State whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.
Given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.
In given question,
We have been given a statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.'
We know that a hypotenuse is the largest side of a right triangle.
According to Pythagoras theorem,
in a right triangle c² = a² + b²
where c is the hypotenuse of a right triangle
a, b are perpendicular sides of the right triangle
This means, to find the length of the hypotenuse of a right triangle, take the square root of the sum of the squares of the legs.
Therefore, given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.
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If the labor force of 165 million people is growing by 1.2 percent this year, how many new jobs have to be created each month to keep unemployment from increasing?
0.165 million jobs must be created monthly to keep unemployment from increasing.
What is the labor force?The combined employed and unemployed population makes up the labor force. The labor force as a percentage of the civilian noninstitutional population is the labor force participation rate.The number of employed persons plus the number of jobless people seeking work is known as the labor force. 1 The unemployed who are not looking for work are not included in the labor pool. For instance, stay-at-home mothers, retirees, and students are not employed.An economy's labor force is calculated as the sum of employed and jobless citizens. As a result, the labor force can be calculated using the formula: labor force = employed population + unemployed population.All employees are included in the labor force, including persons looking for work who are unemployed and the companies who pay their workers. A job seeker would not be regarded as an employee even if she were included in the labor force.How many new jobs have to be created each month to keep unemployment from increasing?
The population of the labor force = is 165 million
Percentage increase of labor force in a year = 1.2 % of 165 million
Percentage increase in the labor force in a month 1.2 %/12=0.1 %= of 155 million
Jobs required to be created each month = population increase each month
165 million *0.1/100=0.165 million
0.165 million jobs must be created monthly to keep unemployment from increasing.
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Please please please help ASAP!!!!!
Answer:
19.00, 0.95, 19.95
28.00, 1.40, 29.40
45.00, 2.25, 47.25
Step-by-step explanation:
19.00 × 0.05 = 0.95
1.40 ÷ 0.05 = 28
47.25 ÷ 1.05 = 45
45 × 0.05 = 2.25
Answer/Step-by-step explanation:
Ticket Price ($) | Service Fee ($) | Total Cost with Service Fee ($) |
19.00 | 0.95 | 19.95 |
| | |
----------------------------------------------------------------------------------------------
28.00 | 1.40 | 29.40 |
| | |
-----------------------------------------------------------------------------------------------
45.00 | 2.25 | 47.25 |
| | |
------------------------------------------------------------------------------------------------
I hope this helps!
When designing a simulation where darts are thrown at targets, what assumptions need to be made and why are they needed?
The assumptions need to be made in the dart simulation is that the object lands within the target area, and that it is equally likely that the object will land anywhere in the region. These are needed because in the real world it will not be equally likely to land anywhere in the region.
Dart game:
Basically, the dart game board consists of sisal fibers or boar bristles and cork. An 18 inch diameter board is divided into 20 sections.
Thin metal structures are used to design the dividing lines and with the same materials the numbers are designed.
Sometimes the manufactures opt for printing number formats. The board should be positioned on the wall in such a manner that the bull’s eye should be 5ft 8 inch above the floor.
Given,
Here we need to find When designing a simulation where darts are thrown at targets, what assumptions need to be made and why are they needed.
While looking at the definition of the dart game board,
We know that, we have to do the following,
We assume that the object lands within the target area, and that it is equally likely that the object will land anywhere in the region. These are needed because in the real world it will not be equally likely to land anywhere in the region.
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hewppp just write the answers below...
Answer:
c) 0.67
c) 0.67 d) 2.4
c) 0.67 d) 2.4 e) 0.046
c) 0.67 d) 2.4 e) 0.046f) 0.26
c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537
c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863
c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043
c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043j) 0.2535
c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043j) 0.2535k) 0.074
c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043j) 0.2535k) 0.074 l) 0.4305
Step-by-step explanation:
Method 1: Without a calculator
To divide just move the decimal point to the right to how many zeros there are (for example 10 is one zero so you move the decimal point to the right one time).
Method 2: With a calculator
Type the equation press enter or "=" and you get your answer.
What is 18 divided by (6+3)
Which point is a solution to the following graph:
Answer:
(-6.0))
Step-by-step explanation:
If you start in the middle at (0,0) and go left 6 spaces and the do not go up or down. You will be at (-6,0). This is the only point that is in the shaded in both blue and green.
what fraction pieces when used twice will cover up 4/6 of a circle
T
15
the
2
-2
y
0
(4.3)
2
(4.-2),
**
Which is the equation of the given line?
What is 800 times 10 to the second power?
Answer:
800 times 10 is =800×10
800×10×10
800×100
=80,000
I think this is the answer so try it sorry for the last results
A car sitting at rest begins
accelerating at 2.40 m/s² for
15.0 seconds. How far has the
car gone?
(Units = m)
Answer:
86.4m/s as 2.4^(2)=5.76
5.76x15=86.4
Use the spinner to find the probability. If the spinner lands on a line it is spun again.
P (pointer landing on neither red nor yellow)
The probability of spinner pointer landing on neither red nor yellow=1/3 .
As given,
Total colors in the spinner is equal to 6
Each color is 2 times
Total number of colored region=6
Number of each red and yellow region=2
Probability
=(Total number of favourable outcomes) / (Total number of outcomes )
Probability of pointer landing on red or yellow is
P(R or Y)=2/6 +2/6
⇒P(R or Y) =2/3
Probability of pointer landing on neither red nor yellow
P( R or Y)' =1-P(R or Y)
=1-(2/3)
=1/3
Therefore, the probability of spinner pointer landing on neither red nor yellow =1/3.
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on february 26 berkshire hathaway closed at 185,690 per share. one year earlier one share closed at 215,970. what was an approximate one year percent change?
One year percent change is 14 percent.
What is percentage?A portion of a whole expressed in hundredths the number of students present was high. B: The outcome of dividing a number by a percentage is that the percentage equals the rate divided by the base. A portion of victories or profits (2a).
Given that,
Berkshire Hathaway closed at 185,690 per share on February 26.
One share's closing price from one year ago was 215,970.
So,the percentage of one year is 215970 × 185690/185690 × 100
So, the percent of one year is 14 percent.
Therefore, One year percent change is 14 percent.
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what is 7sec to run350 centimeter
Answer:
72838383(8$($)*!*!)*?#!_;+ndbdjdjsk
1 A map has a scale factor of 1 : 24 000
The distance between two towns is 3.6 km.
How far will this be on the map?
The two towns will be 15 centimeters apart on the map.
Here, we are given that a map has a scale factor of 1:24 000.
This means that if the distance between two points on the map is say 1 meter then in reality, these two points will be 24,000 meters apart.
Now, we are given that two towns are 3.6 kilometers apart
That is in reality, they are 3.6 km away
Let them be x kilometers away on the map
The ratio of the distances on map and in real life must be equal to 1/24,000
⇒ x/3.6 = 1/24,000
x = 3.6/24,000
x = 0.00015 kilometers
or x = 15 centimeters
Thus, the two towns will be 15 centimeters apart on the map.
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I need help please solving …
It takes the object about 26/49 minutes to travel 5 1/5 miles.
How long would it take the object to travel 5 1/5 miles?A mixed fraction is a non-integer that consists of a whole number and a proper fraction. An example of a mixed fraction is 1 1/2.
Speed measures how fast an object is moving with respect to time. Speed is the total distance travelled per time.
Speed = total distance / total time
In order to determine the total time it would take the object to travel the distance, divide the distance travelled by the speed.
Time = distance / speed
5 1/5 ÷ 9 4/5
26/5 ÷ 49 / 5
26/5 x 5/49 = 26 / 49 minutes
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Choose the letter of the word or phrase that best completes each statement.
a. ratio
b. proportion
c. means
d. extremes
e. similar
f. scale factor
g. AA Similarity Post.
h. SSS Similarity Theorem
i. SAS Similarity Theorem
j. midsegment
k. dilation
I. enlargement
m. reduction
If a/b=c/d'' then a and d are the ____?_____
If a/b = c/d then a and d are the extremes.
Ratio is defined as the comparison of two quantities. The ratio between quantities a and b can be expressed as a : b or a/b.
example:
There are 3 girls for every 5 boys in a class. Then, the ratio of girls to boys is 3 : 5 or 3/5.
On the other hand, proportion is defined as the equality between two or more ratios.
a : b = c : d
Two ratios are equivalent if their cross-products are equal. Cross products are the products of the extremes and means. The 1st and and 4th terms of a proportion is called the extremes, while the 2nd and 3rd is the means of a proportion.
If a : b = c : d, then ad = bc.
where a and d are the extremes
b and c are the means
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how many fixed points are there for f(x)=x^3
Find x and the measure of each side.
Δ M N P is isosceles with MN ≅ NP. MN is two less than five times x, N P is seven more than two times x , and P M is two more than three times x .
The value of x is 3 and the measure of each side of isosceles ΔMNP is:
MN = 13
NP = 13
PM = 11
We know that, in an isosceles triangle, any two sides of the triangle are equal and the angle opposite to these sides are equal in measure.
In this question, we have been given an isosceles ΔMNP with MN ≅ NP .
Also we have been given some statements about the sides of isosceles ΔMNP.
MN is two less than five times x.
We write above statement as mathematical expression.
MN = 5x - 2
NP is seven more than two times x.
We write above statement as mathematical expression.
NP = 7 + 2x
And PM is two more than three times x.
We write above statement as mathematical expression.
PM = 2 + 3x
As MN = NP
⇒ 5x - 2 = 7 + 2x
⇒ 5x - 2x = 7 + 2
⇒ 3x = 9
⇒ x = 3
So, the value of x is 3.
Now we find the measure of each side of triangle JKL
MN = 5x - 2
MN = 5(3) - 2
MN = 15 - 2
MN = 13
Now the side NP
NP = 7 + 2x
NP = 7 + 2(3)
NP = 13
And side PM would be,
PM = 2 + 3x
PM = 2 + 3(3)
PM = 11
Therefore, the value of x is 3 and the measure of each side of isosceles ΔMNP is:
MN = 13
NP = 13
PM = 11
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Help ASAP PLS 10 Points
Use the figure below to answer questions #1-4. You can also use DESMOS to help you answer this question.
What are the coordinates of the original point, G?
At a banquet, 6 people sit at each of 8 tables. The server receives $96 in tips. How much did the server receive per person?100 points if u hurry up and give me the answer
Answer:
$2 per person
Step-by-step explanation:
6*8=48
96/48=$2
Answer:
$2Step-by-step explanation:
6 x 8 = 48
96 / 48 = 2
Use the values of a₁ and Sn to find the value of a n a₁=4 and S₄₀=6080 ; a₄₀
Using the values of the first term and the sum of the first 40 terms of the given series, a(40) = 300
Suppose we are given a series:
a(1) + a(2) + a(3) + ....+ a(n)
Then, the sum of the first n terms is given by:
S(n) = n/2 [a(1) + a(n)]
Parameters given in the problem:
a(1) = 4
S(40) = 6080
To find a(40), substitute n = 40, a(1) = 4, and S(40) = 6080 into the formula:
S(n) = n/2 [a(1) + a(n)]
S(40) = 40/2 [4 + a(40)]
6080 = 20 . [4 + a(40)]
Divide both sides by 20
304 = 4 + a(40)
Subtract 4 from both sides:
304 - 4 = 4 + a(40) - 4
a(40) = 300
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A recipe for 4 cups of trail mix calls for 2/3 cups of raisins. Anaya has 1 1/2 cups of raisins.
