relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. Last, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line?
Answers
A^2+B^2=C^2 (subtract B^2 from both sides)
A^2=C^2-B^2 (now take the square root of both sides)
A=[tex] \sqrt{C^2-B^2} [/tex]
Add in your numbers now and you get
A=[tex] \sqrt{20^2-12^2} [/tex]
A= 16 yards
The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given right angle triangle,
Suppose the missing length is x.
By Pythagoras' theorem,
x = √(20² - 12²)
x = √(400 - 144) = √256 = 16
Hence "The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards".
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Related Questions
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. If the length of the kitchen is 4 1/2 centimeters on the scale drawing, what is the actual length in feet of the kitchen
Answers
For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.
In our case we are already given the value of the single unit which is 1 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:
Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet
Four days before the 1997 500 Festival Parade, a fire destroyed 10 of the 14 floats. People wanted to know if the parade would be canceled. During the first two days after the fire, the Festival received an average of 22 incoming calls a minute. How many calls did the Festival receive in an hour? How many calls did the receive in 12 hours?
**The parade went off as planned four days later. More than 250,000 people lined the streets to view huge posters and replicas of the floats.
Answers
incorrect, 4.3.37
In how many ways can a committee of four
men and three
women be formed from a group of ten
men and six
women?
Answers
[tex]C_{10}^4\times C_6^3\\\text{wherein }C_n^k=\dfrac{n!}{k!(n-k)!}.\text{ Using the formula we get:}\\C_{10}^4\times C_6^3=\dfrac{10!}{4!(10-4)!}\dfrac{6!}{3!(6-3)!}\\=4200[/tex]
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.
The scatter plot shows the relationship between the weekly hours spent on social media and the weekly hours spent reading, by the students of a middle school:
What is the y-intercept of the line of best fit and what does it represent?
6 hours; the number of hours students read when they do not spend time on social media
6 hours; the number of hours students spend time on social media when they do not read
8 hours; the number of hours students read when they do not spend time on social media
8 hours; the number of hours students spend time on social media when they do not read
Answers
Answer:
The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.
Step-by-step explanation:
The y intercept is marked as hours spent on social media.
So, the answer is :
8 hours; the number of hours students spend on social media when they do not read.
a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?
Answers
In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.
1 tsp = 0.5 fl oz
4 tsp = 2 fl oz
Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.
stacy has hired tom to build her a doll house. The doll house will be a scale model of her home, and the scale will be 2 inches:3ft. The living room in stacy's house is 18 feet by 12 feet and has wall-to-wall carpeting. Hiw many square inches of carpeting will Tom need for thevliving room in Stacy's doll house?
Answers
To find the area of the living room in Stacy's doll house, we need to use the given scale of 2 inches:3ft.
Explanation:To find the area of the living room in Stacy's doll house, we need to use the given scale of 2 inches:3ft. First, we convert the dimensions of the living room from feet to inches. The dimensions of the living room in inches will be 18 feet * 12 inches/foot = 216 inches by 12 feet * 12 inches/foot = 144 inches.
Next, we multiply the dimensions by the scale factor of 2 inches:3ft. The dimensions of the living room in the doll house will be 216 inches * (2 inches/3ft) = 144 inches and 144 inches * (2 inches/3ft) = 96 inches.
Finally, we multiply the dimensions together to find the area: 144 inches * 96 inches = 13,824 square inches.
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a train traveled 1/5 of the distance between two cities in 3/4 hour. at this rate, how many hours will it take the train to travel the entire distance between these two cities
Answers
Yolanda participated In a walkathon in which each kilometer walked raised $10 for charity, her goal was to raise more more than $300 on Saturday and Sunday she raised $50 on Saturday which inequality is it?
Answers
50+x(greater or equal to)300
Answer: The required inequality will be 50+x>$300
Step-by-step explanation:
Since we have given that
Amount raised for charity = $10
Amount raised on Saturday = $50
Amount raised on both Saturday and Sunday is more than $300.
Let the amount raised on Sunday be 'x'.
So, Inequality becomes,
Saturday + Sunday > $300
50+x>$300
x>$300-$50
x>$250
So, On Sunday he must raised more than $250.
Hence, the required inequality will be
50+x>$300
Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, making the ratio of avocado trees to apple trees be to .
Answers
Hope this helped☺☺
(I think this is the answer)
Answer:
3 to 10 OR 3:10
Step-by-step explanation:
solve for x: A=2xy what is the answer
Answers
thats the only answer based on information you given
sarita use 54 ounces of apples to make an apple pie how many pounds and ounces of apples did sarita use
Answers
so Sarita used 3 pounds and 8 oz.
Here is your answer:
The proper answer to this question is "3".
Here is how:
54 ounces= 3.375 pounds (rounded to 3)
1 pound=16 ounces
Your answer is 3.
If you need anymore help feel free to ask me!
Hope this helps!
clothing store buys coats for $50 and then sells them for $80. what is the percent of increase om the price of the coat?
Answers
(new # - original #) ÷ original # x 100
= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%
ANSWER: There is a 60% increase on the price of the coat.
Hope this helps! :)
60% is the percent of increase om the price of the coat.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The clothes are brought for $50
The selling price is $80
% Change Formula=(Selling price / cost price ) ÷ cost price# x 100
= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%
The cost of the coat has increased by 60%.
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Which module is not a function?
Answers
I'll give brainliest if you show your work. Plz hurry.
Which statements are true? Check all that apply.
A square root of 1.8<1.8 (This 1.8 is not Square root)
A square root of 1.8>1 (This 1 is not a Square root)
A square root of 1.8< 1.9 (This 1.9 IS IS IS a square root)
1.3
A square root of 1.9+ the square root of 1.8>2
A square root of 1.9- the square root of 1.8>0.1
Answers
Answer:
Step-by-step explanation:
Given are some statements and we have to check which are true
I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]
2) True since [tex]\sqrt{1.8} =1.341>1[/tex]
3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]
4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]
5) False since
[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]
Answer:
1234
Step-by-step explanation:
Me and my mate Dave order pizzas.I eat six eights of mine, Dave only manages two sevenths of his. If we put the remains together,can we make one whole pizza?
Answers
What series of transformations to quadrilateral ABCD map the quadrilateral onto quadrilateral EFGH to prove that ABCD≅EFGH ?
a reflection across x-axis, and then a translation 4 units left
a reflection across x-axis, and then a translation 4 units right
a reflection across y-axis, and then a translation 4 units right
a reflection across y-axis, and then a translation 4 units left
Answers
Comparing the points to their mapped images compares A to E, B to F, C to G, and D to H. In each point, the y-coordinate switches signs and the x-coordinate is subtracted by 4.
Reflections across the x-axis will switch the sign of the y-coordinate, and reflections across the y-axis will switch the sign of the x-coordinate. Since the y-coordinates are the ones whose sign changed, the points must have been reflected across the x-axis.
Translations to the left will cause the x-coordinate to increase, and translations to the right will case the x-coordinate to decrease. Since the x-coordinate of every point was subtracted, this means that the translation must have been to the right.
The correct series of transformations is a reflection across the x-axis, and then a translation 4 units left.
Let's start by labeling the vertices of quadrilateral ABCD as follows:
A(2, 4)
B(4, 5)
C(5, 4)
D(4, 1)
If we reflect quadrilateral ABCD across the x-axis, the new coordinates of the vertices will be:
A'(2, -4)
B'(4, -5)
C'(5, -4)
D'(4, -1)
Now, if we translate quadrilateral A'B'C'D' 4 units left, the new coordinates of the vertices will be:
E(-2, -4)
F(0, -5)
G(1, -4)
H(0, -1)
These are the coordinates of the vertices of quadrilateral EFGH.
Therefore, it can prove that for the transformation to quadrilaterals ABCD≅EFGH by reflecting quadrilateral ABCD across the x-axis and then translating it 4 units left.
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Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
Five of Janine's friends are selected and asked for whom they intend to vote.
Answers
The polling methods likely to be biased are when Option d. Five of Janine's friends are selected and asked for whom they intend to vote.
When conducting a poll, it is important to ensure the sampling method is random and representative. Here are the methods and their potential biases:
Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote. — This method is likely to be biased because it relies on the initial selection of supporters, which creates a non-random and unrepresentative sample.Every 10th club member from a list of all members is selected and asked for whom the member intends to vote. — This method is less likely to be biased as it uses systematic sampling, which is more representative of the entire population.From a list of all club members, 25 members are selected at random and asked for whom they intend to vote. — This method is unlikely to be biased because it employs a simple random sample, ensuring each member has an equal chance of being selected.Five of Janine's friends are selected and asked for whom they intend to vote. — This method is likely to be biased due to the convenience sampling of her friends, which is not representative of the entire club.Hence option D is likely to be biased.
Complete question:
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
a. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
b. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
c. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
d. Five of Janine's friends are selected and asked for whom they intend to vote.
graph the quadratic function f(x)=(x−4)(x+2).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
GRAPH FOR BRAINLIEST
Answers
vertex (1,-9)
Answer:
(1,-9) and (0,-8)
Step-by-step explanation:
Please explain I don’t know how to do this♀️
Answers
r = 1.2, h = 2.9
[tex]V_{Cone} = \frac{1}{3} * \pi *(1.2)^2*2.9 \\ V_{Cone} = \frac{1}{3} * \pi *4.176 \\ V_{Cone} = 4.37 in^3[/tex]
22. If triangle DEC equals about triangle BEC, which is true by CPCTC?
A. Angle EBC equals about angle EDC
B. Line AE equals about line EC
**C. Angle A equals about angle C
D. Line AE equals about line ED
I choose C but I’m Lost
Answers
Answer with explanation:
→Triangle DEC equals about Triangle B EC.
⇒The meaning of equal here,is that both the triangles that is, ΔDEC ≅ ΔB EC.
≡When Triangles are congruent,their corresponding sides and angles are equal .
Corresponding Sides which are equal by C P C TC:
1. BE = DE
2.BC =CD
3.EC, is Common.
Corresponding angles which are equal by C P C TC are:
1. ∠B EC=∠DEC
2. ∠ D CE=∠B CE
3.∠ E B C= ∠ E D C
Option A: ⇒Angle E BC equals about angle E DC
Shayla has 5 pets which is 3 more than half the number of pets Judy has. how many pets does Judy have
Answers
5+3=8
And If you cut that in half (8-4) it would be 4 :)
I'll give brainliest if you show your work. Plz answer quickly.
Which two numbers does Square root of 52 lie between on a number line?
7.0 and 7.1
7.1 and 7.2
7.2 and 7.3
7.3 and 7.4
Answers
That lies between 7.2 and 7.3
Hope this helped!
can someone please help me i don’t know this and i’m really stuck so please
Answers
.. 141 +t ≤ 250
The solution to this model of the situation can be found by subtracting 141.
.. t ≤ 109
We graph the lower limit as zero because we know Joaquin cannot send a negative number of text messages.
Interpretation:
Joaquin can send between 0 and 109 additional text messages this month.
Madison drove from Atlantic City to newmark. Madison drove for 284 miles at a constant speed of 58 mph how long did it take for Madison to get there?
Answers
284 divided by 58 is 4.89
284 divided by 58 = 4.89 (approximately)
It took Madison 4.9 hours to get there.
The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.
smallest value-
largest value-
plz help
Answers
The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side. Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.
If we take the unknown side and the smallest one we're given, we would have the inequality
n+4>7
Subtracting 4 from both sides we would have n>3. That means it would have to be the next integer up, which would be 4.
Smallest value and largest value of n is [tex]11 , 3[/tex].
The third side of a triangle has a range,
[tex]Sum\; of \;two\; other\; sides\geq n\geq Difference\; of\; the\; sides[/tex]
[tex]7+4\geq n \geq7-4[/tex]
[tex]11\geq n \geq 3[/tex]
Therefore
Largest[tex]=11[/tex]
Smallest[tex]=3[/tex]
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What is the slope of this line?
Answers
To find slope, calculate the change in y-values and divide it by the change in x-values:
y1 - y2 / x1 - x2
You have the coordinates (-4, 5), (0, 6), and (8, 8). You can use any combination of two of these points to calculate slope. I'll use (0, 6) and (8, 8).
6 - 8 / 0 - 8
-2 / -8
1/4
Answer:
The slope of the line is 1/4
y2 = 8
y1 = 6
x2 = 8
x1= 0
That makes the problem 8 - 6/ 8 - 0. Let's subtract. 8 - 6 is 2. 8 - 0 is 8. 2/8 is 1/4 in simplest form. There. The slope of the line is 1/4.
how many pairs of parallel sides does the quadrilateral appear to have
Answers
Need help with this, thanks.
Answers
14. 2(x+4)
15. 24
16. 11(x+5)
17. 6(4x+3y)
18. 8(2x+10y)
19. 5(2x+3)
Hope this helped☺☺
Answer:
13. 27 + 12 = 39
14. 2x+8/2 = 2(x + 4)
15. 8+ 16 = 24
16. 11x=55/11 = 11(x + 5)
17. 24x + 18y/6 = 6(4x + 3y)
18. 16x + 40y/8 = 8(2x + 5y)
19. 10x + 15/5 = 5(2x + 3)
I truly hope that this was helpful.
Which of the following options is a better purchase for a microwave? A. $5 down with equal payments of $10 for 15 weeks B. $10 down with equal payments of $5 for 24 weeks C. $0 down with equal payments of $15 for 9 weeks D. $20 down with equal payments of $10 for 11 weeks
Answers
B. $10 down with equal payments of $5 for 24 weeks.
a large aquarium 18 inches deep holds 30 gallons of water. a small aquarium with the same shape holds 20 gallons of water. how deep is the small aquarium to the nearest inch?