Answer:
Yes!
Step-by-step explanation:
In Pythagorean Triples, the two legs always have to add up to be a greater number than the hypotenuse. In this case, 12 and 16 are the legs and 20 is the hypotenuse. The sum of 12 and 16 is 28. That is more than 20, so 12, 16 and 20 make a right triangle. I hope this helps you!
Final answer:
The numbers 12, 16, and 20 satisfy the Pythagorean Theorem, confirming that they indeed form a right triangle, as the sum of the squares of 12 and 16 is equal to the square of 20.
Explanation:
To persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not, we need to use the Pythagorean Theorem, which is a fundamental principle in Euclidean plane geometry that applies to right triangles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as c² = a² + b², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
For the given numbers 12, 16, and 20, we need to determine if 20² equals 12² + 16²:
12² = 144
16² = 256
20² = 400
Now, add the squares of the lengths of the two smaller sides:
144 + 256 = 400
Indeed, the sum of the squares of 12 and 16 equals the square of 20, which confirms that these side lengths do form a right triangle according to the Pythagorean Theorem. Thus, the numbers 12, 16, and 20 do in fact make a right triangle.
In a class of 34 students 19 of them drinks tea and 4 of them drinks coffee 3 drinks both coffee and tea .
1- Draw a Venn diagram to show this information
2- how many students do not drink coffee or tea
The answer is attached.
Find the measure of arc QR
doing quests, sorry luv. but what does it look like?
C. 104°. The measure of arc QR is equal to 104°.
In Mathematics and Euclidean Geometry, the inscribed angle of a circle is equal to one-half of the central angle or intercepted arc of a circle. This ultimately implies that, the measure of an inscribed angle is one-half the measure of the arc it intercepts based on the inscribed angle theorem.
Since angle S intercepts arc QR, the measure of the angle substended by the intercepted arc can be modeled by the following mathematical equation:
m∠S = 1/2(arc QR).
52 = 1/2 × arc QR
Arc QR = 2 × 52
Arc QR = 104°.
Complete Question:
Find the measure of arc QR.
A. 26°
B. 52°
C. 104°
D. 128°
3x+6y=8
The equation in slope-intercept form is y=
Answer:
y=1/2x+4/3
Step-by-step explanation:
1.) subtract -3x to the side the 3x is on and then put it on the side that has the 8 on it
2.) write it out as 6y=-3x+8
3.) divide by six to the whole problem
4.) simplify
Find the area of the shape shown below.
Answer:
the answer to this question would be 47.5
25 more than a number, t
Answer:
25+(The number)
Step-by-step explanation:
please help will mark branlist!!
Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
Which equivalent four-term polynomial can be created using the X method?
x2 + 8x + 8x + 48
x2 – 12x – 4x + 48
x2 + 12x + 4x + 48
x2 – 8x – 8x + 48
Answer:
X2+ 12x+4x+48
Step-by-step explanation:
Answer:
C) x2 + 12x + 4x + 48
A bar graph titled Time Spent Practicing with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 minutes, 5 students spent 1 to 1 hours and 59 minutes, 8 students spent 2 to 2 hours and 59 minutes, 4 students spent 3 to 3 hours and 59 minutes, and 1 student spent 4 to 4 hours and 59 minutes. The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
(a)Number of students
(b)5 Students
(c)8 Students
Step-by-step explanation:
From the supplied information
[tex]\left|\begin{array}{c|c}$Time Spent Practicing(hrs)&$Number of Students\\-------&------\\$0 to 59 minutes & 3\\$1 to 1 hours and 59 minutes&5\\$2 to 2 hours and 59 minutes&8\\$3 to 3 hours and 59 minutes&4\\$4 to 4 hours and 59 minutes&1\end{array}\right|[/tex]
(a)The bars represents the number of students who practiced for that particular duration.
(b)Students who spend 3 or more hours practicing
From the above table,
Number of students who spend 3 or more hours practicing=4+1
=5 Students
According to the histogram, 5 students spend 3 or more hours practicing.
(c)Students who spend fewer than 2 hours practicing
From the above table,
Number of students who spend fewer than 2 hours practicing=3+5
=8 Students
According to the histogram, 8 students spend fewer than 2 hours practicing.
Answer:
1. number of students
2. number 5
3. number 8
Step-by-step explanation:
hope this helps! have a good day! :)
Help really need answer. Thanks
George is reading a book that is 420 pages long. He reads 45 pages on the first day. He will read the remaining pages in the book in 15 more days. During that time he will read an equal number of pages each day. How many pages will he read each day?
A.7
B.25
C.28
D.31
Answer:
The answer is 28
Step-by-step explanation:
28×15=420 pages
Evaluate −2x2−4x+3 when x=−2
Answer: 3
Step-by-step explanation:
Evaluate is a fancy word for putting the value assigned into the equation and see what result you get.
[tex]-2x^2-4x+3\\x=-2[/tex]
[tex]-2(-2)^2-4(-2)+3\\-2(4)+8+3\\-8+8+3\\3[/tex]
To evaluate the expression −2x²−4x+3 for x=−2, substitute x with -2 and perform the operations: square x, multiply by -2, multiply -4 by x, and add the results to get the final answer of 3.
To evaluate the expression
−2x²−4x+3 when x=−2, we need to substitute x with −2 and then follow the order of operations, which is to perform exponentiation before multiplication and addition.
Thus, −2x²−4x+3 evaluates to 3 when x is −2.
Hector and his classmates traveled 416 miles in 8 hours. How many miles per hour did they travel?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
you just need to divide 416 by 8
Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?
Answer:
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Step-by-step explanation:
Center of the ellipse is at origin (0, 0)
So (h, k) = (0, 0)
Length of major axis = 12
2a = 12
⇒ a = 6
Length of minor axis = 8
⇒ 2b = 8
⇒ b = 4
Since focus is on the x-axis, so it's a horizontal ellipse.
Equation of the horizontal ellipse is in the form of,
[tex]\frac{(x-h)^{2} }{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
By substituting the given values of a, b, and (h, k)
[tex]\frac{(x-0)^{2}}{6^2}+\frac{(y-0)^2}{4^2}=1[/tex]
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Answer:
A
Step-by-step explanation:
edge
You have less than 3 hours to complete your homework. What inequality would represent this?
Answer:
<
Step-by-step explanation: Since it just said you have less than and not equal to you can say its only less than.
Answer:
< Is the correct answer
Do these rates form a proportion? Defend your answer.
66 songs: 6 hours
22 songs: 2 hours
Answer:
They form a proportion
Step-by-step explanation:
Take 66 songs and divide by 6 hours
66/6 = 11 songs per hour
Take 22 songs and divide by 2 hours
22/2 = 11 songs per hour
The rates are the same so they a proportional
The rates 66 songs in 6 hours and 22 songs in 2 hours do form a proportion, as both simplify to the same ratio of 11 songs per hour, indicating a consistent linear relationship between the number of songs and listening time.
Explanation:The question asks if the rates of 66 songs in 6 hours and 22 songs in 2 hours form a proportion. To determine this, we check if the ratios are equivalent. The ratio for the first rate is 66 songs per 6 hours, which simplifies to 11 songs per hour (since 66 ÷ 6 = 11). The ratio for the second rate is 22 songs per 2 hours, which simplifies to 11 songs per hour (since 22 ÷ 2 = 11). Since both rates simplify to the same unit rate of 11 songs per hour, they indeed form a proportion. This shows that the rate at which songs are experienced is consistent across both periods, essentially indicating that the number of songs listened to scales linearly with the time spent listening.
Simplify the expression. StartFraction 0.5 (negative 14 + 12.6) over 9.32 + (negative 7.92) EndFraction –0.04 –0.5 0.5 9.5
Answer:
Negative 0.5
Step-by-step explanation:
i just took the test and got the awnser right.
(5x-6)^2=25x^2-60x+36. Where did the -60x come from?
Answer:
see below
Step-by-step explanation:
(5x-6)^2
This means
(5x-6)*(5x-6)
FOIL
First: 5x*5x = 25x^2
outer: 5x*-6 = -30x
inner -6*5x = -30
last -6*-6 = 36
Add these together
25x^2 -30x-30x +36
Combine like terms
25x%2 -60x+36
What is the value of a?
Answer:
180-(4a+32)=48-4a
(142-4a)+39+(a+41)=180
-4a+a=180-142-39-41
-3a= -48
a=-48/-3
a=16
help with on number 4 and 6 please! I will mark you the brainliest!
Answer:
4. 2 triangular faces, 9 edges, and 6 vertices
6. 2 rectangular faces, 12 edges, and 8 vertices
Step-by-step explanation:
Please mark brainliest :)
If line L bisects AB at point M, and if AM = 4x and MB = 5x - 4. then find AB.
By setting up and solving the equation 4x = 5x - 4, we can find the value of x. Substituting the value of x into the expression for AM or MB, we can find the length of AB.
Explanation:In order to find AB, we need to solve for x since AM and MB are given in terms of x. Since line L bisects AB at point M, AM and MB should be equal. So, we can set up the equation 4x = 5x - 4 and solve for x.
4x = 5x - 4
-x = -4
x = 4
Now that we have the value of x, we can substitute it back into one of the expressions for AM or MB to find the length of AB. Using AM = 4x, we have AB = AM + MB = (4 * 4) + (5 * 4 - 4) = 16 + 16 = 32.
Therefore, AB is 32 units long.
Learn more about Geometry here:https://brainly.com/question/31408211
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Please answer ASAP I will give you five stars
Answer:
144π or 452.16
Step-by-step explanation:
Use the equation V = πr²h and solve for V to find volume
V = π(6)²(4)
V = 144π or 452.16
Four friends went to a park to fly kites. Asher stood 50 feet due west of the flagpole. Baxter stood 50 feet due north of Asher. Cranby stood 100 feet due East of Baxter. Dudley stood 50 feet due south of Cranby. How far is Dudley from the flagpole
Answer:Dudley is 50 feet from the flagpole.
Step-by-step explanation:
The situation is represented in the attached diagram. FL represents the flagpole.
A represents the position of Asher.
B represents the position of Baxter.
C represents the position of Cranby.
D represents the position of Dudley.
Looking at the diagram, Dudley is at the same level with Asher but eastwards of the flagpole. The distance of Dudley from the flagpole would be
100 - 50 = 50 feet
Final answer:
Dudley is 100 feet east from the flagpole after the friends have each moved from their starting positions.
Explanation:
The question describes four friends at different locations in relation to a flagpole, and we are asked to determine how far Dudley is from the flagpole after following the described steps by the friends. To solve this, we can visualize or draw a diagram to represent the positions of friends and use the Pythagorean theorem to find the distance Dudley is from the flagpole.
Asher is 50 feet due west of the flagpole.Baxter is 50 feet due north of Asher.Cranby is 100 feet due East of Baxter.Dudley is 50 feet due south of Cranby.First, let's determine the position of Cranby.
Since Baxter moved 50 feet north from Asher's position and then Cranby moved 100 feet east from Baxter's position, we can see that Cranby is 100 feet east and 50 feet north of the flagpole.
Dudley, standing 50 feet south of Cranby, would thus be at the same north-south position as the flagpole but still 100 feet to the east.
Therefore, Dudley is 100 feet east of the flagpole.
Choose the equation that represents the solutions of 0 = 0.25x2 - 8x
0.25+ 0.25)2 – (4)(1)(-8)
2(1)
-0.25 +
0.25)2 – (4)(1)-8)
2(1)
(-8)2 – (4)(0.250
200.25)
(-8)2 – (4)(0.25)0
2(0.25)
Answer:
Step-by-step explanation:
Given that,
0 = 0.25x² - 8x
This is a quadratic equation, since it has the highest power of x to be 2.
0.25x² - 8x = 0
Simplify this by bring out x
x(0.25x - 8) = 0
So, if a × b = 0, it is either a = 0 or b = 0, if the multiplication of two number is 0, then it is either one of the number is 0 or both numbers is 0
So,
x(0.25x - 8) = 0
x = 0. OR. 0.25x - 8 = 0
x = 0. OR. 0.25x = 8
x = 0. OR. x = 8 / 0.25
x = 0. OR. x = 32.
So, the solution that describe the system is
0.25(0)² - 8(0)
OR
0.25(32²) - 8(32)
Answer:
c
Step-by-step explanation:
A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}
5
2
πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the circle?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
100pi
Step-by-step explanation:
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
units^3
3
cubed
Step-by-step explanation:
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
units^3
3
cubed
PLEASE HELP ME!!!
I have a sock drawer with 16 socks. 6 are black, 8 are white and 2 are blue. What is the probability that I will randomly choose a white sock, put it to the side, and then randomly choose another white sock?
A. 7/30
B. 8/16
C. 7/15
D. 29/30
The probability of choosing one white sock and then another white sock from a drawer of 16 socks with 8 being white is 7/30, calculated by multiplying the probability of each event: (1/2) * (7/15).
Initially, there are 8 white socks out of 16 total socks in the drawer. After putting one white sock aside, there are now 7 white socks left out of 15 total socks in the drawer.
The probability for each event is calculated separately:
The probability of picking a white sock first: 8/16 or 1/2.
Then the probability of picking another white sock: 7/15.
To find the overall probability of both events occurring in sequence (one after the other), we multiply the probabilities of the two independent events:
(1/2) * (7/15) = 7/30.
So the correct answer is A. 7/30.
what is an equevilent fraction to 2/4
1/2 = 2/4 = 3/6,4/8,5/10,6/12,7/14, etc.
Add 1 to the numerator. Add 2 to the denominator.
Answer:
Equivilent fractions of 2/4 include the following: 1/2, 3/6, 4/8, 5/10.
Step-by-step explanation:
The fraction 2/4 can be simplified to 1/2, because 2 is half of 4. And since 3 is half of 6, it can also be simplified to 1/2, making the fractions 2/4 and 3/6 equal to eachother.
I hope that makes sense :)
A hovercraft takes off from a platform.
Its height (in meters),
x
xx seconds after takeoff, is modeled by:
h
(
x
)
=
−
3
(
x
−
3
)
2
+
108
h(x)=−3(x−3)
2
+108h, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, minus, 3, right parenthesis, squared, plus, 108
What is the height of the hovercraft at the time of takeoff?
Answer:
81 meters.
Step-by-step explanation:
The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:
[tex]h(x)=-3(x-3)^2+108[/tex]
We are to determine its height at the time of takeoff.
Now, at the time of takeoff, x=0.
We substitute x=0 to solve for h.
[tex]h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters[/tex]
The height of the hovercraft at takeoff is 81 meters.
How many meters are in 7.2 kilometers ?
Answer:
7200 meters
Step-by-step explanation:
What is 110% of 90 as a fraction
Answer:99/1
Step-by-step explanation:110% = 1.1
1.1 * 90 = 99
99= 99/1
BRAINLIEST FOR HELP PLZ
Answer:
1,395 sq feet
Step-by-step explanation:
lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395
Answer: 1465
Step-by-step explanation:
225 base
225 for each wall (x4)
540 area for the top
Porcentagem No dia 15/05/2020 as 18h e 40min o G1 divulgou que a Paraíba tem 3.739 casos confirmados e 170 mortes por coronavírus. Qual a porcentagem de mortos no Estado da Paraíba em relação a quantidade de casos confirmados ?
Answer:
The percentage of deaths in relation to the number of cases is 4.55%.
Step-by-step explanation:
The proportion of deaths is the number of deaths divided by the number of cases(Proporção de mortes é o numero de morte dividido pelo de casos).
The percentage is the proportion multiplied by 100.
In this question:
3739 cases, 170 deaths
170/3739 = 0.0455
0.0455*100 = 4.55%
The percentage of deaths in relation to the number of cases is 4.55%.