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Related Questions
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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The gray area is the sidewalk. The area of the sidewalk is ___________ square units.
A) 48
B) 56
C) 72
D) 84
Answers
The answer is C: 72
Answer: 72
Step-by-step explanation: i did it a got it right
Help I have N0 IDEA how to do this!!!!!
Answers
2(lengthxwidth) + 2(widthxheight) + 2(lengthxheight)
2(3x2) + 2(2x10) + 2(3x10)
12+40+60
112 meters squared
list of all the dimensions you can make for rectangular prisms with 12cm linking cubes
Answers
1) 12 x 1 x 1
2) 6 x 2 x 1
3) 3 x 4 x 1
4) 3 x 2 x 2
Kevin has 23 dimes and quarters in his piggy bank. If the value of these coins is $4.55, how many dimes and quarters does he have? Set up and solve a system of equations to solve the problem
Answers
To solve the coin problem, two equations are set up, one for the total number of coins and another for the total value in dollars. By using the elimination method, we find that Kevin has 8 dimes and 15 quarters in his piggy bank.
Explanation:To solve this problem, we assign variables to represent the number of each coin type: let 'd' be the number of dimes, and 'q' be the number of quarters.
Now, we can set up our two equations. The first equation represents the total number of coins:
d + q = 23.
The second equation derives from the total value of the coins:
0.10d + 0.25q = 4.55.
Multiplying the second equation by 100 to clear the decimals gives us;
10d + 25q = 455.
To solve the system, we can use either substitution or elimination. Here, we will use elimination.
If we multiply the first equation by 10 (giving 10d + 10q = 230), we can subtract it from the modified second equation to eliminate 'd':
(10d + 25q) - (10d + 10q) = 455 - 230, simplifying to 15q = 225.
Dividing both sides by 15 gives us q = 15, which indicates Kevin has 15 quarters.
Substituting 'q = 15' into the first equation gives us d + 15 = 23, which simplifies to d = 8.
Therefore, Kevin has 8 dimes and 15 quarters.
PLEASE HELP ME I BEG YOU BRAINLIEST ALWAYS!!!!!
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CBC
The measure of an inscribed angle is half the measure of the arc it intercepts. The sum of all arcs in a circle is 360°. Inscribed angles that intercept the same arc are congruent. Pretty simple algebra and geometry. It should take you less time to work these than it does to post them.
how to solve this cause I was gone for 1/2 of my class and missed stuff.
Answers
a triangle can only have 180 degrees
we already know the measure of two angles
28+30= 58
because the third angle (let's call it x) for a a straight line (180°) with y, we know that
x + y =180
180-58 = 122°
x = 122°
180 - 122 = 58
y = 58°
To find y, first find the measure of the third interior angle. We'll call it x.
The triangle angle sum theorem allows us to create an equation to find x. Set the interior angle values equal to 180 and solve.
180 = 28 + 30 + x
Add the constants.
180 = 58 + x
Subtract 58 from both sides.
122 = x
Now, ∠x (which we now know measures 122°) is supplementary to ∠y. Set them equal to 180 and solve for y.
180 = 122 + y
Subtract 122 from both sides.
58 = y
Answer:m∠y = 58°
Find the value of x. Round to the nearest tenth of the right triangle. hypotenuse is x, side leg is 12, and angle is 47
Answers
12sq+47sq=csq = 2353
144+2209=csq a ugly and hary long number
= 48.50773134253961
now round it to the nearest tenth
Draw Three triangles One equilateral one isosceles and one scalene label Each and explain how you classified each triangle
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Here are the definitions of each:
1. Equilateral- this triangle has side lengths that are all the same (congruent).
2. Isosceles-this triangle has exactly 2 sides that are the same length(congruent).
3. Scalene- this triangle has no sides that are the same length.
I need help on number 11 please explain thanks! :)
Answers
Can someone help mesolve this equation?: 5x +2 = 62
Thanks!
Answers
5x + 2 = 62
5x = 60
x = 12
Hope this helps!
5x=60
x=12
I think I'm a little rusty on anything that isn't geometry
The unit rate in kilometers per minute for 18.25km in 1 h 45 minute
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The formula for speed is distance divided by time. Plugging our data in, we have S=18.25/105, which is 10.4826 km/h, to find kilometres a minute, we need to divide our answer by 60. Our answer is 0.17471 km/m
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year. Which function equation represents the population of the city after t years?
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_____
The multiplier from one year to the next is (1 -3.2%) = (1 -.032) = 0.968.
Answer:
This was the correct answer, I even provided proof from my own test. Hope this helps!
Step-by-step explanation:
Please do either 1,2,3 or 4
Answers
3. a)no because the 3 on the outside of the parentheses shifts the function up 3 not left 3
4. a) dilation
b) shift left or right
c) shift up or down
Mr.vitorello spends 35% of his salary on rent. he makes $2,500 each month. How much does he spend on rent each year
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Mr. Vitorello spends $10,500 on rent annually, which is calculated by multiplying the monthly rent expense ($875, which is 35% of his monthly salary) by 12.
