Answer: True
Step-by-step explanation:
A supplementary angle refers to the angles that has a sum of 180° when they're added together.
We should note that a right angle equals to 90°, therefore the other angle in the supplementary angle will be:
= 180° - 90°
= 90°
Since a right angle equals 90°, then the other angle must be a right angle.
Therefore, the answer is TRUE.
Let F be the set of fractions in simplest form between 0 and 1 that can be written with a single-digit denominator. Find F and |F|
Answer:
|F| is 27, the whole F is "listed" below.
Step-by-step explanation:
The set of possible denominators is the numbers from 2 to 9. Each of them produces a single fraction for each numerator that's coprime to it.
Let's list those for each:
2: 1
3: 1 2
4: 1 3 (2 is not coprime)
5: 1 2 3 4
6: 1 5 (2 3 and 4 are not coprime)
7: 1 2 3 4 5 6
8: 1 3 5 7
9: 1 2 4 5 7 8 (3 and 6 are not coprime)
To make any number from F, just take the denominator from the rows and the numerator from the list. The size of F is 1 + 2 + 2 + 4 + 2 + 6 + 4 + 6 = 27
The set/number of fractions F for each denominator are ; ( 1, 2, 2, 4, 2, 6, 4, 6 ) .while the value | F | = 27
Given that the set of fractions are between 0 and 10. the possible single digit denominators will be ( 2 through 9 ). also the single digit denominators will have to produce a single fraction where its numerator is coprime to the denominator.
note : coprime numbers are a set of numbers whose HCF (highest common factor ) equals 1
denominators co-prime numerators
2 1
3 1, 2
4 1, 3
5 1, 2, 3, 4
6 1, 5
7 1, 2, 3, 4, 5, 6
8 1, 3, 5, 7
9 1, 2, 4, 5, 7, 8
next : Determine the size of F i.e. | F |
The size of F = ∑ number of coprime numerators for each denominator
= 1 + 2 + 2 + 4 + 2 + 6 + 4 + 6 = 27
set of fractions F for each single digit denominator = ( 1, 2, 2, 4, 2, 6, 4, 6 )
Learn more : https://brainly.com/question/4656499
Amy is 4 years older than April. Together, their age is 24. How old is April and how old is Amy?
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How much interest is earned in 5 years on $8400 deposited in an account paying 6% interest, compounded semiannually? (Round your answer to two decimal places.)
Answer:
£11241.09
Step-by-step explanation:
100+6 = 106%
106% = 1.06
8400 x 1.06^5= £11241.09485
Round to 2 d.p = £11241.09
Hope this helps
Clare has 5 fewer books than Mai. If Mai has 17 books, how many books does Clare have? Find the solution.
Answer:
12 books
Step-by-step explanation:
17 books - 5 books = 12
Answer:
c-12
Step-by-step explanation:
17-5=12
Between which two consecutive integers is each number located on a number line?
7.81
Answer:
7;8
Step-by-step explanation:
7 < 7.81 < 8
-3(4x - 2) = 42
A x=3
B x=-3
C x=3.67
D x=7
Answer:
B) x=-3
Step-by-step explanation:
-3(4x-2)=42
4x-2=42/-3
4x-2=-14
4x=-14+2
4x=-12
x=-12/4
x=-3
What is the perimeter and area of the composite figure?
Answer:
P = 33
A = 3900
Step-by-step explanation:
simplify the following expression 3 x 6 + 5 x 2 diveded by 7
I needed the answer in one second please
Answer:
4
Step-by-step explanation:
PLEASE PLEASE HELP
Wyatt built a new dog house and needs to paint it.
44"
42
22.5
44.5"
28"
28
42
38.6"
In order to paint the house, Wyatt multiplies the area of the base times the height then adds half the area of the base times the height.
Explain whether or not Wyatt correctly calculated the surface area of the house.
9514 1404 393
Answer:
Wyatt is incorrect in his calculations
Step-by-step explanation:
The units of base area are square inches. When Wyatt multiplies that by height, he gets a number with units of cubic inches. This is a volume, not an area. If Wyatt is trying to compute an area, he is doing it incorrectly.
_____
Additional comment
I find units analysis to be very helpful in keeping calculations of speed, distance, area, volume, acceleration, velocity, and other physical phenomena straight. If the units come out right, chances are much better that the numbers are being combined appropriately.
Wyatt may need to be using the perimeter of the base, rather than the area of the base. Without the diagram it is tough to tell what the calculation should be.
What is the length of side BC of the triangle?
Answer: -9
Step-by-step explanation: it is -9 because 3x-3 equals -9. I hope this will help!
in a box of chocolates 1/4 Are white chocolates, 5/8 Are dark and the rest are brown chocolates. What fraction of the chocolates are brown.
