Answers
Answer:
x = [tex]7\sqrt{2}[/tex]
Step-by-step explanation:
a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .
since the other two sides are equal both should be denoted as x.
now the value of a is given i.e 14 m
using pythagoras theorem,
pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,
a^2 + b^2 = c^2
x^2 + x^2 = 14^2
2x^2 = 196
x^2 = 196/2
x^2 = 98
x = [tex]\sqrt{98}[/tex]
x = [tex]7\sqrt{2}[/tex]
Answer:
[tex]x=7\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,
[tex]x-x-x\sqrt{2}[/tex]
Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. ([tex]x\sqrt{2}[/tex]) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).
[tex]x=\frac{a}{\sqrt{2}}[/tex]
Substitute,
[tex]x=\frac{14}{\sqrt{2}}[/tex]
Simplify,
[tex]x=\frac{14}{\sqrt{2}}\\\\x=\frac{14*\sqrt{2}}{\sqrt{2}*\sqrt{2}}[/tex]
[tex]x=\frac{14\sqrt{2}}{2}[/tex]
[tex]x=7\sqrt{2}[/tex]
Related Questions
The graph shows two lines, A and B.
у A 6 А. B Сл 4 3 N 1 0 1 2. 3 4 5 6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answers
Answer with explanation:
Part A:
One solution.
The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.
Part B:
(3, 4)
The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or [tex]x=3, y=4[/tex], as coordinates are written as (x, y).
Kate is 1 year and six months younger than her sister. If her sister is 14 years and 2 months old, how old is Kate?
Answers
Answer:
Kate is 13years and 4 months old,I suggest.
An aeroplane travels on a bearing of 295o so that it is 200 km west of its starting point. How far has it travelled on this bearing?
please use diagrams to explain
Answers
The more accurate value is roughly 220.675583792499 km but even that isn't an exact value.
===============================================
Explanation:
Refer to the diagram below.
The plane starts at point A, which is the origin (0,0)
Directly north is the bearing 0 degrees, which it sometimes written as triple zeros and a degree symbol at the end, so we'd write 000° to mean directly north.
Let's say we face directly north. When turning clockwise (turn toward the east), the bearing angle increases. That means directly east is the bearing 090° and 180° is directly south.
The bearing 270° is directly west. Another 25 degrees gets us to 270+25 = 295°
This plane is facing the northwest direction, as the diagram indicates below (the plane is aimed at point C while it's located at point A initially).
------------
Triangle ABC has the horizontal component AB = 200 km, since we're told that the plane is 200 km west of its starting point (and some unknown distance north of the starting point).
We use the cosine ratio to help determine the hypotenuse length AC
cos(angle) = adjacent/hypotenuse
cos(A) = AB/AC
cos(25) = 200/x
x*cos(25) = 200
x = 200/cos(25)
x = 220.675583792499 which is approximate.
x = 221
I'm rounding to the nearest whole number since every other value given to you is a whole number. Round as your teacher instructs.
This means the plane is roughly 221 km away from its starting point. In other words, side AC is about 221 km long.
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Answers
Answer:
x = -5; y = 4, z = 1
Step-by-step explanation:
Given the row echelon form as:
[tex]\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right][/tex]
This matrix can be represented as:
[tex]\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right][/tex]
Therefore:
z = 1
y - z = 3;
y = 3 + z = 3 + 1 = 4.
Hence, y = 4
x + 4z = - 1;
x = -1 - 4z = -1 - 4(1) = -5
x = -5
pls answer by step by step
Answers
Answer:
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?
You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?
Answers
Answer:
The wire required to fence is 530 m.
Step-by-step explanation:
Length, L = 180 m
Width, W = 85 m
The perimeter of the wire is
P = 2 (L + W)
P = 2 (180 + 85)
P = 530 m
So, the wire required to fence is 530 m.
A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function P(x) that expresses profit as a function of time. P(x)=
Answers
Answer:
P(x) = 35,900 + 2,800(x-1)
Step-by-step explanation:
P(x)
P(1) = $35,900
P(4) = $44,300
Difference in profits
P(4) - P(1)
= P(3)
= $44,300 - $35,900
= $8,400
Rate of change per year = $8,400 / 3
= $2,800 per year
The linear equation
P(x) = 35,900 + 2,800(x-1)
Where
x = number of years
Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)
Answers
Mathematicians 4: Who is Who?
Unit: Factoring Quadratics
Factor the following quadratic equations to determine each person's name: Show your work
Answers
Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
sin 145° rounded to the nearest hundredth
Answers
Answer:
0.57
You could use a calculator ya know
Step-by-step explanation:
Find the measure of angle 5
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answers
Answer:
-4x+161
Step-by-step explanation:
why-
because it is correspondoing so that is the answer
Is how far from work do all the employees live a statistical question
Answers
Answer:
need more info sry
Step-by-step explanation:
PLEASE HELP!! The slope of the line below is 2.5. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on the y-side.
Answers
Answer:
y = 2.5x
Step-by-step explanation:
y = mx + b
m=2.5 (slope) --> y=2.5x+b
coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate
to Find b, input the coordinate --> 5 = 2.5(2) + b
5 = 5 + b
0=b
y= 2.5x
This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.
hope this helps
The equation of the line in point-slope form, using the coordinates of the labeled point, is y = 2.5x.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The slope of the given line is 2.5.
And line passes through the point (2, 5) and have a slope 2.5,
then the equation of the line is,
y - 5 = 2.5 (x - 2)
y = 2.5x
Therefore, the equation of the line is y = 2.5x
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
PLZZ HELP ME ITD MEAN THE WORLD
Answers
Answer: 33/3
Step-by-step explanation:
I don't know the question is weird but it probably is 33/3
Question 1 of 10
What are the solutions of x2 - 5x+7=0 ?
Answers
IF YOU ANSERW MY MATH QUESTIONS ILL GIVE ADTINAL 50) POINTS FOR each question and crown evry question.
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
Answers
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Answer:
220.4 feet below sea level
Step-by-step explanation:
use the following formula:
rate x time = distance
(rate going down)(time going down) = distance going down.
so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:
(2.2 ft/sec)(91 seconds) = distance of 198 feet.
she then ascends for 32 seconds at a speed of 0.7 feet/second.
so, substitute that;
(0.7 ft/sec)(32sec) = distance of 22.4 feet.
distance traveled downward + distance traveled upward = total distance of location.
198 + 22.4 feet = 220.4 feet
is x = 3 a function or not a function ?!
Answers
Answer:
x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.
How do I do this ( answer please )
Answers
Answer:
I think see what circuit is connected to the light
Step-by-step explanation:
Name the marked angle in 2 different ways.
Answers
1) Angle UWV
2) Angle VWU
yepyepyep!
What’s the length of AB?
-12 UNITS
-6 UNITS
-10 UNITS
-14 UNITS
Answers
Answer:
the answer would be ten units
Step-by-step explanation:
use the Pythagorean theorem
A^2 + b^2 = C^2
8^2 + +6^2 = 10^2
WILL GIVE BRAINLIEST IF CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
Slope = 3/4
y = mx + b
y = 3/4x + b
0 = 3/4 (6) + b
0 = 18/4 + b
-9/2 = b
y = 3/4 x - 9/2
Solve for x:
2x + 5 = 12
Answers
Answer:
x = 7/2
Step-by-step explanation:
2x + 5 = 12
Subtract 5 from each side
2x + 5-5 = 12-5
2x = 7
Divide each side by 2
2x/2 = 7/2
x = 7/2
Answer:
[tex]x = \frac{7}{2} [/tex]
Step-by-step explanation:
Let's solve:
[tex]2x+5=12[/tex]
Step 1: Subtract 5 from both sides.
[tex]2x+5−5=12−5 \\
2x=7[/tex]
Step 2: Divide both sides by 2.
[tex] \frac{2x}{2} = \frac{7}{2} \\
x= \frac{7}{2} [/tex]
Which is not a benefit of direct deposit?
A.
You can plan when you are paying bills.
B.
You can avoid having a hold placed on when funds are available.
C.
The money is available as soon as your employer makes the transfer.
D.
You do not need to drive to the bank to make a deposit.
Answers
Answer:
Its B. You can avoid having a hold placed on when your funds are available
Step-by-step explanation:
I just got it right rn.
The measure of 1 in the diagram below is 113º.
What is the measure of <4?
Answers
Answer: 67°
Step-by-step explanation:
From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.
Therefore,
Angle 1 + Angle 4 = 180°
113° + Angle 4 = 180°
Angle 4 = 180° - 113°
Angle 4 = 67°
Therefore, the measure of <4 is 67°
If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?
Answers
Answer:
The LCM of 3a and 2b = 6P
Step-by-step explanation:
LCM of 3 a and 2 b will be 6 p
Since a is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......
b is not divisible by 3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....
LCM of a and b is P
Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )
Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)
So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)
The LCM of 3a and 2b = 6P
need help with this Q&A 2
Answers
Answer:
3
Step-by-step explanation:
the y-intercept is the point (or rather just the y coordinate of that point), where the function crosses the y-axis (that means x=0).
it is possibly visible, that this is at y=3.
Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each and they have spent $114.90 on supplies. Write an equation and solve the equation.
Answers
Answer:
Equation: $114.90 + $1.85x = 200
Solution: They can buy 46 tiles.
Step-by-step explanation:
First, subtract 114.90 from both sides to get 1.85x = 85.10.
Divide 85.10 by 1.85 to get 46, which is the answer.
find the measure of an interior angle of a regular decagon (10 sided polygon)
Answers
Answer:
1440°
Step-by-step explanation:
The sum of angles in a polygon is (n - 2)180 where n = number of sides.
A decagon has 10 sides, so n = 10
(10 - 2)180
8(180) = 1440°
Answer:
the answer is 144
Step-by-step explanation:
I need help on this hurry please
Answers
Answer:
x=70
Step-by-step explanation:
sum is angles of a Pentagon=540°
x°+138°+2x°+80°+112°=540°
3x°+330°=540°
3x°=540°-330°
3x°=210°
3x°/3°=210°/3°
x=70
hope this is helpful
Name the marked angle in 2 different ways.
Answers
1) angle UWV
2) angle VWU