If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
What is Fraction?A fraction represents a part of a whole.
Given that rena divides a square into 8 equal part.
A division is a process of splitting a specific amount into equal parts.
Let the whole square is divided into eight equal parts.
Which can be represented by 1/8.
Where the numerator 1 represents the whole and eight represents the parts.
The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.
This means each part is one eighth of the whole.
Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
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Students were asked to simplify the expression the quantity cosecant theta minus sine theta end quantity over cosecant period Two students' work is given. (In image below)
Part A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused. (5 points)
Part B: Complete the student's solution correctly, beginning with the location of the error. (5 points)
Answer:
A. student A is correct; student B was confused by the division
B. 3: cos²(θ)/(sin(θ)csc(θ)); 4: cos²(θ)
Step-by-step explanation:
Each student correctly made use of the trig identities ...
csc(θ) = 1/sin(θ)
1 -sin²(θ) = cos²(θ)
__
A.Student A's work is correct.
Student B apparently got confused by the two denominators in Step 2, and incorrectly replaced them with their quotient instead of their product.
__
B.The transition from Step 2 can look like ...
[tex]\textsf{Step 3: }\ \dfrac{\left(\dfrac{1-\sin^2\theta}{\sin\theta}\right)}{\csc\theta}=\dfrac{1-\sin^2\theta}{\sin\theta}\cdot\dfrac{1}{\csc\theta}=\dfrac{\cos^2\theta}{(\sin\theta)(\csc\theta)}\\\\\textsf{Step 4: }\ \cos^2\theta[/tex]
In the figure below, the segments IJ and IK are tangent to the circle centered at O. Given that OJ=8.4 and OI=15.9, find IK.
Answer:
IK = 13.5
Step-by-step explanation:
A^2 + B^2 = C^2
(8.4)^2 + B^2 = (15.9)^2
70.56 + B^2 = 252.81
B^2 = 182.25
B =13.49925... ≈ 13.5 = IK
Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches
Answer:
29 inches
Step-by-step explanation:
add all the sides
11+4+3+4+7=29
Answer:
29 inches
Step-by-step explanation:
⇒ Perimeter = Sum of the lengths of the sides
⇒ P = 11 + 4 + 3 + 4 + 7
⇒ P = 18 + 11
⇒ P = 29 inches
Mrs. Angle has 12 students in her advanced algebra class. On a recent test, the average was 80. When Beth asked for her score, Mrs Angle could not find it, but she did remember adding Beth's score in the average. She also remembered Beth had passed. These are the scores of the other students
65, 65, 70, 70, 80, 85, 90, 90, 90,100.
What is Beth's score?
Answer:
75Step-by-step explanation:
Let the Beth's score is x.
The average is 80.
Solve the following equation:
average = sum / number(65*2 + 70*2 + 80 + 85 + 90*3 + 100 + x)/11 = 80805 + x = 80*11x = 880 - 805x = 75Beth's score was 75
sophia is designig a logo with three lines,y, m, and n. Line m passes through point (-2, -1) and is perpendicular to the graoh of y=-2/3 x +6. line n is parallel to line m and passes through the point (4, -3). what is the equation in slope-intercept form of linen?
Answer:
y = 3/2x - 9
Step-by-step explanation:
Finding equation of line m
⊥ to the line y = -2/3x + 6new slope = -(-3/2) = 3/2Passes through the point (-2, -1)y + 1 = 3/2(x + 2)y + 1 = 3/2x + 3y = 3/2x + 2Equation of line n
Parallel ⇒ slope is same = 3/2Passes through the point (4, -3)y + 3 = 3/2(x - 4)y + 3 = 3/2x - 6y = 3/2x - 9Answer:
[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]
Step-by-step explanation:
Equation of line m
If two lines are perpendicular to each other, the product of their slopes will be -1.
The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]
Therefore, the slope of the line m is:
[tex]\implies m \times -\dfrac23=-1[/tex]
[tex]\implies m=\dfrac32[/tex]
If line m passes through point (-2, -1), then the equation of line m is:
[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]
[tex]\implies y+1=\dfrac32(x+2)[/tex]
[tex]\implies y=\dfrac32x+2[/tex]
Equation of line n
If line n is parallel to line m, then they will have the same slope.
Therefore, slope of line n is [tex]\frac32[/tex]
If line n passes through point (4, -3), then the equation of line n is:
[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]
[tex]\implies y+3=\dfrac32x-6[/tex]
[tex]\implies y=\dfrac32x-9[/tex]
10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30
Answer:
35.70
Step-by-step explanation:
because 15% of 42 is 6.3 and 6.3 - 42 = 35.70
can somebody help me please
________________________________________________
Calculate[tex]Substitute\ x=4\ into\\ f(x)=7x^2+4x-6[/tex]
_________________________________________________
Substitute[tex]f(4)=7\times 4^2+4\times 4-6[/tex]
___________________________________________________
Calculate the power[tex]f(4)=7\times 16+4\times 4-6[/tex]
___________________________________________________
Calculate the product or quotient[tex]f(4)=112+4\times 4-6\\ f(4)=112+16-6[/tex]
___________________________________________________
Calculate the sum or difference[tex]f(4)=128-6\\ f(4)=122[/tex]
I hope this helps you
:)
PLEASE
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
Step-by-step explanation:
m = (-5-0)/(1+4) = -5/5 = -1
b = (0, -4)
y = mx + b
y = -x - 4
Answer:
y = -x - 4
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
The b is the y-intercept. That is where the line crosses the y-axis. This line crosses the y-axis at -4.
You could calculate the slope, but with a graph, you can SEE the slope without doing any calculation. Find a point on the line, any point. To get to the next point, you go DOWN1 and OVER1, (down1, over1, down1, over1)
This is -1/1. The slope is -1. Fill that in for m.
Leave the x and y as-is in
y = mx + b
fill in -1 for m and -4 for b.
y = -x - 4
If your teacher/prof is expecting to see a calc for slope. Find two points on the line. Subtract y-y and put that on top. Subtract x-x and put that on the bottom. Simplify.
Given points:
(1,-5) and (-4,0)
-5 - 0 is -5, put on top.
1 - -4 is 5, put underneath. You get -5/5, which is -1. Slope is -1.
Please answer the question in the picture for brainliest
Answer:
26
Step-by-step explanation:
simply count the number of times the team scored more than 50 points by looking at the graph.
the team scored 51-60 points 11 times, 61-70 points 12 times and 71-80 points 3 times.
so the team scored more than 5 points a total of 11 + 12 + 3 = 26 times
Answer:
26
Step-by-step explanation:
Game scores above 50 points can be represented by the last three boxes to the left. To find the total number of times this happened, add up the values measured by the y-axis:
51-60 = 11 games
61-70 = 12 games
71-80 = 3 games
11 + 12 + 3 = 26
I hope this helps!
What is the range of the function graphed below?
How much will $2000 deposited in an account earning 5% interest compounded
annually be worth in 20 years?
Answer:
Interest = 2000
Total = 4000
Step-by-step explanation:
The formula to find interest:
Interest = Original Amount x Rate x Time.
Substitute the numbers into the formula.
I = 2000 x 0.05 x 20
You must change the percentage to a decimal.
Solve for I
I = 2000 x 0.05 x 20 = 100 x 20 = 2000
The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.
2000 + 2000 = 4000
I hope this helps and please mark me as brainliest!
When K is negative the parabola ………..
Answer:
has its vertex below the x-axis
Step-by-step explanation:
In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.
__
When k is negative, the parabola has its vertex located below the x-axis.
Find the value of x. X+5 4 2x A x = [?] Enter
Answer:
x = 3
Step-by-step explanation:
In [tex]\triangle ABC,\: DE||AC[/tex]
[tex]\implies [/tex]By Basic Proportionality Theorem:
[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]
88.60 plus what equals 153.25
Answer:
64.65
Step-by-step explanation:
153.25 - 88.60 = 64.65
88.60 + 64.65 = 153.25
Answer:
64.65
Step-by-step explanation:
153.25 - 88.60 = 64.65
64.65 + 88.60 = 153.25
Solve the equation for x. Assume a≠0. 4=ax−14
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \tt \dashrightarrow \:4 = ax - 14[/tex]
[tex]\qquad \tt \dashrightarrow \:ax = 4 + 14[/tex]
[tex]\qquad \tt \dashrightarrow \:ax = 18[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \dfrac{18}{a}[/tex]
Susan gave 1/6 of a pizza to her brother. She gave 1/3 of what was left to
her mother. Susan ate the rest herself. What fraction of the pizza did Susan
eat?
°1/2
°1/9
°1/18
°5/9
Answer:1/2
Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.
What is the measure of m?
6
24
m
m= 6y[?]
Give your answer in simplest form.
