RQ × RP = RS × RT
9 × ( 9 + 13 ) = 11 × RT
9 × 22 = 11 × RT
Divide sides by 11
9 × 22 / 11 = 11 × RT / 11
Simplification
9 × 2 = RT
RT = 18
Answer: RT=18
Step-by-step explanation: I’m going to be using this formula: RQ•RP=RS•RT
9•22=198
ST=7
11•18=198
Therefore RT=18
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the length is 5 meters and the width is 3.9 meters.
Note: Consider we need to find the height of the container.
Given:
The volume of container in the shape of right rectangular prism = 43.875 cubic meters.
Length = 5 meters.
Width = 3.9 meters.
To find:
The height of the container.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get
[tex]43.875=5\times 3.9\times h[/tex]
[tex]43.875=19.5\times h[/tex]
[tex]\dfrac{43.875}{19.5}=h[/tex]
[tex]2.25=h[/tex]
Therefore, the height of the rectangular container is 2.25 meters.
does anyone know the answer?? i’ll mark brainlists
Use picture
Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7
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:
compare these integers
-10_____ 1
A.<
B.=
C.>
Answer:
-10<1
which means that -10 is less than 1
Answer:
A
Step-by-step explanation:
-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers
Calculate the surface area of the figure:
54ft
198ft
21ft
108ft
Answer:
108
Step-by-step explanation:
A and b are positive integers and a-b=2. Evaluate the following:
(27^1/3b)/ ( 9^1/2a)
(this is urgent)
A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number
Answer:
D. Rational Number
Step-by-step explanation:
Integers are defined as all whole numbers, positive and negative, including 0. Since in the list there is a number that is not whole, A is not the correct answer choice.Whole numbers are all positive numbers (including 0) without decimals or fractions. Since the list has a number that is not a whole number, along with two that are negative, B is also not correct.Natural numbers are all positive numbers (excluding 0) without decimals or fractions. Since there is a 0 in the list, C is not correct.Rational numbers are all numbers that can be simplified into a ratio with 2 integers (i.e. π and e are not rational). Since every number on the list can be put into this category, answer choice D is correct.Help me pls))))
When you show a friend your idea for an art project, he says the idea is too superficial. What can you do to fix this?
A) Strengthen and lengthen your research process.
B)Abandon the idea all together.
C)Add another topic to your original topic.
D) Ignore your friend and create the artwork anyway
Which expression could be used to evaluate the expression below?
Answer:
Step-by-step explanation:
Is there supposed to be a picture
If the effective annual interest rate of a loan is 14.6%, what is the nominal annual interest rate, correct to one decimal
place, if interest compounds monthly?
Answer:
13.7%
Step-by-step explanation:
Nominal interest rate = [tex](\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m[/tex]
where m = number of compounding = 12
([tex]\sqrt[12]{1.146}[/tex] - 1 ) x 12 = 0.137054 = 13.7%
To round to one decimal place means that there should be only one figure after the decimal place.
The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."
When you factor those out, you have this remaining:
5x(x + 3) + 6(x + 3).
What is the final answer?
Group of answer choices
(x + 3)(30x)
(x + 3)(5x + 6)
(x + 3)(11x)
Prime
Answer:
(5x + 6) (x + 3)
hope it helps
Which equation best represents the relationship between x and y in the table below?
Answer:
y = x² + 5
Step-by-step explanation:
When x = 1:
y = x² + 5
y = 1² + 5
y = 6
When x = 2:
y = x² + 5
y = 2² + 5
y = 9
When x = 3:
y = x² + 5
y = 3² + 5
y = 14
Solve The Quadratic Equation by the Square Root Method.
(x + 2)^2=25
Answer:
x=-7, x=3
Step-by-step explanation:
Seperate into possible cases
Solve the equation
Answer:
x = 3 or x = -7
Step-by-step explanation:
(x + 2)^2=25
Take the square root of each side
sqrt((x + 2)^2)=sqrt(25)
x+2 = ± 5
Subtract 2 from each side
x+2-2 = -2 ±5
x = -2 +5 or x = -2 -5
x = 3 or x = -7
find the slope, y-intercept. write the equation :).
slope: -4/5
y-int: 4
y=-4/5x+4
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 :)
A right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6). What is the area of the triangle in square units?