Explanation:Mr. Vitorello spends 35% of his monthly salary on rent, which is $2,500 each month. To calculate how much he spends on rent each year, we first need to determine the monthly rent expense.
Monthly rent expense = 35% of monthly salary
= 0.35 imes $2,500
= $875
Now that we have the monthly rent expense, we can calculate the annual rent expense by multiplying the monthly amount by the number of months in a year.
Annual rent expense = Monthly rent expense imes 12
= $875 imes 12
= $10,500
Therefore, Mr. Vitorello spends $10,500 on rent each year.
there is a line whose slope is 1/6 and whose y-intercept is 4. what is its equation in slope intetecept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y= x +
Answers
this is in slope-intercept form which is y = mx + b
m is the slop and b is the y-intercept
A hair company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount of shampoo. 1/2 is pineapple, 1/5 is banana, 3/10 is coconut.
Batch 1:
Pineapple
Banana
Coconut is 2 1/10
Batch 2:
Pineapple
Banana is 3 1/5
Coconut
Batch 3:
Pineapple is 2 1/2
Banana
Coconut
Answers
Answer:
Batch 1: Pineapple = 3 1/2; Banana = 1 2/5
Batch 2: Pineapple = 8; Coconut = 4 4/5
Batch 3: Banana = 1; Coconut = 1 1/2
Step-by-step explanation:
For Batch 1:
We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:
3/10x = 2 1/10
Converting 2 1/10 to an improper fraction, we have
3/10x = 21/10
Divide both sides by 3/10:
3/10x ÷ 3/10 = 21/10 ÷ 3/10
To divide fractions, flip the second one and multiply:
x = 21/10 × 10/3 = 210/30 = 7
This means we have 7 total of the mixture.
1/2 of this is pineapple: 1/2(7) = 7/2 = 3 1/2
1/5 is banana: 1/5(7) = 7/5 = 1 2/5
For Batch 2:
1/5 of the total is banana; we have 3 1/5 banana:
1/5x = 3 1/5
Convert the second fraction to an improper fraction:
1/5x = 16/5
Divide both sides by 1/5:
1/5x÷1/5 = 16/5÷1/5
Flip the second fraction and multiply:
x = 16/5×5/1 = 80/5 = 16
We have 16 of the total shampoo.
Pineapple is 1/2 of this:
1/2(16) = 8
Coconut is 3/10 of the total:
3/10(16) = 48/10 = 4 8/10 = 4 4/5
For Batch 3:
Pineapple is 1/2 of the total. We have 2 1/2 pineapple:
1/2x = 2 1/2
Convert the fraction on the right to improper:
1/2x = 5/2
Divide both sides by 1/2:
1/2x÷1/2 = 5/2÷1/2
Flip the second fraction and multiply:
x = 5/2×2/1 = 10/2 = 5
We have 5 total shampoo.
Banana is 1/5 of this:
1/5(5) = 1
Coconut is 3/10 of this:
3/10(5) = 15/10 = 1 5/10 = 1 1/2
what is the answer to 2/3(5x+6)=34
Answers
The solution is x= 9.
Simplify both sides, then isolate the variable.
Have a terrific day and let me know if you have more questions!
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A student wrote this statement “a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches.” Identify and correct the error
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We observed that:
V = (15) * (20) = 300
The numeric value is correct.
However, the units are not because the volume is expressed in:
units ^ 3
Answer:
"a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 CUBIC inches. "
The area of rectangle A is 11/12 square meters.The area of rectangle B is 8/12 square meters.How much larger is rectangle A?
Answers
Rectangle A is 1/4 m² larger than rectangle B
Explanation:
We are given that:
Area of triangle A = 11/12 m²
Area of rectangle B = 8/12 m²
To know how much larger is rectangle A than rectangle B, all we have to do is subtract the area of rectangle B from rectangle A as follows:
Difference in area = 11/12 - 8/12 = 3/12 = 1/4 m²
This means that rectangle A is 1/4 m² larger than rectangle B.
Hope this helps :)
Solve 8n + 2 – 6n = 9 + 2n – 13, and interpret the results.
no solutions
infinitely many solutions
only one solution, n = 2
two solutions, n = 2 or n = - 4
Answers
8n - 6n - 2n = 9 - 13 - 2
0n = - 6
No solution
The equation 8n + 2 - 6n = 9 + 2n - 13 has only one solution, n = -3.
Explanation:To solve the equation 8n + 2 - 6n = 9 + 2n - 13, we need to simplify both sides and combine like terms.
Starting with the left side of the equation, 8n - 6n can be simplified to 2n. And on the right side, 9 - 13 is -4.
So, we have 2n + 2 = -4. We can now subtract 2 from both sides to isolate the variable n. This gives us 2n = -6. To solve for n, divide both sides of the equation by 2: n = -3.
Therefore, the equation 8n + 2 - 6n = 9 + 2n - 13 has only one solution, n = -3.
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nicks telephone company charges 0.05 per min for weekend calls and $0.09 per minute for calls made on weekdays this month Nick was bailed 622 minutes these charges were 45.94 how many minutes did he talk on weekends and how many minutes did he talk on weekdays
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Information Given
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Weekends = $0.05
Weekdays = $0.09
Total duration = 622 mins
Total Amount = $45.94
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Assumed all are weekends
---------------------------------------------------------------------------------------------------
$0.05 x 622 = $31.10
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Difference in the amount
---------------------------------------------------------------------------------------------------
$45.94 - $31.10 = $14.84
---------------------------------------------------------------------------------------------------
Difference in the weekdays and weekends charge
---------------------------------------------------------------------------------------------------
$0.09 - $0.05 = $0.04
---------------------------------------------------------------------------------------------------
Find weekdays minutes
---------------------------------------------------------------------------------------------------
$14.84 ÷ 0.04 = 371 mins
---------------------------------------------------------------------------------------------------
Find weekend minutes
---------------------------------------------------------------------------------------------------
622 - 371 = 251
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Answer: Weekdays = 371 mins, weekends = 251 mins
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Am I doing these right? Are these correct?
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a line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?
Answers
u = -2
Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2
Hope this helps :)
(07.01)Megan is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits. Red shirt – Black pants Redshirt – White pants Red shirt – Blue pants Pink shirt – Black pants Pink shirt – White pants Pink shirt – Blue pants Based on the list, how many different-color pants does Megan have to choose from?
Answers
Answer: Three
Step-by-step explanation:
Given: )Megan is picking out an outfit to wear.
The given list of outfits :-
Red shirt – Black pants
Red shirt – White pants
Red shirt – Blue pants
Pink shirt – Black pants
Pink shirt – White pants
Pink shirt – Blue pants
The name of colors of pants :- Black , White , Blue
⇒ The number of different-color pants =3
Therefore, there are three different color pants from which Meghan has to choose .
The surface area of a prism is Square units all measurements in the image below input whole number only
Answers
The area of the base is (3)(5.5), 16.5.
The area of the slanted rectangle is (5.5)(5), which is 27.5.
The area of the vertical rectangle is (4)(5.5), which is 22.
Adding these, we get 78.
---
Hope this helps!
what is equivalent to ^3√8^x
Answers
[tex] \sqrt[3]{8}^x [/tex]
When writing in fraction - exponent form:
It will be [tex] \frac{power}{root} [/tex]
[tex]8^ \frac{x}{3} [/tex]
Your answer will be the third option
Here, you are trying to write a square root into fraction. To do that, you just have to apply the formula :
[tex]x ^\frac{power}{root} [/tex]
Then, here it gives [tex]8 ^\frac{x}{3} [/tex].
In short, the answer would be the option C.
Hope this helps !
Photon
Definition of classic probability
Answers
Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses. Probability can also be applied in various fields such as medicine and stock market.
Explanation:Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses.
When you toss a coin, the chance of a head turning up is 50 percent. This is because a coin has only two sides, so there is an equal chance of a head or tail turning up on any given toss.
Probability can also be applied in various fields. For example, doctors use probability to determine the chance of a vaccination causing the disease the vaccination is supposed to prevent.
Stockbrokers use probability to determine the rate of return on a client's investments. In statistics, we study populations and use a sample to gain information about the larger population. Data are the result of sampling from a population.
A system of two linear equations is shown.
5x + 2y = –4
5x + 2y = 1
Which statement is true regarding the solution to this system of linear equations?
A.The system has no solution.
B.The system has one unique solution at (5, 2).
C. The system has one unique solution at (–4, 1).
D. The system has an infinite number of solutions.
Answers
5x + 2y = 1
0=5
A. No solution
We need to find which of the given statements are true.
The system of linear equations has no solutions.
First let us find what type of solution does the system have
The equations are
[tex]5x+2y=-4[/tex]
[tex]5x+2y=1[/tex]
So,
[tex]\dfrac{a_1}{a_2}=\dfrac{5}{5}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-4}{1}=-4[/tex]
So,
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
This means the two lines do not intersect and are parallel.
Hence, the system of linear equations has no solutions.
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Angle K in △MKL is a right angle.
What is the value of tan M ?
8/15
8/17
15/8
15/17
Answers
_____________________________________________________
Remember:
" SOH CAH TOA " ;
_____________________________________________________
tan = opposite / adjacent;
tan "M" = 15/8 ; which is: Answer choice: [C]: " 15/8 " .
_____________________________________________________