Answer:
26
explination
10^2+24^2=26^2
Pleas help!! Trigonometry! Picture Attached!!
6. sec0= 20
0= ____
Answer:
tan theta = -1
we know tan = opposite/ adjacent
So opposite/adjacent = -1
Multiply by adjacent on each side
opposite = - adjacent
We also know from pythagorean theorem that
opposite ^2 + adjacent ^2 = hypotenuse ^2
Substituting in for adjacent
opposite ^2 + (-opposite ) ^2 = hypotenuse ^2
opposite ^2 + opposite ^2 = hypotenuse ^2
2 opposite ^2 = hypotenuse ^2
Taking the square root on each side
sqrt(2 opposite ^2) = sqrt(hypotenuse ^2)
sqrt(2) opposite = hypotenuse
We are now set to find the sec
sec theta = hypotenuse / adjacent
= sqrt(2) opposite/ adjacent
Replace the opposite = -adjacent
= sqrt(2) (-adjacent)/adjacent)
= -sqrt(2)
Step-by-step explanation:
Answer:
tan theta = -1
we know tan = opposite/ adjacent
So opposite/adjacent = -1
Multiply by adjacent on each side
opposite = - adjacent
We also know from pythagorean theorem that
opposite ^2 + adjacent ^2 = hypotenuse ^2
Substituting in for adjacent
opposite ^2 + (-opposite ) ^2 = hypotenuse ^2
opposite ^2 + opposite ^2 = hypotenuse ^2
2 opposite ^2 = hypotenuse ^2
Taking the square root on each side
sqrt(2 opposite ^2) = sqrt(hypotenuse ^2)
sqrt(2) opposite = hypotenuse
We are now set to find the sec
sec theta = hypotenuse / adjacent
= sqrt(2) opposite/ adjacent
Replace the opposite = -adjacent
= sqrt(2) (-adjacent)/adjacent)
= -sqrt(2)
Step-by-step explanation:
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
9 weeks
Step-by-step explanation:
divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity
(x sin a + y cos a)^2 + (x cos a – y sin a)^2 = x^2 + y^2
Answer:
Proved
Step-by-step explanation:
Required
Prove that:
[tex](x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2[/tex]
Solving from left to right:
Open brackets
[tex](x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2[/tex][tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2[/tex]
Collect Like Terms
[tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a - 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]
[tex]x^2\ sin^2 a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]
Collect Like Terms
[tex]x^2\ sin^2 a + y^2\ sin^2 a + x^2\ cos^2 a + y^2\ cos^2 a = x^2 + y^2[/tex]
Factorize:
[tex](x^2 + y^2)\ sin^2 a + (x^2 + y^2) cos^2 a = x^2 + y^2[/tex]
Further factorize
[tex](x^2 + y^2)(sin^2 a + cos^2 a) = x^2 + y^2[/tex]
In trigonometry:
[tex]sin^2 a + cos^2 a = 1[/tex]
So, we have:
[tex](x^2 + y^2)(1) = x^2 + y^2[/tex]
[tex]x^2 + y^2 = x^2 + y^2[/tex]
Proved
An electrician has 4.1 meters of wire.
a. how many strip 7/10m long can he cut?
b. how much wire will he have left over
Craig invests $350 in a savings account that earns 1.5% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account
after 2 years?
Answer:
Step-by-step explanation:
Kyra invested $15,000 of her money at a 1.8% per year bank rate. ... What is Kyra's account balance, to the nearest cent, after: Year 1? Year 2? ... -Compounded interest adds interest not only to your principle amount, but your ... 5) Suppose you deposit $3,000 into an account that earns 6% compounded annually
look at the diagram, how do you know that y is not directly proportional to x.
Step-by-step explanation:
If y was directly proportional to x, the graph of y against x would pass through the origin (O).
Since the graph above does not show this, y is not directly proportional to x.
James worked for 8 hours mowing lawns; he earned 68 dollars. How much would he
earn if he worked for 10 hours?
Answer:
$85
Step-by-step explanation:
First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10 which equals 85. Brainliest?
lmk if u cant see it correctly but please someone help me out ♀️
Soz to bother ya with an incorrect answer, but we cant see it clearly. try screen snipping?
Michael has a bag with 38 coins in his backpack consisting of nickels, n, and quarters,q. If he has a total of $4.50, how many nickels, n, does he have?
Answer:
25 Nickles
Step-by-step explanation:
n + q = 38
0.05n + 0.25q = 4.50
n + q = 38
q = 38 - n
0.05n + 0.25q = 4.50
0.05n + 0.25(38 - n) = 4.50
0.05n + 9.5 - 0.25n = 4.50
-0.2n + 9.5 = 4.50
-0.2n = 4.50 - 9.50
-0.2n = -5
-0.2n/0.2 = -5/0.2
-n = -25
-n/-1 = -25
n = 25
Whats the slope and y-intercept of y=-3x+4?
Answer:
slope= -3. y intercept is 4
Step-by-step explanation:
the x value is slope and the y value is y intercept.
REMEMBER THIS!!! ITS SUPPPER IMPORTANT
Answer:
[tex]\boxed {\sf m= -3}}[/tex]
[tex]\boxed {\sf b= 4}[/tex]
Step-by-step explanation:
The equation of the line is in slope intercept form or:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Essentially:
The coefficient to x, or number being multiplied is the slope The number added or subtracted from the x term is the y-interceptThe line given is:
[tex]y= -3x+4[/tex]
-3 is the coefficient of x and 4 is being added to -3x.
The slope (m) is -3 and the y-intercept (b) is 4.
If f(x) = 2x2 + 7, find f(-3) =
What’s the f(-3)
Answer:
replace the x with -3
Step-by-step explanation:
if you ever have f(x) = 'insert equation' and then it says find f('insert number'), you replace what ever variable is after the first 'f' with the number after the second 'f'. hope this helped!
A tree casts a 52 ft. shadow. A boy who is 5.5 ft. tall casts a shadow 6.5 ft. long. How tall is the tree?
Answer:58.5 that is your answer
Brayden bought three 4 for 4 McDouble meals from McDonald’s (4 items for $4). What was his total cost after a 7% sales tax? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!!)
A. 52.90
B. 1.04
C. 12.84
D. 458
E. 5x-8y+7
F. 25.30
Which equation represents a proportional relationship? y = -2 O y = -5 (x + 1) y= 1 5.1 O y= 5x + 1
Answer:
the first one....
Step-by-step explanation:
Thank u....
What is the slope of the line -3y = 12x + 6?
Answer:
-4
Step-by-step explanation:
Let us rearrange this equation by dividing both sides by (-3):
y=-4x-2
And since the equation of a line is y=mx+b, where slope=m,
then the slope of our line is -4
I hope this helps! :)
Slope of the line -3y = 12x + 6 is -4.
What is slope intercept - form of line?The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as:
y = mx + b.
Given,
Equation of the straight line
-3y = 12x + 6
Dividing by -3 on both side
y = 12x/-3 + 6/-3
y = - 4x - 2
Comparing the above equation with slope - intercept form equation of line
y = mx + b
where m is slope and b is vertical intercept.
Slope of the given line
m = -4
Hence, - 4 is the slope of the line -3y = 12x + 6 .
Learn more about slope - intercept form of line:
https://brainly.com/question/29146348
#SPJ5
The larger of two numbers is 3 more than six times the smaller. the difference of the larger number and the smaller number is 8. find the numbers
Answer:
Step-by-step explanation:
x > y
x = 6y + 3
x-y = 8
(6y+3) - y = 8
5y + 3 = 8
y = 1
x = 6y + 3 = 9
Complete the statements to make them true.
A cube root function will (sometime/always/never) have an x-intercept and (never/sometimes/always) have a y-intercept. For the parent cube root function, (only the y-intercept is/only the x-intercept is/both intercepts are) located at (0,0)
Answer:
Always, always, both intercepts
Step-by-step explanation:
A cube root function will always have an x-intercept and always have a y-intercept. For the parent cube root function, both intercepts are located at (0,0).
A cube root function, represented as f(x) = ∛x, will always have an x-intercept and always have a y-intercept.
An x-intercept is a point where the graph of the function crosses the x-axis, and a y-intercept is a point where the graph crosses the y-axis.
For the cube root function, the x-intercept occurs when the input value x is equal to 0. When x is 0, f(x) = ∛0 = 0, which means the function crosses the x-axis at (0, 0).
Similarly, for the cube root function, the y-intercept also occurs at the point (0, 0). When x is 0, f(x) = ∛0 = 0.
so the function also intersects the y-axis at (0, 0).
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ2
84+9-3+2x76_20=?
i need annwer
Answer: 222
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
It Ariana grande but when that person reported me my brainlist got taken away
Step-by-step explanation:
A computer costs $849.75 and the hard drive is 61.3% of the total cost. What is a reasonable estimate for the cost of the hard drive?
Please help me.
Answer:
$520.437
Step-by-step explanation:
Answer:
NO
Step-by-step explanation:
What is the standard form of the polynomial
7x - 125 - 6x4 + 14x2
Answer:
Step-by-step explanation:
Writing the polynomial according to the decreasing value of the exponents, the polynomial in standard form is given by:
[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]
In a standard form polynomial, the terms with the highest exponents always come first.
In this problem, the exponents are, in order, 1, 0, 4 and 2. Thus, first should come the term with exponent 4, then the term with exponent 2, then exponent 1 and finally the term with exponent 0. Thus, the polynomial in standard form is given by:
[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]
A similar problem is given at https://brainly.com/question/21328461
If I make $84000 a year, how much is that per month?
Answer:
$|-7000|
Step-by-step explanation:
divide 84000 by 12 = 7000
Answer:
7,000.00
Step-by-step explanation:
if you have 84,000 and divide it by 12 you would get 7,000.
Please help me on this!!
Answer:
TW = ST
Step-by-step explanation:
RS = RW (Given)
RT = RT (reflexive property)
This makes ∆RST congruent to ∆RWT based on the reflexive property of congruence.
Therefore, the third corresponding sides, TW and ST would be congruent to each other.
Thus:
TW = ST
Solve the following equation for X. X=
-2x – 3.2 – 15 = 20
Answer:
x = -7
Step-by-step explanation:
-2x - 3x = -5x
so then its -5x - 15
you then add 15 to both sides which gives you -5x = 35
divide -5 from each side to get the answer
-7 = x
Step-by-step explanation:
-2x - 3x -15 = 20
-5x = 20 + 15
-5x = 35
x = 35/-5
x = -7
What is 11/12 minus 7/9 equal
Answer:
5/36
Step-by-step explanation:
We need the least common denominator for 12 and 9.
12 = 2^2 * 3
9 = 3^2
LCD = 2^2 * 3^2 = 4 * 9 = 36
11/12 - 7/9 = 33/36 - 28/36 = 5/36
DONT HAVE MANY POINNNNTSSSS
do this correct answer may get brainliest
Answer:
I think its D
Step-by-step explanation:
Sorry if its wrong
Manny runs 15 3/4miles each week. Zander runs
5/6
olu
as many miles each week as Manny.
How many miles does Zander run each week?
Answer: Zander Runs, 13.125 miles. You take the mixed number and change it into an improper fraction. So you get 63/4 then multiply that by 5/6 and get 13.125 miles there is your answer. I hope this helps you
Step-by-step explanation:
what is the area of the figure below i ready
Answer:
43 in^2
Step-by-step explanation:
Answer:
43in^2
Step-by-step explanation:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
17 x 9 = 153
Step-by-step explanation:
the answer is 153
Question 2
A toy spinner found in a kindergarten classroom is shown below.
Each of the six sections of the spinner are equal. What percentage and decimal equivalent of the spinner is represented by the star?
Answer
F 1% and 1.6
6
G 0.6% and 0.6
H 16% and 0.166
J 60% and 0.60
Answer:
answer J
Step-by-step explanation:
srry if im wrong hope it helps:)
Write an equation that represents the line.
Use exact numbers.
Step-by-step explanation:
at 2=-2
at -3= -6
[tex]y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b[/tex]
[tex] - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8[/tex]
[tex] - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6[/tex]
[tex]y = 0.8x - 3.6[/tex]
