The length of the legs of a 45-45-90 Special Right Triangle are 5 inches. How long is the hypotenuse of the triangle?
Question 1 options:
15 inches
5√3– inches
5√2– inches
10 inches
Answers
Answer:
[tex]5\sqrt{2}[/tex]
Quiz results:
The length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For this case, we're specified that:
The triangle is 45-45-90 Special Right Triangle,that means, two of its angles are of 45 degrees and one is of 90 degrees.The legs of the triangle (non-slant side, the sides which are perpendicular to each other) are of 5 inches length.Thus, as shown in the diagram, the hypotenuse is AC.
Its length is found using the Pythagoras theorem as:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|AC|^2 = 5^2 + 5^2 = 25 + 25 = 50\\\\\text{Taking roots, but positive as AC is length, a non-negative quantity}\\\\|AC| = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{5^2 \times 2} = 5\sqrt{2} \: \rm inches[/tex]
Thus, the length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Related Questions
1. Since 1963, the State of California has used the following rules for standard
car license plates
• Every license plate has the format ###AAA#, where # represents a numeral
0-9 and A represents a letter A-Z.
• The first and third letter positions cannot be I, O, or Q (to avoid
confusion with mumbers 1, 0).
How many license plates can the State of California issue that follow
these rules?
Answers
Answer:
137,540,000
Step-by-step explanation:
###AAA#
There are 10 digits from 0 to 9.
There are 26 letters from A to Z.
We apply the counting principle. We see the number of possible digits or letters than can be placed in each position, and then we multiply them together.
There are 10 digits for the first position.
###AAA#
10
There are 10 digits for the second position.
###AAA#
10 * 10
There are 10 digits for the third position.
###AAA#
10 * 10 * 10
There are 23 letters for the fourth position.
###AAA#
10 * 10 * 10 * 23
There are 26 letters for the fifth position.
###AAA#
10 * 10 * 10 * 23 * 26
There are 23 letters for the sixth position.
###AAA#
10 * 10 * 10 * 23 * 26 * 23
There are 10 digits for the seventh position.
###AAA#
10 * 10 * 10 * 23 * 26 * 23 * 10
Now we multiply all the numbers together.
10 * 10 * 10 * 23 * 26 * 23 * 10 = 137,540,000
Q1. Edward drove 80 miles from his home to London. He stopped and visited his friend Nicola on the way. Here is the distance-time graph for the journey.
80
60
a) How far was Edward from home when he visited Nicola.
b) How long did Edward stop for?
Distance from home (miles)
40
20
09:00
10:00
11:00
Time of day
12:00
13:00.
Plz steps
Answers
Answer:
a) 40
b)1h30m
Step-by-step explanation:
a) from graph
b) from 10:00 to 11:30 is 1h30min
Any ideas I don’t get it
Answers
Answer:
60 cm
Step-by-step explanation:
3*4*5= 60
Answer:
Your awnser is 115!
Step-by-step explanation:
You get 115 calculating the height length and width
Express the polynomial that is twice the sum of 4x2 - x + 1 and -6x2 + x - 4.
Answers
Answer: -4x-6
Step-by-step explanation: 2(4x^2-x+1-6x^2+x-4)
2(-2^2-3)
-4x^2-6
find the value of given expression
[tex] \sqrt{25 \times 5 - 2 {}^{2} } [/tex]
Answers
25•5 is 125.
2 to the power of 2 is 4.
so 125-4 is 121.
the square root of 121 is 11
please help can you help i really need help like really this is so heard
Answers
Answer:
1/8 square unit.
Step-by-step explanation:
Remark
The piece of information that is missing is is the middle line parallel to 2 of the sides. You have to assume it is, otherwise the question is impossible to do.
Givens
The height of the red triangle is 1/2 the top or bottom white triangle. That's because the diagonals and the horizontal line all meet in the middle.
The base of the red triangle is equal to 1/2 the length of the base.
Formula
Area red = 1/2 b * h
Solution
b = 1/2
h = 1/2
Area = 1/2 * 1/2 * 1/2
Area = 1/8
Michael runs 3.5 miles in 30 minutes. If he continues at this rate for 2 hours, determine his rate of change.
Answers
Answer:
The answer would be 7mph.
Step-by-step explanation:
The rate of change is just miles per hour.
what are the zeros of (2x+5)(x-6) ?
Answers
Answer:
x=-5/6 , 6
Step-by-step explanation:
Can someone help me please?
Answers
Answer:
Your answer would be 15.
Step-by-step explanation:
what is the exponential equation
Answers
Help pls it for math I’m doing a test and didnt take all notes help I will give the brainliest
Answers
Answer:
A:1/18 B:1/6 for 4 and 1/3 for red
Step-by-step explanation:
A plane is at cruising altitude of 10,200 feet. If the angle of depression to the run way is 18 degrees, what is the distance, to the nearest foot, from the plane to the run way
Answers
Answer: [tex]33,007.9\ ft[/tex]
Step-by-step explanation:
Given
The plane is cruising at an altitude of [tex]h=10,200\ ft[/tex]
The angle of depression is [tex]\theta=18^{\circ}[/tex]
Suppose the distance of the plane to the runway is x
from figure
[tex]\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft[/tex]
Which of the following are compound events?
A.
Jacob flips a coin and pulls a card
B.
A teacher selects a student randomly from the class
C.
Maria spins a spinner from a board game to determine her next move
D.
The forecast for rain today
E.
Customer orders a Turkey and Swiss sandwich on wheat bread
F.
A family has two boys and a girl
Answers
Answer:
a
Step-by-step explanation:
A compound event is an event that has more than one outcome. it is the combination of two simple events
The circumference of a circle is 9.45cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
Answers
Answer:
D = 3 cm
Step-by-step explanation:
Given that,
The circumference of a circle is 9.45cm.
We need to find the length of the diameter.
The formula for the circumference of a circle is given by :
[tex]C=2\pi r[/tex]
We know that, Diameter = 2r
So,
[tex]C=D\pi\\\\D=\dfrac{C}{\pi}\\\\D=\dfrac{9.45}{\pi}\\\\D=3\ cm[/tex]
So, the length of diameter is equal to 3 cm.
Find the
vertex of this
quadratic.
Answers
Answer:
(-3, 0)Step-by-step explanation:
As per the graph the vertex, the maximum of the quadratic function is (-3, 0)
28/1/4 equals what beats per minute
Answers
Answer:
112
Step-by-step explanation:
marios heart rate and intensity level is 112
Please answer correctly! I will mark you as Brainliest!
Answers
Answer:
i got 616 for the answer good luck!!
Step-by-step explanation:
Answer:
B.) 205.3³
Step-by-step explanation:
Volume = (length·width·height) divided by 3
⬇
V = (lwh)/3
⬇
V = (11·7·8)/3 ≈ 205.33333
⬇
205.3³
Give me a hand please! Triangle VZX is similar to RPQ where ZX corresponds to PQ. If VZ = 8 cm, ZX = 6.4 cm, VX = 11.2 cm, and PQ = 5.12 cm, what is the measure of RQ?
A) 4.096 cm
B) 10 cm
C) 8.96 cm
D) 6.4 cm
Answers
Answer:
C: 8.96
Step-by-step explanation:
We know taht ZX is similar to PQ. We can now set up the ratio of 6.4: 5.12
This ratio gives us .8:1
Multiply VX by the ratio to find its corresponding similar side of RQ
(11.2) * .8 = 8.96
Lol help now files just type it
Answers
Answer:
2 = 4/2
Step-by-step explanation:
Well the one for the 2 wholes, Since 2 wholes equal 4/2
because 4/2 simplified is 2 whole it I believe would be 4/2
Answer:4/2,5/2
Step-by-step explanation:
I believe that 4,2 because it's going in order and 4/2= 2 which is shown below. And 5,2 because 5/2=2.5 which is half of 2 and 3.
