Answer: 8 8/9
Step-by-step explanation:
From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.
The average change in square footage per room will be calculated as:
= 26 2/3 ÷ 3
= 80/3 × 1/3
= 80/9
= 8 8/9
Therefore, the answer is D.
Find the area, in square units, of ABC plotted below.
Answer:
43.55
Step-by-step explanation:
1. Use the distance formula on both points AC and AB.
Distance formula is this:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
The area of triangle ABC is 43.5 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shape ABC is a triangle.
Where,
AB = Base
AC = Height
A = (1, 8)
B = (6, 6)
C = (-5, -7)
First, let's find the length of AB using the distance formula:
AB = √((6-1)² + (6-8)²)
= √(25 + 4)
= √(29)
Next, let's find the length of AC using the distance formula:
AC = √((1-(-5))² + (8-(-7))²)
= √(36 + 225)
= √(261)
The area of the triangle ABC can be found using the formula:
Area = (1/2) x base x height
We know that AB is the base and AC is the height,
Area = (1/2) x AB x AC
Area = (1/2) x √(29) x √(261)
Area = (1/2) x √(7569)
Area = (1/2) x 87
Area = 43.5
Therefore,
The area of triangle ABC is 43.5 square units.
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PLEASE HELP ASAP!!!
Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)
Answer:
1.)10 2.)0 3.)10
Step-by-step explanation:
1.) 4 (2) = 8 + 2 = 10
2.) 2(2) - 4/5 = 0
3.)2y + 11/-11 = +3y/-3y +1
2y - 3y = 1 - 11
-1y/-1 = -10/-1 = 10
(4x+8)+(7x+3) help me!!!!
Answer:
Step-by-step explanation:
11x+11
In a dance contest in which 53,000 votes were cast, the winner received 3/5 of votes. How many votes did the winner not receive? (Incorrect solution: 3/5 x 53,000 = 3/5 x 53,000/1 = 3x53,000/ 5 x 1 = 31,800) ( explain error please and add correct work/solution and if you could share a strategy you used? Thanks!!)
Answer:
21,200
Step-by-step explanation:
Votes casted = 53000
Votes received = 3/5
Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5
Total votes not received by winner
= 53000 *2/5
= 10,600 * 2
= 21,200
pls help i don’t know how to simplify lol
Answer:
the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)
Answer: 5/12, 3/14
Step-by-step explanation:
first problem:
first, we just reduce the numbers.
5/4 x 1/3
then, we simply multiply.
5/12
second problem:
again, we just reduce the numbers.
3/2 x 1/7
and then multiply.
3/14
Calculate the speed of a wave with a frequency of 2 Hz, amplitude of 3m, and a wavelength of 10m
The speed of a wave is the product of the wavelength and its frequency.
The speed of the wave is 20m/s
Given
[tex]\lambda = 10m[/tex] --- the wave length
[tex]f =2Hz[/tex] --- the frequency
[tex]A = 3m[/tex] --- the amplitude
The speed of wave (v) is calculated as follows:
[tex]v =f\lambda[/tex]
Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]
[tex]v = 2Hz \times 10m[/tex]
[tex]v = 20ms^{-1}[/tex]
Hence, the speed of the wave is 20m/s
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Annie spent $143.89 at Kohls and there is a 6.25% sales tax. What will she pay in sales tax and
what is the total purchase price?
Answer:
net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88
the angles of a triangle are in the ratio 2:3:4 find the size of each angle
Answer:
40:60:80
Step-by-step explanation:
2x+3x+4x=180 (sum of ang. In tri. Is 180)
X=20
2x is 40
3x is 60
4x is 80
40 plus 60 plus 80 is 180.
Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?
Answer: Yes
Step-by-step explanation:
A supplementary triangle has sides adding up to 180°.
We have the side lengths 40, 60, and 80.
To find out if it is a supplementary triangle, we will add all the sides.
40 + 60 + 80 = 180
We get 180° as our answer when we add.
We got 180°, so the answer is yes, it can.
Best of Luck!
Answer:
yes.
Step-by-step explanation:
Any angle that adds up to 180 is a supplementary angles.
based on your examples 40, 60, 80, if you sum it up...
it equates to 180. so the answer is yes.
Through (2,-5); perpendicular to 3y=x-6
Answer:
y=-3x+1
Step-by-step explanation:
Have a good one.
What is the perimeter of this figure?
6x+6
6x+10
4x+6
4x+8
Answer: 4x+8
Step-by-step explanation:
Okay since the area for the block is X, two numbers multiplied together is X.
Since the big block has an area of X^2, then this shows the sides to be X.
This gives the sides of the block with area X to be 1 and X.
Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8
Did you hear the story about the piece of butter?
Answer:
I believe once it saw the cast iron skillet's beauty, it melted.
Step-by-step explanation:
No clue just that was the first thing in me mind.
