Answers
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
Related Questions
Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number.
Answers
Answer:
A = 2/15 gallons per bottle
Step-by-step explanation:
Given;
Total volume of ketchup V = 2 gallons
Number of bottles N = 15
The amount of ketchup per bottle A;
A = total volume of ketchup ÷ number of bottles
A = V/N
Substituting the values;
A = 2gallons ÷ 15bottles
A = 2/15 gallons per bottle
Answer:
2/15
Step-by-step explanation:
2 divided by 15 is the same or equal to 2/15
example: 2 divided by 15= 2/15
What’s the answer to this question?
Answers
Answer:
h=2A/b
Step-by-step explanation:
Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.
explanation: i took the test :)
Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______
Answers
Answer:
g(x)=(x^2)-3
Step-by-step explanation:
f(x) is shifted down by 3 units
1. Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. Which of the following is a true statement?
a. The group purchased 4 adult tickets.
b. The group purchased 9 kid’s tickets.
c. Both a and b are true.
d. Neither a nor b are true.
Answers
Answer:
A
Step-by-step explanation:
Multiply the cost of an adult ticket by 4 which is 36 and then subtract it from 91 you will get 55. You will see that 55 is divisible by 5 so you get 11kids
WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a
Answers
Answer: B
Negative a squared b and 5 a squared b
Step-by-step explanation:
Given that:
Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,
- a^2b + 6ab - 8 + 5a^b - 6a - b
Collecting the like term by rearranging the expression
5a^2b - a^2b + 6ab - 6a - b
The like terms in the expression above are
5a^2b - a^2b.
The correct option is B:
Negative a squared b and 5 a squared b or (-a^2b and 5a^b)
Answer:
B
Step-by-step explanation:
Negative a squared b and 5 a squared b
Step-by-step explanation:
Given that:
Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,
- a^2b + 6ab - 8 + 5a^b - 6a - b
Collecting the like term by rearranging the expression
5a^2b - a^2b + 6ab - 6a - b
The like terms in the expression above are
5a^2b - a^2b.
The correct option is B:
Negative a squared b and 5 a squared b or (-a^2b and 5a^b)
Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my work, thank you!
Answers
Answer:
21+12i i hope this will help you
Step-by-step explanation:
(3-4i)(1+5i)-(2-i)
=[3(1+5i)-4i(1+5i)]-(2-i)
=[3+15i-4i-20i²]-(2-i)
=(3+11i-20i²)-(2-i)
opening brackeys
=3+11i-20i²-2+i
=3+11i+1i-20i²-2
as we know that i²=-1
=3-20(-1)-2+12i
=3+20-2+12i
=21+12i
The expression (3 - 4i)(1 + 5i) - (2 - i) is simplified as 21 + 12i
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be A = (3 - 4i)(1 + 5i) - (2 - i)
Now , we know i² = -1
And , on simplifying the expression , we get
A = (3 - 4i)(1 + 5i) - (2 - i)
A = 3 + 15i - 4i - 20i² - 2 + i
A = -20i² + ( 3 - 2 ) + ( 15i - 4i + i )
A = -20 ( -1 ) + 1 + ( 11i + i )
A = 20 + 1 + 12i
A = 21 + 12i
Hence , the value of the expression (3 - 4i)(1 + 5i) - (2 - i) is ( 21 + 12i )
To learn more about equations click :
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The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answers
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
which of the following statements are Ture...?
ANWSER:
[] The prime factorization of 14 is 2 times 7.
[] The prime factorization of 21 is 3 times 7.
[] 21 is a prime number.
[] 14 is a composite number
[] The GCF of 14 and 21 is 14.
[] The LCM of 14 and 21 is 42
Answers
Answer:
1, 2, 4, 6 are true statements
Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?
Answers
Answer:
-3/8 +4x -9z
Step-by-step explanation:
this should be the translated answer, the variables don't need a multiplication sign because they aren't written as numbers
Henry's wage is £450 per week.
He spends 2/5 of his wage on food.
30% goes on the household bills and the rest is saved.
How much does Henry save each week?
Answers
Answer:
He saves £135 each week
Step-by-step explanation:
He spends 2/5 of his wage on food
2/5x450=£180
He spends 180£ on food each week
30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills
so his total expenditure is 135+180= £315
he saves the rest which is £135.
thus, your answer is £135
78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.
Answers
Answer:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
btw i need two answers for bc not just one
Answers
Answer:
AB = 30 inch
BC = 14 inch or BC = 50 inch
Step-by-step explanation:
Make a drawing. Please see the attachment. All measurements are in inches.
Consider the two triangles:
∆ ABC and ∆ AB'C
1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.
AN is the height and there fore is perpendicular to NC and thus also to BC.
In ∆ ANC
AN² + NC² = AC²
We want to calculate NC, so:
NC² = AC² - AN²
Given: AC = 40 and AN = 24
NC² = 40² + 24²
NC² = 1600 + 576
NC² = 1024
NC = +-SQRT(1024)
NC = 32
NC = NB + BC
We want to know BC
BC = NC - NB
Given: NB = BN = 18 and we just calculated NC to be 32 so...
BC = 32 - 18
BC = 14
2. Looking only at ∆ AB'C
AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.
AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.
