Given:
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'. So,
[tex]E'F'=\dfrac{3}{4}\times EF[/tex]
From the given figure it is clear that [tex]EF=12[/tex]. So,
[tex]E'F'=\dfrac{3}{4}\times 12[/tex]
[tex]E'F'=9[/tex]
Therefore, the measure of side E'F' is 9 units.
14. A boy completes a 100 m circular track race in 5 min. Another boy runs in the same
time
completes the race in 6 minutes. If they start from the same point then after how many
will they meet at the starting point
Find the smallest 3-digit number which is exactly divisible by 5.10 and 20
Answer:
ee
Step-by-step explanation:
i need help !ASAP!
(screenshot below)
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
B
68°
A
E
D
EB
15. What is the length of CD? (Use 3.14 for $7)
a
31.68
b
29.31
23.14
17.79
Answer:
b = 29.31
Step-by-step explanation:
Given:
m<CEB = 68°
EB = radius = 15
Required:
Length of arc CD
Solution:
Length of arc CD = θ/360 × 2πr
Where,
θ = 180° - 68° = 112° (angles on a straight line)
π = 3.14
r = radius = 15
Plug in the values
Length of arc CD = 112/360 × 2 × 3.14 × 15
= 29.3066667
≈ 29.31
3 units to the right of 8 answer
Answer:
11
Step-by-step explanation:
If you're at 8 and move 3 to the right in a number line, you would end up at 11.
What's the probability of drawing a black card, putting the card back into the deck (replacement), and then drawing a red card? Write the whole decimal.
i dont no okay please stop
can someone help with this please its geometry :)
Answer:
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=108
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=180
Step-by-step explanation:
hey its me
Solve for x.
-32 > -5 +9x
Enter your answer, as an inequality, in the box.
Answer:
-3>x.
Step-by-step explanation:
I did mental math.
What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?
Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\
Step-by-step explanation:
Alex rolls a 6-sided dice ten times.
Here are her scores.
3 2 4 6 3 6 1 2 5 4
Work out the median of her scores.Single line text.
(2 Points)
10.Q10b. Using the data above, work out the mean of her scores.Single line text.
(2 Points)
11.Q10c. Using the data above, work out the range of her scores.Single line text.
(1 Point)
Answer:
Hello Love! The median is simply just the number in the middle so sense we have 2 numbers in the middle our median will be 3 and 6
The mean is when you add up the numebers then divide by how many numbers there are so...
3 + 2 + 4 + 6 + 3 + 6 + 1 + 2 + 5 + 4 = 36 so 36 divided by 10 is 3.6
The range is simply just the biggest number in the sequence subtracted by the smallest number so... 6 - 1 = 5 so 5 would be our range!
Hope this helps you.
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers.
Step-by-step explanation:
Let y the number of wrong answers got.
[tex]11( + 4) + ( - 1)y = 40 \\ 44 - y = 40 \\ - y = - 4 \\ y = 4[/tex]
∴ He got 4 wrong answers.
Identify this shape below
Grace and her friends just dined at a restaurant and left a tip of
$16.93, which was equal to exactly 22% of the total bill. What
was the total bill in dollars? Round your answer to two decimal
places.
Answer:
$76.95
Step-by-step explanation:
If you reverse it the equation is 16.93 divided by .22 and you get the total which is 76.95
You can check your answer by doing 76.95 times .22 and get the tip which is 16.93
PLEASE MARK ME BRAINLIEST
Help due in 45 minutes!!!
Answer:
x = 5, y = -3
Step-by-step explanation:
2x - 3y = -1 ---› Eqn. 1
-2x + y = 7 ----› Eqn. 2
Add both equations
-2y = 6
Solve for y
y = 6/-2
y = -3
Substitute y = -3 into Eqn. 1.
2x - 3(-3) = -1
2x + 9 = -1
2x + 9 - 9 = -1 - 9
2x = -10
2x/2 = -10/2
x = 5
Solution: x = 5, y = -3
The radius of the planet Saturn is 945% of the radius of Earth. What is 945% expressed as a fraction and as a decimal?
PLZ HELP
(don't send link and there no photo)
Answer:
Decimal: 9.45 Fraction: 236.35/25
Step-by-step explanation:
sorry if the fraction one is wrong.
What is the area of this parallelogram?
h = 2 in.
b = 10 in
Answer:assuming it’s not a 3D object then, 2x10=20
If it is, then do the base 2x10 then times the height
Step-by-step explanation:
hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help
Answer:
4a) Irrational
Step-by-step explanation:
The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.
For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.
what are the missing numbers?
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
[tex]10=a(b)^1[/tex] ...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
[tex]20=a(b)^2[/tex] ...(iii)
Dividing (iii) by (ii), we get
[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]
[tex]2=b[/tex]
Putting [tex]b=2[/tex] in (ii), we get
[tex]10=a(2)^1[/tex]
[tex]\dfrac{10}{2}=a[/tex]
[tex]5=a[/tex]
Putting [tex]a=5,b=2[/tex] in (i), we get
[tex]y=5(2)^x[/tex]
The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
If triangle ABC has the following angle measurements, what is the measure of Angle A, Angle B, and Angle C?
m\angle A=7x-12m∠A=7x−12
m\angle B=8x+20m∠B=8x+20
m\angle C=5x+8m∠C=5x+8
m∠A=
m∠B=
m∠C=
the answer for this equation is 499 + 199 equals 599
WILL GIVE BRAINLIEST. SHOW WORK PLEASE
Answer:
See explanation
Step-by-step explanation:
a. [tex]\int\limits^4_1 {(f + g)(x)} \, dx = \int\limits^4_1 {f(x)} \, dx + \int\limits^4_1 {g(x)} \, dx = 11 + 17 = 28[/tex]
b. [tex]\int\limits^6_4 {f(x)} \, dx = \int\limits^6_1 {f(x)} \, dx - \int\limits^4_1 {f(x)} \, dx = 23 - 11 = 12[/tex]
c. [tex]\int\limits^4_1 {3f(x)} \, dx = 3\int\limits^4_1 {f(x)} \, dx = 3(11) = 33[/tex]
d. [tex]\int\limits^4_1 {(g(x) + 2)} \, dx = \int\limits^4_1 {g(x)} \, dx + \int\limits^4_1 \, 2dx = 17 + (8 - 2) = 17 + 6 = 23[/tex]
find the surface area
Answer:
Surface area of what?
You can ask the question again but also add the pic so that we can help :)
lol find the surface of area what????? i can’t see anything
the circumference of a circle is
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
Which figure has at least one acute angle ,one obtuse angle and one right angle?
Answer: Acute triangle has an acute angle and obtuse triangle equals an obtuse angle.
Step-by-step explanation:
Nervous system escape room.
1. 5(2a-b)
2.7(3x+y)-(2x -y)
3.(a+4) (a+3)
4.(5x+y) (2x+3y)
5.(m+n) (m-n)
6.(p- 2q) (p-2q)
Answer:
1. 10a - 5b
2. 19x + 8y
3. a2 + 7a + 12
4. 10x2 + 17xy + 3y2
5. m2 - n2
6. p2 - 4pq + 4q2
A triangle has a perimeter of 74 inches. If the three sides of the triangle are n, 3n+6, and 3n−2, what is the length of each side?
Answer:
N=10
3n+6=36
3n-2=28
Step-by-step explanation:see photo
PLZ HELP I WILL MARK BRAINLIEST
Answer:
Image wont load can you explain the problem to me through comments pls?
Step-by-step explanation:
The posted speed limit is 45 miles per hour.
Choose all the metric measures that are faster than 45 miles
per hour.
A. 45 km per hour
B. 64.1 km per hour
C. 86.4 km per hour
D. 91 km per hour
E. 112.3 km per hour
WILLL MARK BRAINLIEST IF GOTTEN RIGHT!!!! (CARIRDE)))) HELP GIRL!
Answer:
55°
Step-by-step explanation:
Let the centre of the circle be C
mFG=110 (It's hard to read but I assume thats what the 110 marks)
mFG=<FCG=110
Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°
<EFG+<CFG=90
<EFG+35=90
<EFG=55°