Answers
[tex]\huge\bold{Given:}[/tex]
Length of the perpendicular = 6 ft.
Length of the base = 8 ft.
[tex]\huge\bold{To\:find:}[/tex]
The length of the missing side.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\purple{x\:=\:10\:feet}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let [tex]"x"[/tex] be the side of the hypotenuse.
Using Pythagoras theorem, we have
( Hypotenuse )² = ( Perpendicular )² + ( Base )²
[tex]\longrightarrow{\blue{}}[/tex] [tex] {x}^{2} [/tex] = ( 6 ft )² + ( 8 ft) ²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 36 ft² + 64 ft²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 100 ft²
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex] \sqrt{100 \: {ft}^{2} } [/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex] \sqrt{10 \times 10 \: {ft}^{2} } [/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex] \sqrt{ ({10 \: ft})^{2} } [/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = 10 ft.
Therefore, the length of the missing side [tex]x[/tex] is 10 feet.
[tex]\huge\bold{To\:verify :}[/tex]
[tex]\longrightarrow{\green{}}[/tex] ( 10 ft )² = ( 6 ft )² + ( 8 ft ) ²
[tex]\longrightarrow{\green{}}[/tex] 100 ft² = 36 ft² + 64 ft²
[tex]\longrightarrow{\green{}}[/tex] 100 ft² = 100 ft²
[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]
Related Questions
Someone help me please!
Answers
Answer:
B
Step-by-step explanation:
Slope: -3/4
Y-intercept: 5
Answer:
B) since its a negative it will be going that directrion<
Step-by-step explanation:
highly recommend Desmos for these kind of problems
Mr. Takaya can eat four slices of pizza in seven minutes. If he continues to eat at the
same rate, how long will it take him to eat the whole pizza, which has twelve slices?
How many slices could he eat in 35 minutes?
Answers
If he continues to eat at the same rate for 35 minutes, he'll have diabetes.
What are the solutions to the system of equations graphed below?
Answers
Answer:
(0,-4) and (2,0)
Step-by-step explanation:
you cut off the screen shot, so not all answer options are visible.
but from the graph we can pretty reliably deduct, that the solutions (the crossing points of both functions) are
(0,-4) and (2,0)
write a cosine function that has a midline of 5 an amplitude of 2 and a period of 5/2
Answers
Answer:
Uuy
Step-by-step explanation:
Acellus Find the next term in this arithmetic sequence. 7/2,9/4,1,-1/4,-2/3 ,___
Answers
Answer:
-11/4
(I think you meant -3/2 not -2/3 at the end there.)
Step-by-step explanation:
If it is arithmetic, it's going up or down by same number.
So we started with 7/2 and went down to 9/4.
If we can find how much it went down, then we can find the next term after -3/2.
Find difference
7/2-9/4
Find common denominator
14/4-9/4
5/4
So we are going down by 5/4 each time.
That means the following equations should ve true:
7/2-5/4=9/4
9/4-5/4=1
1-5/4=-1/4
-1/4-5/4=-3/2
And all of these are in fact true.
The next term in the sequence will be
-3/2-5/4.
Find common denominator
-6/4-5/4
-11/4
How do I do this? (Will give brainliest) (explanation if you could)
Answers
Answer:
ummmmmmmmmm whats the question
have a good day :)
Step-by-step explanation:
I need help solving this , help !
Answers
Answer:
NO
Step-by-step explanation:
Triangle A suggests that the triangle is isosceles.
Isosceles:
Triangle with two congruent angles and sides:
7 , 6 , 7
5 , 4 , 5
9, 12 , 9
Triangle B suggests that the triangle is scalene.
Scalene:
Triangle with no congruent angles or sides:
5 , 6 , 7
10 , 15 , 7
12 , 18 , 21
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I need help with my math homework. it is due on Monday
Answers
Answer
sorry i dont know i wish i could help
help asap --=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Answers
Answer:
9 pi
Step-by-step explanation:
First find the circumference of the circle
C =2 * pi *r
C = 2 * pi *9
C = 18 pi
This is a semicircle which is 1/2 of a circle
Take 1/2 of the circumference
1/2 C = 1/2 ( 18 pi)
1/2 C = 9 pi
What is the factored form of b3 − 1,000?
Answers
Kindly, check the attachment below to see the answer.
The factor form of expression (b³ - 1,000) will be;
⇒ (b - 10) (b² + 10b + 100)
What is mean by Factor?
A number or an algebraic expression that divides the another number or algebraic expression is called the factor of same number.
Given that;
The algebraic expression is;
⇒ b³ - 1,000
Now, Solve the expression for the factor form as;
Since, The formula is;
a³ - b³ = (a - b) (a² + ab + b²)
Hence, we factor the expression b³ - 1,000 with the help of above formula as;
⇒ b³ - 1,000
⇒ b³ - 10³
⇒ (b - 10) (b² + b × 10 + 10²)
⇒ (b - 10) (b² + 10b + 100)
Thus, b³ - 1,000 = (b - 10) (b² + 10b + 100)
Therefore,
The factor form of expression (b³ - 1,000) will be;
⇒ (b - 10) (b² + 10b + 100)
Learn more about the factors visit;
https://brainly.com/question/25829061
#SPJ5
Solve the problem.
A teacher is going to assign each student a 3-digit code using the digits 0 through 4. How many codes are possible if no repetitions are allowed?
A.) 60
B.) 125
C.) 24
D.) 64
Answers
Answer:
24 codes are possible
Step-by-step explanation:
0 through 4 means we are to select from 0,1, 2 , and 4
That’s a total of 4
The first number has 4 choices, the second 3, the 3rd two and the last 1
The product of the choices are;
4 * 3 * 2 * 1 = 24 codes
PLEASE HELP ASAP
Question 15 Multiple Choice Worth 1 points)
(06.01 LC)
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. What is the volume of the cube?
