Vertical, Complementary and Linear Pair Angles Last one maybe?!
A rectangle has a perimeter of 26 inches. All of its side lengths are doubled to create a new rectangle.
a. How does the perimeter of the new rectangle compare to the perimeter of the original rectangle?
b. How does the area of the new rectangle compare to the area of the original rectangle?
Answer:
a) the new perimeter is 2 times the old perimeter
b) the new area is 4 times the old area
Step-by-step explanation:
b) the doubling of the length and width affects the area formula like this:
old triangle area formula = 1/2bh
new triangle area formula = 1/2(2b)(2h), you see the 2 x 2 causes the area to be 4 fold
Help me pls! I don't understand my math omg
Answer:
correct
Step-by-step explanation:
maybe
A rectangle has a length of √7 and a width of 3√8. Find the area of the rectangle.
The area of the rectangle is 3[tex]\sqrt{56}[/tex]
Given,
A rectangle has a length of √7 and a width of 3√8.
We need to find the area of the rectangle.
What is the area of a rectangle?The area is given by:
Area = Length x width
Find the length and width of a rectangle.
Length = [tex]\sqrt{7}[/tex]
Width = 3[tex]\sqrt{8}[/tex]
Find the area of the rectangle.
Area = Length x width
= [tex]\sqrt{7}[/tex] x 3[tex]\sqrt{8}[/tex]
When there are two different square roots we multiply them together under one root.
[tex]\sqrt{a\times b} ~~=~~\sqrt{a}\times\sqrt{b}[/tex]
Now,
= 3[tex]\sqrt{7\times8}[/tex]
= 3[tex]\sqrt{56}[/tex]
Thus the area of the rectangle is 3[tex]\sqrt{56}[/tex]
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what's x + y
[tex] {x}^{2} + {y}^{2} + 2xy = 9[/tex]
Answer:
the awnser is 10 and 1/x+ 1/y is = 5/12
what is the answer?
Answer:
x^2 - 5x - 6 = (x - 2)(x - 3).
Step-by-step explanation:
f(x) = x^2 - 5x - 6
We need 2 numbers whose product is - 6 and whose sum is -5. They are -3 and -2:
The factors are x- 2 and x - 3.
Answer:
x-6
Step-by-step explanation:
CAN SOMEONE PLEASE GELP ME?
Answer:
1 ) 140
2) 60
Step-by-step explanation:
1. It touches the y intercept at 140 and 0 in the x axis so 140
NOTE : THE NUMBER THE TOUCHES THE Y INTERCCEPT IS ALWAYS THE ANSWER/ IT GOES DOWN 3 ACROSS 3 SO IT AND U WILL SEE IF IT TOUCHES THE Y INTERCEPT IT WILL BE 140
2. it goes from 140 to 200 just subtract them to get how much she gets
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
PLS SOMEONE HELP ASAP!!
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.
How long is the blue ribbon if the red ribbon is 12 inches?
*working backwards ;)
Out of a total of 50 high school students, 14 plan to go to the basketball playoff game Friday night if there are 1450 students at the school, which is the best prediction of how many of the students will attend the game?
Answer:
1131 students, is the best prediction.
Step-by-step explanation:
1450 divided by 50 = 29
50 - 14 = 36
36 x 29 = 1131
Will Mark Branliest for Best Answer!! Plz Help!
A juggler throws a ball from an initial height of 4 feet with an initial velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h=−16t2+vt+s where t is the time (in seconds) the ball has been in the air. v is the initial velocity and s is the initial height.
Write an equation that gives the height (in feet of the ball since it left the juggler's hand. )
Answer:h=16+2+vt +s
Step-by-step explanation:
If the image of point J under a 180° rotation about the origin is (-8, 4), what are the coordinates of point J' ?
Will give brainliest
What is the simplified form of the ratio 27 : 9
Answer:
3:1
Step-by-step explanation:
Answer:
The simplest form of 279 is 31.
Step-by-step explanation:
Hope this helps
What is the equation of the line perpendicular to y = 1/4x – 5 through the point (4,3)?
y-yi=m(x-xi)
y-3=1/4(x-4)
y-3=x-4/4
4y-12=x-4
4y+x-12+4=0
4y+x-8=0
so the equation of
the line perpendicular
to
y=1/4-5 through
the point(4,3)
is4y-x-8=0
Simplify the expression: (1 + p)(8)
Answer: Not 100% sure but I think it is p=7
Answer:
8+8p
Step-by-step explanation:
you use distributive property! Multiply 8 by 1 and 8 by p and add it!
(1+p)8
8+8p
what is the answer I don't know how to solve this
PLEASE HELP ASAP PLS AND TY
After a bicycle tire has done 10 rotations, it has traveled 879.2 inches. Write and solve an equation to find the radius of the tire.
Answer:
14in approx
Step-by-step explanation:
Given data
number of rotations= 10
Distance travelled= 879.2 inches
Hence if in 10 rotations the distance covered is 879.2 inches
in 1 rotation the distance covered will be x inches
cross multiply
10x= 879.2
x= 879.2/10
x= 87.92 inches
This means that the circumference of the tire is 87.92 in
From
C= 2πr
Let us solve for r
87.92=2*3.142*r
87.92=6.284r
r= 87.92/6.284
r= 13.9
Hence the radius is 14in approx
Helpp plz I will mark brainliestttt
Answer:
The answer is b
Step-by-step explanation:
The formula for the surface area of rectangular prisms is
A=2(wl+hl+hw)
Now input the length width and hight into the right spots
=2*(2*6.6+3.3*6.6+3.3*2)
And you will end up with the answer
=83.16
what is the qoutient of 0.1 and 20
Step-by-step explanation:
jeuejejejejejnenenenennens
True or False: Mutual funds can include a wide variety of industries and sectors of the economy.
Answer:
that's The truth
Step-by-step explanation:
that's more like a trade
Brookwood High School is considering adding co-ed soccer to the sports program for the fall season. In order to get an unbiased sample of interest in soccer, who should the school survey?
A.
members of the soccer team
B.
students in freshman homerooms
C.
girls in PE class
D.
every fifth student entering the cafeteria
In order to get an unbiased sample of interest in soccer, the school survey should be conducted D. every fifth student entering the cafeteria.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
Given that,
Brookwood High School is considering adding co-ed soccer to the sports program for the fall season.
We need to get an unbiased sample of interest.
If the survey is conducted only among the members of the soccer team, the result will be biases because only the interest of someone in the team is known.
Similarly, in the case of students in freshman homerooms and girls in PE class.
If we select every fifth student entering the cafeteria, there is a chance for all the levels of students to be included which eliminates the possible bias.
Hence the option is D.
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Prove \triangle ABE\cong\triangle ACE△ABE≅△ACE. Be sure to state any congruencies and the criteria used to determine them.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.
1) AB = DC, BE = CE (given)
2) ∠AEB≅∠DEC (vertical angles are congruent)
3) ΔABE ≅ ΔACE (side angle side congruence theorem)
If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.
Samantha threw an apple out of a window from the tenth floor of her apartment building. The equation y=-16t^2+120y = − 16 t 2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round our answer to the nearest hundredth.
Only type in the numerical answer.
Answer:
2.74 Seconds
Step-by-step explanation:
-16t²+120=0
-16t²=-120
t²=7.5
t=2.74
If y = x² + 2x + 3, find the value of y when x = -1
Answer:
y = 2
Step-by-step explanation:
Given
y = x² + 2x + 3 ← substitute x = - 1
y = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
Write 200 as a product of primes.
Use index notation when giving your answer.
Answer:
Step-by-step explanation:
The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.
The prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
It is given that a number is 200.
We have to find out the prime factorization of 200.
What do you mean by prime factorization ?
Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.
As per the question ;
The given number is 200.
We have to find the prime factors of 200.
This meant to find out the prime numbers we should multiply together to make the original number which is 200.
So ;
200
= 2 × 100
= 2 × 2 × 50
= 2 × 2 × 5 × 10
= 2 × 2 × 2 × 5 × 5
or
= 2³ × 5²
Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
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Please help me...
find x and y
Answer:
The "middle triangle"
50+85+n=180
n+135=180
n=45
The "left side triangle"
x+68+45=180
x=67
The "right-side triangle"
50+74+z=180
124+z=180
z=56
y=180-56
y=124
Let me know if this helps!
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
Answer:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Step-by-step explanation:
Given
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question
Required
The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]
Expand the numerator
[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]
Factorize
[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]
Factor out x + 1
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
----------------------------------------------------------------------------------------------------------
As x approaches -2 implies that:
[tex]x -> -2^{-}[/tex] Say x = -3
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
[tex]x->-2^{-}, p(x)->-\infty[/tex]
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that: [tex]x>-2[/tex]
Say x = -2.1
[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
[tex]x->-2^{+}, p(x)->-\infty[/tex]
So, the behavior is:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
What is the length of the line?
Answer:
[tex]\sqrt{61}[/tex]
Step-by-step explanation:
x = 6 units horizontally
y = 5 units vertically
Use the pythagorean theorem[tex]\sqrt{x^{2} + y^{2} } = L[/tex]
Plug x and y into the equation, and you will get [tex]\sqrt{61}[/tex] as the length.
Answer:
7.8 units (which is to the nearest tenth)
Step-by-step explanation:
We apply the Pythagorean Theorem here; the length of the line is the length of the hypotenuse of a triangle whose horizontal leg length is 6 and whose vertical leg length is 5 units. This Theorem is expressed symbolically as
a^2 + b^2 = c^2. In this particular case, a = 6, b = 5 and c is to be determined. Performing the calculations, we get
6^2 + 5^2 = c^2, or:
36 + 25 = 61 = c^2
Taking the positive square root of both sides, we get c = √61 ) exactly,
which rounds off to 7.8 units (to the nearest tenth).
The length of the line is 7.8 units.
Type your answer in the box provided. Make sure to use complete sentences.
Real World: Choose ONE of the following quadratic equations to solve. State your method of solving, giving your reasoning for why you chose that method. Show all work, and put your final answers in context.
A person walking across a bridge accidentally drops an orange into the river below from a height of 140 ft. The equation 0=−x2+7x+18 gives the relationship between how many seconds, x, have passed when the orange hits the water. In how many seconds will the orange hit the water?
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Things you MUST include: (1 point each for a total of 5 points)
Method of solving the quadratic.
Reasoning for choosing this method.
All work to solve the quadratic equation.
The two mathematical answers to the equation.
The answer to the question asked, based on which answer is reasonable.
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Answer:
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Step-by-step explanation:
h = -16t^2 + 80 Stick hits the ground when h = 0:
0 = -16t^2 + 80
16t^2 = 80
t^2 = 80/16 = 5
t = POSITIVE root 5 (due to the real world nature of the problem)
t approximately 2.236 seconds.
========================================
Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)
Symmetric about h-axis, though I would only graph on the right side of the h-axis since
that is where t >= 0.