What is the length of the unknown side of the right triangle?
A right triangle with hypotenuse x and legs 5 and 12
13
17
25
60
Answers
Answer:
13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.
Substitute 5 in for a, 12 for b, and x for c.
[tex]5^2+12^2=x^2[/tex]
Evaluate the exponents.
5^2 is the same as 5*5, which is 25.
12^2 is the same as 12*12, which is 144.
[tex]25+144=x^2[/tex]
Add 25 and 144
[tex]169=x^2[/tex]
We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.
[tex]\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x[/tex]
The hypotenuse is 13.
So the right answer is 13.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Related Questions
Li bought his dog Spot a huge bone. Spot chews 4 inches off the bone every day. What number describes the change in the length of the bone after 3 days?
Answers
Answer:
4 x 3 = 12
12 is the answer. Have a great day
Step-by-step explanation: Brainliest please
Find the 8th term in the sequence
-1/2, -1, -2, -4......
Answers
Answer:
-64
Step-by-step explanation:
geometric
equation
a1(r)^n-1
-1/2(2)^8
Given sequence is -1/2, -1, -2, -4,...
We get,
a1 = -1/2
r = 2
n = 8
So,
a8 = a.r^(n-1)
a8 = -1/2 * 2^(8-1)
a8 = -1/2 * 2^7
a8 = -1/2 * 128
a8 = -64
Therefore, 8th term of the sequence is -64
What is geometric sequence example?
A common ratio multiplied to each term to get the next term is a non-zero number is a geometric sequence. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, … , where the common ratio is 2.
What are the types of sequences?- Arithmetic sequences
- Geometric sequences
- Quadratic sequences
- Special sequences
Learn more about Sequence & Series here
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Tell whether each set of events is independent or dependent (problems 1 - 4).
1. The teacher randomly selects two students from the class.
2. You roll a 3 on a number cube and choose a 3 from a deck of cards.
3. Pick "Joe" from a box of names, replace it, and then pick "Craig".
4. Pick "Joe" from a box of names, set it aside, and then pick "Craig".
Answers
Answer:
1 dependent
234 independent
Step-by-step explanation:
What is the first step to solve this equation: 3x =44
Answers
You need to divide 3 on both sides
The correct first step to solve the equation 3x = 44 is to divide both sides by 3.
To solve the equation 3x = 44, the first step is to isolate the variable x on one side of the equation.
To achieve this, you need to undo the multiplication by 3 on the left side of the equation.
Since 3x means 3 multiplied by x, you need to divide both sides of the equation by 3.
By dividing both sides of the equation by 3, you are essentially canceling out the effect of the multiplication by 3 on the left side.
This step allows you to isolate the variable x.
So, the correct first step to solve the equation 3x = 44 is to divide both sides by 3.
Hence the correct option is 4th.
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What is the area of triangle DEF?
2 StartRoot 2 EndRoot square units
2 StartRoot 14 EndRoot square units
6 StartRoot 22 EndRoot square units
12 StartRoot 77 EndRoot square units
The answer is B
Answers
Answer:
B. [tex]2\sqrt{14}[/tex]
Step-by-step explanation:
Plug it in Heron's formula.
Answer:
2 StartRoot 14 EndRoot square units
Step-by-step explanation: i just did it :)
omer selects
Mel's Sandwich Shop
Bread
White
Wheat
Sandwich Bun
Pita
Filling
Ham
Roast Beef
Tuna Fish
Turkey
Cheese
American
Provolone
Pepper Jack
No Cheese
Condiments
Ketchup
Mayonnaise
Mustard
No Condiment
Vegetables may be added free of charge at the self-serve veggie station.
Make your lunch sandwich into a combo platter for an additional $1.00!
1. How many different sandwiches can you make from the choices on the menu board?
2. The sandwich shop has several customers that are vegetarians. In place of the fillings
listed on the menu, the sandwich shop uses a vegetable spread on these orders. How
many different vegetarian sandwiches can you make from the choices on the menu
board?
Lunch special: $3.75
Use the menu board to answer the questions.
whes into
Answers
Answer:
3. .75 :) your welcome I did awesome
Please help ASAP!!! Algebra question in pictures
Answers
Answer:
2nd one
Step-by-step explanation:
Sebastian has 50 marbles in a bag. 20% of the marbles are green. How many marbles are green?
Answers
Answer: 10
Step-by-step explanation:
50 divided by 10 is 5
10%=5
20%=10
Answer:
10 marbles are green
Step-by-step explanation:
Let me explain.
Using price×rate= amount
you do 50x20%= 10. This means that out of the 50 marbles
only 10 are green.
((2ab)/(a ^ - 5 * b ^ 2)) ^ - 3 Which is the simplified form Assume a ne0 b ne0
Answers
Answer:
The correct options is (a)
The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given as follows:
(2ab/a⁻⁵b²)⁻³
= [(2ab) / (a⁻⁵b²)]⁻³
Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator
= [(2a.a⁵b) / (b²)]⁻³
Combine the coefficients 1 and 5 to get
= [(2a⁶) / (b)]⁻³
= 1/[(2a⁶) / b]³
= 1/[(2a⁶)³ / b³]
Cube the resulting expression to get
= b³/8a¹⁸
Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.
Hence, the correct answer is option A.
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A). What is the volume of the below triangular prism?
B.) What is the surface area of the below triangular prism?