Answer:
the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?
Step-by-step explanation:
The area of the triangle is equal to 25√2 square units.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that a right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6).
The area will be calculated as,
Side = √ [ ( -3 + 2 )² + ( -2 - 5 )² ]
Side = √ ( 1 + 49)
Side = √50
Base = √ [ ( 6 + 3 )² + ( -1-2)² )
Base = √ ( 81 + 9 )
Base = √100
The area will be calculated as,
Area = (1/2) x B x H
Area = (1/2) x √50 x √100
Area = (1/2) x √50 x 10
Area = 5 x √( 25 x 2 )
Area = 25√2 square units
To know more about coordinate geometry follow
https://brainly.com/question/19044159
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Find the area of the right triangle.
Answer:
[tex] \frac{1}{2} \times 9 \times 6 = 27 \\[/tex]
You have to count the units then put the rule
[tex] \frac{1}{2} \times base \: \times hight[/tex]
please i need help!!!!!
M^2 - 4m +8 = -21
Solve the quadratic equation by completing the square
Answer:
m^2-4m=-29
m^2-4m+4=-29+4
(m-2)^2=-25
m=2+-5i
What is the value of x in the
equation below?
5x +9= 74
Bryan calculated the area of a square to be 18/32 square foot. Which shows the side length of the square? (Hint: Simplify. Also, area of a square is side x side.)
Answer:
x = 0.75 feet
Step-by-step explanation:
The area of a square is 18/32 square foot
We need to find the side length of the square.
The area of a square of side x is given by :
[tex]A=x^2[/tex]
Substitute all the values,
[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]
So, the side length of the square is equal to 0.75 feet.
The diameter of a circle is 18 cm. Find its area in terms of pi
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer and Step-by-step explanation:
Let's put the information given into equations.
Let's also denote x as individual songs and y as albums.
Charlene - 6x + 2y = 25.92
Keisha - 4x + 3y = 33.93
Those above equations is answer choice option, which is D.
So, D is the correct Answer.
#teamtrees #PAW (Plant And Water)
At a publishing company 60% of the editors are female.
30% of the female editors and 20% of the male editors have a maths degree.
What percentage of all the editors have a maths degree?
0.3 percent because 50% of 60% is 0.3%
Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to
Answer:
14 units
Step-by-step explanation:
Area is l*w and since the length is known, solve for width
182/13=13w/13
w=14
Answer:
14 units
Step-by-step explanation:
Given, the area of rectangle = 182 square units
length = 13 units
width = ?
By using the formula to find the area of a rectangle, we have
area of rectangle = length * width
182 = 13 * width
182/13 = width
14 units = width
PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.
Answer:
diameter of the wheel = 28.98 in (2 d.p.)
Step-by-step explanation:
Given information:
A unicycle wheel makes five rotationsThe unicycle travels 37.94 feetCircumference of a circle = πd (where d is the diameter)
One rotation of the wheel is equal to the circumference of the wheel.
Therefore, 5 rotations is equal to the sum of 5 circumferences.
To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:
[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]
As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:
[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]
Therefore, the diameter of the wheel is 28.98 in (2 d.p.).
2. Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the
same game. Lebron scored the same number of points as Dwayne’s previous personal best.
Write two algebraic equations, let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.
Answer:
Required equations are:
d + 10 = 55c + 15 = dSolving the first, we get:
d = 55 - 10d = 45Solving the second we get:
c + 15 = 45c = 45 - 15c = 30How many times greater is the value of the 3 in 3,499 than in 6,399
Answer:
967 times
Step-by-step explanation:
3 / 3499 is 1166.33333
3 / 6399 is 2133
A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?
A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2