Answer:
5.5 cm/minute
Step-by-step explanation:
Given that,
The yellow turtle country covered 33 cm in six minutes.
To find unit rate, divide distance covered by the time.
Here, distance = 33 cm
Time, t = 6 minutes
[tex]R=\dfrac{33\ \text{cm}}{6\ \text{minutes}}\\\\=5.5\ \text{cm/minutes}[/tex]
Hence, the unit rate is 5.5 cm/minute. It means, Courtney covered 5.5 cm in one minute.
Are the triangles congruent? and why?
Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
In costal regions, some animals live above sea level and other animals live in the ocean. A sea star can be found at an ocean depth of two feet. How can you represent an ocean depth of two feet? 1.What do you know 2.What do you need to find 3.What is the answer
Answer:
- 2 feets
Step-by-step explanation:
Given that sea star can be found at an ocean depth of 2 feets ;
An ocean depth of 2 feets can be represented as :
Sea level - depth = 0 - 2 = - 2 feets
Hence, it can be concluded that sea star lives in the ocean
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
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Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
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Answer:
15.13cm
Step-by-step explanation:
From that above question:
We are told that:
Lateral surface area of a right circular cone : πr√r² + h²
We are give the following parameters:
Lateral surface area = 236.64cm²
Radius = 4.75cm
We are to find the height
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)²- π ×4.75²]/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
Please help..
Give a example of force applied to an object that dies not change the objects's velocity.
Answer:
friction
Step-by-step explanation:
Consider an object that's not moving, like a chair at rest on the floor. There are two forces acting on it:
• its own weight, pulling it downward
• the normal force, i.e. the floor pushing upward on the chair.
Both of these forces are non-vanishing, but the net force is 0, so the chair remains at rest and its velocity stays at 0.
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle
Answer:
D.) obtuse scalene triangle
Step-by-step explanation:
acute triangle: 3 acute angles
right triangle: 1 right angle, 2 acute angles
obtuse triangle: 1 obtuse angle, 2 acute angles
scalene triangle: no congruent sides
isosceles triangle: 2 congruent sides
equilateral triangle: 3 congruent sides
The question is:
"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"
That means scalene and obtuse.
Answer: D.) obtuse scalene triangle
The triangle is an obtuse scalene triangle, the correct option is D.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,
When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.
When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.
When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.
When the measure of all side is different, it is a scalene triangle.
When the two side of a triangle is equal, it is an isosceles triangle.
When all the sides of a triangle is equal, it is an equilateral triangle.
The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.
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Givens: <-->AD is the perpendicular bisector of segment BC AB = 7x+1 AC = 8x-6 BC = 3x + 9 Find: BD
Answer:
wheres the pic
Step-by-step explanation:
what is the circumference
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]
[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]
Hence, Circumference = 69.43 cm
Lin drove her car at a constant speed 164 miles in 4 hours. Manuel rode his motorcycle 140 miles in 3.5 hours. Who rode faster? By how much?
Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)
And he was faster by 30 minutes...
This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a1 = 2 and r = 3
a5 = [ ?]
The fifth term is 162 in the geometric sequence.
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
What is arithmetic sequence?A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
Given data :
First term of sequence geometric (a₁) = 2
The common ratio of geometric (r) = 3
To determine the fifth term of geometric sequence
Let the fifth term of sequence = a₅
The nth term of a geometric sequence is expressed as :
Tₙ = a₁rⁿ⁻¹
Substitute the values of n = 5, a₁ =2 and r = 3 in the formula,
T₅ = (2)(3)⁵⁻¹
T₅ = (2)(3)⁴
T₅ = (2)(81)
T₅ = 162
Hence, the fifth term is 162 in the geometric sequence
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Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue
Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket
Step-by-step explanation:
Let x be the price of an adult ticket.
Then 0.5x is the price of a child ticket.
We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.
Hence the price of an adult ticket is £38.
Answer:
Step-by-step explanation:
2a+4c=152
2c=a
4c+2a=152
2c-a=0
Use simultaneous equation
Substitute 2c=a
c=a divided by 2 in the first equation and find value of a and c
Problem 11-15 Using CAPM A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
the risk free rate of return is 4.86%
Step-by-step explanation:
The computation of the risk free rate is shown below;
As we know that
Expected return = Risk free rate of return + Beta × (Market rate of return - risk free rate of return)
10.5% = Risk free rate of return + 1.55 × (8.5% - Risk free rate of return)
10.5% = Risk free rate of return + 13.175% - 1.55 Risk free rate of return
10.5% - 13.175% = -0.55 risk free rate of return
-2.675% = -0.55 risk free rate of return
So, the risk free rate of return is
= 2.675% ÷ 0.55
= 4.86%
Hence, the risk free rate of return is 4.86%
Two binomials were multiplied together and the result is represented by the 1 point
algebra tiles shown. What are the two original binomials?
