Step-by-step explanation:
complementary angles means that both of them together = 90
13y +12 + 20y + 12 = 90
add all y together and numbers together
33y + 24 = 90
solve for y
33y= 66. y= 2
now let's get the measurements of the angles
13(2) + 12= 38
20(2) + 12= 52
A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectangular pyramid is 12 inches. Marbles fill half the volume of the container.
How many more cubic inches of marbles are needed to finish filling the container?
Enter your answer in the box.
in3
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Answer:
150
Step-by-step explanation:
a homeowner has just installed a swimming pool with a capacity of 3.5 x 10⁴ gallons.of the pool is initially empty, how many hours will it take to fill it using only a garden hose that delivers 630 gallons of water per hour
Using proportions, it is found that it will take 55.6 hours to fill the poll.
What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?
The rule of three is:
1 hour - 630 gallons
x hours - 35000 gallons
Applying cross multiplication:
[tex]630x = 35000[/tex]
[tex]x = \frac{35000}{630}[/tex]
[tex]x = 55.5[/tex]
It will take 55.6 hours to fill the poll.
You can learn more about proportions at https://brainly.com/question/24372153
The hours it would take to fill the swimming pool is 55.6 hours.
What does division mean?
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
How many hours would it take to fill the swimming pool?Number of hours = capacity of the swimming pool / capacity of the hose
3.5 x 10^4 / 630
35,000 / 650 = 55.6 hours
To learn more about division, please check: https://brainly.com/question/13281206
The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how much would it be
wheoemslaowoaaueiedrs
Solve for t. d= -16t^2 + 12
Answer:
t=√d-12/4 and t=√-d-12/4, d≥12
Step-by-step explanation:
Hope this helps.
A car traveled 300 miles on 15 gallons of gas. How many miles does the car travel on 1 gallon of gas?
Answer:
20 miles for 1 gallon.
Step-by-step explanation:
20 x 15 = 300
Answer:
20 miles on one gallon of gas.
Step-by-step explanation:
300 miles ÷ 15 gallons = 20 miles/gallon
6y-7y+1 factor using foil
Amelia took a total of 18 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter,how many quizzes will Amelia have taken a total? Solve using unit rates
Answer:
45 quizzes
Step-by-step explanation:
The perimeter of the parallelogram shown is 244 inches. The
difference between the lengths of the sides is 20 inches. Assuming 2x+3y is the longest side, find the length of each side.
A. 16 inches, 13 inches
B. 66 inches, 56 inches
C. 71 inches, 51 inches
D. 74 inches, 54 inches
Answer:
a
Step-by-step explanation:
it is a because the 2x+3y simple because you cant add different varibles
The lengths of sides of the parallelogram are 71 inches and 51 inches. Hence, option (C) is correct.
What is parallelogram?A unique variety of quadrilateral called parallelogram, a parallelogram has both pairs of its opposite sides parallel and equal.
Let sides of the parallelogram are a and b.
The perimeter of parallelogram = 2(a+b)
Given that,
The perimeter of parallelogram = 244
implies that,
2(a+b) = 244
a+b = 122 (1)
Also, the difference of sides is 20 inches,
implies that,
a-b = 20 (2)
By solving equation (1) and (2),
a = 71 inches,
b = 51 inches.
The lengths of sides of the parallelogram are 71 inches and 51 inches.
To learn more about Parallelogram on:
https://brainly.com/question/19187448
#SPJ2
What is 30% of 50 pounds?
Answer:
15 pounds
Step-by-step explanation:
hope that help
WHICH TERM BEST DESCRIBES THIS POLYGON
Answer:
17-gon
Step-by-step explanation:
There are 17 sides of the polygon.
Which of the following is something a lender will not consider when reviewing your loan application?
a collateral
b. family size
c. credit score
d. debt-to-Income (DTI) ratio
Answer:
B family size
Step-by-step explanation:
The lender will not consider family size when reviewing your loan application.
What is Loan application?Loan applications could be declined for so many reasons. However, in a situation where an application is not granted, it is good to find out the reasons behind the decision so as to avoid repeating such in subsequent applications.
Another step to be taken after the denial of the application is to look for an alternative lender and make another application.
One may also need to improve on the application to avoid another denial this time around.
Since Lenders have different risk appetites and preferences. What one lender tells about your creditworthiness is not necessarily what another will. They may view your finances as well enough to apply.
Learn more about the Loan application;
https://brainly.com/question/16386105
#SPJ2
the worst carrier of contamination of food service is
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
Jake buys yards of cloth. He uses yard for a craft project. How much cloth, in yards, does Jake have left?
Answer:
i think Its 5/8
Step-by-step explanation:
this one is tricky for me at least
Help please!! (ill give brainliest)
Jose buys a drink and dinner at a local restaurant. The dinner was $9.89 and the drink was $1.99. Jose would like to leave a 15% tip. What is the correct amount of tip Jose should leave for his server? Round your answer to the nearest penny.