Solution:
Answers
1/2(8)(3)=12
1/2(8)(3)=12
(8)(12)=96
(8)(12)=96
(8)(12)=96
12+12+96+96+96=312cm
Answer:
The surface area
Step-by-step explanation:
1/2(8)(3)=12
1/2(8)(3)=12
(8)(12)=96
(8)(12)=96
(8)(12)=96
12+12+96+96+96=312cm
The height of a parallelogram is 6.5 cm.
The base is 13 cm. What is the area of the
parallelogram?
Answers
Area of parallelogram = base × height
Area = 6.5 × 13 = 84.5 cm²
[tex]area = base \times height \\ area = 13cm \times 6.5cm \\ area = 84.5cm {}^{2} [/tex]
Answer fast 50 points
Answers
Answer:
im pretty sure its b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When x < 1, y = 1, which is a horizontal line. This eliminates the last 2 options because the red line (which represents x < 1) is not a horizontal line. However, if we look at the second option, we see that the red line is y = 2, not y = 1, and therefore the answer is A. Hope this helps!
Graph the equation h=3sin (pi/2(t+2)+5
Answers
Answer: The answer is in the image below.
Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3?
1,-1
3,-3
-2,2
-6,6
Answers
Answer:
The coordinate B' is [tex]B' = (3, -3)[/tex].
Step-by-step explanation:
The new coordinate is computed by applying the scale factor with respect to origin:
[tex]B' = \alpha \cdot B[/tex]
[tex]B' = 3\cdot (1,-1)[/tex]
[tex]B' = (3\cdot 1, 3 \cdot (-1))[/tex]
[tex]B' = (3, -3)[/tex]
Answer:
B) 3,-3
Step-by-step explanation:
Rewrite [tex]\frac{2}{x^{2}-x-12 } and \frac{1}{x^{2}-16 }[/tex] as equivalent rational expressions with the lowest common denominator.
Provide your answer below:
___ , ___
Answers
Answer:
2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
Step-by-step explanation:
Factor x^2-x-12: (x+3)(x-4)
Factor x^2-16: (x+4)(x-4)
So, LCD would be (x+3)(x-4)(x+4)
Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
I hope this helped and have a good rest of your day!
Photo above no work needed just the answer thank you
Answers
Answer:
Step-by-step explanation:
1.1,0,-1,-2,-3,-4
2. The distance is 5 points
The black line is the graph of y= x. Which of these
equations could represent the blue line?
yt
y = 0.001x
y = 2x
y = -x
y = 1/2x
Answers
HELP ILL MARK YOU AS BRAINILIEST
Answers
Answer:
D
Step-by-step explanation:
rise over run!
Answer:
I'm not sure what the answer is. This app is on my mom's phone and it's late. If you have any questions starting Monday I can help you then
Stephanie and Susan were counting the money from their lemonade stand Stephanie sold 4 times more glasses of lemonade than Susan. Together they sold 50 glasses of lemonade. How many glasses of lemonade did each person sell?
steps ?!
Answers
Answer
Stephanie sold 40 glasses while Susan sold 10 glasses
Step-by-step explanation:
Stephanie sold 4 times more glasses than Susan, overall of 50 glasses
637-627(629)=(93+52)-(-6376-x)
Answers
Answer:
uhh maybe 3 1/2 im not sure
Step-by-step explanation:
21 is 71%, of what number
Answers
Answer:
29.58
Step-by-step explanation:
because 21 times 39= 29.58
Answer:
29.57746479 = N
Step-by-step explanation:
Is means equals and of means multiply
21 = 71% * N
21 = .71 N
Divide each side by .71
21/.71 = .71N/.71
29.57746479 = N
find the distance between the two points PICTURE ABOVE
Answers
Answer:
[tex]\sqrt 40[/tex]
Step-by-step explanation:
Divide the number of meters by______ to find the number of laps?
Answers
Answer: Please include more information, for now this is indeterminable
Step-by-step explanation: Sorry, add more info and I will be sure to answer
How many different fractions less than one can be made with these numbers 6 1 5 8 4 make sure you list the fractions
Answers
Answer:
We reorder them and see how many fractions we can make.
1/4 1/5 1/6 1/8
4/5 4/6 4/8
5/6 5/8
6/8
We see there are 10 fractions made in total
Step-by-step explanation:
sos please help me......
Answers
Answer: 170
Step-by-step explanation:
Hemisphere volume formula
V = (2/3)πr3
(2/3)•(3.14)•(2.5)^3=32.7 (33)
Cylinder volume formula
V=πr^2h
(3.14)(2.5)^2(7)=137.4 (137)
137+33=170
The triangles shown are
congruent.
What is a correct congruence
statement for the triangles
shown?
HELP ASP PLS I WILL GIVE YOU THE POINTS !!!
Answers
Answer:
MCW
In order to find it you want to make sure the letters go in the exact same order.
Answer:
MCW
Step-by-step explanation:
6x2 - 21 = 33; Solve and what are the x-intercepts of this quadratic equation ?
Answers
6x^2 - 21 - 33 = 0
6x^2 - 55 = 0
x^2 - 9 = 0
(x-3)(x+3) = 0
x - 3 = 0
x + 3 = 0
x1 = -3
x2 = 3
What is the difference between a minor and major arc of a circle?
Answers
Answer:
Hi there!
Given two points on a circle, the minor arc is the shortest arc linking them. The major arc is the longest.
A square pyramid has a base area of 25 square inches, and a volume of 150 cubic inches. What is the height of the pyramid in inches?
Answers
Answer:
Step-by-step explanation:
How many degrees is x?
32°
58°
64°
90°
How many degrees is y?
32°
58°
64°
90°
Answers
the value of X is 58 degree.
The value of y is 32 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment