Answer:
57
Step-by-step explanation:
Firstly, we will need to calculate what x is.
To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.
This means A and B are supplementary while B and C are also supplementary
what we are trying to say is that they add up to be 180
Thus,
5x + 18 + 3x -6 = 180
8x +12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57
Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57
Jerry has a CD case that contains 4
country music CDs, 1 rock and roll CD,
2 rap CDs, and
3 Tejano CDs.
What is the probability of Jerry
randomly selecting a Tejano CD and the
without replacing it, randomly selecting
a rap CD from his case?
Answer:[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
Given
There are
4 country music CD
1 rock and roll CD
2 rap CD
3 Tejano CD
[tex]\text{Probability that Jerry randomly select a Tejano CD and then a rap CD from his case}=\text{Probability of selecting a Tejano CD}\times \text{Probability of selecting a rap CD}[/tex]
[tex]P=\frac{3}{10}\times \frac{2}{9}[/tex]
[tex]P=\frac{2}{30}[/tex]
[tex]P=\frac{1}{15}[/tex]
Gloria needs 2/5 yard of ribbons to make each bow. Write and solve an equation to find how any bows she can make with 8 yards of ribbon
Answer:
Equation : [tex]\frac{2}{5}r=8[/tex]
She can make 20 bows with 8 yards of ribbon
Step-by-step explanation:
Gloria needs 2/5 yard of ribbons to make each bow.
Length of 1 bow =[tex]\frac{2}{5} yards[/tex]
Let r be the no. of bows made
So, Length of r bows = [tex]\frac{2}{5}r[/tex]
We are given that she can make r bows with 8 yards of ribbon
So, Equation : [tex]\frac{2}{5}r=8[/tex]
[tex]r=\frac{8 \times 5}{2}[/tex]
r=20
Hence She can make 20 bows with 8 yards of ribbon
What is the vertex of f(x)=x+8-3
Answer:
The absolute value vertex is
( − 8 , − 3 ) .
Step-by-step explanation:
Toy train A crosses a pole after every 24seconds. Toy train B crosses the pole after every 30 seconds and toy train C crosses the pole after every 36 seconds. After how many minutes, do they all cross the pole together?
Answer: 6 minutes
Step-by-step explanation:
From the question, Toy train A crosses a pole after every 24seconds while Toy train B crosses the pole after every 30 seconds and then toy train C crosses the pole after every 36 seconds. We are going to solve this by finding their lowest common multiple (LCM).
24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360.
30 = 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 360, 390
36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.
We can see that the lowest common multiple of 24, 30 and 36 is 360.
Since 60 seconds make 1 minute, this will be converted to minutes.
= 360/60
= 6 minutes.
They all cross the pole together after 6 minutes.
Sabra left Seattle, Washington at 9:30 AM and arrived in Las, Vegas, NV at 9:30 PM.
Her trip was 672 miles. What was her average speed?
A. 62 miles per hour
B. 49 miles per hour
C. 56 miles per hour
D. 52 miles per hour
find the total surface area of a right cone with a base diameter of 10cm and a height of 12cm. give your answer in terms of pie.
Answer:
The total surface area is 90π cm²
Step-by-step explanation:
To find the total surface area of his cone, we will follow the steps below;
write the formula for finding the total surface area of a cone
Total surface area = πrl + πr²
where r is the radius and l is the slant height
from the question, diameter = 10 cm, diameter = 2r this implies that r = d/2 = 10/2 = 5 cm
Also from the question given to us, height h = 12 cm, but what we want is slant height l. We can find this by using the Pythagoras theorem to find the slant height using the height giving to us and the radius.
opposite² + adjacent² = hypotenuse²
where radius is the adjacent, height is the opposite and the slant height is the hypotenuse
5² + 12² = l²
25 + 144 = l²
169 = l²
13 = l
l= 13 cm
hence slant height =13 cm
We can now proceed to insert the values into the formula
Total surface area = πrl + πr²
= π×5×13 + π×5²
=65π + 25π
=90π cm²
The total surface area is 90π cm²
Find the equation of the parabola with vertex at the origin, focus at (3m, 0) and directrix with equation x=–3m.
