Answer: option A is correct
Step-by-step explanation:
The given side lengths are
A) 5, 12, 13
B) 4, 4, 8
C) 2, 3, 4
To be able to form a right ange triangle, the given side lengths must be a Pythagorean triple. Pythagorean triple obeys the Pythagorean theorem such that
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = the longest side
Applying it to the given options,
A) 13² = 5² + 12² = 25 + 144
169 = 169
It forms a right angle triangle
B) 8² = 4² + 4² = 16 + 16
64 ≠ 32
It does not forms a right angle triangle
C) 4² = 3² + 2²
16 ≠ 13
It does not forms a right angle triangle
Answer:
Option A) 5, 12, 13 is a right angle triangle.
Option C) 2, 3, 4 is approximately a right angle triangle.
Step-by-step explanation:
A right angle triangle always follow pythagora's theorem which basically states that the addition of the squares of the two smaller sides must give the square of the largest side.
For option A)
5^2 + 12^2 = 25 + 144 = 169
Square root of 169 is 13, so it's correct.
For option B)
4^2 + 4^2 = 16 + 16 = 32
Square root of 32 is 5.65, which is not equal to 8. This is not a right angle triangle.
For option C)
2^2 + 3^2 = 4 + 9 = 13
Square root of 13 is 3.606, approximately 4. So this is approximately a right angle triangle.
If the answer requires that it must be exact then choose only A, Otherwise, A and C are correct.
Math slope please jelpyasap
Answer:
2/2
Step-by-step explanation:
the slope is the distance between the two dots. So for the first dot to get to the second dot is up two, and right two
Help I will give point s
Answer:
what do you need help with?
Step-by-step explanation:
Which of the following fractions converts to a repeating decimal? A 3/8 B 2/9 C 3/10 D 5/16
Answer:
B. 2/9
Step-by-step explanation:
3/8 = 0..375
2/9 = 0.2222222222
3/10 = 0.3
5/16 = 0.3125
the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers
Some trapezoids are rectangles true or false
Answer:
False.
Step-by-step explanation:
A trapezoid is only ONE pair of parallel sides, not two.
A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are:
(-2.5, 3), (2.5, 3), (6.5, 0), (2.5, -3), (-2.5, -3), (-6.5, 0). How long is each side of the park?
Answer:
5 unit
Step-by-step explanation:
by taking the two points and calculating their distance
length of each side of the park=
sq.rt[(6.5-2.5)^2 + (0-3)^2]
=5
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. The probability of spinning an odd number, flipping heads, then spinning a yellow is .
The correct question is;
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. Find the probability of spinning an odd number, flipping heads, then spinning another odd number? Write your answer as a fraction in simplest form.
Answer:
If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8
Whereas, if the spinner has an odd number of spaces, more information is needed
Step-by-step explanation:
The answer will depend on whether the spinner has an odd or even number of spaces.
Now, if we suppose that the spinner has an even amount of numbers on it, there will be an equal number of odd and even numbers.
Thus the probability of spinning an odd number is ½.
Also, the probability of flipping heads on a coin is ½.
Thus, the probability of spinning an odd number, flipping heads, then spinning another odd number is;
= ½ × ½ × ½ = ⅛
Similarly,
If the spinner has an odd amount of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 5 spaces on the spinner, the probability of spinning an odd number will be
3
However, if there are 9 spaces, the probability will be 5/9
So,we can conclude that;
If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8
Whereas, if the spinner has an odd number of spaces, more information is needed.
The ratio of cars to trucks passing the intersection of Reyes Adobe and TO Blvd is 7:2. If 108 vehicles pass this intersection, how many are cars?
Answer:
84 cars
Step-by-step explanation:
the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12
12 x 7= 84.... or at least that's how I think of it.
A family has three children. The oldest child is 4 years older than the
middle child, and the youngest child is 2 years younger than the
middle child. The sum of the ages of the children is 26.
R
How many years old is the youngest child?
years old
Q
Answer:6 years
Step-by-step explanation:
Given
A family has 3 children
Suppose the age of middle child is [tex]x[/tex]
According to the question, Age of oldest child is [tex]=x+4[/tex]
Eldest child age [tex]=x-2[/tex]
Sum of the ages of children is [tex]26[/tex]
[tex]x+4+x+x-2=26[/tex]
[tex]3x+2=26[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]
The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree?
Answer:
22.6 feet
Step-by-step explanation:
Let x be the length of tree
tan(62) = x/12
x = 12tan(62)
x = 22.56871758
The height of the given tree is required.
The height of the tree is 22.57 feet.
[tex]\theta[/tex] = Angle of elevation = [tex]62^{\circ}[/tex]
s = Length of shadow = 12 feet
t = Tree height
From the trigonometric ratios we get
[tex]\tan \theta=\dfrac{t}{s}\\\Rightarrow t=s\tan\theta\\\Rightarrow t=12\times \tan62^{\circ}\\\Rightarrow t=22.57\ \text{feet}[/tex]
The height of the tree is 22.57 feet.
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53 students are going on a field trip to the museum of modern art. Each bus holds 40 people. How many buses must be used to transport all the students
Answer:
2
Step-by-step explanation:
If you take 1 bus then that means leaving 13 peoplee brhind(53-40=13), so you have to take 2 buses.
53 students are going on a field trip to the museum of modern art.
Each bus holds 40 people. we need 2 buses to hold the all students.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
53 students are going on a field trip to the museum of modern art.
Each bus holds 40 people.
Total students left = 53 - 40
= 13
one bus can hold a number of students = 40
but we have 13 more students which are less than 40.
So, we need one more bus to hold the leftover.
Learn more about summation;
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Determine the center and radius of the following circle equation:
x ^2 +y ^2 −18x+4y+60=0
Answer:
Step-by-step explanation:
you can answer this on photo math
Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. PRIYA MADE A MISTAKE: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the MEDIAN of the data set? *
Answer:
1,2,4,6,8
And the median can be calculated from the value in the position 3th and we got 4
[tex] Median =4[/tex]
And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:
1,2,4,6,18
And the median for this case again would be the value in the 3th position and we got:
[tex] Median =4[/tex]
So then we can conclude that the median is unaffected by the change of 18 instead of 8
Step-by-step explanation:
For this case we have the original dataset given:
1, 8, 6, 2, 4
And the median for this dataset can be calculated with the following dataset ordered:
1,2,4,6,8
And the median can be calculated from the value in the position 3th and we got 4
[tex] Median =4[/tex]
And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:
1,2,4,6,18
And the median for this case again would be the value in the 3th position and we got:
[tex] Median =4[/tex]
So then we can conclude that the median is unaffected by the change of 18 instead of 8
Jim had $2,052.24 in his checking account. He wrote a check to pay for two airplane tickets. His account now has $1,084.12. How much did each ticket cost?
Answer:
$484.06
Subtract 1084.12 from 2052.24 and that equals 968.12 then you divide that by 2
a. A = {men with good set of teeth} empty or non empty?
Answer:
de choices i see are matcheing up to A not sure tho could be C
Step-by-step explanation:
codeine
Can you help find X?
Answer:
Step-by-step explanation:
63x−8≤23 OR −4x+26≥6
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
What is the percent composition of sulfur in SO2?
Answer:
50.052%
Step-by-step explanation:
Answer:
32.1 g
----------- x 100%
(32.1 g + 16.0 g + 16.0 g)
Explanation:
A P E X :)
help me answer this <3
what two intergers does √75 fall between ?
a) 7 & 8
b) 8 & 9
c) 9 & 10
d) it's exactly 30
a square with an area of 9cm2. If each side has its length doubled, what is the new area?
Answer:
36
Step-by-step explanation:
James has a lot of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how many games James has and how many games Samuel has in terms of g.
Answer: The answer is given below
Step-by-step explanation:
From the question, James has a lot of games while his friend Samuel, has 4 times as many games as James.
Let the number of games James has be represented by g.
Since Samuel has 4 times as many games as James, then Samuel's game will be:
= 4 × g
= 4g
The expression for James is g.
The expression for Samuel is 4g.
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
Solve x^2 -24 = -80 by completing the square.
What is the solution set of the equation?
