Answers
Perimeter = (4x + 2) + (5x - 4) + (7x + 7)
Perimeter = 4x + 2 + 5x - 4 + 7x + 7
Perimeter = 16x + 5
Smaller Triangle:
Perimeter = (x + 3) + (2x - 5) + (x + 7)
Perimeter = x + 3 + 2x - 5 + x + 7
Perimeter = 4x + 5
Diffference = 16x + 5 - (4x + 5)
Difference = 16x + 5 - 4x - 5
Difference = 12x
Answer:
(a) Bigger Triangle = 16x + 5 ; Smaller Triangle = 4x + 5
(b) Difference = 12 x
a. 16x + 5. To do this problem you combine all of the like terms, and that is your equation.
Pink triangle-
a. 4x + 5 You do the same steps you did before, combine like terms.
b. 12x "The difference" means subtraction. So you subtract the like terme
s of both the problems and get 12x.
Hope this helps!!
Related Questions
the coordinates of the three vertices of a triangle are (0,0) (0,4) (4,4). what is the area of the triangle
Answers
The area is thus (1/2)(base)(height) = 8 square units.
for a company outing employees voted their preferences of bowling a movie or a baseball game seventy percent which is 56 employees voted for the movie. what is the total number of employees who voted?
Answers
welcome to my world where answers grow on trees!
if u want the answer to this question and more... come to ME!!
ull find ur self the brainliest that ill give u plus many thanks and rates to amazing people like u!!
lol I made that poem up anyways ur answer would be 42
hope I helped BRAINLIEST??
for questions 1 - 2, what are the excluded functions of the function?
1.) y= 4/9x-45
2.) y= 7/2x+48
Answers
1.) Function of x.[tex]f (x) = \frac{4x}{9} -45[/tex]
Function of y.[tex]f (y) = \frac{405}{4} + \frac{9y}{4} [/tex]
2.)Function of y.[tex]f (y)= \frac{7}{2(y-48)} [/tex]
Function of x.[tex]f (x) = \frac{7}{2x} + 48[/tex]
What type of triangle has 3 sides that are the same length?
Answers
An equilateral triangle is a triangle in which all 3 side lengths are the same.
Hope this helped☺☺
Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous Powered by LinkIt!
Answers
The parimeter of the square by definition is given by:
P = 4L
Substituting values:
P = 4 (2x + 4)
Rewriting we have:
P = 8x + 16
Part 2:
For x = 5 we have:
P = 8 (5) + 16
P = 40 + 16
P = 56
Part 3:
The area of the square is:
A = L ^ 2
Substituting values:
A = (2x + 4) ^ 2
For x = 3 we have:
A = (2 (3) + 4) ^ 2
A = (6 + 4) ^ 2
A = (10) ^ 2
A = 100
The Declaration of Independence was signed on July 4, 1776. The United States celebrated the bicentennial on July 4, 1976. How much time was that
Answers
If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
The value of A, in square units is:
1
Step-by-step explanation:
We are given that:
[tex]s=\dfrac{1}{4}\ units\ and A=16s^2[/tex]
We have to determine the value of A
[tex]A=16\times \dfrac{1}{4}\times \dfrac{1}{4}[/tex]
⇒ A= 1 square units
Hence, the value of A, in square units is:
1
Answer:
I think the answer is 1 sorry I'm late.
Step-by-step explanation:
a new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4-9 where x represents the number of parking lots in the first row. how many spots are in the parking lot if there are 32 parking spots in the first row?
Answers
Answer:
The number of spots in the parking lot if there are 32 parking spots in the first row =111.
Step-by-step explanation:
We are given that a new parking lot is being built for a medical office.
We are given that
The expression representing the number of parking spots in the new lot =[tex]\frac{15x}{4}-9[/tex]
Where x= The number of parking lots in the first row
We have to find number of spots in the parking lot when parking spots in the first row is 32.
The number of parking spots in the first row =x=32
Substitute the value of x in the given expression then we get
Number of spots in the parking lot =[tex]\frac{15\times 32}{4}-9[/tex]
Number of spots in the parking lot=[tex]\frac{480}{4}-9[/tex]
The number of spots in the parking lot=120-9
The number of spots in the parking lot=111.
Hence, the number of spots in the parking lot if there are 32 parking spots in the first row=111.
What is the total number of outcomes in the sample space for Tossing a coin and spinning a spinner with 5 equal sections
Answers
because a coin has two sides ( heads or tails) then the spinner is 5 equal sections so 2/5 <3
hope it helps
There are 10 possible outcomes in the sample space when tossing a coin and spinning a spinner with 5 equal sections.
