Answer:
Choice D
Step-by-step explanation:
If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².
Answer:
Answer: D 12,16,20
Step-by-step explanation:
The Pythagora's Theorem
On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:
[tex]a^2+b^2=c^2[/tex]
The set {a,b,c} is often called a Pythagorean Triple.
Testing every option:
A
[tex]5^2+8^2=10^2[/tex]
[tex]25+64 = 100[/tex]
89 = 100
Since equality is false, 5,8,10 are not the side lengths of a right triangle.
B
[tex]3^2+5^2=7^2[/tex]
[tex]9+25 = 49[/tex]
34 = 49
Since equality is false, 3,5,7 are not the side lengths of a right triangle.
C
[tex]6^2+11^2=13^2[/tex]
[tex]36+121 = 169[/tex]
157 = 169
Since equality is false, 6,11,13 are not the side lengths of a right triangle.
D
[tex]12^2+16^2=20^2[/tex]
[tex]144+256 = 400[/tex]
400 = 400
Since equality is true, 12,16,20 could be the side lengths of a right triangle.
Answer: D 12,16,20
three less than the sum of a number and
twelve
Answer:
(x + 12) - 3
Step-by-step explanation:
I used x for "a number".
Hope this helps and pls do mark me brainliest:)
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
Answer:
At 43.2°.
Step-by-step explanation:
To find the angle we need to use the following equation:
[tex] d*sin(\theta) = m\lambda [/tex]
Where:
d: is the separation of the grating
m: is the order of the maximum
λ: is the wavelength
θ: is the angle
At the first-order maximum (m=1) at 20.0 degrees we have:
[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]
Now, to produce a second-order maximum (m=2) the angle must be:
[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]
[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]
Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.
I hope it helps you!
The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
what is the common factor between 536 and 10
Answer:
im pretty sure it is 2
Step-by-step explanation:
Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
5
O A. x = 1 / ²
O B. - *
O c. y - 1²
D. x - - 1 / 2
0
Based on the graph, an equation which could be the equation of this parabola is x = -5y².
How to find the equation of a parabola.
Mathematically, the general equation of a parabola is given by:
[tex]y = a(x-h)^2 + k \\\\ x= a(y-k)^2 +h[/tex]
Where:
h and k represents the vertex.Also, the standard equation of a regular parabola is given by:
y = x²/4a
Note: The vertex for this parabola is at the origin (0, 0).
Based on the graph, an equation which could be the equation of this parabola is x = -5y².
Read more on parabola here: https://brainly.com/question/25651698
Calleigh puts 5 nickels into an empty hat. She
wants to add enough pennies so that the probabil-
ity of drawing a nickel at random from the hat is 1/6
How many pennies should she put in?
Mixed in a drawer are 2 blue socks, 8 white socks, and 6 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color.
Answer:
6/16
Step-by-step explanation:
Write them out bb wwwwwwww gggggg
there are 16 in total so it would be 6/16 because of each color like bb ww gg thats 6 out of 16
The probability of getting 2 socks of the same color is 1/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
In the drawer,
Number of blue socks = 2
Number of white socks = 8
Number of gray socks = 6
Total number of socks = 2 + 8 + 6 = 16
The Total ways to select 2 socks form 16 socks is 120.
The Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks = 40
The probability of getting 2 socks of the same color is
= 40/120
= 1/3
Therefore, the probability of getting 2 socks of the same color is 1/3.
Learn more about probability here;
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What is the approximate ratio of the difference in means to the MADs of the data sets? 4 6 7 31
Answer: The answer is 6
Step-by-step explanation:
Edginuity
Answer:
B: 6
Step-by-step explanation:
edg2020
If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
What is the horizontal distance from the origin to the point 2,9
Answer:
2
Step-by-step explanation:
The x-coordinate of point (2, 9) is 2.
The distance from 0 to 2 on a number line is 2.
Answer: 2
Sidra is building a birdhouse. She drills a hole with a drill bit and tries to find a corresponding screw. The 1/4 inch screw is too big, and the 1/8 inch screw is too small. Which of the following could be the size of the drill bit Sidra used? 1/2 inch, 3/16 inch, 5/16 inch, 4/32 inch, or 8/32 inch
Jean paid $26 for a pair of pants and $19 for a blouse. How much more did she pay for the pants than for the blouse?
Answer:
$5 More
Step-by-step explanation:
$26 - $19 = $5
Answer:
She paid $7 more
In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above
find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.
Answer:
401
Step-by-step explanation:
301 + 73 + 27
Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.
Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.
301 + 73 + 27 =
= 301 + (73 + 27)
= 301 + 100
= 410
solve
the following linear Equations
152x-378y=-74
-378x+152y=604
Answer:
x=2& y=1
Step-by-step explanation:
check it out
whether answer is correct or not
-2x + y = 1
7x - y = -1
-8x+y
9-y
this is the answer because it is
Answer:
i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions
Step-by-step explanation:
first equation:
y=2x+1
x intercept:(-1/2,0)
y intercept: (0,1)
second equation:
y=7x+1
x intercept:(-1/7,0)
y intercept: (0,1)
hope this helps pls mark brainliest this took me a long time to do :)
A package of 6 pairs of insulated gloves cost $45.54. What is the unit price of the pairs of gloves?
ASAP PLEASE
Answer:
7.59 dollars is the unit price
Step-by-step explanation:
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Answer: 3.75
Step-by-step explanation:
8 apples = $6
4 apples = $3
2 apples = $1.5
1 apple = 0.75
3 +.75= 3.75
Answer:
3.75
Step-by-step explanation:
8/6 is 75 cents 8-3 is 5 75 cents x 5 3.75
Write an equation for the line in the given form.
Contains the points (2,8) and (3, 11); slope-intercept form
Answer:
y = 3x + 2
Step-by-step explanation:
y=mx+b is slope intercept form
to find slope (m):
y2-y1/x2-x1 = 11-8/3-2 = 3
your slope is 3 so 3x
to find the y-intercept (b):
plug in y and x from either of the two points
(2,8)... 8=3(2)+b and solve for b which equals 2
so final equation is y=3x+2
what is the value of f(x)=3x-4 if x = -4?
Answer:
-16
Step-by-step explanation:
when x = -4
f(-4) = 3(-4) - 4 = -16
Answer:
f(-4)=3(-4)-4
f(×)=48
If x is the principal square root of 7, what must be true?
Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?
Answer:
Percentage decrease= 21.86%
Step-by-step explanation:
Giving the following information:
Selling price per unit= $2.65
Current variable cost= $0.82
Increase in variable cost= $0.4
To calculate the unitary contribution margin, we need to use the following formula:
Unitary contribution margin= selling price - unitary variable cost
Unitary contribution margin= 2.65 - 0.82
Unitary contribution margin= $1.83
New contribution margin= 2.65 - 1.22
New contribution margin= $1.43
Finally, the percentage decrease:
Percentage decrease= [1 - (1.43/1.83)]*100
Percentage decrease= 21.86%
a 38.6 kg is a marble slab is shown above. what is the density
The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.
Solution :
Given
The mass of the marble slab, m = 38.6 kg
= 38600 g
Length, l = 23 cm
breadth , w = 17 cm
Thickness, h = 4 cm
Therefore, volume of the slab is V = 23 x 17 x 4
= [tex]$1564 \ cm^3$[/tex]
We know,
[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]
= [tex]$\frac{38600}{1564}$[/tex]
= [tex]$24.7 \ g/cm^3$[/tex]
please help! due in less than 20 minutes!
Answer:
1. -8 feet= 8 feet
-2 feet= 2 feet
2. Jordin’s balance is a debt of MORE than 27$
3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.
Hope this helps hun! Good Luck!
Your last doctor visit cost $105 health insurance through your employer pay $84 and you pay the remaining $21 what percentage of the cost if you pay
Answer:20% percentage of the cost you pay .
Step-by-step explanation:
Formula
As given
Your last doctor’s visit cost $105.
Health insurance through your employer paid $84, and you paid the remaining $21.
Part value = $21
Total value = $105
Put all the values in the formula
Percentage = 20%
Therefore the 20% percentage of the cost you pay .
Answer: 20%
Step-by-step explanation:
Can someone answer number 1? It’s a picture on top
Math HELP PLEASEE URGENT NOWWWWWW MATH!!!!
Answer:
A
Step-by-step explanation:
Answer is the first choice. you can tell by the notation.
Answer:
is A
Step-by-step explanation:
Because i now how do this
the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area
Answer:
20 square inches
Step-by-step explanation:
Set width of sign to x.
Set length of sign to y.
5x=y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
width = 2 inches
length = 10 inches
Area = 20 square inches
PLEASE GIVE BRAINLIEST
The area of the rectangular sign will be 20 square inches
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.
The area of the rectangle will be calculated as follows:-
5x = y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
The area of the rectangle:-
width = 2 inches
length = 10 inches
Area = 20 square inches
Therefore, the area of the rectangular sign will be 20 square inches.
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I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.
Find the slope on the like exain or show your reasoning
write and equation for the line.
find the values for A and B. Explain your reasoning.
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
[tex] y = 2x + (-2) [/tex]
[tex] y = 2x - 2 [/tex]
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
[tex] 8 = 2(a) - 2 [/tex]
[tex] 8 = 2a - 2 [/tex]
Add 2 to both sides
[tex] 8 + 2 = 2a [/tex]
[tex] 10 = 2a [/tex]
Divide both sides by 2
[tex] \frac{10}{2} = a [/tex]
[tex] 5 = a [/tex]
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
[tex] b = 2(4) - 2 [/tex]
[tex] b = 8 - 2 [/tex]
[tex] b = 6 [/tex]
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) (8.99)3 using differentials
Answer:
726.572699
Step-by-step explanation:
According to differentials
(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)
Using this formula to solve (8.99)³, this can also be written as;
(8.99)³ = (9-0.01)³ where
x = 9
Δx = -0.01
Substitute this vales into the differential expression above
(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³
(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 726.572699
Hence 8.99³ = 726.572699 (Using differential)
Using calculator;
8.99³ = 726.572699