Answers
Answer:
The length of the leg is 11 units.
Step-by-step explanation:
The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is [tex]\sqrt{2}[/tex] times of the length of any of the legs. Hence, we get the following expression:
[tex]h = \sqrt{2} \cdot l[/tex] (1)
Where:
[tex]l[/tex] - Length of the leg, in units.
[tex]h[/tex] - Hypotenuse, in units.
If we know that [tex]h = 11\sqrt{2}[/tex], then the length of the leg is:
[tex]l = \frac{h}{\sqrt{2}}[/tex]
[tex]l = 11[/tex]
The length of the leg is 11 units.
Related Questions
What is the solution to 1/2|x|=-3?
A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist
Answers
Answer:
The answer is D: No solutions exist
Here is a diagram and its corresponding equation. Find the solution to the equation.
4(+7)=38
Answers
Answer:
The solution to the equation is:
x = 2.5 or x = 5/2Step-by-step explanation:
To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:
Equation: 4(x+7) = 38And we solve:
4x + 28 = 38 (we multiply 4 by x and 7)4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)x = 2.5 (we divide)As you can see, the solution of the equation is x = 2.5 or x = 5/2
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
Answers
Answer:
Need a picture so someone can answer.
Answer:
Step-by-step explanation:
Sorry but i can not help you without a picture being present
Choose the inequality that represents the following graph.
Answers
........
the answer is C since it needs to be lees than or -2
I believe it is C. But if I’m wrong let me know :)
(No link pls <3)
Answers
I also think- Because you're drawing on the same marble without replacing it.
find the missing term in the sequence 3 ,-1 ,- 5 ____ -13
a. -6
b. -7
c. -9
d. -11
Answers
Answer:
C. -9
Step-by-step explanation:
The pattern is clearly subtracting 4 each time (or adding -4).
-5 - 4 = -9
solve 3x-y=7 for x if weird answer will report
Answers
Answer:
x = 1/3y +7/3
Step-by-step explanation:
3x-y=7
Add y to each side
3x-y+y=7+y
3x = y+7
Divide each side by 3
3x/3 = y/3 + 7/3
x = 1/3y +7/3
Answer:
x= 7/3 + y/3
Step-by-step explanation:
divide each term by 3 and simplify
what is 5¹? and just what does ¹ mean? like whats the formula for the equation?
Answers
Answer:the answer is 5 it means you mutiply five that many times
Step-by-step explanation:
Answer:
5¹=5
5¹ means that you multiply 5 by itself 1 times
If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?
Answers
Answer:
you will pay back $4,984 in total and you will owe 984 in interest alone just in case you need that too.
Please help!
From the table what are the x and y intercepts in coordinate form?
Answers
Answer:
(0,3) is the x intercept
(3,0) is the y intercept
Step-by-step explanation:
When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept
At oceanside middle school 110 students tried out for the football team only 80% of the students that tryout make the team how many players are on the team
Answers
Step-by-step explanation:
answer is 22 students in the team
how do u get it?
you know it is 80% of the students went for try out so you do 100% - 80% give you 20% students the number of students in the team already. so you do 20 / 100 x 110 students which already in the whole school over 1 which would give it 22
You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020
Answers
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the string = 39 m
The kite is level with the top of a building that is 24 meters high.
We need to find the angle of elevation of the kite.
A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]
So, the angle of elevation of the kite is 37.97°. The correct option is (b).
Solve 5x + 17 = 4(3x - 1) x = -3 x = -3 Infinitely many solutions Infinitely many solutions No solutions No solutions x = 3
Answers
Answer:
3 =x
Step-by-step explanation:
5x + 17 = 4(3x - 1)
Distribute
5x+17 = 12x -4
Subtract 5x from each side
5x+17-5x = 12x-4-5x
17 = 7x-4
Add 4 to each side
17+4 = 7x-4+4
21 = 7x
Divide by 7
21/7 = 7x/7
3 =x
Answer:
x = 3
Step-by-step explanation:
5x + 17 = 4(3x - 1)
Distribute on the right side.
5x + 17 = 12x - 4
Subtract 12x from both sides. Subtract 17 from both sides.
-7x = -21
Divide both sides by -7.
x = 3
What is the answer ?
Answers
Answer:
A. AB≈ DE
is the answer to this question
What are the dimensions of the tabletop with the
leaves open? Round to the nearest tenth of a foot. Someone please answer I need this for extra credit :))
Answers
Answer:
Dimensions of the tabletop is 2.8 cm × 2.8 cm.
Step-by-step explanation:
From the picture attached,
ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.
Dimensions of the tabletop ABCD,
Length = AB
Width = BC
Coordinates of A → (1, 3)
Coordinates of B → (3, 5)
Coordinates of C → (5, 3)
Coordinates of D → (3, 1)
Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
≈ 2.8 units
BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
= 2.8 units
Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.
please help me, i need it right now !!
Answers
Answer:
Is it 63
Step-by-step explanation:
z2+4z-165=(z-11)(z+-15)
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Find one value of xxx that is a solution to the equation:
(2x+3)^2-6x-9=0(2x+3)
2
−6x−9=0left parenthesis, 2, x, plus, 3, right parenthesis, squared, minus, 6, x, minus, 9, equals, 0
x=x=x, equals
Answers
Answer:
-3/2
Step-by-step explanation:
Given the funtion
(2x+3)² - 6x+9 = 0
(2x+3)² = 6x + 9
Expand
4x²+12x+9 = 6x + 9
4x²+12x - 6x = 0
4x²+6x = 0
4x² = -6x
4x = -6
x = -6/4
x = -3/2
Hence the value of x is -3/2
complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates
Answers
Answer:
[tex]y=(x-3)^2-7[/tex]
Minimum
(-3,-7)
Step-by-step explanation:
[tex]y=x^2 -6x+2[/tex]
[tex]b=-6[/tex]
[tex]\frac{b}{2} =(-3)^2=9[/tex]
[tex]y+7=x^2-6x+9[/tex]
[tex]y=(x-3)^2-7[/tex]
-7 is a minimum.
Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3
Answers
Answer:
69
Step-by-step explanation:
69
pleaseee help me! :(
Answers
Answer:
x=72°
Step-by-step explanation:
given,
DEF=216°
DF =360-216
144°the value of x=144/2( inscribed angle is half of its arc)
72°stay safe healthy and happy....Janna has driven 200 miles. If she averages 50 miles per hour, how many more hours must she drive before she has driven a total of 500 miles?
Answers
What is the approximate area of the circle shown below?
A. 50 cm2
B. 201 cm2
C. 804 cm2
D. 25 cm2
Answers
Answer:
Hello! answer: B.
attention: im using 3.14 for pi so answers may vary. ok so in this picture we are provided with the diameter to find area we can do radius × radius × 3.14
16 ÷ 2 = 8 8 × 8 = 64
64 × 3.14 = 200.96 When you round this up it's 201 so approximately the answer would be B. Hope that helps!
Dynamics can be written anywhere in band music.
True or False
Answers
HELP ME OUT PLEASEEEEEEEEEEEe
Answers
Step-by-step explanation:
y = 15× tan25° = 15×0.466 = 6.99 m
r (Hypotenuse) = 15/cos25° = 15/0.906
= 16.56m
the total height = 6.99+16.56 = 23.55 m
HELP I CANT FAIL AGAIN
Answers
Answer:
49
Step-by-step explanation:
I’m giving brainlest pls help meeee
Answers
You move the expression to the left, multiply both sides, reorder the terms, and change the signs.
Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.
Answers
Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation:
PLZ HELPPPPPP!!!!!!!!!
Answers
Answer:
the answer is B
Step-by-step explanation:
Sum of 2 fifths of x and 6x and 6 in algebraic expression
Answers
Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6
Answer:
(14x+12)/5
Step-by-step explanation:
2 fifth of x = 2/5 * x= 2x/5
2 fifth of 6x = 2/5 * 6x = 12x/5
2 fifth of 6 = 2/5 * 6 = 12/5
2x/5 + 12x/5 + 12/5
= (2x+12x+12)/5
= (14x+12)/5