PLEASE HELP!!
adding and subtracting complex numbers
1-) (12-3i)+(7+3i)
2-). (12+4i)-(3-7i)
Step-by-step explanation:
1) 19+i
2) 9-3i
hope this helps bro
Answer:
1. 19
2. 9 + 11i
Step-by-step explanation:
first problem:
first, we rewrite it and remove the parentheses.
12 - 3i + 7 + 3i
then, just remove the opposites and calculate.
19
second problem:
again, we rewrite and remove the parentheses.
12 + 4i - 3 + 7i
then, we calculate and collect like terms.
9 + 11i
the sum of 9 times a number and 4 is 6
Answer:
2/9
Step-by-step explanation:
6 - 4 = 2
2 divided by 9 = 2/9
How far from the base of the house do you need to place a 13-foot ladder so that it exactly reaches the top of a 10- foot tall wall
Write the equation of the line that passes through the points (-7,1) and (7,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y-1=-1/2(x+7)
Step-by-step explanation:
Find the slope first using the slope formula.
y2-y1/x2-x1
-6-1/7--7
-7/14
Slope is -1/2
Now choose one of the coordinates and put it in point-slope form.
y-1=-1/2(x+7)
A store sells new video games for $60 each. Used video games sell for $12 each. Jacob is buying 3 video games and x used video games which equation can be used to find y, the total price Jacob must pay in dollars?
In a logistic regression model, the predictor _________
a. is interval/ratio data.
b. must undergo a logarithmic transformation before undergoing logistic regression.
c. must be in the range of 0 to 1
d. represents ranked scores
e. must be a binary variable
Answer:
B. must undergo a logarithmic transformation before undergoing logistic regression.
Step-by-step explanation:
A logistic regression model allows us to establish a relationship between a binary outcome variable and a group of predictor variables. It models the logit-transformed probability as a linear relationship with the predictor variables.
Help if you know please
Answer:
D, F, C
I hope this helps you out! :D
Answer:
A and E
Step-by-step explanation:
I have attached the graph of the problem.
68=u-11
i need help lol pls
Answer:
u=79
Step-by-step explanation:
68=u-11
add 11 to 68
u=79
Which quadratic equation has roots - 2 and 1/5 :
Answer:
[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
Step-by-step explanation:
[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
What is the quotient of 8/9 ÷ 16/9
Answer:
1/2 or 0.5
Step-by-step explanation:
1) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to
purchase a uniform. You paid a total of $108 after 6 months. Write an equation that glves
the total cost (in dollars) as a function of the length of time you have been taking classes
(in months). Find the total cost after 9 months.
Answer:
$162
Step-by-step explanation:
you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.
The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
What is unit rate?A unit rate means a rate for one of something.
Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.
We have unit rate = $15 per month
Since, one month cost is $15 therefore, for 6 months = 15×6 = $90
Therefore, cost of uniform = $108 - $90 = $18
Let you are taking classes for x months, the function of the length of time you have been taking classes,
f(x) = 15x
For 9 month cost =
f(9) = 15×9 = 135
Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
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A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2 labeled A, B, negative 1, C, 0, D, 1, E, 2 labeled F. Identify the location of each point on the number line. 0.5 is point . Negative one-half is point . –1.4 is point . 2 is point .
Answer:
ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1
Answer:
0.5 is point D
-1/2 is point C
-1.4 is point B
2 is point F
Step-by-step explanation:
Pls give brainliest!
A paraboloid container is being filled with fluid at the rate of 4.5 cubic feet per minute. At what rate is the level of fluid changing when the depth
is 2.5 feet? The ratio of the radius to the height of the container is 3:7.
"V = 1/2 pir^2h
Answer:
2.62 ft./min
Step-by-step explanation:
Just took the test.
Type the missing number in this sequence:
58, 65, 72, ___, 86, 93
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
Each number has a 7 numerical difference
Please help fast.
Answer the question below:
Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)
(y-4) = 2(X+1)
Step-by-step explanation:
Hey there!
The given eqaution is; y = 2x-5.......(i)
Now; As the eqaution is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the eqaution of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write upto here. But it you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Hope it helps.....
Answer: y - 4 = 2(x + 1)
Step-by-step explanation:
The point slope form formula says that y - b = m(x-a) where m is the slope,b is the y coordinate of a given point , and a is the x coordinate of the same point.
Remember that parallel lines have the same slopes but different y-intercepts, meaning that m will equal to 2 because the slope for the line y=2x-5 is 2.
m will be 2, b will be 4 , and a will be -1.
y - 4 = 2(x - (-1) which reduces to
y - 4 = 2(x + 1)
what is 3/4 divided by 1/6
0 3
0 4
0 4 1/12
0 4 1/2
Answer:
c
because i just did the test
Solve the quadratic equation using any appropriate method.
- 2x2 + 7x - 7 = 0