Answer:
44 units
Step-by-step explanation:
When you perform a dilation on a figure, all of the side lengths of the figure get multiplied by the scale factor. This means that the perimeter is also multiplied by that scale factor. Since in this case that scale factor is 2, the new perimeter is 22*2=44 units. Hope this helps!
Answer:
44 units.
Step-by-step explanation:
Dilation is the transformation of an image's size by a scale factor.
The scale factor is given 2.
The rectangle has a perimeter of 22.
22 × 2 = 44
The perimeter for the resulting image is doubled by the scale factor of 2.
90 POINTSSS PLEASE HELP!!!!!
Triangle C D E is translated down and to the right to form triangle C prime D prime E prime. Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?
ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'
The correct option is (B).ΔDCE ≅ ΔD'C'E'
Given,
Triangle CDE is translated down and to the right, forming triangle C'D'E'.
We have to find which statement is correct.
We know that,Triangle has three angles so when we translated it down it doesn't change.
Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.
Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So
[tex]CD =C'D'[/tex]
[tex]\ CE = \ C'E'[/tex]
[tex]DE =D'E'[/tex]
So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.
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Answer: It's B. I hope this helps!!!!
Angela bought 10 stamps that cost $1 or $1.20.
Altogether, her total was $11. How many of each $1 stamps and how many of
each $1.20 stamps did she buy?
Answer:
Let the first equation be x + y = 10
x = 10 -y
2nd equation will be 1x + 1.2y = 11
Substituting in 2nd equation
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
.2y = 1
y = 5
If y = 5, x = 5: coz x + y = 10
She have buy 5 stamps of each $1 stamps and 5 stamps of each $1.20 stamps.
What is a linear equation?
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Let the first equation be;
x + y = 10
x = 10 -y
2nd equation will be,
1x + 1.2y = 11
Substituting in 2nd equation;
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
0.2y = 1
y = 5
If y = 5, x = 5:
x + y = 10
Hence, She have buy 5 stamps of each $1 stamps and 5 stamps of
each $1.20 stamps.
Learn more about linear equations;
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A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?
Answer:
70 degrees
Step-by-step explanation:
Answer:
70 that my answer and so they can reach
Which expression gives the distance between the points (2,3) and (4,-3)?
Answer:
D
Step-by-step explanation:
D is the only answer with the correct distance formula format and the correct numbers inside the parentheses
Tyler flies a plane against a headwind for 4320 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Tyler fly the plane when there is no wind?
Answer:
The plane travels at a speed of 66 miles per hour without wind.
Step-by-step explanation:
Tyler trip has to stage, the first one where he went against the wind and the second where he returned with the wind. We know that the wind speed is 6 mph, if we attribute the variable "x" to the speed of the plane without wind, then on the first stage of its trip the total speed relative to the ground was "x - 6", while on the return trip it was "x + 6". We also know that the distance between the trips was the same 4320 miles, but the second stage was 12 hours faster. We will use the average speed formula to solve this problem, this is shown below:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]
For the first trip the speed was:
[tex]x - 6 = \frac{4320}{\text{time}_1}\\\\\text{time}_1 = \frac{4320}{x - 6}[/tex]
For the second trip the speed was:
[tex]x + 6 = \frac{4320}{\text{time}_2}\\\\\text{time}_2 = \frac{4320}{x + 6}[/tex]
Since the time for the second trip was 12 hours less, then if we add 12 to the second equation it should be equal to the first, so:
[tex]time_2 + 12 = time_1[/tex]
[tex]\frac{4320}{x + 6} +12 = \frac{4320}{x - 6}\\\frac{4320}{x+ 6} - \frac{4320}{x - 6} = -12\\\frac{4320*(x - 6) - 4320*(x + 6)}{x^2 - 36} = -12\\4320*x - 25920 - 4320*x - 25920 = -12*x^2+ 432\\-51840 = -12*x^2 +432\\12*x^2 =51840 + 432\\x^2 = \frac{52272}{12}\\x^2 = 4356\\x = 66[/tex]
The plane travels at a speed of 66 miles per hour.
