A quarter-circle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The
area of the figure is 33.4 square centimeters.
What is the length of the longer side of the rectangle?
Use 3.14 for 71
Enter your answer as decimal in the box.
Answers
Answer:
5.21 i took the test
Length of longer side of the rectangle in which a quarter circle is drawn onto the shorter side is 5.12 cm
What is area of a geometric shape?The area of a two dimensional shape is the space enclosed by the boundary of the shape. The area of a rectangle is the product of its length and breadth, the area of a circle is π×(radius)².
Given that, the shorter side of a rectangle is 4cm.
Let the length of the longer side of the rectangle is x.
Then, the area of rectangle is 4x
Also, the sum of area of rectangle and a quarter circle is 33.4cm²
And the radius of quarter circle = shorter side of rectangle
Therefore, area of quarter circle = (1/4)×π(4)²
According to question,
4x + (1/4)π(4)² = 33.4
4x + 4π = 33.4
4x = 33.4 - 4×3.14
4x=20.84
x=5.21
Hence, the longer side of rectangle is 5.21 cm when the shorter side is 4cm and a quarter circle is drawn onto the shorter side of the rectangle.
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RSTV is an isosceles trapezoid with bases RV and ST and MN || RV. Name a pair of congruent angles.
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Answer:
the second answer
NMS MNT
Find the total surface area of the net below
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Answer:
75
Step-by-step explanation:
for the square in the middle, 7x4=28
for the triangles on the left and right 7x5=35 and since there are two of them you dont need to divide by 2
for the triangles on top and bottom, 3x4=12 and also 2 of them so you dont need to divide by 2
then just add it all up
Which ordered pair can be added to the table so that y is still a function of x
A. 4,5
B. 2,5
C. 0,4
D. -2,4
Answers
Answer:
A. 4,5
Step-by-step explanation:
No x-value can be repeated if the relation is to remain a function. The x-values already in the table are {-4, -2, 0, 2}. This list eliminates all answer choices except the first one: (4, 5) may be added to the table.
PLEASE HELP!!! I NEED ANSWERS NOW!!!
Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000 state-of-the-art pizza
oven. How many years ago did he make this investment? Show all your work and answer in a complete sentence.
Answers
Chef Alfredo made the investment 4 years ago.
To solve this problem, we have to use the formula of simple interest.
Data;
rate = 5%principal = 4800Simple Interest + principal = $6000T = time ?Simple InterestThe formula of simple interest is given as
[tex]S.I = \frac{PRT}{100}[/tex]
Let's subtract the principal from the final amount to know the simple interest
[tex]6000-4800=1200[/tex]
Substitute the values into the formula
[tex]s.i=\frac{prt}{100} \\1200=\frac{6000*5*t}{100}\\ 1200*100=6000*5*t\\120000=30000t\\t = 4[/tex]
The time he made that investment was 4 years ago
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A hummingbird flaps its wings 1500 times per minute while airborne. While migrating south in the winter, how many times during a 1.5 hour flight does the hummingbird flap its wings? (reminder- to get the extra credit you MUST attach work)
p.s. i need the work to how to do it
Answers
Answer:
135,000
Step-by-step explanation:
1.5 hour means 90 minutes
1500 * 90 = 135000
Hi i need help with question number 1
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2 min left and brainleist
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Answer:
y=3x.
Step-by-step explanation:
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answers
The greatest number for circle B is letter E
44.3 rounded to the tenths place
Answers
44.3
Step-by-step explanation:
After the decimal if the number is lesser than 5 you leave it as it is. If that isn't the number I'm sorry.
Find the area please help me
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Given: f(x) = 5x* - 3x² + 6x + 2. Find f(-2).
Answers
Answer:
f(-2) =-32
Step-by-step explanation:
f(x) = 5x* - 3x² + 6x + 2. f(-2)
f(-2) = 5(-2) - 3([tex]-2^{2}[/tex]) + 6(-2) + 2
f(-2) = -10 - 3(4) -12 + 2
f(-2) = -10 - 12 -12 + 2
f(-2) = (-10 - 12 -12) + 2
f(-2) = (-10 -24) + 2
f(-2) = (-34) + 2
f(-2) =-32
Hope that helps!