Does Anaya have enough to make 14 cups of the trail mix? If not,How many more raisins does Anaya need
The raisins that Anaya needs more will be 5/6 cups.
How to illustrate the information?It should be noted that from the information, recipe for 4 cups of trail mix calls for 2/3 cups of raisins. Anaya has 1 1/2 cups of raisins.
The amount that's needed for 14 cups will be:
= 14/4 × 2/3
= 2 1/3
It's not enough
The amount needed will be:
= 2 1/3 - 1 1/2
= 2 2/6 - 1 3/6
= 5/6
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A= 7x^2-3x+10 B=-4x^2+6x-4
A-B=
Hello,
A - B = 7x² - 3x + 10 - (-4x² + 6x - 4)
A - B = 7x² -3x + 10 + 4x² -6x + 4
A - B = 11x² - 9x + 14
What is the length of the hypotenuse?
5 cm 3cm
A 4 cm
C 34 cm
3 cm
B 2√2 cm
D
√34 cm
State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
The slant height is the height of each lateral face of a pyramid or cone.
The given statement is completely true.
This is because the definition of slant height is the altitude of the lateral face of a pyramid or cone which is true.
There are three dimensions of a cone.
The vertical height (or altitude) is the perpendicular distance from the top down to the base.
The radius of the circular base slant height is the distance from the top, down the side, to a point on the base circumference.
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30% squares units percent of increase 70%
133.3333333333% (increase) is percent of increase 70%.
What is the percentage formula?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin phrase made its way into English. Later, it was shortened to percent and ended with a period.Use the formula percent change
Percent change = [tex]\frac{New - old}{old} * 100[/tex]
= 70- 30/30 * 100
= 40/30 * 100
= 133.3333333333% (increase)
Where: 30 is the old value and 70 is the new value.
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If p( a,2a) Q(4,3) and distance between them is 10 units find the coordinates of p
The distance between the coordinates is 2+√19.
According to the question, the given problem can be solved by using the standard distance formula.
Now, the coordinate values are:
p(a, 2a); q(4, 3) and Distance = 10 units
Therefore, from the given parameters we can write:
x1 = a; y1 = 2a; x2 = 4; y2 = 3
Now,
Distance^2 = (x1 - x2)^2 + (y1 - y2)^2
Substituting the given values, we get:
Distance^2 = (4 - a)^2 + (3 - 2a)^2 = 16 +a^2 - 8a + 9 +4a^2 - 12a
100 = 25 + 5a^2 - 20a
5a^2 - 20a - 75 = 0
a^2 - 4a - 15 = 0
a = 2+√19
Hence, the distance between the coordinates is 2+√19.
What is distance?
Distance can be defined as the resultant displacement between the two endpoints. It can measured in different units like meters, centimeters, kilometers, etc. And the respective values can be calculated by using the standard formula.
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A room measures 6m by 8m to the nearest metre. A carpet tile measures 50cm exactly. What is the maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room?
The maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room is 221.
Upper bounds = 8.5m and 6.5m
Maximum = 8.5[tex]\times[/tex]6.5 = 55.25[tex]m^2[/tex]
55.25[tex]m^2[/tex] = 552500c[tex]m^2[/tex]
50[tex]\times[/tex]50 = 2500c[tex]m^2[/tex]
552500/2500 = 221
The maximum amount of carpet tiles = 221
A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter. A rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°. Examine the rectangle below to determine its form, sides, and angles.
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Mo runs at a constant speed of 6 miles per hour.
Decide whether each statement is true or false.
a) In 25 minutes, Mo runs 1.5 miles.
b) In half an hour, Mo runs 3 miles.
c) In 45 minutes, Mo runs 2.7 miles.
d) In 1.25 hours, Mo runs 7.5 miles.
e) In 20 minutes, Mo runs 2 miles.
f) In 70 minutes, Mo runs 7 miles.
Discuss your reasoning with a partner.
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
Hope this helped
and what the other person said
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