Please I need help, DONT SKIPP
Answer:
P(Take the bus | Sophomore) = 0.83
Step-by-step explanation:
For a conditional probability (As given in the example),
P(A|B) is read as,
"The probability of event A occurring given that event B has occurred"
Here event A = Sophomore take a bus
Event B (occurred) = (Drive to school + Take the bus + Walk)
Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]
= [tex]\frac{25}{30}[/tex]
= 0.833
≈ 0.83
P(Take the bus | Sophomore) = 0.83 will be the answer.
Find X to the nearest tenth
A 14.4
B 4.8
C 1.7
D 9.4
Answer:
Step-by-step explanation:
The 2 smaller triangles are proportionate to one another because they are 2 parts of the same larger triangle. Setting up the proportion, one triangle at a time:
[tex]\frac{x}{8.3} =\frac{11.6}{6.7}[/tex] and cross multiply to get
6.7x = 96.28 so
x = 14.37 or 14.4, choice A.
Find the equation of the line through point (1,−5) and perpendicular to y=18x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answer:
y = -1/18x - 89/18
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative reciprocal of the original line
m = -1/18
Step 2: Find b
y = -1/18x + b
-5 = -1/18(1) + b
-5 = -1/18 + b
b = -89/18
Step 3: Rewrite entire equation
y = -1/18x - 89/18
Sandpiper Sightseeing Tours purchased a new van for the business.
On the first trip, Jesse drove 2 hours at an average speed of 55 mph.
How far did Jesse travel?
Can somebody help me with this ?? :)
Answer:
Step-by-step explanation:
You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.
I hope I've helped you.
ANYONE GOOD WITH CALCULUS?! PLEASE HELP ME!!! Use the antiderivative formula shown, where f(u) represents a function. Which function represents f(u)?
Answer: B
Step-by-step explanation:
For this problem, we can use Integration by Parts to find f(u).
∫(ln u) du x=ln u dx=1/u du
dv=du v=u
u(ln u)-∫u(1/u)du
u(ln u)-∫1 du
u(ln u)-u+C
Looking at the placement of f(u), we know that f(u) is u (underlined above).
If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz
[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
What is the value of the expression when n = 3?
GO
- 2 n(5 + n-8-3n)
Answer:
54
Step-by-step explanation:
since n = 3
= -2n ( 5n+n-8-3n)
= -2 (3) ( 5+(3)-8-3(3) )
= -6 (5+3-8-9)
= -6 (5-5-9)
= -6 (-9)
= 54.
What is the value of x? Enter your answer in the box. x =
Answer:
4 units
Step-by-step explanation:
Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA
Line LJ is the opposite side while LK is the hypotenuse side. Hence,
Sin 30 = LJ/8√2
LJ = 8√2 × 1/2
= 4√2
Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.
Sin 45 = x/4√2
x = 4√2 × 1/√2
x = 4
Answer:
4
Step-by-step explanation:
Just took the test in k12
*WILL MARK YOU BRAINLIEST!!!*
Answer:
C.
Step-by-step explanation:
Look at the image
Please help me………………………
The square root of 81/625 = 0.36
The square root of x^2 = x
The square root of y^2 = y
25 x 0.36 = 9
X *x = x^2
Y*y = y^2
Final answer = 9x^2y^2
Answer:
The answer is option d. 9x²y²
Step-by-step explanation:
25xy√81/625x²y²
= 25xy × 9/25xy
= 9x²y²
Hope this helps.
Select the ones that correctly demonstrate the operations of scientific notation
Note that more than one option may be correct. Select all the correct answers
A. (4.0 x 103)(5.0 x 105) = 2 x 10^9
B. 4.5x105/9.0x10° = 2 x 10^4
C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5
D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3
Answer:
A and C
Step-by-step explanation:
A. \
(4.0 x 5.0)(10^3 x 10^5)
20 x 10^8
2.0 x 10^9
B. doesn't work, do not understand last number
C.