Answer:
[tex] \boxed{f( - 2) \: is \: - 32}[/tex]
Step-by-step explanation:
f(x) = 5x - 3x² + 6x + 2
f(-2) ?
substitute -2 as x into the equation of the function
f(-2) = 5(-2) - 3(-2)² + 6(-2) + 2
Note :positive × negative = negative(-x)² = -x × (-x)negative × negative = positive[tex]f( - 2) = - 10 - 3.4 + ( - 12) + 2[/tex]
[tex] f( - 2) = - 10 - 12 + ( - 12) + 2[/tex]
[tex] f( - 2) = - 22 - 12 + 2[/tex]
[tex]f( - 2) = - 32[/tex]
100×100×60×2(4) /3(2)×5(3)×32
Answers
Answer:
1666.67
Step-by-step explanation:
100×100×60×2×4
=____________________
3×2×5×3×32
=4800000
_________
2880
=1666.67
simplify the expression by combing terms.
8a+4b+2c-3b+a
Answers
Answer:
9a+b+2c
Step-by-step explanation:
combined like terms
divide 82 in the ratio 1:3
will give brainliest to whoever answers first
Answers
Answer:
20.5 : 61.5
Step-by-step explanation:
1:3
1 + 3 = 4
82 ÷ 4 = 20.5
ratio of 1:3
1 × 20.5 = 20.5
3 × 20.5 = 61.5
20.5 : 61.5
Suppose that a loan of $5500 is given at an interest rate of 13% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
?
Answers
Answer:
11,990
9% of 5500 is 495
(495+5500) [one year] x 2 [two years] = $11,990
At the end of 2 years, Aldo will owe $11,990.
Hope it helps
30. Tickets to a concert are $24 apiece. There is also a $5 handling fee for the
entire order. You and some friends ordered tickets and the bill came to a total
of $173. How many tickets did you order?
Answers
Answer:
7 tickets
Step-by-step explanation:
First, do 173 - 5 which is 168
Then, divided 168 by 24
That is equal to 7
You and ur friends ordered 7 tickets!
Hope this helps! :)
what is the total volume of the both storage space if one side of the large storage space is 4 feet long
Answers
Answer:
I believe your answer is 76.
Hope this helped!
if one fourth of a number is added to 5 then their sum equal to 25 find the number
Answers
Answer:
➢ 5.25
I hope it'll help you...
[tex]#CarryOnLearning[/tex]
The number that gives a value of 25 when 1/4 of the number is added to 4 is 80.
What is the number?The first step is to represent the information in the question as an equation:
1/4x + 5 = 25
In order to determine the number, take the following steps:
Combine similar terms
1/4x = 25 - 5
Add similar terms
1/4x = 20
Multiply both sides of the equation by 2
x = 80
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PLEASE HELP ASAP
1. Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on Sunday afternoons. During
football season, he has big television screens televising NFL games and he sells 72 pizzas.
a. What is the percent change?
b. did it increase or decrease?
c. answer in a complete question
(PLEASE SHOW WORK)
Answers
Answer:
a. 60%
b. increase
Step-by-step explanation:
To find the percentage, you can divide 72 by 45 to get the decimal increase, or 1.6. Percentage rates are decimals, and you can think about this like coloring 60 circles out of 100, representing 60% of 100. Since 72 is higher than 45, this was a percentage increase.
21) Jaquan earns $5 per hour raking leaves. He needs at least $170 to buy a new deo game system. Write an inequality that describes how many hours he must work to reach his goal.
Answers
(WORK SHOWN BELOW)
Urgent! Need help as soon as possible!
Above is a distance/time graph showing an object in motion. Use the information from the graph, write a scenario(story) about what the object is doing during each section.