Answer:
This is your answer ☺️☺️☺️
7 (4 1/3) using distributive property
Answer:
so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3
Step-by-step explanation:
The price of an item has been reduced by
45%
. The original price was
$15
Answer:
8.25
Step-by-step explanation:
15*.45=6.75
15-6.75=8.25
Answer:
Step-by-step explanation:
15x45%= $6.75
thirty percent of all seventh graders own a bracelet. explain whether the sample closely estimates the percentage of seventh graders who own a bracelet.
30 seventh graders, 3 own a bracelet
The sample of 3 seventh graders who own a bracelet out of 30 seventh graders does not closely estimate the thirty percent of all seventh graders owning bracelets.
What is a percentage?Percentages are fractions where the denominator is 100.
We have,
Number of seven grade students = 30
Number of students who own a bracelet = 3
The percentage of seven grade student who owns a bracelet:
= (3 / 30) x 100
= (1/10) x 100
= 10 %
This means that 10% of seven grade student owns a bracelet.
Thus, the sample does not closely estimate the percentage of seventh graders who owns bracelets.
Learn more about percentages here:
https://brainly.com/question/17151247
#SPJ2
Find the following
(u•w)(2)=
(w•u)(2)=
Answer:
[tex](u \circ w)(2) = -34[/tex]
[tex](w \circ u) = -49[/tex]
Step-by-step explanation:
We are given these following functions:
[tex]u(x) = 4x + 2[/tex]
[tex]w(x) = -5x + 1[/tex]
The first step to solve this question is finding the composite functions. So
[tex](u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6[/tex]
[tex](w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9[/tex]
At x = 2
Now we replace x by 2 in each of the functions. So
[tex](u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34[/tex]
[tex](w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49[/tex]
Find the area of the figure help pls
Answer:
25
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3x = -12 what is the answer to that?
SHOW UR WORK
Answer:
-4
Step-by-step explanation:
x=− 3 /12
x=-4
Evaluate the expression when x = 4
8x + 6
Answer:
38
Step-by-step explanation:
could be wrong
-12 is less than or equal to 44 + x
giving brainliest !!!
Answer:
156.6 meters squared
Step-by-step explanation:
There are 3 triangles for the sides. The area for a triangle is one half base times height. So we are doing one half of 9 times 9. This is 40.5. Since there are 3 of them we can just multiply 40.5 times 3 to get 121.5. And now to solve for the base triangle, it is one half of 9 times 7.8. We get 35.1. Now add together 121.5 and 35.1. We get 156.6. Now since this is surface area it is meters squared.
The graph of a function is shown below. Which value is not a domain of the function ?
A.)-8
B.)-7
C.)3
D.) 8
An object with a mass of 66.5 kg accelerates 22.3 m/s when
an unknown force is applied to it. What is the amount of the
force?
Answer:
Step-by-step explanation:
F=ma
F=66.5kg(22.3m/s)
F=1482.95N
What is the area of this face? 12ft 6ft 6ft 6ft
Answer:
I don't know. I think I need the picture that is associated with it.
Step-by-step explanation:
If you are looking for an i-Ready answer, It is 180 ft squared
what is the scale factor of the small triangle to the large triangle?
Answer:
I'm pretty sure it's 4.3?
Step-by-step explanation:
Because you divide the larger triangles side first because you are figuring out the scale factor of the small triangle to the larger triangle, not the other way around.
Sorry if i'm wrong
Answer:
first, find the area of the small triangle: 3 times 3 equals 9 divided by 2 equals 4.5.
second, find the area of the big triangle: 13 times 13 equals 169 divided by 2 equals 84.5.
Find difference: 84.5 minus 4.5 equals 80
What is the solution to the expression
Please try, I’ll give Brainliest, and 70 points to the one who answers this
It’s due tomorrow so answers ASAP
(3/8+2/3)+1/3 what would it be
Answer:
1.375 or 1/38
Step-by-step explanation:
(3/8+2/3)+1/3
(1.04166666667)+1/3
1.375 or 1 3/8
A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. How much should the game owner charge to make it a fair game?
Answer:
$0.40
I had the same question and it was $0.40
Answer:
$0.55
Got it on the test, hope this helps :)
What is the volume?
Answer: 108 cm^3
Step-by-step explanation:
2 x 5 x 8 = 80
7 x 2 x 2 = 28
80 + 28 = 108
B
280
D
C
What is the measure of angle ADB?
A. 17°
Answer:
C. 62
Step-by-step explanation:
ADC is 90 degrees. 90 - 28 = 62