Answer:
The equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Step-by-step explanation:
The equation of the parabola is:
[tex]x = 4\cdot p \cdot y^{2}[/tex]
Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,
[tex]p = 3\cdot m[/tex]
Lastly, the equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Answer: x = (1/12m)(y^2)
Step-by-step explanation:
Focus at (3m, 0)
Directrix equation, x = -3m
Distance from focus = distance from directrix
√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2
(x - 3m)^2 + y^2 = (x + 3m)^2
y^2 = (x + 3m)^2 - (x - 3m)^2
y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2
Collecting like terms and simplifying
y^2 = 6mx + 6mx
y^2 = 12mx
x = (1/12m)(y^2)
jack wants to know how much water a spherical ball can hold with a radius of 8 cm?
Answer: 2144.7 cm^3
Step-by-step explanation: You need to find the volume of a sphere with a radius of 8 cm if you want to know how much water Jack can hold.
V = 4/3 π r^3 = 4/3 * π * 8^3 ≈ 2144.7 cm^3
A coin has heads on one side and tails on the other. The coin is tossed 12 times and lands heads 4 times. Which best describes what happens when the number of trials increases significantly.
Quick question: Is this a multiple choice question and if so, may you provide the multiple choice answers before I give you a proper answer?
An economy package of cups has 250 green cups if the green cups are 10% of the total package, how many cups are in the package?
Answer:
There are a total of 2500 cups
Step-by-step explanation:
10% of the cups are green
you can set up a equation for this
x = total cups
.10x = 250
multiply both sides by 10 to make x a whole number
x = 2500
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
Learn more here: https://brainly.com/question/16459885
Tanya has a garden with a trench around it. The garden is a rectangle with length 212m2 \dfrac12 \text{m} 2 2 1 m 2, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 2 m2 \text{ m} 2 m 2, start text, space, m, end text . The trench and garden together make a rectangle with length 312m3 \dfrac12 \text{m} 3 2 1 m 3, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 3 m3 \text{ m} 3 m 3, start text, space, m, end text . Find the area of just the trench.
Answer:
[tex]9 \dfrac12 m^2[/tex]
Step-by-step explanation:
Tanya has a garden with a trench around it.
Tanya's garden is a rectangle with length [tex]\dfrac12 \text{m}[/tex] and width 2m.
The trench and garden together make a rectangle with length [tex]3 \dfrac12 \text{m}[/tex] and width 3m.
We are to determine the area of just the trench.
Area of just the trench = Area of the trench and garden together-Area of the garden
[tex]=(3 \dfrac12 X 3)-(\dfrac12 X 2)\\\\=( \dfrac72 X 3)-1\\\\=\dfrac{21}{2}-1\\\\=9 \dfrac12 m^2[/tex]
The area of the trench is [tex]9 \dfrac12 m^2[/tex]
Missy uses 1 hexagonal, 3 rectangular, and 6 triangular pieces of fabric to make 1 bug design for a quilt. If she uses 100 pieces in all to make bug designs, how many of each shape does she use?
Answer: Triangular = 600
Rectangular = 300
Hexagonal = 100
Step-by-step explanation:
Given Data:
Shapes of fabric used
Hexagonal = 1
Rectangular = 3
Triangular = 6
Total quantity of fabric = 1000 pcs
Solution
How many pieces of each does she use.
1 + 3 + 6 = 10
Hexagonal = 1/10
Rectangular = 3/10
Triangular = 6/10
Quantity of hexagonal used
= 1/10 * 1000
= 100 pieces
Quantity of rectangular used
= 3/100 * 1000
= 300 pieces
Quantity of triangular used
= 6/10 * 1000
= 600 pieces
Therefore
Triangular = 600
Rectangular = 300
Hexagonal = 100
Please help will mark brainliest!!!
How would you describe the graph of the function at interval 3? Select all that apply.
image below
Answer:
B and E
Step-by-step explanation:
In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!
What is 4.937 rounded to the nearest hundredth?
A) 4.90
B) 4.93
C) 4.94
D) 5.00
Answer:
C
Step-by-step explanation:
Answer:
The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)
plzWegnerkolmp2741o helpme plzzzzzzzzzz
Answer:
y = -2 +sqrt(7)
y = -2 - sqrt(7)
Step-by-step explanation:
y^2 +4y +4 = 7
Factor, recognizing that this is the sum of squares
a^2 +2ab+b^2 = (a+b)^2
(y+2) ^2 = 7
Take the square root of each side
sqrt((y+2) ^2) =± sqrt(7)
y+2 = ± sqrt(7)
Subtract 2 from each side
y+2-2 = -2 ± sqrt(7)
y = -2 ± sqrt(7)
Answer:
C)
Step-by-step explanation:
-2+sqrt(7) ≈ 0.649
-2-sqrt(7) ≈ -4.646
each are x-intercepts
what is the center of the circle shown below
Answer:
B. S
Step-by-step explanation:
Its point S because its in the center of the circle.