Similar triangles are those triangles whose corresponding sides are in the same ratio. The measure of m is 6√4.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
In the given triangles ΔABC and ΔBCD,
∠ACB = ∠DCB {Common Angles}
∠BDC = ∠ABC =90°
Therefore, the two triangles are so, for triangles.
(6+24)/BC = m/n = BC/24
BC² = 30×24
BC = √720
Now, using the Pythagorean theorem,
AC² = AB² + BC²
30² = m² + (√720)²
900 = m² + 720
180 = m²
m = 6√4
Hence, the measure of m is 6√4.
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what is the answer because i dont know
Answer:
x° = 68°
Step-by-step explanation:
angle EGB = x° = angle AGF = complementary angle of 22°
The complementary angle of 22° is :
[tex]x^{o} =(90-22)^{o} =68^{o}[/tex]
Hope this helps
Please help me I will mark BRAINLY
Answer:
see explanation
Step-by-step explanation:
(a)
5% of N 80000
= [tex]\frac{5}{100}[/tex] × 80000
= 0.05 × 80000
= N4000 ← VAT
(b)
total cost = 80000 + 4000 = N84000
PLEASE HELP PLEASE HELP PLEASE
blue stars. let’s talk a bit about temperature. The color of a star is a function of its temperature. If a star looks red, that means its surface temperature is approximately 2,500 Kelvin. Just for comparison, our Sun, which actually looks white from space, measures about 6,000 Kelvin. The hotter the star, the further up the spectrum you go. The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes.
What is true about the domain and range of the function?
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Answer:
The domain is all real numbers greater than or equal to 4, and the range is all real numbers
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if 8 pieces are 220 calories how many calories is 1 piece
Step-by-step explanation:
8 pieces = 220 colories
1 piece = 220/8 = 27.5 calories
Answer:
27.5
Step-by-step explanation:
8 divided by 220 = 27.5
Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that
And Hope This Helps
Find the domain and range of the function graphed below.
Domain:
Range:
The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).
How to find the domain and range of a functionThe domain of a function is the input value for which the function exists while the range is the output value for which the function exists.
For the graph, the domain lie across the x-axis. The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).
Note that point where the circles are shaded shows a closed interval
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Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² =-7
A. - 77
B. 49
C.-3.5
D. 17
DE.-7.
DF. None of these
Answer:C is the right answer
Step-by-step explanation:
What is the measure of BDC?
Answer:
250 degrees
Step-by-step explanation:
180-55 = 125
360-125= 250
Drag each expression to show whether it is equivalent to 54x + 18 or
(6 · 9x) + (6 · 1).
Answer:
The first one should belong in the 54x+18 due to multiplication
The second answer choice has distributive property which has to belong in the 54x+18 category
The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.
The last one should be in the 54x+18 category because of the distributive property
Step-by-step explanation:
The Objectives: 54x+18 and (6(9x) + 6
The first one should belong in the 54x+18 due to multiplication
The second answer choice has distributive property which has to belong in the 54x+18 category
The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.
The last one should be in the 54x+18 category because of the distributive property
the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?
Answer:
10, 41, 42
Step-by-step explanation:
(n)+(4n+1)+(5n-8)=93 because triangle perimeter
10n-7=93
10n=100
n=10
Answer: 10 cm, 41 cm, and 42 cm
Step-by-step explanation:
We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.
Perimeter of a triangle:
P = side a + side b + side c
Plug in our known values:
93 cm = (n) + (4n + 1) + (5n - 8)
Simplify and combine like terms:
93 cm = n + 4n + 1 + 5n - 8
93 cm = n + 4n + 5n + 1 - 8
93 cm = 10n -7
Add 7 to both sides of the equation:
100 cm = 10n
Divide both sides of the equation by 10:
10 cm = n
n = 10 cm
-
Solve for the lengths of each side:
n = 10 cm
4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm
5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm
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sestion 1
In one week, Neha spends hours cooking and y hours cleaning.
The time she spends cleaning is at least equal to the time she spends cooking.
This can be written as y > r.
She spends no more than 16 hours in total cooking and cleaning.
What are the two inequalities in x and /or y to show this information
Answer:
Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R
The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.
__________________________________________________________
Questions?Ask in the comments box.
6 sushi rolls cost $8.99
1/3 + 1/3=
5/10-2/10=
=
4/5-2/5=
11+1=
=
Answer:
Step-by-step explanation:
1/3 + 1/3= 2/3
5/10-2/10=3/10
4/5-2/5=2/5
11+1=12
