Answer: length of rectangle GFKJ = FK = (30 – 8) = 22 feet
width of rectangle GFKJ = GF = 5 feet
area of rectangle GFKJ = length × width
= 22 × 5
= 110 square feet
I wish that helped
Step-by-step explanation:
PLISSSSSSSSSSS HELPPPPPPP..............................
Answer:
it would be 9 cause with start counting the 7- to 2 its gonna be nine
Step-by-step explanation:
Item 3 There is a 40% chance that weather causes one or more days of school to be canceled each year. Use the table of simulated values to find the experimental probability that weather will cause a school to be canceled in at least three of the next four school years. Use the digits 1 through 4 as years with a cancellation.
The experimental probability is____%
Answer:
16%
Step-by-step explanation:
Segment MN and Segment PQ intersect at R, as seen in the diagram at the right. Find x, m∠ MRQ, m∠ QRN, m∠ NRP, m∠ PRM.
A) x=10, m
B) x=20, m
C) x=15, m
D) x=18, m
The value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option D: x = 18
What are supplementary angles?Two angels whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Here, we're specified that:
m∠PRM = measure of angle PRM = (7x -11)°m∠NRP = measure of angle NRP= (4x -7)°They are adjacent and line segments MR and RN are forming a straight line MN, so these angles are supplementary. That means:
(7x -11)° + (4x -7)° = 180°
Opening the brackets, and solving in terms of magnitude, we get:
[tex]7x - 11 + 4x -7 = 180\\11x - 18 = 180\\11x = 180+18 \\\\x = \dfrac{198}{11} = 18[/tex]
Thus, the value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option D: x = 18
Learn more about supplementary angles here:
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Hi if you answer please explain how you got the answer thanks! :)
Answer:
B: 60,000
Step-by-step explanation:
Since there was a total of 200,000 votes, we can create this equation, since we also know the ratio between the two candidates:
7x + 3x = 200,000
x can be seen as a common factor between the two candidates that can be used to express their difference
We can now further simplify this equation by combining like terms and solving for x:
10x = 200,000
x = 200,000/10
x = 20,000
Now, to find the total number of votes cast for Bob Tanks, we multiply x by 3, since it says that Julie Sanders won by a ratio of 7:3, which means she had 7 in the ratio and Bob had the 3.
3x = 3(20,000) = 60,000
The answer is B: 60,000.
Answer: 60,000
Step-by-step explanation:
The easiest way to solve this problem is to use equations
Since we know the ratio of Julie's votes to Bob's votes is 7:3 and the total is 200,000 we can use this equation 200,000 (number of votes) = 7x(Julie's votes) + 3x(Bob's votes)
After you solve it you get x=20,000
Then,
You put that back into Bob's votes and you get 60,00
Hope this helps :)
Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla made a total of $595 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?
Answer:
The statue is 22ft tall.
Step-by-step explanation:
Here we will have two similar triangle rectangles.
One is made between the girl's feet, the mirror, and the girl's eyes.
So in this case the catheti are:
the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)
The other triangle rectangle has the vertices:
The mirror, the base of the statue, and the top of the statue.
Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).
Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.
Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:
3m = k*12m
And the height of the girl must be k times the height of the statue.
5.5ft = k*X
You can see that we have different units, this does not matter because k is a dimensionless constant.
With the first equation we can find the value of k
3m = k*12m
3m/12m = k
(3/12) = 1/4 = k
Now we can replace this in the other equation to get:
5.5ft = (1/4)*X
Solving this for X we get:
(5.5ft)*4 = X
22ft = X
The height of the statue is 22ft.
What is the spread of the data?
17 18 19 20 21 22 23 24 25 26
Age of female U.S. Olympic swimmers
(years)
O A. 17 to 22 years
O B. 17 to 26 years
O C. 22 to 26 years
O D. 16 to 27 years
Jakob rolls an 8-sided die that is numbered from 1 through 8 a total of 400 times. About how many times should Jakob expect to roll a 5?
50
80
250
350
Answer: 50
Step-by-step explanation:
400 ÷ 8 = 50
Answer:
50 or A
Step-by-step explanation:
Pour connaitre la distance qui la separes dune ile armelle vise un arbre de deux endroit distant de 10m sur une berge elle a pris les mesures données sur le desin suivant
Répondre:
AI = 32,36 m
IE = 30,78 m
Explication étape par étape:
Utilisation de Pythagore:
Cosθ = adjacent / hypoténus
AI = hypoténus
θ = 72 °
Adjacent = 10 m
Cos 72 = 10 / AI
0,3090169 = 10 / AI
AI = 10 / 0,3090169
AI = 32,36 m
De la trigonométrie;
IE = opposé
Adjacent = 10m
Tanθ = opposé / adjacent
Tan 72 = IE / 10
IE = Tan 72 * 10
IE = 3,0776835 * 10
IE = 30,78 m
Question 8 of 11
Which type of force is a noncontact force?
A. Buoyancy
B. Air resistance
C. Any fundamental force
D. Any normal force
SUBMIT
help please!! i just need to know if it’s a b c or d
Answer:
hey it is 15.71 thanks for points
someone please help fast!!
There are 90 students in the school band. 40% of them are sixth graders. How many band members are sixth graders?
Answer:
36
Step-by-step explanation:
.4 x 90
Answer:
36
Step-by-step explanation:
40/100 = x/90
100x div 100 3600div 100
x = 36
Solve For X
5X + 30 = 110
Answer:
Your answer would be:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]5x + 30 = 110[/tex]
[tex]5x + 30 - 30 = - 30[/tex]
[tex]5x = 80[/tex]
[tex]x = 16[/tex]
Hope this helped! UwU
f(x) = 3 x e^2x
That's the problem
Answer:
6 e (*2)x
Step-by-step explanation:
i hope this helps and the 2 is a square unit
Answer:
y = 0
Step by step explanition:
can someone pls help ASAP :(
Answer:
20.5
Step-by-step explanation:
AB= Sqare root of 15^2 + 14^2
USe pythagoras' theorum
9 less than 4 times a number equals 15
Answer:
if you wanted it in equation form the it'll be : 9 < 4 x n = 15
~ i hope this has helped you out, have a gr8 day/night my friend!~
Step-by-step explanation:
Answer:
Six / 6
Step-by-step explanation:
Fifteen less than 4 times a number is 9, meaning we have to find the number.
Let the required number be x
4 times the number = 4x
15 less than 4 times the number = 4x-15
⇒ 4x – 15 = 9
⇒ 4x = 9 + 15
⇒ 4x = 24
⇒ x = 6
meaning the number is 6.
Hope this helps!
A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870
A mortgage loan is termed as a loan that is used to purchase or maintain a home, land or other pieces of real estate.
The borrower agrees to repay the amount of loan to the lender over a period of time, usually in a series of regular installments divided into principal and interest. The property is used as security for the loan.
Calculation of the amount of mortgage is as follows:
[tex]\text{Interest}= \text{Mortgage amount} \times\frac{0.05}{12}\times3[/tex] = 1875
[tex]\text{Principal Pay }= 1000 \times3[/tex] = 3000
Total amount paid = Interest + principal pay = 1875 + 3000 = 4875
Initial balance = 150000
The remaining balance for the mortgage amount = initial balance - the total amount paid.
Amount of mortgage = $ 145125.
Therefore the closest to the mortgage balance after 3 months of payments is
(1) $145,165.
To know more about the calculation of the mortgage amount, refer to the link below:
https://brainly.com/question/24913140
Divide 1 hour in the ratio 20%to 80%
Answer:
12min 48min
Step-by-step explanation:
1hr=60min
60x20%=12min
60x80%=48min
Answer:
1 : 4
Step-by-step explanation:
20% of 60 mins = 20/100*60 = 12 mins.
80% of 60 mins =80/100*60 = 48mins.
N artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $760 for 210 statues. The manufacturing costs for the three types are $5, $4, and $3. If the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $3,640 in monthly revenue?
Answer:
20, 90 and 100
Step-by-step explanation:
Total number of statues = 210
Assuming that a large statue = x, medium statue = y and a small statue = z
Then, x + y + z = 210........i
Also, we're told that the monthly cost is $760, so
5x + 4y + 3z = 760.........ii
Cost of selling is $3640, so then
26x + 18y + 15z = 3640.........iii
Solving i and ii simultaneously, we have
5x + 5y + 5z = 1050
5x + 4y + 3z = 760
Subtracting, we have
y + 2z = 290.........iv
Again, solving ii and iii simultaneously, we have
130x + 104y + 78z = 19760
130x + 90y + 75z = 18200
On subtracting, we have
14y + 3z = 1560.........v
And finally, solving iv and v simultaneously, we also have
14y + 28z = 4060
14y + 3z = 1560
On subtracting,
25z = 2500
z = 2500 / 25
z = 100
Substituting for z = 100 in iv, we have
y + 2(100) = 290
y + 200 = 290
y = 290 - 200
y = 90
Substituting for y = 90, and z = 100 in i
x + 90 + 100 = 210
x + 190 = 210
x = 210 - 190
x = 20
Therefore, large statues has to be 20, medium statues has to be 90, and small statues has to be 100
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
No
Step-by-step explanation:
None of the angles in the two triangles match, so it is impossible for them to be congruent.
Please help I’ll give brainliest
Answer:
50
Step-by-step explanation:
Answer: the tip you should leave is 4.2
14 is 0.04
do 0.04 times 30 and you get 4.2 which is 14 % of 30
Step-by-step explanation:
Find the area. Use 3.14 for pi and round to 10th place.
What is the volume of a sphere with a diameter of 4.9 cm, rounded to the nearest
tenth of a cubic centimeter?
Answer:
492.87cm^3
Step-by-step explanation:
Given data
Diameter= 4.9cm
The expression for the volume is
V= 4/3 πr^3
Substitute
V= 4/3*3.142*4.9^3
V= 4/3*3.142*117.649
V=1478.612632 /3
V=492.87 cm^3
Hence the volume is 492.87cm^3
You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, what is your probability of not winning?
Answer:
the probability of not winning is 0.9946
Step-by-step explanation:
The computation of the probability of not winning is shown below:
The Probability of winning is
= 7 ÷ 1302
So, the probability of not winning is
= 1 - 7 ÷ 1302
= (1302 - 7) ÷ 1302
= 1295 ÷ 1302
= 165 ÷ 186
= 0.9946
Hence, the probability of not winning is 0.9946
The same is considered
2x-2y =22
4x+2y=38
How to solve using systems elimination
Answer: x=10; y=-1
Step-by-step explanation:
To solve this via elimination:
get rid of the y's like this:
4x+2y=38 + 2x-2y=22
6x=60
x=10
20-2y=22
y=-1
Rosa want to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
Answer:
$405,44
Step-by-step explanation:
Equation: 499.99 - (499.99 x 15/100) - 1/10[499.99-(499.99 x 15/100)] + 6/100{1/10[499.99-(499.99 x 15/100) = x
Steps: x = (15 x 499.99)/100 = $74.9985
499.99 - 74.9985 = $424,9915
x = (424,9915 x 10)/100 = $42,49915
424,9915 - 42,49915 = $382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
That can be rewritten as $405,44.
I hope that helped :)
somebody please help me again
Answer:
4 bags will be required.
Step-by-step explanation:
Patio is in the shape of a parallelogram.
Formula for the area of a parallelogram is,
Area = [tex](\text{Base})(\text{Height})[/tex]
= 16.2 × 12
= 194.4 square feet
∵ 50 square feet area is covered by 1 bag of concrete mix.
∴ 1 square feet area will be covered by [tex]\frac{1}{50}[/tex] bag of concrete mix
∴ 194.4 square feet patio will require the concrete mix = [tex]\frac{194.4}{50}[/tex]
= 3.888
≈ 4 bags
Therefore, 4 bags of concrete mix will be required by Dave to add a new patio.
a) 5√160=
b) √245=
c) 3√72=
d) √50=
e) √18=
e) 4√243=
f) 3√576 =
g) √300=
Answer:
a) 20[tex]\sqrt{35}[/tex]
b) 7[tex]\sqrt{5}[/tex]
c) 18[tex]\sqrt{2}[/tex]
d) 5[tex]\sqrt{2}[/tex]
e) 36[tex]\sqrt{3}[/tex]
f) 72
g) 10[tex]\sqrt{3}[/tex]
Step-by-step explanation:
BRAINLIEST!!!! PLZZZZ SEE BELOW!!!
Answer:
b. 0.25
Step-by-step explanation:
40 + 120 = 160
40 / 160