Answer:
[tex]\huge\boxed{x=6}[/tex]
Step-by-step explanation:
[tex]\triangle ABC\ \text{and}\ \triangle ADB\ \text{are similar (AA). Therefore corresponding sides are in proportion.}\\\\\dfrac{BD}{BC}=\dfrac{AB}{AC}\\\\\text{We have}\\\\BD=x\\BC=10\\AB=7.5\\AC=12.5\\\\\text{Subtitute:}\\\\\dfrac{x}{10}=\dfrac{7.5}{12.5}\\\\\dfrac{x}{10}=\dfrac{7.5\cdot10}{12.5\cdot10}\\\\\dfrac{x}{10}=\dfrac{75:25}{125:25}\\\\\dfrac{x}{10}=\dfrac{3}{5}\qquad|\text{cross multiply}\\\\(5)(x)=(3)(10)\\\\5x=30\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{30}{5}\\\\x=6[/tex]
select the right answer
Answer:
Blurry po
Step-by-step explanation:
Pwede kunan nyu ulit
Answer my question please!! i will give brainlest!
Answer:
hello u so cool i admire you <3
Determine the value of x in the diagram,
108°
72
1080
Answer:
72
Step-by-step explanation:
parallel sides= same angle.
also alternate angles theorem shows that if angles that alternate are the same. 72,108,72,108
Find the value of f(-4)?
Answer:
Step-by-step explanation:
This question is asking you to find the value of y when x = -4. If you locate the x value of -4, y = -10 here. Therefore, f(-4) = -10 and in coordinate form, (-4, -10).
HELP ASAP PLEASE I NEED ANS N SOLUTION
A bowl contains 25 chips numbered 1 to 25. If a chip is drawn randomly from the bowl, what is the probability that it is
a. 9 or 10?
b. even or divisible by 3?
c. divisible by 5 and divisible by 10?
Given:
A bowl contains 25 chips numbered 1 to 25.
A chip is drawn randomly from the bowl.
To find:
The probability that it is
a. 9 or 10?
b. even or divisible by 3?
c. divisible by 5 and divisible by 10?
Solution:
a. We have,
Number of total chips = 25
Favorable out comes are either 9 or 10. So,
Number of favorable outcomes = 2
The probability that the selected chip is either 9 or 10 is:
[tex]\text{Probability}=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{2}{25}[/tex]
Therefore, the probability that the selected chip is either 9 or 10 is [tex]\dfrac{2}{25}[/tex].
b. The numbers that are even from 1 to 25 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.
The numbers from 1 to 25 that are divisible by 3 are 3, 6, 9, 12, 15, 18, 21, 24.
The numbers that are either even or divisible by 3 are 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24.
Number of favorable outcomes = 16
The probability that the selected chip is either even or divisible by 3 is:
[tex]\text{Probability}=\dfrac{16}{25}[/tex]
Therefore, the probability that the selected chip is either even or divisible by 3 is [tex]\dfrac{16}{25}[/tex].
c. The numbers from 1 to 25 that are divisible by 5 are 5, 10, 15, 20, 25.
The numbers from 1 to 25 that are divisible by 10 are 10, 20.
The numbers that are divisible by both 5 and 10 are 10 and 20.
Number of favorable outcomes = 2
The probability that the selected chip is divisible by 5 and divisible by 10 is:
[tex]\text{Probability}=\dfrac{2}{25}[/tex]
Therefore, the probability that the selected chip is divisible by 5 and divisible by 10 is [tex]\dfrac{2}{25}[/tex].
Help!’!!!!!!!!! And thanksss
Answer:
9/20 > 11/25
Step-by-step explanation:
11/25
= 44/100
9/20
= 45/100
45/100 > 44/100
Therefore,
9/20 is greater than 11/25
Answer:
11/25 < 9/20
Step-by-step explanation:
The common denominator is 100
This mean you want to multiply both numbers so that the denominator on both fractions equals 100
This means 11 needs to be multiplied by 4 as does 25; and 9 needs to be multiplied by 5 as does 20
[tex]\frac{11}{25} =\frac{44}{100} \\\\\frac{9}{20} =\frac{45}{100}[/tex]
This also means that 11/25 is smaller than 9/20
Solve for xx. Round to the nearest tenth of a degree, if necessary.
Answer:
50.8Step-by-step explanation:
sin x = 6.2/8
sin x = 0.775
x = 50. 8
Bye , have a nice day ! :-)
Applying the sine ratio, sin ∅ = opposite/hypotenuse, the value of x, to the nearest tenth of a degree, is: 50.8°.
Hpw to Use the Sine Ratio?When solving a right triangle involving the opposite side and hypotenuse, the sine ratio can be used which is, sin ∅ = opposite/hypotenuse.
Apply the sine ratio to find x
sin x = opp/hyp = 6.2/8
x = sin^(-1)(6.2/8)
x = 50.8°
Learn more about the sine ratio on:
https://brainly.com/question/2920412
#SPJ2
A boy spends 3/8 of his journey in playing games on his mobile.Then 4/5 of the remaining time talking to his sister.If he has 5 min to complete his journey,what is the total time of the journey
Answer:
40 mins
Step-by-step explanation:
time spent talking to his sister = (1 - 3/8) x 4/5 =
5/8 x 4/5 = 1/2
total fraction of time spent playing games and talking to his sister :
[tex]\frac{3}{8} + \frac{1}{2}[/tex]
[tex]\frac{ 3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]
fraction of time remaining to complete the journey = 1 - 7/8 = 1/8
let t = total journey time
1/8 x t = 5
multiply both sides of the equation by 8
t = 5 x 8 = 40 minutes
Which is the most convenient placement of an isosceles triangle in the coordinate plane for finding the side lengths?
Answer:
The bottom left
Step-by-step explanation:
What is the y-intercept of the function f(x) = -4.2^x
Answer:
[tex](0,-1)[/tex]
Step-by-step explanation:
The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:
Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:
[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]
Recall that [tex]n^0=1[/tex] for [tex]n\in \mathbb{R}[/tex]Therefore, the y-intercept of this function is [tex](0, -1)[/tex].
Which word describes the slope of the line?
O Positive
O Negative
O Zero
O Undefined
Answer:
Option (1)
Step-by-step explanation:
Slope of a line is defined by the rule,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Here, Rise and Run of the line are positive.
Therefore, sign of the slope of the line will be positive.
Option (1) will be the correct option.
A bag has 3 red marbles and 12 blue marbles. Half of the blue marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a blue, plastic marble?
Answer: 2/5
Step-by-step explanation:
There are 15 total marbles in the bag. 12 are blue, with only 6 made from plastic. 6/15 reduced is 2/5
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2500 grams
Answer:
750 is the answer..
Step-by-step explanation:
(12/40)*2500
Two complementary angles have measures 4x and x + 50. Find x.
Answer:
x =17
Step-by-step explanation:
Complementary angles add to 90
4x+ x+5 = 90
Combine like terms
5x+5 = 90
Subtract 5 from each side
5x+5-5 = 90-5
5x = 85
Divide by 5
5x/5 = 85/5
x =17
Any help on this please ?
Answer:
x=35
Step-by-step explanation:
because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.
the equation would be:
180=x+14 +4x -9
add the like terms
180=5x =5
then subtract 5 from both sides
175=5x
then divide five from both sides
x=35
can i get the answer for this question would be verrryy much appreciated:)
Answer
The answer is EH= 50
PLEASE HELP!!! If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?
Answer:
axis of symmetry , x = 0
Step-by-step explanation:
For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],
the axis of symmetry is the straight line [tex]x =- \frac{b}{2a}[/tex]
( i) Given equation y = ax² + 0x + 0
b = 0, therefore axis of symmetry is x = 0
( ii ) Second equation y = ax² + 0x + c
b = 0, therefore axis of symmetry is x = 0
NEED HELP ASAP AS SOON AS POSSIBLE, WILL GIVE 69 POINTS
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular.
The city will also put a fence around the playground. The perimeter, P, of the fence includes the gates. To save money, the city wants the least perimeter of fencing for the area of 256 square yards.
Jovana was trying to find a formula for that perimeter with one side 8 yards longer than the other side using the area. In which step did she make a mistake?
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
Step 7:
Explain her mistake. What is the correct formula?
answer please? a girl needs help like right now:))
Answer:
No
Step-by-step explanation:
$690 is invested in an account earning 7% interest (APR),
compounded quarterly. Write a function showing the value of the
account after t years, where the annual growth rate can be found from
a constant in the function. Round all coefficients in the function to four
decimal places. Also, determine the percentage of growth per year
(APY), to the nearest hundredth of a percent.
Answer:
a
567 is the answer because of the 7percent
Find the next item in the pattern.
0.3, 0.6, 0.9, 0.12, ...
can someone please help me with this i dont have much time left
Answer:
Step-by-step explanation:
sin A = opposite/hypotenuse
=5/13
cos A =adjacent/hypotenuse
=12/13
tan A =opposite/adjacent
=5/12
cosec A = hypotenuse/opposite
=13/5
sec A = hypotenuse/adjacent
=12/5
cot A = adjacent/opposite
=12/5
Someone please ill mark you the brainliest! No cheating or else i’ll report you.
Answer:
............................
The picture is above I’ll mark as brainliest.
Answer:
8
Step-by-step explanation:
32 ÷ 4 = 8
32 ÷ 8 = 4 :D
4x8 = 32
32 divided by 4 is 8. 8 is your answer.
PLEASE ANSWER DOWN BELOW FOR POINTS
What is
4/11
as a decimal?
2.75
0.364
0.4
0.36
Maybe y’all don’t find the -
answer i got u guys its 0.36
Answer:
0.36
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
Hope it is helpful...Answer:
Yes, you are correct! 0.36363636... is the answer. 0.364 would be closest.
Happy learning!
--Applepi101
Which of the following is equivalent to (2x^3)(7x^4)?
Answer:
A: (2 times 7)x^3 plus 4
Step-by-step explanation:
2 times 7 is 14 so 14 in the parentheses and then add 3 plus 4 equals 7.
14x^7.
What is the inverse fraction of f(x)=x/x-2
Answer:
[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]
Step-by-step explanation:
Given two one-to-one functions f(x)f(x) and g(x)g(x) if
(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x
then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and
denote it by
g(x)=f−1(x)g(x)=f−1(x)
Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by
f(x)=g−1(x)
Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).
First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.
Replace every xx with a yy and replace every yy with an xx.
Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.
Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!
Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.
Explanation:
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is,
f−1(x)=2xx−1
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is, it is the inverse of function f(x).
That is,
f−1(x)=2xx−1
as required.
2 cans of paint hold 64 and 125 oz. if the cans are similar cylinders and the smaller lid has an area of 18 find the area of the bigger lid.
Answer:
The area of the bigger lid is approximately 29.2 square inches
Step-by-step explanation:
The given data are;
The volume held by one of the cans of paint, V₁ = 64 oz
The volume held by the other cans of paint, V₂ = 125 oz
The area of the smaller lid = 18 in²
Therefore,
The 64 Oz = The smaller can of paint
The 125 oz = The larger can of paint
The diameter of the smaller lid, d₁ = √(18 × 4/π) ≈ 4.787
The ratio of can volumes = (The ratio of can diameters)³
V₁/V₂ = (d₁/d₂)³
V₁/V₂ = 64/125
d₁/d₂ ≈ 4.787/d₂
64/125 = (4.787/d₂)³
4.787/d₂ = ∛(64/125) = 4/5
d₂ ≈ 4.878×5/4 = 6.0975
The area of the bigger lid, A₂ = π·d₂²/4
∴ A₂ = π × 6.0975²/4 ≈ 29.2
The area of the bigger lid, A₂ ≈ 29.2 in.²
Pls help I don’t know how to do this
Answer:
the answer is D
BECAUSE it satisfied the conditions