Answers
Answer:
Option AStep-by-step explanation:
We can solve this with the help of Pythagoras theorem.
=> (√50)² = x² + x²=> √50 x √50 = x² + x²=> 50 = 2x²=> 25 = x²=> x = 5Hence, the value of x is 5 units.
Answer:
Answer: x is 5 units
Step-by-step explanation:
» From trigonometric ratios,
[tex]{ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]
theta is 45°opposite is xhypotenuse is √50[tex]{ \tt{ \sin(45 \degree) = \frac{x}{ \sqrt{50} } }} \\ \\ { \tt{x = \sqrt{50} \times \frac{1}{ \sqrt{2} } }} \\ \\ { \tt{x = \sqrt{ \frac{50}{2} } }} \\ \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]
Or, from pythogras theorem
[tex]{ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]
a is x, and b is xc is √50[tex]{ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]
Related Questions
for question 18 how do get the answer?
Answers
The total number of ships on both days 2x + 5
The total in all the 5 days is 7x +2
Sum of functionsFrom the given table;
Total number of ships on Monday = x - 4Total number of ship on Tuesday = x + 9The total number of ships on both days = x - 4 + x + 9
The total number of ships on both days 2x + 5
b) To get the total for all the days;
Total for all days = 2x + 5 + 2x + 3x - 7 + 4
Total for all days = 7x + 2
Hence the total in all the 5 days is 7x +2
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Which solution is correct? Be sure to check for extraneous solutions.
[tex]\frac{1}{(y-2)} +\frac{1}{(y+2)} =\frac{4}{y^{2}-2 }[/tex]
A) y = 2
B) y = 1
C) no solution
D) y = −2
Answers
Can somebody please help me with this?
Answers
Answer:
d fasho
Step-by-step explanation:
use the ratio table to find the unit rate with the specified units
Answers
To get this you divide 3 by 3.60
Which ratio is the simplest form of 68:84? A 2:3 B 17:21 C 34:42 or D 21:17? Please help me!
Answers
Answer:
B
Step-by-step explanation:
That is the answer
Answer:
The answer is B 17:21
Step-by-step explanation:
68:84
68/2=34
84/2=42
34:42 but we can also divide again so 34:42 can't be the simplest form of 68:84
so 34/2=17
42/2=21
17:21
Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterior angle.
Answers
Also sum of all the exterior angles of any polygon is 360°
Given (n-2)180° = 3(360°)
=> n-2 = 6
=> n = 8.
Hence the number of sides of a polygon is 8
Covert 6 1/2% to a decimal show work
Answers
Answer:
.065
Step-by-step explanation:
6 1/2 %
=6.5%
=.065
When changing a percent to a decimal, move the decimal point two places to the left.
OR,
percent means per hundred.
(6 1/2)/100
= (13/2)/100
= 13/2 × 1/100
= 13/200
= .065
OR
6 1/2 %
= 6.5/100
=.065
Combine like terms.
34y + 23y =
Answers
Answer:
57y
Step-by-step explanation:
23y+34y = 57y
Enter the number 82.2978 rounded to the nearest hundredth (two decimal places) 82.2978 rounded to the nearest hundredth (two decimal places).82.2 978 rounded to the nearest hundredth two decimal places
Answers
Answer:
82.30
Step-by-step explanation:
Mark your place, look next door, five or greater add one more!
What is the elapsed time between 2:45 and 6:55?
3 hours and 55 minutes
4 hours
4 hours and 55 minutes
4 hours and 10 minutes
Answers
D, Four hours and ten minutes
6 - 2 = 4
55 - 45 = 10
PLEASE help me verify the identity!!
Answers
Step-by-step explanation:
[tex] \frac{ \tan {}^{2} (x) + 1 }{ \tan {}^{2} (x) } = \csc {}^{2} (x) [/tex]
[tex] \frac{ \tan {}^{2} (x) }{ \tan {}^{2} (x) } + \frac{1}{ \tan {}^{2} (x) } = \csc {}^{2} (x) [/tex]
[tex]1 + \frac{1}{ \tan {}^{2} (x) } = \csc {}^{2} (x) [/tex]
[tex]1 + \cot {}^{2} (x) = \csc {}^{2} (x) [/tex]
[tex] \csc {}^{2} (x) = \csc {}^{2} (x) [/tex]
how do you make 2 1/2 in to a % ?
Answers
Answer:
250%
Step-by-step explanation:
an easy way for doing this is look at the 1/2 part because 1 divided by 2 is 0.5 yo move the decimal 2 spaces to the right and you have 050 which is 50 and then you just add the 2 in front of the 50 and you have 250 which in this case is 250%
if the store purchased a kitchen appliance for $42 and sold it for $58.80, what was the percent markup?
Answers
Answer:
40%
Step-by-step explanation:
Percent markup = new price - original price/original price
Do the subtraction first.
58.80 - 42.00 = 16.80
Now do the division
16.8/42 = 0.40
Change the decimal to a percent by moving the decimal two place to the right.
0.40 = 40%
Write an appropriate and interesting word sum for: 439 and 514. Solve it.
Answers
It should be noted that this is addition of numbers and the value will be 953.
Addition of numbersIt should be noted that the question is about an appropriate and interesting word sum for 439 and 514.
This will be Joy has 439 pencils in a bag and Michael has 514 pencils in another bag. How many pencils for they have together?
This will be;
= 439 + 514
= 953.
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Calculate the midpoint of line segment AB with points A(1,4) and B(3,8).
Answers
Answer:
(2,6)
Step-by-step explanation:
Use the midpoint formula: (x1+x2/2, y1+y2/2)
1. What is the variable in the equation 2 - 3x = 14?
Answers
-3x = 14-2
-3x = 12
-3x / -3 = 12 / -3
x = -4
Hi!
The answer to your question would be x
Here's why:
The question is asking to find the variable.
A variable is a letter in a mathematical equation representing an unknown number.
Thus, x would be your variable
I hope this helps!
Have an amazing day/night!
God bless!
A path 5m wide runs around the inside of a square park of side 100m , find the area of the path ,
COMPLETE EXPLANATION ..NO UNWANTED ANSWERS !!
Answers
[tex]\qquad\huge\underline{\boxed{\sf AnSwEr}}[/tex]
[tex]\small\underline\purple{\sf Given}[/tex]
[tex]\sf\longmapsto side \: of \: a \: square \: park \: = \: 100m \: [/tex]
[tex]\sf\longmapsto width \: of \: the \: pathway \: = 5m \: [/tex]
[tex]
\small\underline\purple{\sf To \: find}
[/tex]
[tex]\sf\longmapsto area \: of \: the \: pathway \: [/tex]
[tex]\small\underline\purple{\sf Solution}[/tex]
[tex]\sf\longmapsto side \: of \: inner \: sq \: = 100 - (5 + 5)[/tex]
[tex]\sf\longmapsto 90m[/tex]
[tex]\sf\longmapsto area \: of \: outer \: sq \: = 90 \times 90 {m}^{2} [/tex]
[tex]\sf\longmapsto 8100 {m}^{2} [/tex]
[tex]\sf\longmapsto area \: of \: pathway \: \: = \: area \: of \: outer \: - \: inner \: [/tex]
[tex]\sf\longmapsto 10000 - 8100[/tex]
[tex]\sf\longmapsto 1900 {m}^{2} [/tex]
Hope it helps ~
If hospital ICU room rates are $784.00 per day, how many days was a patient in ICU if their total room charge is $10,192.00?
Answers
13 days
Step-by-step explanation:
The easiest way to calculate this is to take the total room charge ($10,192.00) and divide by the room rate per dayday ($784.00). This equation looks like 10,192 ÷ 784 = 13
This works out because you are just trying to see how many times that one day charge will fit into the total cost charge.
Hope this helps you out. If you have any questions feel free to comment! :)
Determine any data values that are missing from the table, assuming that the data represent a linear function. x y -1 2 0 3 4 2 a. Missing x:1 Missing y:2 c. Missing x:1 Missing y:6 b. Missing x:1 Missing y:5 d. Missing x:2 Missing y:5 Please select the best answer from the choices provided A B C D
Answers
The missing data values of the linear function are: B. missing x: 0 missing y:1
What is the Equation of a Linear Function?The equation, y = mx + b represents a linear function, where m is the slope and b is the y-intercept of the function.
Find the slope using two given pairs of points from the table, (-9, 3) and (-6, 2):
Slope (m) = change in y/change in x = (3 - 2)/(-9 -(-6))
Slope (m) = 1/-3 = -1/3.
Find b by substituting (x, y) = (-9, 3) and m = -1/3 into y = mx + b:
3 = -1/3(-9) + b
3 = 3 + b
3 - 3 = b
0 = b
b = 0
Plug in m = -1/3 and b = 0 into y = mx + b
y = -1/3x
Use the equation to find the missing data values:
When y = 0, x would be:
0 = -1/3x
x = 0
When x = -3, y would be:
y = -1/3(-3)
y = 1
The missing data values are: B. missing x: 0 missing y:1
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In the equation y=x-9 the variable to y is the ?
Answers
Answer:
-9
Step-by-step explanation:
This equation is written in slope-intercept form. -9 represents the y-intercept, and x represents the slope, which is positive one over one.
Whats the next number in this pattern
2,3,5,9,17
. 34, 31,32,33
explain how you got the answer too
Answers
Answer:
33
Step-by-step explanation:
to get from 2 to 3 you add 1
to get from 3 to 5 you add 2
to get from 5 to 9 you add 4
to get from 9 to 17 you add 8
as you can see the numbers are doubling each time you add on
to get the next number double 8 = (8 × 2) = 16
so now 17 + 16 = 33
the next number is 33
To get from 2 to 3 you add 1
To get from 3 to 5 you add 2
To get from 5 to 9 you add 4
To get from 9 to 17 you add 8
Each time the number doubles
Write an equation that represents the following statement. Five less than the product of r and two is 3.
Answers
QUESTION ON PIC THX!
Answers
which inequality does the shaded region in the graph above represent
Answers
Answer:
a. y > 2x +3
Step-by-step explanation:
Your worksheet tells you that the > and < symbols will show as a dashed line. That eliminates the last two choices. (They use the ≥ and ≤ symbols.)
The shading is above the line, so the appropriate relation is the one that includes y-values greater than those on the line:
y > ... (matches choice a.)
Solye for r.
r - 4.5 < 11
Answers
Answer:
r < 15.5
Step-by-step explanation:
r - 4.5 < 11
+ 4.5 + 4.5
r < 15.5
r can be any number less than 15.5
Identify the domain and range of the function f(x) = -2x2 + 10x + 2.
Answers
Answer:
Step-by-step explanation:
range is the y values or ouputs
domain is inputs or x vvalues
we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value
-b/2a=-(-6)/(2*2)=6/4=3/2
plug that in
2(3/2)^2-6(3/2)-9
2(9/4)-9-9
9/2-18
4.5-18
-13.5
domain=all real numbers
range=from -13.5 to positive infinity
mark me as brainliest
The domain and range of function is Domain: (−∞,∞), {x| x ∈ R},
Range: (−∞, 29/2], {y| y ≤ 29/2}.
What is domain and range?The constituent parts of a function are its domain and range. A function's domain is the set of all its input values, and the function's range is the possible output. Range, Function, and Domain. If the function f exists: A is the domain and B is the co-domain if every element in A is mapped to elements in B. Under the relation R, the image of the element a is represented by b, where (a, b) ∈ R.
Given function
f(x) = -2x² + 10x + 2.
range is the y values or ouputs
domain is inputs or x values
we can use any x value
but at a certain y value, w can't go below that
find that minimum
find the vertex
for
ax² + bx + c
the x value of the vertex is
-b/2a
plug that in to the equation to get the y value
-b/2a = -10/(-4) = 5/2
substitute value of x
f(x) = -2x² + 10x + 2
f(x) = -2(5/2)² + 10(5/2) + 2
f(x) = -25/2 + 50/2 + 2
f(x) = 29/2
Domain: (−∞,∞), {x| x ∈ R}
Range: (−∞, 29/2], {y| y ≤ 29/2}
Hence, Domain: (−∞,∞), {x| x ∈ R}
Range: (−∞, 29/2], {y| y ≤ 29/2}.
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Solve this put it in an equation and show your work
Answers
Answer:
[tex]y = -\frac{5}{2}x +30[/tex]
Situation: You start out with $30 and spend $2.50 every day on a soda.
Step-by-step explanation:
The equation of a line is y = mx + b
b = y-intercept
m = slope, rise/run
The line crosses the y axis at 30, so b is 30
Now for the slope, rise/run.
Start at 30 on the y-axis and go down to 25, that is a rise of -5. Now you are at (0, 25) on x-axis. Move right to the point (2, 25). The run is 2.
m = -5/2
The equation of the line is y = -5/2x + 30
Sienna listened to music on her phone while she exercised at the gym. If she listened to 12 songs and each song was at least 35 minutes long, how many minutes did she spend exercising? Inequality Solution please help :(
Answers
12x ≥ 420
is solution, simple
Please solve this.
..
Answers
Slope = -26 - (-14) / 8-4
Slope = -12 / 4
Slope = -3
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number
Answers
the answer is 2 2/3
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