Step-by-step explanation:
120÷24
0 24⟌120
0 24⟌120 0
0 24⟌120 -0 1
00 24⟌120 -0 12
0 24⟌120 -0 12
00 24⟌120 -0 12 - 0 12
00 24⟌120 -0 12 - 0 120
A circle with a circumference of 6 has an arc with 20 central angle
Answer: 0.3 units
Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.
EXPAND AND SIMPLIFY
2(5x + 3) - 2(2x-3)
Hey there!
2(5x + 3) - 2(2x-3)
DISTRIBUTE
= 2(5x) + 2(3) - 2(2x) - 2(-3)
= 10x + 6 - 4x + 6
COMBINE the LIKE TERMS
= 6x + 12
Therefore, your answer should be:
6x + 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.
A rectangular rug divided by its diagonal becomes a right angle triangle
The length and width of the rug is 14.1 feet by 11.1 feet
A right angle triangle has the longest side as the hypotenus which is also the diagonal.Diagonal = 18 feet
width = x
length = x + 3
diagonal ² = length ² + width ²
18² = x² + (x + 3)²
18² = x² + x² + 6x + 9
324 = 2x² + 6x + 9
2x² + 6x + 9 - 324 = 0
2x² + 6x - 315 = 0
solve using quadratic formula
x = - b ± √b² - 4ac / 2a
= - 6 ± √6² - 4×2×-315 / 2×2
= -6 ± √36 - (-2520) / 4
= -6 ± √36 + 2520/4
= -6 ± √2556 / 4
= - 6 ± 6√71 / 4
= -6/4 ± 6√71 / 4
= -3/2 ± 3√71/2
x = 11.1392 or -14.1392
The value of x can't be negative
So,
x = 11.1 to the nearest tenth
Therefore, the value of width and length is
width = x
= 11.1 feet
length = x + 3
= 11.1 + 3
= 14.1 feet
Learn more about Pythagoras theorem:
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The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?
Answer:
25%
Step-by-step explanation:
15 times 6 is 90
90 is 25 % of 360
Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4
Answer:
A, B, D are correct
Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
Incorrect, 12 x 3 = 36, not 32
D. 32 divided by 8 = 4
Works, it is correct
-Chetan K
Name
Lily Daku November 17, 2021 pec
Common Core Standards Practi
Selected Response
co
1. Find the slope of the line that
passes through the points (-1,9)
and (3, 17).
in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]
[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]
Take LCM
[tex]\mathbf{E(x) = \frac{5}6}[/tex]
[tex]\mathbf{E(x) = 0.83}[/tex]
The number of games is 100.
So, the expected gain is:
[tex]\mathbf{Gain = 100 \times 0.83}[/tex]
[tex]\mathbf{Gain = 83}[/tex]
Hence, the expected total gain is 83 points
Read more about expected value at:
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which is a proportional relationship
y=x+1
y=3x+3
y=4x
y=8+x
Answer:
4=4x
Step-by-step explanation:
the formula y=mx+b
corresponds to y=slope+y intercept
all proportional relationships start on the origin so the y-intercept is always 0
the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x
Madelyn is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 39.75 meters. She stands 34.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The relationship between her height and the tree's is an illustration of ratios and proportions
The height of the tree is approximately 2.11 meters
Her height is represented as:
[tex]\mathbf{h =1.85}[/tex]
At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:
[tex]\mathbf{D =39.75}[/tex]
[tex]\mathbf{d =34.9}[/tex]
To calculate the height (H) of the tree, we make use of the following equivalent ratios
[tex]\mathbf{H : h =D : d}[/tex]
So, we have:
[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]
Express ratio as fraction
[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]
Multiply both sides by 1.85
[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]
[tex]\mathbf{H=2.11}[/tex]
Hence, the height of the tree is approximately 2.11 meters
Read more about ratios and proportions at:
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Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?
a-Carrie and Maria
b-Maria and Nayla
c-Carrie and Nayla
d-All three live equal distances from each other.