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Answer:
Step-by-step explanation:
A car moves from rest. During the first 20 seconds, it moves uniformly to a distance of 40 m. Then it stopped there for 10 seconds. Then It takes 20 seconds to move uniformly back to the starting position.
Is it possible to form a triangle with side lengths 2.7, 3.1, and 4.3? If not, explain why not.
Answers
Answer:
YesThe sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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Answered by: ms115
#learnwithbrainly
What is 946 divided by 11?
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What is the equation of the line that goes through the points (1,1) and 3,-3)
Answers
Answer:
y = -2x + 3
Step-by-step explanation:
[]Let us write an equation in slope-intercept form.
-> See attached
-> Our equation will start out as y = x
[] The slope can be found by taking the change in y divided by the change in x
-> [tex]\frac{-3-1}{3-1}=\frac{-4}{2}=\frac{-2}{1}=-2[/tex]
-> Now our equation is y = -2x
[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.
-> y = -2x + b
(1) = -2(1) + b
1 = -2 + b
3 = b
-> Now our equation is y = -2x + 3, which is our final answer.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
y = -2x +3
Step-by-step explanation:
coordinates given (1,1) and (3,-3)
How to find equation? first find slope.
slope formula:
(y2-y1)/(x2-x1)
using this formula:
(-3-1)/(3-1)
-4/2
-2 ........this is slope also refereed as (m) in short form.
Use the formula:
y - y1 = m( x - x1)
using the formula:
y - 1 = -2( x - 1)
y -1 = -2x + 2
y = -2x +3
nick uses 8 dowels to make one birdhouse. if he bought 1,581 dowels, about how many birdhouses will he be able to make? (EXPLAIN) !!
Answers
AE=12 & EC=4, which of the following would NOT be possible lengths of DE & EB?
a. 8&6
b. 10&4.8
c. 24 & 2
d. none of these
Answers
hope this helps
what is the perimeter of an equilateral triangle whose height is 2 square root of 3
Answers
Answer:
the answer for this is 12
Answer:
Step-by-step explanation:
If we half the base of the equilateral triangle, which has a length of xcm, we can form a right-angled triangle with a base of x/2 cm and height 2√3 cm.
Now using Pythagoras' Theorem we solve for the hypotenuse:
[tex]x^{2} = (\frac{x}{2})^{2} + (2\sqrt{3})^{2}\\ x^{2} = \frac{x^{2}}{4} + 12\\ 4x^{2} = x^{2} + 48\\ 3x^{2} = 48\\ x^{2} = 16\\x = \frac{+}{}4\\ \\[/tex]
x must be positive as it is a length so we multiply 4 by 3 to get the perimeter of 12.
Find the domain of the graphed function
Answers
Answer:
B. [tex]-1 \le x \le 3[/tex]
Step-by-step explanation:
The domain is the possible x- values of a function. The x- values of this graph range from -1 to 3, so the answer is B.
Becky tells her friend about the Rule of 72 and her friend immediately
tries it out with her own example. Becky doesn't see all of her friend's
math but does see f(4) = 18 written on her friend's paper.
a. What do you know about the friend's investment based on this?
b. Is the friend's math correct based on the rule of 72?
Answers
Answer:
a. the investment earns 4%
b. yes
Step-by-step explanation:
The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...
f(x) = 72/x
__
a.We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.
__
b.Using the above formula, ...
f(4) = 72/4 = 18
The friend's math is correct.
Which of the following sets are continuous? Check all that apply.
A. {2, 4, 6, 8, ...)
B. (-0, +00)
C. (30, 45]
D. [60, 100)
E. {3,7)
Answers
Answer: The correct answer option is B.
Step-by-step explanation:
We are to determine whether which of the given data sets in the answer options are continuous.
For this, we need to know what a continuous data set is.
A data set that has no definite end to its value but keeps on continuing.
Here, the data sets are given in A, C, D, and E have definite starting and ending points.
While B is a continuous set as its values are continuing to infinity.