In ∆ AB'N
c² = a² + b²
AB'² = AN² + B'N²
Given: AN = 24 and B'N = 18
AB'² = 24² + 18²
AB'² = 576 + 324
AB'² = 900
AB' = +-SQRT(900)
AB' = 30
In ∆ AB'C
with AB' = 30 and AC = 40
c² = a² + b²
B'C² = AB'² + AC²
B'C² = 30² + 40²
B'C² = 900 + 1600
B'C² = 2500
B'C = +-SQRT(2500)
B'C = 50
Now we have our answers.
Extra:
Please look at the picture again, but now concentrate on the indicated 50 and - 50...
I am trying to explain something about the meaning of the outcome of mathematical calculations like:
c² = 2500
c = +- SQRT(2500)
c = 50 or c = - 50
Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...
1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?
2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).
It is important to understand that a negative sign means the 180° in the direction of the other way.
In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -
minus value of your calculated outcome.
Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.
I hope this has made some sense to you :-).
I really need help with this I don't understand it.
Answers
Answer:
(10x + 37) and (15x+7) are vertical angles which are always equal
10x + 37 = 15x +7
5x = 30
x = 6
The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees. All 4 of the angles add up to 360 degrees.
Therefore, 360 = 2z + 97 + 97
2z = 166
z = 83
Step-by-step explanation:
What is the product of 8/9 and 2/7
Answers
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63
The Answer is: 16/63
You just multiply 8/9 & 16/63
Complete the following: 2197 is the CUBE root of ______
Answers
Match the graph to the correct inequality below.
Answers
Answer:
x > -3
Its an open dot so its not the one with the line under it.
What is the value of the rational expression below when xis equal to 3?
15 - X
9-X
Answers
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6
Answer:
15-x is 12
9-x is 6
Step-by-step explanation:
Find the exact value using trigonometric identities.
License plates in Ontario have four letters (A-2) followed by three numbers (0-9). Letters and numbers can be repeated.
How many different license plates could be made?
676,000
480,835,200
4,569,760,000
26,000
Answers
Answer:
456976000
Step-by-step explanation:
There are 26 letters and 10 digits
4 letter then 3 numbers
26*26*26*26*10*10*10
456976000
After proving two triangles are congruent, then one can prove parts of a triangle are congruent using the reasoning CPCTC.
True
False
Answers
Answer:
The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.
solve for x
8x+1=-71
Answers
Answer:
-9
Step-by-step explanation:
8x + 1 = -71
8x = -72
x = -9
Answer:
x = -9.
Step-by-step explanation:
8x + 1 = -71 Subtract 1 from both sides:
8x + 1 - 1 = -71 - 1
8x = -72
x = -72/8
x = -9.
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answers
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters
Answers
Answer:
Ryan had a head start of 10 meters
Answer:
Ryan had a head start of 10 meters.
Have a great day!
Step-by-step explanation:
Please mark me brainliest!
If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.
Answers
Answer:
3/4
Step-by-step explanation:
Let the unknown number be x.
Subtract 1/2 from the unknown number: x - 1/2
Multiply the result by 1/2: 1/2(x - 1/2)
You get 1/8: 1/2(x - 1/2) = 1/8
Now we solve the equation for x.
1/2(x - 1/2) = 1/8
Multiply both sides by 2.
2 * 1/2(x - 1/2) = 2 * 1/8
x - 1/2 = 1/4
Multiply both sides by 4
4x - 4 * 1/2 = 4 * 1/4
4x - 2 = 1
Add 2 to both sides.
4x = 3
Divide both sides by 4.
x = 3/4
Answer: The number is 3/4.
Evaluate:
12.16 x .13 =
Answers
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
Calculate the measures of variability for the data set. The range is
Answers
There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation. In the next few paragraphs, we will look at each of these four measures of variability in more detail.!!!!!!!!
rational numbers are always sometimes never natural numbers
Answers
Answer:
Rational numbers are sometimes natural numbers
Step-by-step explanation:
8 is a Rational number and is natural too
1/2 is a Rational number and but is not natural
Help, please! An explanation would be great, I'm so confused on this question-
Answers
Answer:
a=250 and b=10
Step-by-step explanation:
a=5*100/2=250
b=200*5/100=10
Answer:
a = 250
b = 10
Step-by-step explanation:
1) a = [tex]\frac{5x^2}{2}[/tex]
Putting x = 10
a = 5(10)²/2
a = 5(100)/2
a = 250
2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]
Putting x = 10
b = 2(10)²(10-5) / 10(10)
b = 2(100)(5) / 100
b = 1000 / 100
b = 10
Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18
Answers
Answer:
-10827is the answer for your question I think
Answer:
[tex]-9[/tex]
[tex]8[/tex]
[tex]18[/tex]
Step-by-step explanation:
[tex]-7-2=-9[/tex]
[tex]12+(-4)=8[/tex]
[tex]-3(-6)=18[/tex]
I need help showing my work for the picture I've attached! I already have the answer as you can see below :)
Answers
Answer:
3x²y∛y
Step-by-step explanation:
∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y
I need help with this :(
Answers
Answer:
1. 4 2. 4 3. 5 4.1
Step-by-step explanation:
first box is 4 second box is 4 third is 5 fourth is 1.
You're welcome.