The two friends have the shortest distance between them are Carrie and Nayla.
In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.
The first step is to determine the value of x:
20x + 7) + (5x + 50) + (5x + 3) = 180
Add similar terms togethers
30x + 60 = 180
Combine similar terms
30x = 180 - 60
30x = 120
x = 120 / 30
x = 4
The second step is to determine the value of each angle
Nayla = 20(4) + 7 = 87
Carrie = Second angle = 5(4) + 50 = 70
Maria = Third angle = 180 - (70 + 87) = 23
Nayla and Carrie live closest to each other
Please find attached the image required to answer this question. TO learn more, please check: https://brainly.com/question/2390433
The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.
please help and show working
Answer:
A ≈ 5.8 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 4.6 and h = 2.5 , then
A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )
Answer:
Step-by-step explanation:
Pls help me with this question
Answer:
were is the qn?
Step-by-step explanation:
What is the slope of the line that passes through (0, 7) and (3, 10)?
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )
m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2
Answer:
C. X-4
Step-by-step explanation:
x^2+x-20
=(x-4)(x+5)
Answer:
C.
Step-by-step explanation:
Sorry I Can't explain because I'm busy right now
Which answer is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6.
Answer: the answer is
y-4=6*(x-7)
Step-by-step explanation:
A student is making a model of the famous Giza pyramid,
which has four triangular sides and a square base. The
scale of the model is 1:1,000.
How many sides should the model pyramid have?
A. 6
B. 4.
C. 3
D. 12
Answer:
Choose the option D
The table shows the number of pages a student reads and how many
minutes it takes the student to read those pages.
Number of Pages Read
Number of Number of
Pages Minutes
9.0
6
13.5
8
18.0
4
Which statement best describes the relationship in the table?
Answer:
the unit rate is 2.25
Step-by-step explanation:
4×2.25=9.0
6×2.25=13.5
8×2.25=18.0
(ASAP) i need help plsssssszzz
Answer:
the first one is right....
The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
The number of trees and the number of apples are given in the table above. Determine which statement below is correct.
1. The table is proportional and the unit rate is 1/13
2. The table is proportional and the unit rate is 13.
3. The table is not proportional.
Answer:
2.
Step-by-step explanation:
The number of trees times 13
PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.
Answer: y=10x
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is y=1x+2
A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above
Answer:
118.72
Step-by-step explanation:
I just used my calculator 0-0 hope this helped :)
On what interval is the function increasing.
28% of what number is 21.
Answer:
i think it´s 75..
Step-by-step explanation:
I need help this goes towards my grade so please be correct
Answer:
0 us the answer for this question
How to solve the Expected value
Answer:
The expected value is 50 degrees.
Step-by-step explanation:
This circle has a perfect section of 50 degrees marked, then another unknown sector, and since they are marked with a congruent marker, that means they are the same! The unknown sector is 50 degrees in length.
PLEASE ANSWER QUICK
What is the domain of f?
Answer:
-7 ≤ x ≤ 7
General Formulas and Concepts:
Algebra I
Coordinate Planes
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:
[-7, 7] or -7 ≤ x ≤ 7
Answer:
A -7<=x<=7
Step-by-step explanation:
Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A
Find the perimeter. Simplify your answer.
7y+10+7y+10+y-4
14y+20+y-4
15y+20-4
15y+16
answer= 15y+16
Answer:
7y+10+7y+10+y-4=
(7y+7y+y)+(10+10-4)=
15y+16=
help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!
Answer:
X = 35/8
Y = -5
HELP PLZZ!!!!!
Find x.
Answer:
6.1
Step-by-step explanation:
So you would use tan as u are looking for the opposite and already have the adjacent.
tan(22) x 15 = 6.06 or 6.1
Answer:
x = 6.06
Step-by-step explanation:
tan (22°) = x/15
0.404 = x/15
x = 6.06