Area of circles YA8
The radius of a circle is 9 feet. What is the circle's area?
Use 3.14 for .
square feet
Submit
Answers
Answer:
A=pi x r^2
A= 3.14 x 9^2 feet
A= 3.14 x 81 feet^2
A= 254.34 ft^2
72 = –6(y + 37)
plz help
Answers
Answer:
-49
Step-by-step explanation:
you can first divide both sides by -6
so
-12 = y+37
so y = -12-37 = -49
60 sixth grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Answers
Answer:
240
Step-by-step explanation:
25% =1/4
if 1/4 of class is 60, the class have 60x4 students
Convert y = 8x2 + 128x + 48 to vertex form by completing the square. Choose the
correct equation,
Answers
Answer:
y=8(x+8)^2-464
Step-by-step explanation:
hope this helps
Lena purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card.
Lena used her card only once to make a long distance call. If the remaining credit on her card is S18.04, how
many minutes did her call last?
|minutes
?
Answers
Answer:
havenche ai polld pener es quanto
Step-by-step explanation:
Billy purchased four more oranges than apples. Apples cost 30 cents each and oranges cost 50 cents each. Billy
spent a total of $3.60. Write an equation, to find how many apples, a, he purchased.
Answers
Answer:
0.30a + 0.50 (4+a) = 3.60
Step-by-step explanation: