Answer:
Below in bold.
Step-by-step explanation:
Part A.
9a^2 - 24a + 16
= (3a - 4)(3a - 4).
Length of each side = 3a - 4 units.
Part B.
25a^2 − 36b^2
= (5a - 6b)(5a + 6b).
The dimensions are 5a-6b and 5a+6b.
The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Part A.
The area of a square is [tex]9a^2 - 24a + 16[/tex] square units.
To determine the length of each side of the square by factoring the area expression completely.
[tex]9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).[/tex]
The Length of each side = 3a - 4 units.
Part B.
The area of a rectangle is [tex]25a^2 - 36b^2[/tex]square units.
To determine the dimensions of the rectangle by factoring the area expression completely.
[tex]25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).[/tex]
The dimensions are 5a - 6b and 5a + 6b.
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Two trains leave New York at the same time. One travels south 50 miles per hour and the other traveled east at 40 miles per hour. How far apart are they at the end of THREE HOURS?
Answer:
192 miles
Step-by-step explanation:
This is a right triangle problem
One leg of the triangle is
50 * 3 = 150
The other leg is
40 * 3 = 120
the distance is the hypotenuse
c^2 = 150^2 + 120^2
c^2 = 22500 + 14400
c^2 = 36900
Take the square root of both sides
c = 192.093727123
c ≈ 192 miles
Answer:
30 miles apart
Step-by-step explanation:
Im not sure if this is the corect answer to this but this is what i think what i did was get 50 x 3 and 40 x 3 since they starded at the same times and finished after 3 hours so multiply your numbers by 3 so...
50 x 3=150
40 x 3=120
150-120=30 miles apart
Does anyone know how to do this plz help if u can.
Answer:
1. Positive
2. I can't read the second question...
Step-by-step explanation:
1. When you graph this equation and look at the quadrant 2, you see that the graph makes a happy face which means that it's positive
2. Give me brainliest
The area of a triangle is 30 square feet. If
the base is 4 feet, then what is the height?
Guys help me with this quick pls
Answer:
[tex]117 = 66 + \beta \\ \beta = 51[/tex]
giving out brainliest answer please help me out asap !! it’s due today
Answer:
180=3x+7x+10
simplify
180=10x+10
subtract 10 from both sides
170=10x
divide both sides by 10
x=17
The new number 200 is 400 less than the original number what is the approximate per percent change
Answer:
200+400=600
400/600=2/3=66.6%
Show that the sum of two irrational numbers can be rational
Answer:
Hint: We will have to know about the rational numbers and irrational numbers. ... So, the sum of the given two irrational numbers is equal to 6 which is a rational number in the form of p/q where p=6 and q=1 both are integers. Therefore, it is proved that the sum of the two given irrational numbers is a rational number.
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that [tex]\sigma = 1.3[/tex]
She surveys 124 families
This means that [tex]n = 124[/tex]
Margin of error and meaning:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]
[tex]M = 0.3012[/tex]
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
What is the perimeter of this shape? Use numbers only.
Answer:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
Answer:
10+5+4+6+5 = 30m
Step-by-step explanation:
Helppppppppppp!!!!! Please
Answer:
The answer is C.
Step-by-step explanation:
angle 5 and 4 makes a line which is 180 and since angle 5 equals 57 , 180-57=123.
Can someone help me with question 1 and 2 please
Find the solution of the following equation whose argument is strictly between 90° and 180°.
Answer:
180degreesStep-by-step explanation:
Given the complex value
z² = -81i
z = (-81i)^1/2
Get the argument of -81i
theta = arctan(y/x)
theta = arctan(-81/0)
theta = -90degrees
theta = -π/2
Since tan is negative in the secind quadrant
theta = π - π/2
theta = π/2
According to demoivres theorem
theta = 1/2 * π/2
theta = π
theta = 180degrees
a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is after 12 weeks. e comment on the predicted length of the marrow after one year.
Answer:
The common ratio is 1.2.
After 12 weeks the plant will be 4.46 meters long.
After one year the plant will be 6,552.32 meters long.
Step-by-step explanation:
Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:
0.50 x 1.2 ^ X = Y
Therefore, the common ratio is 1.2.
0.50 x 1.2 ^ 12 = Y
0.50 x 8.916 = Y
4.4580 = Y
Therefore, after 12 weeks the plant will be 4.46 meters long.
0.50 x 1.2 ^ 52 = Y
0.50 x 13,104.63 = Y
6,552.32 = Y
Therefore, after one year the plant will be 6,552.32 meters long.
HELP WILL GIFT 30 EXTRA POINTS IF SOLVE ANSWER ALL QUESTIONS PLEASE!!!
Answer:
Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.
Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.