(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything
4.8 x 10^5
D.
(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal
Do not need to subtract powers, hence D is untrue
help me for brainliest answer
Answer:
Step-by-step explanation:
Pattern 6 will have 35
b) give reasons for your answer
Answer:
80° is the correct answer
Step-by-step explanation:
The angle B is 100° because of the property of the vertically opposite angle.
As we know the property consecutive interior angle that the sum of two angle is 180°
So
Angle B + Angle X =180°
100 °+ Angle X =180°
Angle X=180°-100°
Angle X = 80°
pls Answer it step by step.
I WILL MARK BRAIN LIST.
Answer:
Step-by-step explanation:
Find the area of a circle with radius 7 ft.
Answer:
153.9 ft²
Step-by-step explanation:
The area for a circle formula is πr².
Using the radius, we get:
π×7² =
49π ≈
153.938 ≈ (Using the π key)
153.9 ft²
Answer:153.86
Step-by-step explanation:area of a circle is πr square
That is 3.14×49
=153.86
Convert 2 3/4 to a decimal number.
Answer:
2.75
Step-by-step explanation:
3/4 is .75 in decimal
Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.
Answer:
19/5
Step-by-step explanation:
Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.
Para hacer esto, agregamos todas las millas recorridas.
Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.
La fracción impropia es así (5 * 3) + 4/5 = 19/5
uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?
Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
the area of polygon MNOPQR = area of a rectangle that is 15 square units + area of a rectangle that is ___ square units. (input whole numbers only, such as 8)
im not understanding too well so...please help :/
Answer:
The answer is 2.
Step-by-step explanation:
3 - 2 = 1
7 - 5 = 2
2 x 1 = 2
how many 3/8’s are in 3
Answer: 8 times
Step-by-step explanation:
Youre essentially doing 3 divided by 3/8.
3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.
[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]
There are eight (8) 3/8’s are in 3
The number of 3/8’s in 3 can be obtained by dividing 3 by 3/8. That is;3 ÷ 3/8N.B: Due to the division sign, the 3/8 is arranged inversely while the sign changes to multiplication (×) as follows:= 3 × 8/3= 24/3= 8This means that there are eight (8) 3/8’s are in 3.Learn more at: https://brainly.com/question/25353016?referrer=searchResults
Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2 + b
URGENT!
*silly answers will be reported
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:
[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]
Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
[tex]3x=2ax\\4=a^2+b[/tex]
So, using the first equation and solving for a, we get:
[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]
Finally, replacing the value of a in the second equation and solving for b, we get:
[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]
Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings.
Answer:
Step-by-step explanation:
Value of firm = Number of shares×Market price per share
= 450,000 × $15
= $6,750,000
Value of debt = $825,000
Weight of debt = $825,000 / $6,750,000 = 12.22%
Number of shares continue to own = 20,000 × (1 - 12.22%) = 17,555.56 or 17,556 shares
Number of shares continue to own = 17,555.56 or 17,556 shares
What is the equation of the line shown written in slope-intercept form?
y = -2
y = 2
x = 2
Answer:
The equation of the line is y = 2.
Step-by-step explanation:
When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :
[tex]y = mx + b[/tex]
[tex]let \: m = 0 \\ let \: x = 5 \\ let \: y = 2[/tex]
[tex]2 = 0(5) + b[/tex]
[tex]b = 2[/tex]
[tex]y = 2[/tex]
Answer:
it would be Y=2 as it's a horizontal line at y=2
Rebecca went on a 240 mile trip to a soccer game. On the way back, due to road construction she had to drive 12 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? She drove _______ mph on the way to the soccer game.
Answer:
20mph
Step-by-step explanation:
because you have to divide 240 by 12 and the answer is 20