Given:
The area of a rectangle = 14 square units.
The side lengths are a and b.
[tex]a=2\dfrac{1}{3}[/tex]
To find:
The value of b.
Solution:
We know that, the area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The area of the given rectangle is:
[tex]14=a\times b[/tex]
[tex]14=2\dfrac{1}{3}\times b[/tex]
[tex]14=\dfrac{2(3)+1}{3}b[/tex]
[tex]14=\dfrac{6+1}{3}b[/tex]
On further simplification, we get
[tex]14=\dfrac{7}{3}b[/tex]
[tex]14\times 3=7b[/tex]
[tex]42=7b[/tex]
Divide both sides by 7.
[tex]\dfrac{42}{7}=b[/tex]
[tex]6=b[/tex]
Therefore, the value of b is 6 units.
* You may use a calculator on this question.
A circle has a radius of 23.85 inches.
What is the circumference of this circle?
Use 3.14 for pi. Round your final answer to the nearest tenth.
74.9 inches
1786.1 inches
149.8 inches
Please help
The circumference formula is 168.6
where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have
.
Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.
There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
Please help ASAP thank you
Step-by-step explanation:
5/8-7/8=2/8 so that is the height
the width is 1/2
and the length is 3/8
you have too multiply 1/2 and 3/8 which is 3/16.
hope this is correct and helps u out
Find the volume of a pyramid with a square base, where the perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
V=2.8cm^3
Step-by-step explanation:
The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.
Calculation of the pyramid:Since
perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.
So, here
we know that
volume of a pyramid = [tex]1/3(length * width * height)[/tex]
And,
perimeter of a square = [tex]4 * length[/tex]
6.9 = 4 x length
So,
length = 1.725
Now the volume is
[tex]= 1/3 * (1.725 * 1.725 * 2.8)[/tex]
= 2.8
Learn more about volume here: https://brainly.com/question/12497184
I am useless plz help
Answer: your answer is 195
Step-by-step explanation:
The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?
Answer:
625
Step-by-step explanation:
Let two number be x and (50-x).
The product of numbers be x(50-x).
P = 50x-x²
For maximizing the product,
[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]
So, the maximum product, P = 50(25)-(25)²
P = 625
Hence, the maximum value of the product of these two numbers is 625.
Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 25 years.
Answer:
15,600,000
Step-by-step explanation:
We start with our initial population of 600,000. Then multiply that with the rate of 4% (0.04 in decimal, or 1.04 so that the 0.04 is automatically added to the 600,000.)
600,000 · 1.04y = projected populationy = 25600,000 · 1.04(25) = projected populationsimplify!15,600,000 = proejcted populationMilton took an elevator to the top of the Empire State Building in New York City and decided to walk down the steps to the bottom level. The building is 103 levels tall, and it takes Milton exactly 5 seconds to make his way from one level to the next. The equation below shows the level (l) that Milton is on after s seconds. `l\ =\ -\frac{1}{5}s\ +\ 103`
Answer:
thx
Step-by-step explanation:
What type of function is this:
a1 = 2
an = an-1+4
Arithmetic and Explicit
Arithmetic and Recursive
Geometric and Explicit
Geometric and Recursive
Answer:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
[tex] \\ [/tex]
When I am doing exponential functions, amd need to graph, how do I figure out what the points are for f(x)=3(6)^(x-1)-5? The five is not an exponent.
Answer:
Attached
Step-by-step explanation:
Somebody help ASAP hurry
Answer:
540 divided by 9
Over estimated
Please mark as brainliest!
plz help find x !!!!!
Answer:
a. 38.5
Step-by-step explanation:
The triangles are similar. That means that the ratios are the same.
x/14 = 11/4
x/31.5 = 11/9
Let's use the top one
x/14 = 11/4
4x/14 = 11
4x = 154
x = 38.5
HELP ASAP!!! Make t the subject of 5(t − g) = 2t + 7
Answer:
t=(7+5g)/3
Step-by-step explanation:
5(t-g)=2t+7
5t-5g=2t+7
5t-2t=7+5g
3t=7+5g
divide both side by 3
t=(7+5g)/3
As per linear equation, the variable 't' is subject of 5(t -g) = 2t + 7 as [tex]t = \frac{5g + 7}{3}[/tex].