When tossing a coin and spinning a spinner with 5 equal sections, the total number of outcomes in the sample space can be calculated by multiplying the number of outcomes for each event.
For the coin toss, there are 2 possible outcomes: heads (H) or tails (T).
For spinning the spinner, there are 5 possible outcomes: each of the 5 sections.
So, the total number of outcomes in the sample space is the product of these two numbers:2×5=10.
Complete question :
What is the total number of outcomes in the sample space for Tossing a coin and spinning a spinner with 5 equal sections?
Which ordered pair is a solution of the equation 2x - 3y = 18?
Answers
Answer:
(3,-4)
Explanation:
The easiest way to solve this question is to use each of the given order pairs, substitute with them in the equation and check whether the equation is satisfied or not.
The given equation is:
2x - 3y = 18
1- For (0,8):
2(0) - 3(8) = -24 .....> not equal to 18 .....> wrong choice
2- For (2,5):
2(2) - 3(5) = -11 .....> not equal to 18 .....> wrong choice
3- For (3,-4):
2(3) - 3(-4) = 18 .....> equal to 18 ......> correct choice
4- For (6,2):
2(6) - 3(2) = 6 .....> not equal to 18 ......> wrong choice
Based on the above, the correct choice is (3,-4)
Hope this helps :)
D is 32 - g by the way
Answers
A newspaper article about an opinion poll says that 43% of Americans approve of the president's overall job performance." Toward the end of the article, you read: The poll is based on telephone interviews with 1210 adults from around the United States, excluding Alaska and Hawaii." What variable did this poll measure? What population do you think the newspaper wants information about? What was the sample? Are there any sources of bias in the sampling method used?
Answers
Answer:
Can you space it out a bit more to understand better.
Step-by-step explanation:
translate this phrase into an algebraic expression
three more than the product of 17 and Vanessa height
use the variable v to represent Vanessa height
Answers
product= multiplication
v= Vanessa height
Expression: 17 times v, plus 3
= (17 * v) + 3
= 17v + 3
ANSWER: 17v + 3
Hope this helps! :)
A tree cast a 24 foot shadow. A 5 foot person cast an 8 foot shadow. How tall is the tree ?
Answers
8x=240=30 ft
8x=120
X= 15
This room has an oil stain on the floor. Tyler wants to rotate the rug so that it covers the stain. What kind of rotation should be performed on the kite-shaped rug? Be sure to specify the center of rotation and the direction (clockwise or counter-clockwise).
Answers
Answer:
Rotate clockwise around right most point.
Step-by-step explanation:
We are given that,
The room has an oil stain as shown in the graph.
It is required to rotate the kite figure to fully cover the stain.
So, we get,
If we rotate the figure clockwise, it will completely cover the stain.
Moreover, the figure should be rotated around the right most point clockwise, which will become the center of rotation.
Please write an equation for the problem below! NEED ASAP
Anna is in a phone booth with $1.35 in change. a call home costs 60 cents for the first five minutes and 15 cents for each additional minute. How long can she talk?
Answers
Camryn practice the trumpet every 11th superscript day and the flute every 3rd superscript day.camryn practiced both the trumpet and the flute today. How many days until camryn practices the trumpet and flute again in the same day?
Answers
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33
11, 22, 33
They both will happen on the 33rd day, so Camryn will have both lessons again in 33 days.
How many inches in 17.5 feet
Answers
bc u need to multiply 17.5 x 12
have fu n :)
What is the square root of 18y over 36y to the third power? - I need to show work!
Answers
[tex]\dfrac{1}{y\sqrt2}=\dfrac{1}{y\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2y}[/tex]
A plane is flying at an altitude of 12,000 meters. From the pilot the angle of depression to the airport is 32. How far is the tower from a point directly beneath the plane?
Answers
can yall help me with this tell me your answer step by step plz
Answers
Answer:
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer is B or # 2
The graph touches, but does not cross, the x–axis at x = ⇒ 4.
The graph of the function crosses the x–axis at x = ⇒ 0
Step-by-step explanation:
Find the area of the triangle. (round to the nearest whole number)
Answers
============================================================
Explanation:
Check out the attached image. I've added in points A through D. The points A,B,C are the vertices of the largest triangle. Point D is directly below point A, and point D is on segment BC.
To find the area of the largest triangle ABC, we need the base length BC, which is broken up into segments x and y
x = length from C to D
y = length from D to B
Let's find x first
Triangle ADC is a right triangle, so we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2 + 15^2 = 17^2
x^2 + 225 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Follow similar steps to find y
a^2 + b^2 = c^2
y^2 + 15^2 = 25^2
y^2 + 225 = 625
y^2 = 625 - 225
y^2 = 400
y = sqrt(400)
y = 20
Therefore
BC = x+y
BC = 8+20
BC = 28
The base of the triangle ABC is BC = 28 units
b = base
b = 28
The height is AD = 15
h = height
h = 15
We can now find the area of triangle ABC
Area = b*h/2
Area = 28*15/2
Area = 420/2
Area = 210
The area of the triangle is 210 square inches
find the value of sin2a, if tana=-12/5 in the fourth quadrant
Answers
Recall the following identities:
[tex]1+\tan^2a=\sec^2a=\dfrac1{\cos^2a}[/tex]
[tex]\cos^2a=\dfrac{1+\cos2a}a[/tex]
from which we get
[tex]1+\left(-\dfrac{12}5\right)^2=\dfrac1{\cos^2a}[/tex]
[tex]\implies\cos^2a=\dfrac{25}{169}[/tex]
Since [tex]a[/tex] is in the fourth quadrant [tex]\left(\dfrac{3\pi}2<a<2\pi\right)[/tex] we know that [tex]\cos a[/tex] should be positive, so when we take the square root here, we should take the positive root.
[tex]\implies\cos a=\sqrt{\dfrac{25}{169}}=\dfrac5{13}[/tex]
Now recall that
[tex]\cos^2a+\sin^2a=1[/tex]
and since [tex]a[/tex] is in the fourth quadrant, we expect [tex]\sin a[/tex] to be negative. So,
[tex]\sin^2a=1-\cos^2a=\dfrac{144}{169}\implies\sin a=-\sqrt{\dfrac{144}{169}}=-\dfrac{12}{13}[/tex]
One final identity:
[tex]\sin2a=2\sin a\cos a[/tex]
from which we get
[tex]\sin2a=2\cdot\left(-\dfrac{12}{13}\right)\cdot\dfrac5{13}=-\dfrac{120}{169}[/tex]
Find the area of the shaded region. Use 3.14 for pi. Do not round. Use a calculator. Number 20 and 21. Ty.
Answers
circle- 3.14x10^2=3.14x100=314
400-314=86
86m^2
21.i don't get 21 sorry
solve for x please!!!!
Answers
11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
Which word fits in both sentences
after your brother asked a simple question why did you ____ at him?
I made a ____ decision that I regretted later.
A) shout
B) sudden
C) easy
D) snap
Answers
after your brother asked a simple question why did you Snap at him?
I made a Snap decision that I regretted later.
if 3x + y = k (x-3), then x =
Answers
X =[tex] \frac{3k+y}{k-3} [/tex]
Pyramid-shaped gift boxes have a square bases that measure 5 inches on each side. The slant height is 6.5 inches. How much cardboard is used to make each box?
Answers
(5 x 6) + (5 x 0.5)
5 x 6 = 30
5 x 0.5 = 2.5
30 + 2.5 = 32.5
The answer is 32.5, hope this helped!
The cardboard is used to make each box is 90 in²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, pyramid-shaped gift boxes have a square bases that measure 5 inches on each side, the slant height is 6.5 inches.
We need to find that how much cardboard is used to make each box,
For the same we will simply find the surface area of the box,
So,
SA = b² + 2bs
= 5²+2(5)(6.5)
= 25+65
= 90 in²
Hence, the cardboard is used to make each box is 90 in²
Learn more about surface areas, click;
https://brainly.com/question/29298005
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help plz !
can someone help with 2 a and 2 b ?
Answers
Ron=20-5x
Molly + Ron=(4x+10)+(20-5x)=(10+20)+(4x-5x)=30-x.
Answer: they have all togehter 30-x
and for the answer for the second question
4x+10-(20-5x)
4x+10-20+5x
9x-10
Describe the type of angles formed when you divide a circle into 4 equal parts
Answers
when a circle is divided into four equal parts, we will get 4 right angles
so
360°/4=90° each part
see the attached figure to better understand the problem
When we divide a circle into 4 equal parts, the angles formed are the right angles.
When a circle is divided into 4 equal parts, we get 4 quarters of the circle.
What is a quarter of a circle?The area that is intercepted by two radii that are at 90° to each other and a quarter portion of the circumference of a circle is known as a quarter circle.
In a quarter of a circle, the angle between radii is 90 degrees.
So, When we divide a circle into 4 equal parts, the angles formed are the right angles.
Hence, When we divide a circle into 4 equal parts, the angles formed are the right angles.
To get more about circles visit:
https://brainly.com/question/24375372