Answer:
What are the answers?
Step-by-step explanation:
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
a school population of 1200 increases by 6% per year what will the population be after 4 years
Answer:
Step-by-step explanation:
1200x6%(.06)=72
72x4=288
1200+288=1488
1200+72=1272+72=1344+72=1416+72=1488
write an equation in slope-intercept form if the slope is 1.5 and y-intercept is (0,3)
Step-by-step explanation:
The equation of the line is y = 1.5x + 3.
Write the equation in standard
form of the line that has
x-intercept 6 and y-intercept -2.
Answer:
x - 3y = 6
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{a}+\frac{y}{b}=1[/tex]
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
[tex]\displaystyle \frac{x}{6}+\frac{y}{-2}=1[/tex]
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
The graph of a linear relationship passes
through (0, 2), (1,5), and (3, 11) but not
through (2, 7). Which of the following is
the equation for this linear relationship?
A y= 2x + 3 Cy=5x
B y = 3x + 2
Dy= 4x - 1
Answer:
The equation of the linear relationship is y = 3x + 2 ⇒ B
Step-by-step explanation:
To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation
A.
∵ y = 2x + 3
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 2(0) + 3
∴ y = 0 + 3 = 3
∵ The y-coordinate is 2
∴ The point (0, 2) does not lie on the graph of the relationship
∴ The equation y = 2x + 3 doesn't represent the equation of the relationship
B.
∵ y = 3x + 2
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 3(0) + 2
∴ y = 0 + 2 = 2
∵ The y-coordinate is 2
∴ The point (0, 2) lies on the graph of the relationship
→ Use the second point (1, 5)
∵ x = 1
→ Substitute x by 1 in the equation
∴ y = 3(1) + 2
∴ y = 3 + 2 = 5
∵ The y-coordinate is 5
∴ The point (1, 5) lies on the graph of the relationship
→ Use the third point (3, 11)
∵ x = 3
→ Substitute x by 3 in the equation
∴ y = 3(3) + 2
∴ y = 9 + 2 = 11
∵ The y-coordinate is 11
∴ The point (3, 11) lies on the graph of the relationship
→ Use the fourth point (2, 7)
∵ x = 2
→ Substitute x by 2 in the equation
∴ y = 3(2) + 2
∴ y = 6 + 2 = 8
∵ The y-coordinate is 7
∴ The point (2, 7) doesn't lie on the graph of the relationship
∴ The equation of the linear relationship is y = 3x + 2
Students rent buses and vans for a trip to Disneyland. There were 12 buses and 8 vans and 360 students. A) write an equation to show the relationship described above. B) if there are 12 students on every van, how many kids are on each bus?
Fill in the missing numbers:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.
Answer:
20 2 3 6 10 998778889899999
Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?
Answer:
54.23
Step-by-step explanation:
If that not a choice simpfly
I got this question wrong. My teacher said something about altitude, but I have not a clue how to do it
Answer:
cone shape and cm 3
area of shape
Step-by-step explanation:
3 cm ×8 cm
24
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Susan can swim 105 meters in 70 seconds. At this rate, how far can she swim in 30 seconds?
Answer:
45 meters per 30 seconds
Step-by-step explanation:
To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.
105 divided by 70 = 1.5
So Susan can swim 1.5 meters per second.
Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.
1.5 x 30 = 45 meters
So, in conclusion, Susan can swim 45 meters per 30 seconds
answer with work please
Answer: 1. 4
2. 12
3. 6
4. 8
Step-by-step explanation:
Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
9x + 22y ≥ 220
x + y ≤ 16
Step-by-step explanation:
First x is number of hours washing cars and y is number of hours tutoring.
He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.
That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.
He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.
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The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.
What is equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.
Given:
Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,
Total working hour = 16
Total money to be earned = $220
Write the equation of the above statement as shown below,
x + y = 16
9x + 22y = 220
Solve the above equation using a graph,
y = 5.85 and x = 16 - 5.85 = 10.2
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Bobby hit the wrong lever and as a result the factory produced way too many cheese puffs. If the factory managers decide to to give away 1/3 of 1/9 of a ton away as samples, what fraction of a ton did they give away? Make sure you answer is fully reduced.
Given:
The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples.
To find:
what fraction of a ton did they give away?
Solution:
According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,
[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]
[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]
So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.
Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.
What is the completely factored form of this polynomial? 4x4+12x2+9