Answer:
1.78
Step-by-step explanation:
5x+(6x divided by -9)
Who ever answer’s this i will mark brainliest
Answer:
(13/3)x
Step-by-step explanation:
6x/-9 is eqivalent to (2/-3)x. 5x is equivalent to (15/3)x. Combine the like terms and you get (13/3)x.
hbhjbuih8uqwhd8wqh8fhqw8dh90qwuf[9qwf[9qwf9qwuf089wydf08yq3w8dryqw
Answer:
fhewufhaoiwefaoewpfjawepiofaowpeffwefawefa
Thx for the points!! I hope you understand my random string of letters :D
ten people are attending Josiah's birthday party want to buy enough punch so that each person can have 1/4 of gallon of punch How much punch does Josiah need in order to serve himself and his ten guests
10 more than a number divided by negative 8
Answer:
x + 10 ÷ -8
To:
x + 10 - 10 ÷ -8 - 10
To:
x ÷ -18 if that's what your looking for. If your only trying to find the Algebraic Expression then just use x + 10 ÷ -8.
Step-by-step explanation:
Answer:
x + 10 divided by -8
Step-by-step explanation:
What is the measure of angle C?
9514 1404 393
Answer:
49°
Step-by-step explanation:
Angles A and C are complementary, so we have ...
(3x -7) +(2x +17) = 90
5x = 80 . . . . . . . . . . . . . subtract 10
x = 16 . . . . . . . . . divide by 5
Then the measure of angle C is ...
∠C = 2x +17 = 2(16) +17
∠C = 49
I will give Brainilest
Answer:
8.75
Step-by-step explanation:
3 1/2 times 5 times 1/2
HURRY PLS !!! WHAT IS THE VALUE OF X AND Z!!! WILL GIVE BRAINLIEST
Answer:
x° = 79°
z° = 101°
Step-by-step explanation:
Add. Write your answer as a fraction in simplest form. -5 2/3 + 3 1/4 + (-7 1/3)
Answer:
−133/4 (Decimal: -33.25)
Step-by-step explanation:
-52/3+31/4 = −115/12
−115/12 + (-7 1/3) = −133/4
Sidenote: Hope this helps!
If the volume of a cube is 729cm^3, what is the surfface area.
Thanks!!
Answer:
486cm^2
Step-by-step explanation:
cube volume: 729cm^3
cube faces count: 6
How you calculate square area:
s(cm) * s(cm) or just s^2(cm^2)
s = side length
If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))
729^(1/3) = 9
then just calculate the area like i showed earlier:
(9cm)^2 = 81cm^2
But that is only one side of a cube's 6 sides, so multiply by 6:
81cm^2 * 6 = 486cm^2
Hope i could help :D
Dont be scared to ask me questions..
The volume of a cone with a radius of 4 feet and a height of 12 feet
Answer:
150.8
Step-by-step explanation:
Hope it helps.
Given the equation 14 - 4x = 26
Answer:
-3
Step-by-step explanation:
can you mark me brainliest
Answer:
x=-3
Step-by-step explanation:
14-4x=26
-14 -14
-4x=12
/-4 /-4
x=-3
One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is
if you tell correctly I will give brainlist
Given:
One of the legs of a right triangle is 9 cm.
The area of the triangle is 225 cm².
To find:
The length of the other leg.
Solution:
The area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
The area of a right triangle is
[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]
Let x be the length of other leg.
[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]
[tex]2\times 225=9x[/tex]
[tex]\dfrac{450}{9}=x[/tex]
[tex]50=x[/tex]
Therefore, the length of the other leg is 50 cm.
Answer. it fast please
Answer:
36/25
Step-by-step explanation:
[tex]x^{-y}=\frac{1}{x^y}\\\\2^-1+3^-1=\frac{1}{2}+\frac{1}{3}=\frac{5}{6}\\\\\frac{5}{6}^{-2}=\frac{6}{5}^2=\frac{36}{25}[/tex]
simplify 4(6x + 2) + 5(x + 4)
Answer:
29x + 28
Step-by-step explanation:
1. 4(6x + 2) + 5(x + 4) = 24x + 8 + 5x + 20
2. 24x + 5x + 8 + 20
3. 29x + 28
How to record 2 1/2 inches on a ruler
Answer:
Read explanation
Step-by-step explanation:
If you get a normal ruler it will be one foot total. You add the bigger measurements twice because they're an inch. Then you add half of those measures. It will be numbered 1, 2, 3... so on . In other words, the longer lines are inches and the shorter ones are centimeters.
Answer:
So here's a step by step
1: Pick up your ruler.
2: Make sure the ruler is not broken or cracked.
3: Find the thing you want to measure.
4: Put the ruler against the object.
5: Make sure the 0 on the ruler is right on the side of what your measuring.
6: When all that is done find the 2 on the ruler that is 2 inches
7: Then find the 1/2 mark next to the 2 that is 2 1/2 inches.
Dont know why you needed this but here lol.
Step-by-step explanation:
May I have brainiest please I'm leveling up!
</3 PureBeauty