Answers
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
Related Questions
find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answers
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
Help me please !!!!!!!!!!!!!!
Answers
the question says that a total of 108 blue shirts and 96 green shirts are sold, so we calculate the total number of shirts in the respective rows, while ensuring that the total number of shirts in the columns add up to 60 small, 86 medium, and 58 large respectively
Im normally good at alg ish but im confused
Answers
Answer:
The problem is telling you to find g ( f ( x ) )
Since we know that f(x) is square root of x, we can put the function this way.
g(√x)
Then, we use √x as our x in our g(x) function.
You plug in √x for x and you solve.
(√x ) ^2 is just x.
Finally the answer is
x-3
hope this helps :)
Step-by-step explanation:
Hope this helps!
Please help, brainliest for correct answer
Answers
Answer:
V = 706.5 in³
Step-by-step explanation:
V = πr²h = 3.14(5²)9 = 706.5 in³
Which of the quadratic functions has the narrowest graph?
Answers
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11
cm
6810
18. 136
25.11
Answers
The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g
What is the mass required?Formula for density is;
Density = mass/volume
From the box we are given, it's volume is;
Volume = 30 * 30 * 76
Volume = 68400 cm³
Now, from conversion;
1 cm³ = 1g. Thus;
68400 cm³ = 68400 g
Volume = Mass/density
Volume = 68400/2.65
Volume = 25811 g
Read more about mass required at; https://brainly.com/question/1762479
Pleaseeee helpp which one is it and whyyyy!!!!
Answers
Answer:
answer is A
Step-by-step explanation:
Neal's room has sides 10 1/4 ft and 12 5/6 ft. What is the perimeter?
Answers
Answer:
66 1/6ft
Step-by-step explanation:
I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.
Answer: 46 1/4
Step-by-step explanation:
Perimeter = (L+W) x 2
So basically ... (10 1/4 + 12 5/6) x 2
Which would be ... 23 1/12 x 2
Which gives you the answer of 46 and 1/4
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answers
Answer:
0.4% or in decimal form 0.004
Step-by-step explanation:
took the test and got it right!
Guys please help i dont understand im bad at math
Answers
Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answers
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
5+6(2x-1)
i need this like now pls
Answers
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
Please help me I'm really struggling.
Answers
Answer:
eight chairs.
Step-by-step explanation:
five quarts= 40/8 quarts
one chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
eight chairs
john takes a small business loan
for $18,000. the term for
repayment is 60 months and
the annual interest rate is 5.25%.
using the monthly payment
formula, what is the estimated
monthly payment?
Answers
9514 1404 393
Answer:
$341.75
Step-by-step explanation:
You have not provided the formula, so we'll use one we like:
A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months
A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75
The monthly payment is about $341.75.
I’ll give points + brainslist, if you don’t know don’t bother answering (:
Answers
Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?
Answers
Answer:
$375
Step-by-step explanation:
If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answers
Answer:
gay
Step-by-step explanation:
Any help would be appreciated
Answers
Answer:
$8.25
Step-by-step explanation:
I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.
10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20
Answers
Answer:
17
Step-by-step explanation:
[tex]\sqrt{x} = 4.1[/tex]
16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D
Find the value of x
Please help
Answers
Therefore
x+16=7
And then
x= 7-16
x=-9
Answer:
b
Step-by-step explanation:
subtract 9 from 16
I'm unsure how to solve for w, can someone please help?
Answers
Answer:
w = 1/2
Step-by-step explanation:
One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.
log b (a) = c
b^c = a
By plugging in the numbers we get this:
log 16 (4) = w
16^w = 4
w = 1/2
0. Folded boxes a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 5 ft by 8 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides of length /. Find the volume of the largest open box that can be formed in this way.
Answers
Answer:
Box dimensions:
L = 3 ft
D = 6 ft
H = 1 ft
Volume V = 18 ft³
Step-by-step explanation:
a) Each side of the future box is
L = 5 - 2*x D = 8 - 2*x
height of the box is x
Then the volume of the box as function of x is:
V(x) = ( 5 - 2*x ) * ( 8 - 2*x ) * x
V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x
V(x) = 40*x - 26*x² + 4*x³
Tacking derivatives on both sides of the equation:
V´(x) = 40 - 52*x + 12x² or V´(x) = 20 - 26*x + 6*x²
If V´(x) = 0
6*x² - 26*x + 20 = 0
Solving for x
x₁,₂ = (-b ± √ b² - 4*a*c ] /2*a
x₁,₂ = ( 26 ± √ 676 - 480 ) / 12
x₁,₂ = (26 ± 14 )/ 12
x₁ = 1
x₂ = 3,33 ( we dismiss this solution since is not feasible according to cardboard dimensions )
Then the sides of the box are:
L = 5 -2*x L = 5 - 2*1 L = 3 ft
D = 8 - 2*x D = 8 - 2*1 D = 6 ft
H = x = 1 ft
And the volume is V = 6*3*1 = 18 ft³
This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?
Answers
Answer:
1 workbook
Step-by-step explanation:
Equation:
d = 64.6t
Given:
d = total cost
t = number of workbooks
Work:
d = 64.6t
64.6 = 64.6t
t = 64.6/64.6
t = 1
Answer: 1 work book t=1
Step-by-step explanation:
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A
Answers
A=35
The answer is she needs 35 more points to get her A
Find the area of the polygon to the nearest square inch.
Answers
Answer:
137 in.^2
Step-by-step explanation:
A = nsa/2
where
n = number of sides = 9
s = length of side = 4.7 in.
a = length of apothem = 6.5 in.
A = (9)(4.7 in.)(6.5 in.)/2
A = 137.475 in.^2
Answer: 137 in.^2
The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters
Answers
Answer:
B
Step-by-step explanation:
The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88
Answer:
B
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius (half the diameter).
2r is then the diameter.
so, in our case the circumference is
42×pi = 42 × 3.14 = 131.88 mm
Find the least common multiple (LCM) for the pair of numbers 6 and 18
Answers
Answer:
the lcm is 6
Step-by-step explanation:
6 divided by 3 is 1
18 divided by 3 is 6
6 becomes 3 and 2
Answer:
18
Step-by-step explanation:
Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answers
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
What percent of the model is shaded green?
Answers
Answer:
1/5%
Step-by-step explanation:
The percentage of the model shaded green will be 20.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
The total number of the box in the figure is 100.
The total number of shaded green = 20
So,
[tex]\dfrac{20}{100} \times 100[/tex]
20%
Therefore, The percentage of the model shaded green will be 20.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
A cold water tap can fill a tub in 6 minutes, and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drai is open, how long will it take to fill the tub? It will take
how many minutes?
Answers
Answer:
12 minutes
Step-by-step explanation:
The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath
