Answer:
9π/4 - 4.5 unit^2.
Step-by-step explanation:
The are of the segment = area of the sector - area of the triangle.
Area of the sector = 1/4 * area of the circle
= 1/4 π 3^2
= 9π/4. unit^2
Area of the triangle
= 1/2 * 3 * 3
= 9/2 unit^2.
So the answer is 9π/4 - 4.5 unit^2.
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4
Answer:
2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Answer: 2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Please HELP!!!!!!!!!
Answer:
The sides are 3 and 9
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + (3x)^2 = (3 sqrt(10))^2
x^2 + 9x^2 = 9*10
10x^2 = 90
Divide each side by 10
x^2 = 90/10
x^2 =9
Take the square root of each side
x = sqrt(9)
x = 3
The sides are x=3 and 3x = 3(3) = 9
Answer: x=10
Step-by-step explanation:
Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10
A cone and a cylinder have the same height and their bases are congruent circles
If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?
Answer:
30 cm³
Step-by-step explanation:
Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.
Volume of cone = ⅓ × 90 = 30 cm³
Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.Question 16 (1 point)
A car depreciates at a rate of 6%. Lisa purchased a car for $23,000. Using the
appropriate decay factor how much should it be worth 10 years after Lisa
purchased it?
Answer:
After 10 years that Lisa has bought the car, her car will have an approximate value of:
$12388.15Step-by-step explanation:
As you can identify in the exercise, every time a year passes, the value of the car has a decrease of 6% of its value that year, so what you should do is take the initial value of $23,000 and multiply it by 94% (the remaining value of its price), then take this result and multiply it by 94% and so on 10 occasions (since they are ten years of depreciation) as I show you below:
Value after depreciation = 23,000 * 94% = 21,620 Value after depreciation = 21,620 * 94% = 20,322.8 Value after depreciation = 20,322.8 * 94% = 19,103,432 Value after depreciation = 19,103,432 * 94% = 17,957,226 Value after depreciation = 17,957,226 * 94% = 16,879,793 Value after depreciation = 16,879,793 * 94% = 15,867,005 Value after depreciation = 15,867,005 * 94% = 14,914,985 Value after depreciation = 14,914,985 * 94% = 14,020,086 Value after depreciation = 14,020,086 * 94% = 13,178,880 Value after depreciation = 13,178,880 * 94% = 12,388,148Therefore, it would have a value of approximately $12,388.15 after ten years of its purchase.
Please answer #5 A-C!
Answer:a
Step-by-step explanation:I know
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
find the missing letter N if the width is 2ft and the area equal 28 sq ft
Answer:
Step-by-step explanation:
Area = 28 Sq.ft
length * width = 28
2 * n = 28
Divide both sides by 2
2n/2 = 28/2
n = 14 ft
Given the domain {-2, 1, 5}, what is the range for the relation 4x + y = 3?
{11, -1, -17}
{-5, 7, 23}
{-11, 1, 17}
{-1, 4, 8}
Answer:
Its the first one
Step-by-step explanation:
Answer:
FOR PLATO IS NUMBER 2
Step-by-step explanation:
(11,-1,-17)
Find the product of each sum and difference.
(21+9)(21-9)
30 12
Step-by-step explanation:
21 + 9 equals 30 21 - 9 equals 12
evaluate the following f(-2)=2x-7
Answer:
-11
Step-by-step explanation:
f(x)=2x-7
Let x = -2
f(-2)=2(-2)-7
= -4 -7
= -11
Each big square below represents one whole.
What percent is represented by the shaded area?
Answer:
59%
Step-by-step explanation:
No. of squares in a whole = 10*10=100
No. of spaces shaded = 59
No. of spaces not shaded = 41
Hence, percent represented by the shaded area = 59%
please help i suck at math:'(
Answer: B 6400 m
Step-by-step explanation:
Ms. Wilmith bought 4 bags of candies. Each bag contained 8 candies. She put an
equal number of these cand es into each of 9 gift boxes
How many candies were left over?
3
4
0
5
Answer:
Number of candy left = 5
Step-by-step explanation:
Given:
Number of bags = 4
Number of candies in each bag = 8
Number of Gift boxes = 9
Find:
Number of candy left = ?
Computation:
Total number of candies = Number of bags × Number of candies in each bag
Total number of candies = 4 × 8
Total number of candies = 32
According to Euclid division lemma:
a = bq +r
32 = (3)(9) + Remainder
32 = 27 + Remainder
Remainder = 5
Number of candy left = 5
The point P(x,y) lies on the terminal side of an angle theata = -60 degrees in standard position. What are the signs of the values of x and y
Answer:
a
Step-by-step explanation:
a
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
please help me please please please please
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
Please help with this
Answer:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
Step-by-step explanation:
A perfect square is a number that has two identical factors, meaning it can be square rooted. The numbers 64 and 100 are an example:
8 · 8 = 64
10 · 10 = 100
So when you take the square root of [tex]\frac{64}{100}[/tex], you get:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
It doesn't say to simplify, so we can just leave it at that.
What is the product of the binomials below?
(5x + 2)(4x +4)
You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.
5x*4x=20x^2
5x*4=20x
2*4x=8x
2*4=8
Combine them all together and you get 20x^2 + 28x +8
I hope this helps.
Answer:
20x^2 + 28x + 8
Step-by-step explanation:
you use the box method shown in the picture to multiply then combine like terms
Which set of numbers would have no mode?
5, 1, 3, 1, 5
1, 2, 3, 3, 4, 5
-2, -2, -2, 2, 2, 2
0, 0, 1, 2, 3
Answer:
They all have a mode
Step-by-step explanation:
Answer: All of them do
Explanation: I would check with your instructor on this one.
The mode is the number that appears most frequently in a data set.
In all these sets here, there is a number that appears most frequently.
However, there are two sets that have 2 modes.
These sets are 5, 1, 3, 1, 5 and -2, -2, -2, 2, 2, 2.
What is the value of x when 1/3x=9 1/3?
Helppp nowww
Answer:
x=28
Step-by-step explanation:
[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]
The value of x is 28.
What is mixed fraction?
A mixed fraction represented with its quotient and remainder is a mixed fraction.
How to convert a mixed fraction fraction into an improper fraction?To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.
According to the question:
we have
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
for finding the value of x
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]
⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex] (multiply both the sides by 3)
⇒ [tex]x= 28[/tex]
The value of x is 28.
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19. Alyse is writing down some notes to argue her case as to how the
body functions when riding a bike. Select the correct phrases below to
help finish these notes.
Answer: Bro write the question better
Step-by-step explanation:
When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?
(x*y)*z=144
x = y*3
z = y*2
please help
Answer:
whats the question that u need help with
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)
Question 1 options:
1)
negative five thirds
2)
negative three fifths
3)
three fifths
4)
five thirds
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )
- 3y = - 5x + 12 ( divide all terms by - 3 )
y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
How do you find the height of this trapezoid?
Answer:
Step-by-step explanation:
sin 60 = h/12
h = 12sin60
h = 12* √3/2 = 6√3 cm
Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
The diagram below is divided into equal parts. Which shows the ratio of unshaded sections to shaded sections
Answer:
5 to 1.
Step-by-step explanation:
There are 5 unshaded and one shaded section so it's
5:1.
The ratio of unshaded sections to shaded sections is;
Option D; 5 to 1
We are told that the diagram is divided into equal parts.
Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.
This means that the ratio of unshaded sections to shaded sections is; 5 to 1.
In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.
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