Given:
The equation is
[tex]y=x^2+2x+1[/tex]
where y is the total square inches of tissue paper and x is the side length of the canvas in inches.
To find:
The side length of the canvas is Martha needs 49 square inches of tissue paper.
Solution:
We have,
[tex]y=x^2+2x+1[/tex]
Putting y=49, we get
[tex]49=x^2+2x+1[/tex]
[tex]0=x^2+2x+1-49[/tex]
[tex]0=x^2+2x-48[/tex]
Splitting the middle term, we get
[tex]0=x^2+8x-6x-48[/tex]
[tex]0=x(x+8)-6(x+8)[/tex]
[tex]0=(x+8)(x-6)[/tex]
Using zero product property, we get
[tex]x+8=0[/tex] and [tex]x-6=0[/tex]
[tex]x=-8[/tex] and [tex]x=6[/tex]
Side length cannot be negative. So, only possible value of x is 6.
Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.
Please help. Find the value of x in the triangle shown below.
5
8
Answer:
x=+-[tex]\sqrt{89}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex]=[tex]8^{2}[/tex] + [tex]5^{2}[/tex]
[tex]x^{2}[/tex]=64+25
[tex]x^{2}[/tex]=89
x=+-[tex]\sqrt{89}[/tex]
convert 0.3 to a percent
A bag contains 6 Purple sticks, 5 Orange sticks, 4 black sticks and you ask a friend to pick a stick at random. What is the probability that the stick will be purple?
And thx
Answer:
9 (partly to do with the amount of sticks)
Hope this helps :)
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
probability (P) is calculated as
P = [tex]\frac{favourableoutcome}{numberofpossibleoutcomes}[/tex]
Here favourable outcome is a purple brick
number of possible outcomes = 6 + 5 + 4 = 15
P(purple brick ) = [tex]\frac{6}{15}[/tex] = [tex]\frac{2}{5}[/tex]
i cant find out the answer for
the life of me
Answer:
A. h = (S/2πr) - rStep-by-step explanation:
Solve the given for h:
S = 2πrh + 2πr²Isolate h:
2πrh = S - 2πr²Divide all terms by 2πr:
h = (S/2πr) - rCorrect choice is A
I need to know this answer right now please help and thank you
Answer:
your answer would b b haha puns
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
Learn more about the Pentagon here:
https://brainly.com/question/30182047
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Triangle congruence and similarly (picture included) SAS, ASA, SSS, or AAS?
Answer:
SAS
Step-by-step explanation:
SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".
We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.
If this helped you, please consider giving a good rating, a thanks, and brainliest! It is greatly appreciated if you choose to do so! Thanks!
List the sides of the triangle in order from
shortest to longest.
50 POINT QUESTIONS WILL MARK BRAINIEST IF YOU ANSWER ALL OF THEM. QUIZ DUE IN 10 MINUTES PLEASE ANSWER!!!!
Answer:
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The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.
Answer:
11 ft
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is
A = L * W.
Represent the length, L, by 2W + 1 ("1 more than twice the width"). Then the area formula (above) becomes:
A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:
2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}. Let's use the quadratic formula to solve this for W:
The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441. The square root of 441 is 21. Thus, the quadratic formula gives us:
-1 ± 21
W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2
2(2)
A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.
Then, according to the formula for L that we found earlier, L = 2W + 1, or
L = 2(5) + 1, or L = 11.
Check: Does L * W result in an area of 55 ft²? Yes
The length dimension of the rectangle is 11 ft
What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
fill in the missing steps of the following sequence:
104, 60, __, 27, 21.5
Answer:
38
Step-by-step explanation:
reducing by half of 44, half of 22, half of 11
will give brainliest if right
SAKHDSKGgsgdyasygudayf
simplify 3a x 2b x 2
Answer:
[tex]12ab[/tex]
Step-by-step explanation:
3a × 2b = 6ab
6ab × 2 = 12ab
Therefor, the answer is 12ab.