3 cubic feet
6 cubic feet
18 cubic feet
27 cubic feet
Answers
Answer:
27 cubic feet
Step-by-step explanation:
A pyramid is always 1/3 of a cube when it has the same base as a pyramid.
ALSO, thats why the volume of a square pyramid has 1/3 in it.
So, if the volume of this pyramid is 9 cubic feet then:
9 x 3 = 27 cubic feet
Hope this helps!
What is the transformation of C(9, 3) when dilated by a scale factor of 3,
using the origin as the center of dilation?
A. C(3, 1)
B. C(-9, -3)
C. C19,3)
D. C(27,9)
Answers
I really hope that helps and I’m really sorry if the answer was incorrect but I tried my best!
A student was trying to find the solution to a system of equations, but they were incorrect. Their explanation is shown below.
3x +4y = 10
3x + 4y =2
There are infinite solutions. When I subtract the equations, I get 0x + 0y = 8, so I know that there are infinite solutions to this system of equations.
Explain the mistake that the student made:
Answers
Answer:
no solution
Step-by-step explanation:
if you subtract the equations then you get 0 = 8 and this can never be true; therefore there are no solution
[tex]3x + (-2x) + 2 =[/tex]
Answers
Evaluated 3x
Find the exact value is 3x
At Mathville Middle School, there were 50 students and 50 lockers. Each year for Pi Day (March 14), the students lined up in alphabetical order and performed the following strange ritual. The first student opened every locker. The second student went to every second locker and closed it. The third student went to every third locker and changed it (i.e. if the locker was open, the student closed it; if the locker was closed, the student opened it). In a similar manner, the fourth, fifth, sixth, . . . student changed every fourth, fifth, sixth, . . . locker. After all 50 students had passed by the lockers, which lockers were left open?
HELP ASAP PLZZZ :C
Answers
Answer:
1,4,9,16,25,40,49. I am not sure, but if somebody else solves it and it matches with mine, then you will know that its correct.
Please Help if not the right answer you will get reported if u are wasting this question for points
Answers
7a* Consider the distance is x
2/3x = 240
x = 360
The Distance between two points = 360 Km
7b* Consider the average speed at 2/3 distance was V
(45+V)/2 = 54
45+V = 108
V= 108-45= 63km/hr
The average speed for the last 2/3 trip was 63 km/hr
What is the equation of the line
Answers
Answer:
y = -7
Step-by-step explanation:
The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate
Because it is 7 units below the x-axis, it is -7
y = -7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Three runners competed in a race.
Answers
Answer:
runner B
Step-by-step explanation:
its the only one on the line
runner C is tall like a mountan
and runner A is not anywhere close to a line
What is the solution of 9 + k = 18
please help
Answers
Answer:
k = 9
Step-by-step explanation:
9 + k = 18
Subtract 9 from each side
9-9 + k = 18-9
k = 9
Answer:
k = 9
Step-by-step explanation:
Since 9 + 9 is 18 k = 9
Find the missing length of the triangle.
Answers
Answer:
29 = c
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2= c^2 where a and b are the legs and c is the hypotenuse
20^2 + 21^2 = c^2
400 +441 =c^2
841 = c^2
Take the square root of each side
sqrt(841) = sqrt(c^2)
29 = c
Answer:
c = 29 km
Step-by-step explanation:
21² + 20² = c²
441 + 400 = 841
√841 = 29
Write a story that describes the graph below.
Answers
I'm not going to write a story, but here are a few prompts and idea to use:
- person who lost their money to a gambling addiction
- person who had to deal with the expenses of an accident they were in
- person who lost thier success after a scandal and with their fame went their money
- or maybe someone who became a criminal who got caught, so they lost all their money
You download 15 music files on your computer and plan to save 7 of them to an MP3 player. In how many ways can u arrange the songs
Answers
Answer:
32,432,400
Step-by-step explanation:
This you can use a permutation.
P(15,7)15x14x13x12x11x10x9
There are 32,432,400 ways to arrange it.
Which statement is not true about the data set shown? 66, 89, 90, 55, 92, 82 A.) The median ia 82 B.) The mean is 79 C.) The rante is 37 D.) There is no mode
Answers
Answer:
a
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Median is the number that occurs in the middle of a set of observations
Arranging the numbers in ascending order : 55, 66, 82, 89, 90, 92
median = (82 + 89) / 2 = 85.5
There is no mode because the numbers only appear once
Range = 92 - 55 = 37
mean = 476/6 = 79
In this formula,C represents the total charge for babysitting and represents the number of hours the child is kept. How much should Joe pay if his child is at the babysitting service for 3 hours?
C= $5:25 + $2:50H
Answers
Answer:
huh
Step-by-step explanation:
8. Find the tolal surface area of the net below. 4 triangular and 1 rectangle
Help me pls!!!!
Answers
I really need help:(((, it’s my retake
Answers
Answer:
1. translation down and to the right
2. reflection over y-axis
3. rotation
have a nice day :)
Given v = u + 5t; Find v when u= -15 and t=4
Answers
v = u + 5t
v = -15 + 5(4)
v = -15 + 20
v = 5
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]v = u + 5t[/tex]
Given,
[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]
To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.
[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]
✐ The value of v is 5.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
in 24 games, Jamie has 48 scoring attempts. Which unit rate describes Jamie's scoring attempts?
Answers
Answer:
The answer is 2 scoring attempts per game.
What is the area of the shaded portion of the circle?
Answers
9514 1404 393
Answer:
(a) (5π -11.6) ft²
Step-by-step explanation:
The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.
shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)
shaded area = (5π -11.6) ft²