John tosses a coin 50 times, and it lands on heads 27 times and tails 23 times. What is the relative frequency if landing on heads?
A. 27
B. 46
C. 50
D. 54
Answers
46
Step-by-step explanation:
I think that you could do 27-23 since then do 50-4
What are the next two numbers in the sequence 1. 8. 27.___, __?
O 34,53
O 32, 75
O 64, 125
54. 270
Answers
Answer:
64, 125
Step-by-step explanation:
Each number is cubed:
1^3= 1
2^3=8
3^3=27
4^3=64
5^3=125
If y=−3, then
4y
4+y
=
Answers
Answer:
if Y=-3 and 4y is the equation then the answer is -27
Answer:
4y=-12
4+y=1
Step-by-step explanation:
when y=-3
then you substitute the value of y into the questions
4(-3)=
4×-3
=-12
4+y
4+(-3)
we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)
so therefore,
4-3
=1
......................
4 x4 x4 x5 x5
Answers
Hope this helps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]
[tex]\mathsf{4\times4 = \bf 16}[/tex]
[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]
[tex]\mathsf{16\times4 = \bf 64}[/tex]
[tex]\mathsf{\bold{64}\times5\times5 }[/tex]
[tex]\mathsf{64\times5 = \bf 320}[/tex]
[tex]\mathsf{\bold{320}\times5}[/tex]
[tex]\mathsf{= \bf 1,600}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I'm having some trouble on part B for this question, got no idea where to start on it. Any help?
Answers
Answer:
20,000 in sales last month.
Step-by-step explanation:
can't really explain it I just found how much in sales would make that amount of commission.
5000 with 5%
15000 with 7.5%
What’s the answer to the question -7x + 15 = 36
Answers
Answer:
x= -3
Step-by-step explanation:
-7x +15 - 15 = 36 - 15
-7x = 21
-7x ÷ -7 = 21 ÷ -7
x= -3
Answer:
Um.....
-3
Sorry if calculated wrong..
2) I am a 5 digit number between 70,000 and 80,000 My hundreds digit is greatest single digit odd number. My thousands digit is two less than hundreds place. My ones place is 3 less than ten thousands place. My tens place is the number of vowels in English alphabet
Answers
Answer:
73554
IM sorry if this is not the correct answer, it is very hard to understand
(っ◔◡◔)っ ♥ Hope It Helps ♥
please help me with this quick :))))))))
Answers
Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² × [tex]\frac{60}{360}[/tex]
= π × 18² × [tex]\frac{1}{6}[/tex]
= 324π × [tex]\frac{1}{6}[/tex] = 54π in²
area of Δ ABC = [tex]\frac{1}{2}[/tex] × 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
i really need help on these
Answers
Answer:
Im pretty sure its B.(2n+3)
Step-by-step explanation:
You start off with two dots and it keeps adding three in each picture, so yeah :)
the parking space outside sky towers measures 2x-1 meters x+2 meters . what is rhe cost of cleaning the parking area if the cleaner has to be paid rs 50 per m^2
Answers
Answer:
Rs 100x² + 150x - 100
Step-by-step explanation:
Area of the parking space = Length * Width
Area of the space = (2x-1)(x+2)
Expand
Area of the space = 2x² + 4x - x - 2
Area of the space = (2x²+3x - 2) sq. m
Since 1sq.m = Rs 50'
(2x²+3x - 2) sq. m= z
z = 50 (2x²+3x - 2)
z = 100x² + 150x - 100
hence the cost of the parking spsce is Rs.100x² + 150x - 100
Jack rides his bicycle 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours?
A 12 miles12 miles
B 24 miles24 miles
C 34 miles34 miles
D 240 miles
Answers
Answer:B
Step-by-step explanation:
4 miles = 30 minutes
8 miles = 1 hour
24 miles = 3 hours