Answer:
B
Step-by-step explanation:
The length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple is 29.
What is Pythagorean triples?Pythagorean triples are represented as the triple (a, b, c) where a represents the perpendicular side, b represents the base and c represents the hypotenuse.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
c² = a² + b²
Here a = 20, b = 21 and c = x.
x² = 20² + 21²
x² = 841
x = √841 = 29
Hence the length of the hypotenuse, x, is 29.
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Hannah has 3 places to hang pictures on her wall.she has 6 possible pictures all together. How many possible arrangements of pictures can she hang?
The number of possible arrangements of pictures she can hang on her wall is 120.
How many possible arrangements of pictures can she hang?
The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.
Number of possible arrangements = 6! / 3!
( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120
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Observations that deal with descriptions that cannot be expressed with numbers are called?
Answer:
rrrrrrrrrrrtuuuuuuuuuuuuuuuuu
Step-by-step explanation:
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. What belongs in cell A?
Answer: 96 teaspoons
Step-by-step explanation:
If 1 cup contains 16 tablespoons the 2 cups will contain;
= 16 * 2
= 32 tablespoons
If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;
= 32 * 3
= 96 teaspoons
Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.
Answer:
1.10
Step-by-step explanation:
that's your answer
The location of the tug boat relative to the port will be 30.83 miles.
What is trigonometry?Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles.
The distance of ship A from the port is x
X²= 18²+30²
X²= 324+900
X²=1224
X=34.9857 miles
Bearing from port:-
Tanθ= 18/30
θ = tan^-1 3/5
θ= 31°
N 31° E
The distance of ship B from the port is y.
Y²= 27²+10²
Y²= 729+100
Y²= 829
Y=28.7924 miles
Bearing from port:-
Tanθ = 2.2
θ = 69.7°
90-69.7= 20.3
N 20.3°W
The distance between the two ships is z.
Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)
Z²= 2053+267.1
Z²= 2320.1
Z=48.18 miles
One-fifth of 48.18
=9.63 miles
The distance of the boat is D.
D/sin 60 = 34.9857/sin 100.7
D=30.83 miles
Therefore, the location of the tug boat relative to the port will be 30.83 miles.
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write the roster from of
{ x:x is a factor of 42 }
Answer:
the correct answer is
{2,3,6,7,14,21,}
-2(4n-8) helphelphelp
Answer:
-8n+16. You can also put 16-8n
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the
meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
Answer: D: 24 + 12R ≥ 100
Please Help Me!!!!!!!
20. What is the least amount of principal you can invest at an 8% interest rate to earn at least $1000 in interest in 3 years?(Round your answer to the nearest dollar.)
A. $240
B. $5167
C. $20000
D. $4167
E. $6367
F. cannot be determined
Answer:
F. cannot be determined
Step-by-step explanation:
not enough information
The students plan to eat lunch at a park. Each table can only seat 6 stud
If there are 48 students, how many tables are needed?
Answer:
They would need 8 tables.
Step-by-step explanation:
if there is 6 students on one table
6. 6. 6. 6+6+6+6+6+6+6+6= 48
6. 6. 6×8= 48 students
6. 6. 6.
The cost C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?
Answer:
20=n
Step-by-step explanation:
Take 385 and subtract 85. You get 300. Divide 300 by 15n. You get 20.
20=n
If you want to double check, replace n with 20 so the equation is
C=(15x20)+85
Hope I help!
What is the additive inverse of 3x+4
Answer: y = (x - 7)/3
Step-by-step explanation:
Match the vocabulary to the correct operation PLZ ANSWER:(
Plz help me I’m md lost rn!
Answer:
6.4 km
Step-by-step explanation:
4x1.6
Answer:
6.4 km
Step-by-step explanation:
1.6 * 4 = 6.4
An emu that measures 22 inches in height is 14 inches less than 2 times the height of a stuffed toy canary. What is the height of the stuffed toy canary? Jesus thinks the height of the canary is 18 inches. Is this true or false?
Answer: The height of the stuffed toy canary is 18 inches so Jesus is right.
Step-by-step explanation:
We can represent the first statement by the equation 22= 2x - 14 where x is the height of the stuffed toy canary so solve for x
22 = 2x -14 Add 14 to both sides
+14 +14
36 = 2x Divide both sides by 2
x = 18
Jesus is right.