What is a linear equation?"A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
There are linear equations in one variable and linear equations in more than one variable. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
The given linear equation is:
5(t - g) = 2t + 7
We can calculate the value of the variable 't' by keeping it in the left hand side of the equation and then rest of the elements on the right hand side of the equation. Now we get:
⇒ 5t - 5g = 2t + 7
⇒ 5t - 2t = 5g + 7
⇒ 3t = 5g + 7
⇒ [tex]t = \frac{5g + 7}{3}[/tex]
Therefore, the value of the variable 't' in terms of the variable 'g' is [tex]t = \frac{5g + 7}{3}[/tex].
To learn more about a linear equation here: https://brainly.com/question/11897796
#SPJ2
What are the factors of a(3+ y)
Answer:
2 factors.
Step-by-step explanation:
A factor is something which is multiplied by something else. (It can be a variable, number or term).
In this example, there are 2 factors: a & (3+y).
Hope this helps! Have a great day!
Find the measure of the arc indicated. (Only type the number.) *
Answer:
61 degrees
Step-by-step explanation:
Which would be an estimate for 36,004 ÷ 853
Answer:
42.21
Step-by-step explanation:
Answer:
42.2086752638
Step-by-step explanation:
calculator
An area rug has the dimensions of 4 feet x 8 feet. How many square inches is that?
Answer:
Step-by-step explanation:
This is because 4 ft x 8 ft = 24 feet
24 feet times 12 (this is because there 12 inches in a foot)
288 inches
i need help .........
Answer:
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
PLEEEASE HELP ME, QUICK!!!! ITS WORTH 20 POINTS!!!
tell me if the statement below is sometimes, always, or never true. justify your reasoning, (the Expressions x - 3 + y -3 represent the same value.)
Answer:
Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true
Step-by-step explanation:
We are given two expressions: x -3 and y - 3
Here x and y are two different variables.
These expressions are equal, when the value of x and the value of y are equal.
x - 3 = y -3 if x = y.
Therefore, the two expressions have the same value in sometimes.
That is, when x = y, then the value of two expressions are the same.
Example.
If x = 2 and y = 2, then
x - 3 = y - 3
2 - 3 = 2 - 3
-1 = -1
If they have different values, for x = 2 and y = 3
x - 3 = y - 3
2 - 3 = 3 -3
-1 = 0
Which is not true.
Therefore, the answer is sometimes.
You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?
Answer:
One pound of apple = $1
One pound of Orange = $2
Step-by-step explanation:
Plz mark brainliest thanks
Answer:
Apples $1
oranges $2
Step-by-step explanation:
who is This Help me
Help me out with this question (geometry)
Answer: 19
Step-by-step explanation: it says you already found X so you substitute it into angle m2
Please help. Will give Brainliest.
Answer:
2
Step-by-step explanation:
That is the only valid reflection across line e.
Answer:
2
Step-by-step explanation:
When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2
How do you identify the bases of any prism?
Answer:
Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.
Step-by-step explanation:
SOMEBODY PLEASE HELP ME.Eric and Scott each through a javelin. The height of the javelin that Eric through can be modeled by the function f(x)=-16x^2+64x6 where f(x) represents the height in feet of the javelin after X seconds. The graph represents the height of Scots javelin as a function of time. Which statements are true?THE ANSWER CHOICES ARE IN THE PICTURE PLEASE ANSWER THIS QUESTION RIGHT
Answer: The maximum height of Scott’s and Eric’s javelins were the same
Step-by-step explanation: bc I put it as my answer and I got it right
Find the sum of 16y2 and -5y2
Answer:
11y²
Step-by-step explanation:
Subtract 5y² from 16y²
Answer:
11y^2
Step-by-step explanation:
16y^2 and -5y^2 are "like terms," so can be added:
16y^2
- 5y^2
-----------
11y^2
Subtract 9a from -15a:
-15a
- 9a
-------
-24a
what is bigger 0.125 or 0.0125
Answer:
0.125 is the answer...........
Answer:
.125
Step-by-step explanation:
.125 is bigger because 0.0125 is less than 0.125, for example:
There is a slice of cake and there is a .125 slice and a .0125, which is bigger?
When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram of gold is worth $50.04. How much money is the gold coin worth?
20 POINTSSSSSSSSSSSSSS
FAST HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
1 garm = $50.04
7.5 gram = 50.04 × 7.5 = $375.3
HELP PLEASE OMGGGGGGGGGGGGG
Answer:
7x-2+5x-10+4x=180°
16x-12=180
16x=192
x=192/16
x=12
Help Plz
Will mark brainliest
Answer:
False, true, false, true
Step-by-step explanation:
Sin T = 7/25
Cos T = 24/25
Sin C = 24/25
Cos C = 7/25