What is the value of x?
Answer:
x=4
Step-by-step explanation:
from first trangle we found LJsin(30)×8×√2 = length of LJ
And then find x from[tex] \sin(45) = \frac{x}{4×√2} [/tex]
x = 4
f is inversely proportional to √g
.When f=12, g=64
Work out g when f=16
Answer:
36
Step-by-step explanation:
f * √g = k
12 * √64 = k
k = ± 96
g = k² / f² = (± 96)² / 16² = 36
Answer:
g = 36
Step-by-step explanation:
Given f is inversely proportional to [tex]\sqrt{g}[/tex] then the equation relating them is
f = [tex]\frac{k}{\sqrt{g} }[/tex] ← k is the constant of proportion
To find k use the condition when f = 12 , g = 64 , then
12 = [tex]\frac{k}{\sqrt{64} }[/tex] = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
96 = k
f = [tex]\frac{96}{\sqrt{g} }[/tex] ← equation of proportion
When f = 16 , then
16 = [tex]\frac{96}{\sqrt{g} }[/tex] ( multiply both sides by [tex]\sqrt{g}[/tex]
16 × [tex]\sqrt{g}[/tex] = 96 ( divide both sides by 16 )
[tex]\sqrt{g}[/tex] = 6 ( square both sides )
g = 6² = 36
If the sale price is is $75 and the discount is 20% off, what is the original price?
let the original price be x.
x-20% of x= 75
= x- 0.20x= 75
= 0.8x= 75
= x= 75/0.8
=x= 93.75
Answer: the original price is $93.75
pls mark me brainliesttt :))
5.(x-3)= please help
Step-by-step explanation:
5(x-3) = 0
5x-15=0
5x=15
x=15/5
x=3
i think you added the dot after 5 by mistake so yes this is how i could solve
what is the value of 1 in 915,342,760
the 1 is in the 10 million place
−n+(−4)−(−4n)+6 find equivalent expressions PLZ
Answer:
3n+2
Step-by-step explanation:
−n+(−4)−(−4n)+6
Combine like terms
−n−(−4n)+6+(−4)
A negative negative is like adding
−n+(4n)+6+(-4)
3n+2
Drag each number to show whether it is equal to 2/10, 2/100, or neither.
Answer:
20/10 goes to neither since it equals 2
0.02 goes to 2/100 since it is the same as 0.02
200 goes to neither because it is over 2/10 and 2/100
0.20 goes to 2/10 since 2/10 is equal to 0.20
2.0 goes to neither because it equals 2
Hope this helped
Step-by-step explanation:
URGENT a right triangle is shown enter the value of x
Answer:
Hello! answer: 10
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore x = 10 hope that helps!
Point k is on line segment JL. Given JL = 4x+2, KL = 5x-6, and JK = 3x, determine the numerical length of JK.
Answer:
6 units
Step-by-step explanation:
JK + KL = JL
3x + 5x-6 = 4x+2
8x-6 = 4x+2
subtract 4x from each side to get:
4x - 6 = 2
add 6 to each side to get:
4x = 8
x = 2
JK = 3x and x=2 so JK = (3)(2) or 6
The numerical length of JK = 6
What is Line Segment?
" A line segment is a line section that can link two points. "
We know that point K is divide line JL
Given that JL = 4x+2
KL = 5x-6
JK = 3x
So, Equation is JK+KL = JL
3x+5x-6 = 4x+2
8x-6 = 4x+2
8x-4x = 2+6
4x = 8
x = 8/4
x = 2
So , numerical length of JK = 3x
JK = 3×2
JK = 6
Hence , length of JK is 6
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What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?
The answer is (-1,-3)
All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.
help asap please!!!!
Answer:
9 pi
Step-by-step explanation:
First find the circumference of the circle
C =2 * pi *r
C = 2 * pi *9
C = 18 pi
This is a semicircle which is 1/2 of a circle
Take 1/2 of the circumference
1/2 C = 1/2 ( 18 pi)
1/2 C = 9 pi
In 2017, Sage went to dance class four hours a week. In 2018, the amount of time she goes to dance class has increased by 40%. How many hours does Sage go to dance class now? Your answer will be a decimal.
Answer:
1.6 hours
Step-by-step explanation:
40% of 4
turn 40% to a decimal by moving the percent to the left twice (0.40)
multiply 0.40 by 4
you get 1.6
1.6 is your answer
hope i helped, tell me if you get it right! :)
pls help me asap :(
Which of the following values "completes the square," or creates a perfect square trinomial, for x2 − 12x + ___?
x^2-12x+(6)^2 is correct answer
Can y’all help me plz
Answer:
Step-by-step explanation:
I think it is A
Answer:
A. 54 pie cm³
Step-by-step explanation:
height of the cylinder = 6 × radius of one sphere.
= 6 × 3
= 18 cm
as we can see 3 spheres make up the height of one cylinder,
height of one sphere = 6 cm (3 + 3)
with three spheres it becomes = 6 × 3
= 18 cm
volume of a cylinder = [tex]\pi[/tex] r² h= [tex]\pi[/tex] × (9)² × 18
= 27 × 6 [tex]\pi[/tex]
volume of a sphere = 4/ 3 × [tex]\pi[/tex] 3³= 36 [tex]\pi[/tex]
for 3 spheresvolume = 3 × (36 [tex]\pi[/tex] )
= 27 × 4 [tex]\pi[/tex]
volume of the empty space
= volume of cylinder- volume of 3 spheres
= 27 × 6 [tex]\pi[/tex] - 27 × 4 [tex]\pi[/tex]
= 27 [tex]\pi[/tex] ( 6 - 4)
= 27 × 2 [tex]\pi[/tex]
= 54 [tex]\pi[/tex] cm³Plz help, and show details, will give brainliest to best answer
Which of the sets of ordered pairs represents a function?
