Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?
Answers
Answer:
[tex] \huge{ \boxed{ \tt{17 \: cm}}}[/tex]
Option D is the correct choice.
☪ First , Let's know about right triangle , legs and hypotenuse :
A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.☥ Let's explore about The Pythagorean Theorem :
Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as : [tex] \boxed{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]------------------------------------------------------------
☯ Now , let's start to solve :
✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = 8 cm , b = 15 cm✑ [tex] \underline{ \underline{ \text{To\: Find}}} : [/tex]
Length of a hypotenuse ( c )✐ [tex] \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: : [/tex]
☞ [tex] \boxed{ \bold{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}}[/tex]
Substitute the known values :
↦ [tex] \sf{ {8}^{2} + {15}^{2} = {c}^{2}}[/tex]
↦ [tex] \sf{64 + 225 = {c}^{2} }[/tex]
↦ [tex] \sf{289 = {c}^{2} }[/tex]
↦ [tex] \sf{ {c}^{2} = 289 }[/tex]
Take the square roots of both sides :
↦ [tex] \sf{ \sqrt{ {c}^{2} } = \sqrt{289}} [/tex]
↦ [tex] \boxed{ \sf{c = 17 \: cm}}[/tex]
The length of the hypotenuse is [tex] \boxed{ \bold{ \text{17 \: cm}}}[/tex].
And we're done!!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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Related Questions
can you walk me through the steps
Answers
Answer:
x = 3 is the solution
Step-by-step explanation:
3x + 4 = 5x - 2
when x = 3
so plug 3 into the equation where x is
so the equation becomes:
3(3) + 4 = 5(3) - 2
Then do the multiplication on both sides
9 + 4 = 15 - 2
Then do the addition and subtracition on both sides
13 = 13
Answer:
3x +4= 5x-2
3(3) +4 = 5(3) -2 (plug in the x values)
9+4= 15-2 (do the multiplication on both sides)
13= 13 (do the addition/ subtraction. pretty much all you're doing, is making sure that with the given x-value, the equation is true. and it is :))
If sea level = 0, write an integer that represents 25 feet below sea level.
Answers
Answer: -25
Step-by-step explanation:
The required integer that shows that 25 feet below the sea level is -25.
Given that,
To determine the in integer that represents 25 feet below sea level.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The sea level is set to equal to 0,
Now height above the seal level comprises of positive sign, and the height below the sea level comprises of negative sign.
So, for 25 feet below sea level,
-25 is the required integer that represents the 25 feet below sea level.
Thus, the required integer that shows that 25 feet below sea level is -25.
Learn more about number line here:
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Using the given exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent. If there are fractions, you can input your answer as a fraction. i.e. - 4/5, or 1/10)
f(x)=200(4/5)^x
Answers
Answer:
Growth rate is -1/5
Growth factor is 4/5
Step-by-step explanation:
Here, we want to get the growth rate and the growth factor
Generally for an exponential function given as;
y = a(1 + r)^n
r is the growth rate
1 + r is the growth factor
We can express the given exponential function as follows;
f(x) = 200(1-1/5)^x
So the growth rate is -1/5
The growth factor is 1-1/5 = 4/5
Help me out pls? Namjesus will bless.
Answers
Answer:
y = 44
Step-by-step explanation:
Slopes of parallel lines are equal.
P(15, 7)
Q(20, 14)
[tex]m_{PQ}[/tex] = [tex]\frac{14-7}{20-15}[/tex] = [tex]\frac{7}{5}[/tex]
G(3, 2)
F(33, y)
[tex]m_{PQ}[/tex] = [tex]m_{GF}[/tex] = [tex]\frac{y-2}{33-3}[/tex] = [tex]\frac{7}{5}[/tex]
5(y - 2) = 7(30)
y - 2 = 42
y = 44
solve for x please i need help
Answers
Answer:
x = 4
Step-by-step explanation:
By exterior angle theorem:
(9x + 1)° + (11x - 2)° = (19x + 3)°
(9x + 1 + 11x - 2)° = (19x + 3)°
(20x - 1)° = (19x + 3)°
20x - 1 = 19x + 3
20x - 19x = 3 +1
x = 4
it takes you 45 minutes to drive the 30 miles from your house to the mall. How long will it take you drive the 75 miles to the beach?
Answers
Answer:
45/30 = 1.5 minutes per mile
75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)
Step-by-step explanation:
Answer:
1 hour and 52.5 minutes
Step-by-step explanation:
double the miles and minutes then half both of them
You have 2 buckets of water, inside the 1st bucket the temperature of the water is 25ºC, inside the 2nd bucket the water is 25ºF. You drop a coin into each bucket from the same height and they hit water at exactly the same time. Question. Which coin touches the bottom first ?
Answers
Can someone explain to me how to combine like terms?(7th grade)
Like can you give me an example problem then tell how to solve it.
Answers
HOPE THIS HELPS!!!! IF YOU STILL DONT UNDERSTAND PLS LET ME KNOW
Answer:
When two numbers in an equation have the same variable and or charge, then you use the commutative property to put them next to each other.
Step-by-step explanation:
Example:
4x + 2 + 3x - 1 <--- Here is the original equation.
4x + 3x + 2 - 1 <---Use the commutative property to add the like terms
together. 3x and 4x end in the same variable. 2 and 1 both
have no variable. Therefore both of the groups are like
terms.
7x + 1 <--- Add/subtract the live terms together.
8x <--- Here is your answer.
Hope this helps! :D
write 66% as a fraction.
Answers
Answer:
2/3
Hope this helps.
Marbles marked 1 to 14 are placed in a bag. Nestor randomly chooses a marble from the bag. What is the probability that the marble he selected will be a marble less than 12?
Answers
Answer:
asdfasdfasdfaasdf
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Brainly y’all better help me get dis Walmart job ☠️
Answers
Answer:
laura
Step-by-step explanation:
Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."
Answers
Answer:
The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.
Step-by-step explanation:
We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.
one side of a parallelogram has endpoints (3, 3) and (1, 7). what are the endpoints for the side opposite? (8, 1) and (6, 5) (6, 1) and (8, 5) (8, 1) and (6, 7) (6, 1) and (2, 3)
Answers
The endpoints of the opposite side of the parallelogram are (8, 1) and (6, 5).
The endpoints of the given side of the parallelogram are (3, 3) and (1, 7).The slope of this side is (3-7)/(3-1).The slope of this side is (-4)/(2).The slope of this side is -2.The length of this side is √[(3-1)² + (3-7)²].The length of this side is √(2² + 4²).The length of this side is √(4 + 16).The length of this side is √(20).The opposite sides of a parallelogram are parallel and equal in length.This criteria is followed by line segment joining (8,1) and (6,5) among the options presented.To learn more about parallelogram, visit :
https://brainly.com/question/1563728
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The price of a printer increased by 8% to $777.60. Find the usual price of the printer.
Answers
Please HELP ASAPAPPPP!!?!!??
Answers
Answer:
36 - 18 longest side = 18
Step-by-step explanation: This would mean both sides are 18.
using these two points, (3, 6) and (4, 9); what is the slope?
Answers
EXPLANATION:
y2-y1
____= 3
x2-x1
What is the measure of arc FEH?
Answers
Answer:
B)203
Step-by-step explanation:
FE is 23 plus H which is a straight line which means that is 180. Add 23 and 180 that get's you 203
My girl friends face
whats 7x7
Answers
Answer: Why is the basic math question is here? But the answer is 49, don’t put the basic expression next time!
Step-by-step explanation:
Answer: this is 2 grade stuff but ok... 49
22) The length of tangents drawn from
an external point to a circle are equal to
4 cm and radius is 3 cm then the
distance of external point from the
centre is
O 2 cm
O 3 cm
O 4 cm
O 5 cm
Answers
Answer:
The length from the external point to the center of the circle is 5 cm
Step-by-step explanation:
Here, we want to calculate the distance from the center of the circle to the external point
Please check attachment for diagram
Now, from what we know, the tangent and the radius meets at right angle
So we have a right-angled triangle with the length from the external point to the center of the circle as hypotenuse;
While the radius and the length of the tangent to the circle as the other sides
Using Pythagoras’ theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the length we want to calculate be x
x^2 = 3^2 + 4^2
x^2 = 9 + 16
x^2 = 25
x = √25
x = 5 cm
Can someone help me please!!
Answers
Answer:
(6,4) I believe
Step-by-step explanation:
Answer:
(6,4)
Step-by-step explanation:
The vertex is either the highest or lowest point on a parabola, in this case, the highest.
The highest point on the graph is 6,4
Select ALL of the equations that have infinite solutions.
A. 3x-6+2x = 5x + 3
B.
C. 2x+1-3x = 6-x+5
D. 2(x +4)-3 = 3x+5
E. 3x +1+x=9-4x-10
-5x +9+ 2x = -3(x-3)
Conly
Answers
Answer:
-5x+9+2x=-3(x-3)
Step-by-step explanation:
3x-6+2x = 5x + 3
5x-6=5x+3
0=9
No solution
2x+1-3x=6-x+5
-x+1=11-x
0=10
No solutions
2(x+4)-3=3x+5
2x+8-3=3x+5
x=0
One solution
3x +1+x=9-4x-10
8x=-2
x=-1/4
One solution
-5x +9+ 2x = -3(x-3)
-3x+9=-3x+9
Infinite solutions
Thomas elementary has 150 students who participate in sports. If 20% of these students play baseball, how many students play baseball?
Answers
Answer:
30 kids
Step-by-step explanation:
Write 24 as a product of primes.
Use index notation when giving your answer.
Answers
Answer:
2^3 * 3
Step-by-step explanation:
Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23
To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.
This is much easier to do than it sounds like in this explanation.
Start with 24.
24/2 = 12
12/2 = 6
6/2 = 3 3 is not divisible by 2, so we move on to 3.
3/3 = 1 We got to 1, so we are done.
The prime factorization is the product of all the prime numbers we divided by which are in bold.
24 = 2 * 2 * 2 * 3
Now we index it:
24 = 2^3 * 3
Someone please help me with 16-18 please it’s due in 30 mins
Answers
9514 1404 393
Answer:
16. 134°
17. 20°
18. 94°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it intercepts.
__
16. Arc QT is twice the measure of inscribed angle QST, given as 67°.
Arc QT = 2×67°
Arc QT = 134°
__
17. Angle STR is half the measure of arc SR, so is ...
m∠STR = (arc SR)/2 = 40°/2
m∠STR = 20°
__
18. Arc RST is a semicircle, so has a measure of 180°. Then arc ST is the difference between that and arc RS:
arc ST = 180° -40° = 140°
Angle RST subtends a semicircle, so is 180°/2 = 90°. We know angle QST is 67°, so the remaining portion, angle QSR must be the complement of that:
m∠QSR = 90° -67° = 23°
Arc RQ will be twice this measure, or 46°.
So, the desired difference is ...
mST -mRQ = 140° -46° = 94°
Does anyone know how to solve this?
Answers
Answer: the zeros are 0; 9; 5
Step-by-step explanation:
What is three-fifteenths of ten?
Answers
Answer: The answer is 2.
Step-by-step explanation: 3/15 can be simplified to 1/5. Find 1/5 of 10. You can do that by dividing 10 and 5. Therefore, the answer is 2.
The regular cost for a day pass at the swimming pool is $8. Nancy and Rachel are students at the local elementary school, so they each get a $1.25 discount. How much will they pay altogether for a day at the pool? *
Answers
Answer:
$13.50
Step-by-step explanation:
(8*2) - (1.25*2) =
16 - 2.50 =
13.50
8.00-1.25=6.75 so I believe this the answer
Use the line plot to answer the question.
What is the median number of trips taken to the food store in one week?
A. 1
B. 3
C. 1.5
D. 2
Answers
Answer:
2
Step-by-step explanation:
good right solve it and rate my answer
75 push-ups in 5 days =
push-ups per day
Answers
Answer:
Step-by-step explanation:
75 divided by 5= 15
15 pushups per day
PLEASE HELP!!!
write an equation in slope intercept form for all these below
14.through: (5, 1) slope=3/5
15. through:(2, -4) slope=-1
17. through:(5,-2) and (-5,3)
Answers
Answer:
14. y= 3/5x-2
15. y= -1x-2
17. -1/2
Step-by-step explanation:
Since you have a point and a slope put it in point-slope form first.
Point-slope form: y-y1=m(x-x1)
Then solve for y.
Then you'll get the slope-intercept form.
For number 17 use the slope-intercept form y=mx+b
rise/run= m= y2-y1/x2-x1