Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?
Answers
Answer:
[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
Step-by-step explanation:
b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]
Area of one triangle
[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]
There are 4 colored triangles so total area of the triangles is
[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]
The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
Related Questions
The original price of a marker is $5.00 What will the new price be after a
15% increase ? *
Answers
Answer:
5.75
Step-by-step explanation:
for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!
Answer:$5.75
Step-by-step explanation:
Chang wants to know if he is improving
Answers
Answer:
Yes he is
Step-by-step explanation:
Answer:
Yes! he is
Step-by-step explanation:
:)
what is slope function
Answers
Answer:
Slope means that a unit change in x, the independent variable will result in a change in y by the amount of b. ... slope = change in y/change in x = rise/run. Slope shows both steepness and direction. With positive slope the line moves upward when going from left to right.
Step-by-step explanation:
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answers
Answer:
Step-by-step explanation:
Giving brainliest to the correct answer 20 points!!!
Answers
Answer:
x, (40,0)
y, (0,15)
hope it helps
Answer:
78
Step-by-step explanation:
hvtyvyuhj7
I don't understand this at all. Please help.
- A confused eighth grader.
Answers
Answer:
T
Step-by-step explanation:
All the other ones are functions because their relations all start with different numbers except T, where it has 3 two times.
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
Answers
64 x 50 = 3,200
3,712-3,200= 512
64 x ? = 512
?=8
3,200+512= 3,712
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
Answers
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
Giving brainliest 10 points! Please help me with this question
Answers
Answer:
(0,-23)
Step-by-step explanation:
Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?
Answers
Answer:
7.4:1
Step-by-step explanation:
The rate of patrons to advertising dollar is7.4 patrons per dollar.
What is rate?A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.
Given:
The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.
So, the rate of patrons to advertising
= 18.5 million patrons to $2.5 million
= 18.5/2.5
= 7.4 patrons per dollar
Learn more about Ratio here:
https://brainly.com/question/13419413
#SPJ6
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Answers
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Answers
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answers
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
PLEASE SOLVE
Michelle delivers books to school libraries. Her truck has a slide out ramp for unloading the
books. The top of the ramp is 3 feet above the ground. The ramp itself is 5.2 feet long What is
the horizontal distance the ramp reaches?
Answers
Answer: about 6 feet
Step-by-step explanation:
3^2+5.2^2=36.4
Square root of 36 is 6
What is the circumference of a circle with a radius of twelve inches, in terms of pi?
Answers
Answer:
24
Step-by-step explanation:
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answers
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20
Please help me find the x and y value of these
Answers
Answer:
27 and 28
Step-by-step explanation:
4. -64
Multiplicative inverse
Answers
Answer:
the answer I got is -23, please let me know if I am wrong.
120% of __________ is 78
Answers
120% of 65 is 78.
This means that 120 times what equals 78.
120*65=78
Answer:
65
Step-by-step explanation:
What is the value of y? 5,6,or
10
Answers
Answer:
ima say 6
Step-by-step explanation:
Ill give Brainliest!!! PLease THIS IS MY LAST QUESTION, I HAVE 5 MINUTES LEFT!!!
Answers
Answer:
y=95x+50
Step-by-step explanation:
hello can anyone please help me??
Answers
Answer:
c. y + 268 = 12(x + 20)
Step-by-step explanation:
plug in -1 for x and you'll get -40
a science center has v visitors on the first day of an special exhibit and 200 visitors on the second day what is the average number of visitors per day over the two days
Answers
I=$24, P=$400, T=2years
Answers
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
Which expression is the simplest form of
(x4/7)^7
Answers
Answer:
16384x^7 / 823543 wirte like a fraction
Step-by-step explanation:
What’s the answer???
Answers
Answer: 294.25 for total price.
Step-by-step explanation:
First do .07 times 275 which gets you 19.25 (sales tax), then add that to the cost of the phone. 275+19.25 and you get 294.25 for total price.
Answer:
Tax $19.25 Total amount $294.25
Step-by-step explanation:
Multiply 275 x .07 = 19.25.
Add 275 + 19.25 = 295.25
The $430 is extra information that can be disregarded.
A line passes through the points (-4,4) and (-9,2)
Answers
Answer:
y=2/5x+28/5
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME!!!!!! Determine whether the points (–2,3) and (0,–1) are in the solution set of the system of inequalities below. y > –x – 2 y < –5x + 2.
options
A)
Both points are in the solution set.
B)
Neither of the points is in the solution set.
C)
The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.
D)
The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.
Answers
Answer: the answer is A.
Step-by-step explanation:
I took the test
Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8
Answers
answer:
the answer is -3 and 8
Step-by-step explanation:
we will place -3 in the equation
(x+3)(x-x)=0
(-3+3)=0 (because -3+3 will cut down together)
we will place two 8(eights) in the equation
(8-8)=0
final answer is
(0)(0)=0
so -3 and 8 fits well in the equation
11. The number of students in Madison Elementary School increased from 365 students last year to 397 students this year. What was the percent of increase in the student population?
10 POINTS FOR ANSWERING WITH EXPLANATION
Answers
Answer:8.76712328...%
Step-by-step explanation:
1.Find the increase in students. 397-365=32
2. Take the ratio and put it into percent. 32/365=x/100
3. Cross multiply. 32 x 100=365x
4.Solve. X=8.76712328...%
It is repeating forever like this.
8.767123287671232876712328
