As we know that,
Pythagoras triplet
1) a² + b² = c²
Let
[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]
[tex]\sf \: 4 + 4 = 16[/tex]
8 ≠ 16Hence, A can't be Pythagoras triplet2) a² + b² = c²
[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]
[tex]\sf \: 25 + 144 = 169[/tex]
169 = 169Therefore, B can be Pythagoras triplet3)a² + b² = c²
[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]
[tex]\sf 9 + 25 = 36[/tex]
34 ≠ 36Hence, C can't be Pythagoras triplet4) a² + b² = c²
[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]
[tex]\sf \: 25 + 16 = 49[/tex]
41 ≠ 49Hence, D can't be Pythagoras tripletTherefore :-Only B can be Pythagoras triplet.
What language your figure the thunder rose
Answer: ok buddy
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
pls help math!!!!!!!!!!!!
Answer:
A) 1000/1 = x/2500 is the answer
According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of proportions, (b) relative risk. Which measure is more useful for describing the strength of association
Answer:
[tex]P_D=61.1*10^{-4}[/tex]
[tex]R_r=480[/tex]
Step-by-step explanation:
From the question we are told that
Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]
Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]
Generally the equation for probability of homicide is mathematically given as
[tex]P=\frac{R}{10^6}[/tex]
Generally the equation for probability of homicide in US is mathematically given as
[tex]P_U=\frac{62.4}{10^6}[/tex]
[tex]P_U=62.4*10^{-4}[/tex]
Generally the equation for probability of homicide in Britain is mathematically given as
[tex]P_B=\frac{1.3}{10^6}[/tex]
[tex]P_B=1.3*10^{-5}[/tex]
a)Generally the difference b/w the probabilities P_D is mathematically given as
[tex]P_D=P_U-P_B[/tex]
[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]
[tex]P_D=61.1*10^{-4}[/tex]
Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's
b)Generally the Relative risk is R_r is mathematically given as
[tex]R_r=\frac{P_U}{P_B}[/tex]
[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]
[tex]R_r=480[/tex]
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
△RST is shown below. XU = –2y + 15 and XW = 3y + 5.
PLEASE HELP ME
The required measure of the radius inscribed in the triangle RST is 11.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2
Now,
Radius = XU
= -2(2) + 15
= 11
Thus, the required measure of the radius inscribed in the triangle RST is 11.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples is a bushel of large apoles, how many small apples are in 1 lb of apples?
Answer: 4 apples in 1 lb
Step-by-step explanation:
Since there are twice as many apples as large apples, you would multiply
2 x 84 = 168
To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.
168/42=4
Therefore, there is 4 apples in 1 lb.
Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)
Have a nice day! :)
I need help plss dont lieplss and thank you
Answer:
B or C
hope this helps :)
4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.
What is the total weight, in pounds, of the fruit that Shawn bought last week?
Answer:
not sure but i think it should be 10.54
13/x = 6/20 solve for x
The correct answer is
[tex] = \frac{130}{3} [/tex]
helppppppppppppppppppppppppppp
Help someone please
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?
Given:
The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]
Length of the rectangle RSTU = [tex]4x+5[/tex]
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
[tex]36x^2+25x-25[/tex]
Splitting the middle term, we get
[tex]=36x^2+45x-20x-25[/tex]
[tex]=9x(4x+5)-5(4x+5)[/tex]
[tex]=(4x+5)(9x-5)[/tex]
We know that, the area of a rectangle is
[tex]Area=Length \times width[/tex]
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
the measures of the angles of a triangle are shown in the figure below solve for x 46° 2x+20° 72°
Answer:
x = 21
Step-by-step explanation:
Add all the angles to get 138 + 2x = 180. Subtract 138 to get 2x = 42. x = 21
Answer:
x = 21
Step-by-step explanation:
Can I have brainliest?
The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?
Answer:
The population had a 400% increase
9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18
Answer:
it is b
Step-by-step explanation:
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
If gas costs $1.95 per gallon, how many whole gallons of gas could you buy with $36.00? (Make sure to answer with a whole number.)
2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference
A(n) = 2 - 1 + (n - 1)d
A(n) = a + (n - 1)d
A(n) = a + (n)(d - 1)
O A(n) = a + (n + 1)d
Answer:
A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.
Step-by-step explanation:
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
Which graph represents y = Two-thirdsx + 3?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (3, 1).
Answer:
c edge 2021;)
Step-by-step explanation:
What lines are perpendicular to 3x+6y=5
Answer:
u means that to make the equations
Answer:
the line on the point 1.2 and 4.5
Step-by-step explanation:
Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
Natalie bought a 3 - pack of erasers for $1.47. How much did each eraser cost?
Answer:
Each eraser costs $0.49
Step-by-step explanation:
If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.
1.47 ÷ 3 = 0.49
To prove this, you can multiple 0.49 by three.
0.49 × 3 = 1.47
Therefore, your answer will be $0.49 per eraser.
(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)
Answer:
$0.49
Explanation:
1.47 divided by 3 is 0.49.
°ω°
:⊃
°∨°
solve for e
3 + 8e + 5 = -3e +13 + 10e
⅛ ÷ 2
Please help! I need to remember this!
Answer:
1/16
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
For this type of problem, I do KCF (Keep, Change Flip)
⅛ ÷ 2
Keep the fraction (⅛)
Change the sign to a multiplication (×)
Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])
Now we have a new expression
[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]
Now we multiply from across
The numerator × Numerator
The denominator × denominator
1 × 1 = 1
8 × 2 = 16
Our answer will be....
[tex]\frac{1}{16}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!