The median of 32,,21,60,3,5,17
Answer:
19
Step-by-step explanation:
4 cm
1
1
1
1
1
4 cm
/
5 cm
What is the volume of the solid?
Answer:
I don't know what you are asking.
Plzzz help !!!!!! Plzzzz
PLEASE HELP!! ASAP NOWWWW Two races that a student runs every year are the 1492-mile race in his hometown and the -meter race in his college town. Complete parts (a) through (d) below.
Answer:
College town race is 31% of the home town race.
Step-by-step explanation:
Length of hometown race = 3 miles
Length of college town race = 1492 meters
Since 1 meter = 0.0006214 miles
Therefore, 1492 = 0.93 miles
Percentage of college town race to the hometown race,
= [tex]\frac{\text{College town race}}{\text{Home town race}}\times 100[/tex]
= [tex]\frac{0.93}{3}\times 100[/tex]
= 31%
Therefore, the college town race is 31% of the home town race.
1. GIVE ANOTHER NAME FOR CM?
Answer:
decimetre is the answer
What is the absolute value of 9?
Answer:
the absolute value of 9 is 9
What is the product of (-6)(-7)(-1)
142
0 14
0 42
Answer:
-42
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
(-6)(-7)(-1)
Step 2: Multiply -6 and -7 together
(-6)(-7) = 42
Step 3: Multiply 42 and -1 together
42(-1) = -42
2[( 62 -52) + 4]
Need help
Answer:
28
Step-by-step explanation: USE PEDMAS
2[(62-52)+4] = 2[(10)+4]= 2[14]=28
Solve for r:
B=dPIEr^2
Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]B=d\pi r^2[/tex]
And we want to solve for r.
So first, isolate the r variable. Divide both sides by dπ. So:
[tex]\frac{B}{d\pi}=\frac{d\pi r^2}{d\pi}[/tex]
The right side cancels:
[tex]\frac{B}{d\pi}=r^2[/tex]
Take the square root of both sides:
[tex]r=\sqrt\frac{B}{d\pi}[/tex]
We can rearrange the terms:
[tex]r=\sqrt\frac{B}{\pi d}[/tex]
Our answer is C.
what is 327 divided by 55
Answer:
[tex]5\frac{52}{55}[/tex]
Step-by-step explanation:
[tex]\frac{327}{55}=5\quad \mathrm{Remainder}\quad \:52\\\\\mathrm{Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor}}\\\\\frac{327}{55}=5\frac{52}{55}\\\\5\frac{52}{55}[/tex]
7. Solve: 33 +21 + 3 - 5
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Step 1:
33 + 21 + 3 - 5
Step 2:
54 + 3 - 5
Step 3:
57 - 5
Answer:
52
Hope This Helps :)
Someone pls help it’s a very short question!!!
(dont judge me I forgot)
Answer:
12.) 13 008 13.) 4 069 604
Answer:
12) 13008
13) 4069604
Step-by-step explanation:
Problem 12)
10000+ 3000 + 8 = 13008
Problem 13)
4 x 1000000 + 6 x 10000 + 9 x 1000 + 6 x 100 + 4 x 1 =
4000000 + 60000 + 9000 + 600 + 4 = 4069604
Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64
Answer:
A) reflection over the x-axis, plus a vertical translation
Answer:
A
Step-by-step explanation:
EDGE 2020
ILL GIVW YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!!! SHOW WORK
my - 2x
m=3 , y=6 , x = 8
Answer:
2
Work is shown in picture
Write an equation that has a slope of 2 and goes through the point (2, 1).
Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:
[tex]y-1=2(x-2)[/tex]
Distribute the right:
[tex]y-1=2x-4[/tex]
Add 1 to both sides:
[tex]y=2x-3[/tex]
And that's our equation.
And we're done!
solve the equation (5x-7)(-3x+2)
Answer:
[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]
Step-by-step explanation:
(5x - 7)(-3x + 2)
The values inside of the parenthesis cannot be simplified, so distribute and multiply.
Distribute
(5x - 7)(-3x) + (5x - 7)(2)
Multiply
-15x² + 21x + 10x - 14
Add 21x to 10x
-15x² + 31x - 14
[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]
Hope this helps :)