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Only A
Only B
Both A and B
Neither A nor B
Answer:
Both A and B
Step-by-step explanation:
They both pass vertical line test
A painting without its frame has a width 2.5 times its height, h, in inches. Its frame is 3 in. wide all along its perimeter. What is an expression for the area of the framed painting in terms of h? A. 2.5h2 B. 2.5h2 + 6 C. 2.5h2 + 36 D. 2.5h2 + 21h + 36
Answer:
2.5h^2 + 21h + 36
Step-by-step explanation:
Height = h
width = 2.5h
border = 3 in.
Overall height = h+6
Overall width = 2.5h+6
Overall area
= (h+6)(2.5h+6)
= 2.5h^2 + 15h + 6h +36
= 2.5h^2 + 21h + 36
plzz ans quick now plzz plzz plzz
Rational
OPTION A is the correct answer
Answer:
A is the correct answer! :)
Step-by-step explanation:
have a nice day!~
88 Square centimeter in Square millimetres?
Answer:
8800 (Square Millimeters)
2⁄5 of 3⁄4= ..... what this equal
Answer:
3/10
Step-by-step explanation:
Of means multiply
2/5 * 3/4
Rewriting
2/4 * 3/5
1/2*3/5
3/10
-) Solve
2x - 1>9
Answer:
Answer:
Step-by-step explanation:
2x-1>9
2x-1>9=0
2x-1=0-9
2x-1=-9
2x=-9+1
x=-8/2
x=-4
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Suppose you are making a deposit into your checking account. You have a check for $350, cash and coins totaling $225 and you want to receive a $100 bill. What is the total deposit amount? (Show your work)
Answer:
The total deposit amount is 225.
Step-by-step explanation:
-350 + 225 + x = 100
-125 + x = 100
x = 225
Hope this helps. :)
Stay safe, happy, and healthy. Have a great day!
In parallelogram ROCK shown below, m angle ROS=65^ and m angle OCK=70^ . What is the measure of angle R ? Explain why
Answer:
angke R is 70
Step-by-step explanation:
opposite angle of a parallelogram are equal.
I.e. angle C = angle R = 70
Answer:
70
Step-by-step explanation:
In a parallelogram, (I) opposite angles are congruent.
(II) Adjacent angles are supplementary.
(III) Opposite sides are equal and parallel.
(Iv) Diagonals bisect each other
Angle R and angle C are opposite angles as they don't share any arm's(sides).
∠R = ∠C = 70
Two numbers multiply to be 4 and add to be -5
Answer:
-1, -4
Step-by-step explanation:
x + y = -5
x×y = 4
=>
x = -5 - y
=> (-5 - y) × y = 4
-5y - y² = 4
y² + 5y + 4 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 5
c = 4
x = (-5 ± sqrt(25 - 16))/2 = (-5 ± 3)/2
=> x = -2/2 = -1 or x = -8/2 = -4
=> y = 4/-1 = -4 or y = 4/-4 = -1
since the sequence in an addition and multiplication does not make any difference, the two numbers are simply -1 and -4
How many solutions does this equation have one, none, or infinite 12+2i-i=9i+6
Answer:
i=3/4
Step-by-step explanation:
Assuming that we are treating "i" as a variable and not the constant "i":
12+2i-i=9i+6
12+i=9i+6
12=8i+6
6=8i
8i=6
i=6/8
i=3/4
Therefore, the equation has only one real solution which is i=3/4
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
To It’s centered around 0.25 then the parameter would be 0.25.
We have given,
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25
We have to determine which of the given is most likely the population parameter.
What is the center parameter in the large sample?
A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.
To It’s centered around 0.25 then the parameter would be 0.25
Therefore option A(0.25) is correct
To It’s centered around 0.25 then the parameter would be 0.25.
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The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 8,6,9,9, 8, 8 Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
mean=6+8+8+9+9+10divided 6 =
Answer:
1.
Step-by-step explanation:
The mean score is (8+6+9+9+8+8)/ 6
= 48/8
= 8.
Deviations from the mean are 0 , -2, 1, 1, 0, 0
Squares of these deviations are 0, 4, 1, 1, 0, 0
So the variance = (0 + 4 + 1 + 1 + 0 + 0)/ 6 = 1
Standard deviation = √1 = 1.
Exit
A park ranger wants to estimate the number of fish in a lake.
She catches 400 fish.
She marks them with ink and puts them back in the lake.
The next day she catches 60 fish.
There are 3 marked with ink.
Work out how many fish the ranger would expect to have in the whole lake.
(3 marks)
458 fishes
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The answer is in the picture. Click on it.
Find AB
I need help !
9514 1404 393
Answer:
d. AB = 54
Step-by-step explanation:
The triangle is isosceles, so AB = AC.
(4x +6) = (5x -6)
12 = x . . . . . . . . . . . . add 6-4x to both sides
Then the length of AB is ...
AB = 4x +6 = 4(12) +6 = 48 +6
AB = 54