Answer: B. S
Step-by-step explanation:
S is the center point of the circle. A and M are both points on the outside of the circle, and segment AS is a radius.
The answer to 7/12 divided by 2
Answer: 7/24
Step-by-step explanation: Think of the 2 as 2/1.
When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.
So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].
Now multiplying across the top and bottom we get 7/24.
Answer:
7/24
Step-by-step explanation:
the guy was right! (also khan said so)
Henrique began to solve a system of linear equations using the linear combination method. His work is shown below:
3(4x – 7y = 28) → 12x – 21y = 84
–2(6x – 5y = 31) → –12x + 10y = –62
12x – 21y = 84
+ –12x + 10y = –62
–11y = 22
y = –2
Complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x.
What is the solution to the system?
Answer:
(3.5, -2)
Step-by-step explanation:
Just got it right on edge 2020
The solution to the system of linear equations is: (3.5, -2).
Solution to the System of Linear EquationsTo find the solution to the system of linear equations, find one of the variables, using the combination method, then substitute the value of one of the variables into one of the original equation to find the other variable.Thus, having solve for y as -2, substitute y = -2 into 12x – 21y = 84.
12x – 21(-2) = 84
12x + 42 = 84
12x = 84 - 42
12x = 42
x = 3.5.
Therefore, the solution to the system of linear equations is: (3.5, -2).
Learn more about the system of linear equations on:
https://brainly.com/question/11867840
Order each set of numbers from LEAST to GREATEST.
-4 , -5/4 , 0 , -5, -1.5
Answer:
-5, -4, -1.5, (-5/4) -1.25, 0
Step-by-step explanation:
The higher the negative the lower the number (least).
~Anna
Need help? Contact me for tutoring!
how do you find the degree of a polynomial function
A polynomial's degree is the highest total exponent in the polynomial.
Example: 5xy^2 has a degree of 3.
x has a exponent of 1 and y had a exponent of 2 so in total it is 3.
Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)
Answer:
-5/2
Step-by-step explanation:
-7-3/10-6 = -10/4 which equals -5/2
all sides of quadrilateral ABCD are tangent to circle p. What is the perimeter of the quadrilateral below?
Answer:
The perimeter of the quadrilateral is that to add all the sides and multiply it by 2 to get the quadrilateral which will be 65.4.
Step-by-step explanation:
Answer:
it equals 41.2 units
Can I drink some nice internet juice
Answer: Um sure you can
3(x + 4) = 3x + 12 solve for x
Answer:
all real numbers.
Step-by-step explanation:
First, distribute 3 to all terms within the parenthesis:
3(x + 4) = 3(x) + 3(4) = 3x + 12
3x + 12 = 3x + 12
Because both sides are the same, your answer for x is "all real numbers".
~
Please help!!!! AWARDING BRAINLIEST!!
Express 0.0057 in scientific notation
Answer:
[tex]5.7 \times {10}^{ - 3} [/tex]
Step-by-step explanation:
0.0057
first number
5
then the rest
7
equal
5.7
There's three zeros behind the number 5 which mean it will be -3
[tex] \times {10}^{ - 3} [/tex]
final answer
[tex]5.7 \times {10}^{ - 3} [/tex]
another example and it will be clear
0.0000403
first number
4
then the rest
03
equal
4.03
There's five zeros behind the number 4 which mean it will be -5
[tex] \times {10}^{ - 5} [/tex]
final answer
[tex]4.03 \times {10}^{ - 5} [/tex]
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Answer:
39 homes
Step-by-step explanation:
The fraction of homes is 13/20
We are checking 60 homes
13/20 * 60 = 39
39 homes
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
A 16-ounce package of cereal costs $4.00. What is the unit cost?
$0.25
1 oz.
4 oz
$1.00
$1.00
4 Oz.
1 oz.
30.25
Answer:
$0.25
Step-by-step explanation:
Unit price is the price for a single unit . It is given price of 16 ounce package of cereal is $4.00. We need to find price of 1 ounce package. 1 ounce package of cereal will cost 4÷16=$0.25
Answer:
oz over .25
Step-by-step explanation: