Answer:
a
Step-by-step explanation:
got it right
14 squared + 10 squared not-equals 20 squared. Therefore, option A is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, the completed frame is 14 inches long and 10 inches wide.
Tasha measured the diagonal length across the frame as 20 inches.
By using Pythagoras theorem, we have
20²=10²+14²
400=100+196
400≠296
Therefore, option A is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ3
Please help - Factor to create an equivalent expression using the GCF: 20x - 10?
Answer:
10(2x-1)
Step-by-step explanation:
Since the GCF (greatest common factor) of 20 and 10 is 10 We factor out the 10.
=> 10(2x-1)
Sanjay, Ajay and Anushka are employees of a company that has branches in Chennai, Bangalore and Mumbai. The company sends each of them to one of these cities at random. Let X X be a random variable that denotes the number of employees assigned to their favourite cities. If Chennai, Bangalore and Mumbai are the favourite cities of Sanjay, Ajay and Anushka, respectively, then find the possible values of X.
a. X= {0,1,2}
b. X= {0,1,2,3}
c. X= {0,1,3}
d. X= {0,[infinity]}
Answer:
c. X= {0,1,3}
Step-by-step explanation:
We have these possible outcomes:
None assigned to their favorite cities.
One assigned to their favorite city(The other two are assigned to the other's favorite city).
All are assigned to their favorite city.
Why is two not possible?
If two peooke are assigned to their favorite city, the third person necessary has to be assigned to their favorite city, as it will be the only option remaining.
So the correct answer is given by option c.
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d = 20 centimeters. What is the area (A) of the circular cross section of this pipe?
║Give your answer in terms of ⫪║
Answer:
radius=diameter/2=20/2
=10cm/100=0.1m
Area of a circle=πr^2
A=π×0.1×0.1
A=0.01πm^2
Twice a number is 17
Answer:
Twice a number is 17=2×17=34
8.5
8.5=8.5=17
8+8=16
.5+.5=1
16+1=17
The school play earned $11,271 in ticket sales. If the cost of each ticket was $13, how many tickets were sold?
Answer:
867 tickets were sold because if you divide how much they earned by how much it cost you get 867
Answer:
867 Tickets
Step-by-step explanation:
Divide $11,271 by the number of the ticket cost $13.
11,271/13= 867
A graphing calculator is recommended. A bacteria culture starts with 300 bacteria and doubles in size every half hour. (a) How many bacteria are there after 2 hours? bacteria (b) How many bacteria are there after t hours? y = bacteria (c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
Answer:
a) 4800 bacteria
b) [tex]y(t) = 300(4)^t[/tex]
c) 754 bacteria
Step-by-step explanation:
A bacteria culture starts with 300 bacteria and doubles in size every half hour.
This means that the number of bacteria after t periods of half hour is given by:
[tex]y(t) = 300*(2)^{t}[/tex]
(a) How many bacteria are there after 2 hours?
2 hours is 2*60/30 = 4 periods of 2 hours, so this is y(4).
[tex]y(4) = 300*(2)^{4} = 300*16 = 4800[/tex]
(b) How many bacteria are there after t hours?
It doubles every half hour, so each hour, it is multiplied by 4. Then
[tex]y(t) = 300(4)^t[/tex]
(c) How many bacteria are there after 40 minutes?
40 minutes is 40/30 = 1.33 periods of half hour. So this is y(1.33).
[tex]y(1.33) = 300*(2)^{1.33} = 754[/tex]
write the word sentence as an equation 5 less than half a number x is 20. helps plzzz
Answer:
0.5x-5=20
Step-by-step explanation:
hope this helps
what grade is this for
Can somebody please answer my question
Answer:
x≥-6
Step-by-step explanation:
What is the y intercept of the line?
-3
1
5
-2
In horse racing, a trifecta is a type of bet. To win a trifecta bet, you need to specify the horses that finish in the top three spots in the exact order in which they finish. If eight horses enter the race, how many different ways can they finish in the top three spots
Answer: 336 different ways
Step-by-step explanation:
Ok, we have a total of 8 horses, and we have 3 places.
First, second, third.
The total number of combinations will be equal to the product of the number of possible options that we have in each place.
For the first place, we could have any of the 8 horses, so there are 8 possible options.
For the second place, we will have 7 horses (because one is already in the first place) then here we have 7 options.
For the third place, we will have 6 horses (because one is in the first place and another is in second place) then here we have 6 options.
The total number of different ways in which the horses can finish is:
C = 8*7*6 = 336 different ways
4(10-x)=40-4x is one solution
Answer:
( -infinity, infinity)
Step-by-step explanation:
any value of x is true
The graph shows the distance you and your friend drive on a trip. Find the slope of your line. For your answer, just type the number. *
Answer:
there is no picture
Step-by-step explanation:
im sorry
. The function is shown belo [tex]y=2^x[/tex] If the function is translated 4 units up, which of the following will represent the y-intercept and the equation of the horizontal asymptote of the translated function?
Answer: (0,5); y= 4
Step-by-step explanation:
from the set 1/2/3/4/5 which values make the inequality n + 1 > true?
Hi there!
To make n+1>4 true, you must have n be a numebr greater than 3...
The reason why is because if it is less than 3 or 3, it’ll have to be <.
The two numbers that can make this equation true is 4 and 5...
[tex]4+1=5>4[/tex]
[tex]5+1=6>4[/tex]
And if it is 1,2, and 3 it would be:
[tex]1+1=2<4[/tex]
[tex]2+1=3<4[/tex]
[tex]3+1=4=4[/tex]
answer please due today
Answer:
Part a: A
Part b: B
Step-by-step explanation:
a) A
10% of 895 = 0.1 × 895 = 89.5
b) B
135 ÷ 10% = 1350
Find the values of the variables in parallelogram ABCD
x=4 y=1
Step-by-step explanation:
Solve for x and y. Please help, I will mark as brainliest and give many points
Answer:
x=13 y=25
Step-by-step explanation:
Answer:
x = 30°, y = 45°, w = 14√2, v = 7√2Step-by-step explanation:
ΔABC has AB = 2BC, hypotenuse is twice the leg
⇒ x = 30°ΔBCD is isosceles right triangle
⇒ y = 45°ΔMPN is isosceles right triangle (∠M = 45°)
⇒ w = MN = √2PN = 14√2ΔMKP is isosceles right triangle (∠M = 45°)
v= KP = MK = 1/2MN = 1/2(14√2) = 7√23x + 2x – x + 2x² + 4
Answer:
Step-by-step explanation:
Combine like terms, in this case there is only x
[tex]3x+2x-x+2x^2+4\\4x+2x^2+4\\2x^2+4x+4\\2(x^2+2x+2)[/tex]
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1.
Answer:
I don't know how I can help you but I found this from another person. Hope this helps!
Answer:
The answer is b
Step-by-step explanation:
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1.
Help me out , please I forgot how to do this mathematics
Answer:
C
Step-by-step explanation:
sorry if I'm wrong-
Help, ill give brainliest to those who answer first and those who answer accurately
Answer:
d
Step-by-step explanation:
3X^2+3 and 4x^2-1 Enter your answer in simplest form in the boxes.
Answer:
(12) (x^4) (2)
Hope it helps.
Step-by-step explanation:
(3x^2 + 3) (4x^2 - 1)
(3 x 4) (x^2 X x^2) (3 - 1)
(12) (x^4) (2)
Prove that 17^16+17^14 is divisible by 5
We'll use the exponent rule that a^(b+c) = a^b*a^c
to break up 17^16 into 17^(14+2) = 17^14*17^2
That allows us to factor like so
17^16+17^14
17^14*17^2+17^14*1
17^14(17^2 + 1)
Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.
Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290
Because 290 ends in a 0, this means that 5 is a factor
290 = 5*58
This makes 5 to be a factor of the original expression.
----------------
So overall,
17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58
The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.
Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.
Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.
(6x - 3y) -2(x + 4y)
Answer:
4x-11y
Step-by-step explanation:
How to solve your question
Simplify
(6−3)−2(+4)
(6x-3y)-2(x+4y)
(6x−3y)−2(x+4y)
Distribute
(6−3)−2(+4)
(6−3)−2−8
Eliminate redundant parentheses
(6−3)−2−8
6−3−2−8
Combine like terms
6−3−2−8
4−3−8
Combine like terms
4−3−8
4−11
Can someone help me please help pls thank you so much
Answer:
B
Step-by-step explanation:
To answer this question, you simply have to keep track of the numbers given and make sure that there is an 'X' for each number where it belongs. By looking at the line plots, we can say that the answer is:
Chart B
Hope this helps :)
please help guys, this is due today.
Answer:
-0.58 is the answer
Step-by-step explanation:
Find the equation of the line with slope –5/2
and y-intercept (0,0).
Answer:
y= -5/2X
.....................
I will give 15 points and brainliest for this answer
A $250 Suede Jacket is on sale for 20% off. How much should you pay for the jacket?
Answer:
If the jacket is on sale for 20% off, you are paying 80% of the price.
So, 0.8(250), which is 200 dollars.
Let me know if this helps!
Answer:
$200
Step-by-step explanation:
First you have to figure out how much 20% is. (Its $50) So now, all you have to do it 250-50 which is $200
Find the scale factor from polygon ll to polygon lin the following figures. 9 150° 150° 3 6 6 2150° 150° 2 60° I 60° 60° II 60° 2 150° 150° 2 6 6 150° 150° 3 9