3a × 2b × 2 = 12ab
The expression expects us to find the product . Therefore,
3a × 2b × 2Let's do it step by step
3a × 2b = 6ab
Then,
6ab × 2 = 12ab
Therefore,
3a × 2b × 2 = 12ab
read more: https://brainly.com/question/17115859?referrer=searchResults
Consider the system of equations.
4x−3y=−2
2x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Answer Options:
•Distributive Property of Equality
•Division Property of Equality
•Substitution Property of Equality
•Addition Property of Equality
Which equation has a graph parallel to the graph of
y = -2/3x + 2
Answer:
B
Step-by-step explanation:
The answer is b because the number is supposed to be next to the first number
Question 6
1 pts
Johnny is going bowling.
1.) The cost per game is $2.50.
2.) Johnny will need to rent a pair of shoes for $1.50.
3.) He can spend up to $16.00 total.
What is the maximum number of games that Johnny can bowl?
You need to show the inequality and give the answer for complete credit.
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5) Today's temperature is 10 degrees. Yesterday's temperature was -3. What is
the range of the two temperatures? *
Answer:
13
Step-by-step explanation:
10--3=
So is 13
But not sure
Select all the values that are equivalent to 9 pennies 1: model of 9 hundredths 2: 90/100 3: model of 9/10 4: 9/100 5: 9/10 6: $0.09
Q3
A group of scientists collected data on 700 birds in the area. They determined that
12 out of every 35 birds were blue. Based on the results of the study, how many
birds in the population were NOT blue? (7.60. SS, RCA)
Answer: 240 birds are blue
Step-by-step explanation:
Takes 35 x 2=70 so 20 x 35 is 700 then do 12 x 20 and your answer is 240
A town's population went from 40,000 to 50,000. What was the percent of change in the population?
Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False
Answer:
True.
Step-by-step explanation:
It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.
It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.
For example,
Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32
Let's find image using scale factor 0.4, we get
length =0.4(12)= 4.8
width =0.4(4)=1.6
So, perimeter of image = 4.8+4.8+1.6+1.6=12.8
If we compare the perimeters
0.4(32)=12.8.
So, it is true.
Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them
Answer: 17/21
Step-by-step explanation:
Number of cities = 42
Fraction of cities that has lake = 5/42
Fraction of cities that have rivers = 29/42
The fraction of these 42 cities that have a lake or river running through them will then be:
= 5/42 + 29/42
= 34/42
= 17/21
A mother is 3 times as old as her daughter.In 12 years time she will be twice as old as her daughter will be then. How old is the mother now?
Answer:
The mother will be 36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
just multiply 12 and 3
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
Answer:
height = 28 feet
Step-by-step explanation:
using the Pythagorean theorem:
height = 35² - 21²
height² = 1225 - 441 = 784
height = 28 feet
HELP!! Pls!
f(x)=5
Find f(-2)
No links!
Answer:
f(x)=5
f(-2)=5
5 is the answer if there is no x near the 5
This month a band has 6 musicians. This is a 50% increase from the number of
musicians in the band last month. How many musicians were in the band last month?
Answer:
4
Step-by-step explanation:
okay since there was a 50% INCREASE, 6 is (100%+50%) greater than last months amount.
100%+50%=150%=1.5
let's say that x is last months amount
6=1.5x
x=6/1.5
x=4
There were 4 musicians in the band last month.
can someone help me please!!
Answer:
55°
Step-by-step explanation:
∠KJL=180° - 125 = 55°
KL=KJ
so, ∠KJL= ∠KLJ =55°
A triangle has one angle that measures 61 degrees, one angle that measures 44 degrees, and one angle that measures 75 degrees. what kind of triangle is it?
choices
1.right triangle
2.obtuse triangle
3.acute triangle
Answer:
Acute triangle
Step-by-step explanation:
All the three angles of the triangle is less than 90, all angles are acute. So, it is acute triangle.
If any one of the three angles is 90, then it is right triangle.
If any one of the three angle is more than 90, then it is obtuse triangle.
Plz plz plz helpppppplllpl
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
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