Need help pls help will gift extra points if help plz explain how you soved it
Answer:
both 125° and the 5x+30 are congruent to eachother. therefore you can go
5x+30=125
subtract 30 from both sides.
5x=95
then divide both sides by 5
x=19
what are the answers for these two questions? please also tell me HOW you got that answer
9. Multiply the money he has by the portion he spent:
75 x 3/5 = (75 x3)/5 = 225/5 = 45
He spent $45
10. First rewrite 4 1/8 as an improper fraction
33/8
Now multiply by 1/3:
33/8 x 1/3 = (33 x1) /(8 x 3) = 33/24 = 1 3/8
She spent 1 3/8 hours studying math.
A picture frame measures 5 inches wide and 7 inches long. What is the perimeter of the frame?
I need some help!! I will try to give brainliest!!!
Answer:
x = 35
y = 95
Step-by-step explanation:
(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.
(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.
Answer:
x = 85, y = 45
Step-by-step explanation:
solving for x:
180 - 95 = 85
solving for y:
85 + 50 = 135
180 - 135 = 45
Good luck on your schoolwork
are these two triangles congruent? if so state, how you know.
Answer:
by SSS axiom
hope it helps.
Answer:
Step-by-step explanation:
Yes
the two sides that are marked make 2/3 of the sides needed for SSS
The line shared by both triangles make the third side.
Answer: SSS
What is the volume of a triangular prism whose base has an area of 38.2mm and heigh of the prism meausers 14mm?
Answer:
534.8
Step-by-step explanation:
Volume= area × height
= 38.2×14
= 534.8
Hence the volumer is 534.8
Answer:
534.8 mm
Step-by-step explanation:
The volume of a triangular prism is given by the relation :
Volume = Base area * height
Base area = 38.2 mm
Height = 14 mm
Hence, the Volume of triangular prism is :
V = 38.2mm² * 14mm
Volume = 534.8 mm
Can anyone give me some advices for my sis cause she is going to high school soon and I'm worried- even tho she is older then me, she is Autism and ofc I'm worried-
Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^
Step-by-step explanation:
Advice;
Talk to her, let her know of the things she could be facing, yes we can give her as much advice as needed but it won't stop her from facing other rude teenagers.If she has a temper you guys should come up w coping mechanisms to use during school when she'll be alone. It's good practice to growing up.Ask for a tour around the school, it'll help her be more aware of her surroundings when she starts to attend.If she's nervous about entering a whole different nd new place it's fine, assure her it's going to be okay it'll just be a little adjustment.Advice for you; ( I know it wasn't asked of )
Calm down. Don't stress, I mean I know you're gonna, she's your sister but worrying about her is just gonna be a whole other problem you don't need. She's fine, she'll be fine, you don't want her to see you worry nd make her feel the same way, right?Alright, hope this was helpful! Need a little more insight? Feel free to ask.
Each triangular face of the following solid figure is congruent. If the area of each face is 12 square inches, what is the
surface area of the entire figure?
Answer:
the surface area is 48in^2 because there are 4 faces and you have to find the surface are in which you must multiply 12 by 4.
Step-by-step explanation:
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
help ..........................................
Answer:
c. 45d+.25m
Step-by-step explanation:
! + 3 − 5 = 0; by completing the square
Answer:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
[tex]x^2+3x-5=0[/tex]
Keep x terms on the left and move the constant to the right side by adding it on both sides.
[tex]x^2+3x=5[/tex]
Take half of the x term and square it.
[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]
then add the result to both sides
[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.
Co...
1.2 m
2.5 m
3.5 m
The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work
Answer:
16
Step-by-step explanation:
Multiplecation by the length width, and the height, then divide and its 16.
Just wanted to make sure I got the right answer
Answer:
D
Step-by-step explanation:
x > -3 For each statement list three numbers that would make a solution to the inequality true.
Answer:
x = -2
x = -1
x = 0
Step-by-step explanation:
Find three numbers to the left of -3 on the number line
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Need answer ASAP
Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
Answer:
subject?
Step-by-step explanation:
The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given two equations made each by Keiko and Eric. They are,
Keiko : t = -1.63a + 92.14
Eric : t = -1.05a + 80.97
(a) As the value of a increases, the value of t decreases for both of the equations.
So the first statement is true.
(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.
When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.
On an average, Eric's equation gives more t.
So second statement is false.
(c) t = 92.14 and t = 80.97 when a = 0.
A person with 0 years old cannot end texts.
So y intercept does not have a relevant meaning.
So c is also true.
(d) -1.63 and -1.05 is the slope of the corresponding lines.
This means that for every 1 year increase in age, the number of text messages decreased by 1.63.
So this is false.
(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.
This is also false.
Hence the inferences are either agreed or disagreed as explained.
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find the number of terms in the series for the series given below.