A.(2,40)
B.(4,20)
C.(5,16)
D.(8,10)
Answer:
B.(4,20)
Step-by-step explanation:
Given: [tex]x^2 -24x = -80[/tex]
To solve the quadratic equation by completing the square, we follow these steps.
Step 1: Divide the coefficient of x by 2
[tex]-\dfrac{24}{2}=-12[/tex]
Step 2: Square your result fro Step 1
[tex](-12)^2[/tex]
Step 3: Add the result form step 2 to both sides of the equation
[tex]x^2 -24x+(-12)^2 = -80+(-12)^2[/tex]
Step 4: Rewrite the Left hand side in the form [tex](x+k)^2[/tex]
[tex](x-12)^2=-80+144\\(x-12)^2=64[/tex]
Step 5: Take square roots of both sides
[tex]x-12=\pm \sqrt{64}[/tex]
Step 6: Solve for x
[tex]x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.[/tex]
Therefore, the solution set of the equation is (4,20).
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each scarf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items. Let h be the number of hats Elliott makes and s be the number of scarves she makes. Which system of equations represents this situation?
Answer:
Step-by-step explanation:
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as
h = 2s
The total number of hats and scarves that she wants to make is 20. This is expressed as
h + s = 20
Therefore, the system of equations that represents this situation are
h = 2s
h + s = 20
Answer: The answer is letter C
Step-by-step explanation:
On the day a video was posted online, 5 people watched the video. The next month the number of viewers had doubled. Assume the number of viewers continues to double each day.
1) How many viewers will be there in one year? Use commas. Show your reasoning.
2) Estimate on which day will 640 people see the video? Show your reasoning.
Answer:
Step-by-step explanation:
Given
When video is posted 5 people watched it
Next day number of viewers doubled
Suppose this trend continues i.e. No of viewers doubled each day
So on 2 nd day no of viewers is [tex]2\times 5[/tex]
On 3rd day , viewers [tex]2^2\times 5[/tex]
on n th day , viewers is [tex]2^{n-1}\times 5[/tex]
So no of viewers in 1 year i.e. on 365 day
[tex]=2^{365-1}\times 5[/tex]
[tex]=2^{364}\times 5[/tex]
(ii)Day on which 640 people seen the video
[tex]2^{n-1}\times 5=640[/tex]
[tex]2^{n-1}=128[/tex]
[tex]2^{n-1}=2^7[/tex]
Therefore
[tex]n-1=7[/tex]
[tex]n=8\ days[/tex]
Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Price of one drink is $9.25
Step-by-step explanation:
Let the price of a bag of popcorn be p.
Let the price of a drink be d.
Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:
2p + 2d = 39 ____________(1)
Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:
8p + 10d = 174.50 _________(2)
We now have two system of equations which we can use to find the price of a bag of popcorn and drink:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Multiply (1) by 4 subtract from (2):
8p + 10d = 174.50 _______(2)
- 8p + 8d = 156 __________(1)
2d = 18.50
=> d = $9.25
The price of one drink is $9.25
Will mark Brainliest please answer
Answer:
A. (-1,-2)
Step-by-step explanation:
hope this helps :) and can i ask is that a leg next to the screen?
sin(90°– x)= - square root 3 over 2 the value of x is
Answer:
x=30
Step-by-step explanation:
Sin 60 = ((√3)/2), so x=90-60. x=30.
The required value of x for function sin(90°– x)= - √3/2 is x =150°.
A function is given as sin(90°– x)= - √3/2, Value of x for the function is to be determined.
What are trigonometric equations?The equation contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
sin(90°– x)= - √3/2
sin(90°– x) = -sin60
90°-x = sin(-60°)
90°-x = -60°
-x = -60°-90°
x = 150°
Thus, the required value of x for function sin(90°– x)= - √3/2 is x =150°.
Learn more about trigonometry equations here:
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1 1/7 times 3/5 plz answer now
Answer:
24/35 or 0.6857142
Step-by-step explanation:
Answer:
[tex] \frac{24}{35} [/tex]
alternative form:
[tex] 0.685714286 [/tex]
Step-by-step explanation:
[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]
NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3
Answer:
1
Step-by-step explanation:
The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!
help please!! 10 points <3
Answer:
x = 5
Step-by-step explanation:
15 / 3 =5
