Step-by-step explanation:
the other answer is correct and simple (based on simply applying definitions and formulas).
to help you with understanding the background there are actually 2 direct ways to solve this.
trigonometry is always about angles in a circle. even if and when we are taking about angles in other shapes like triangles. we simply need to imagine a circle around the shape in question going through the important points.
so the first way is to imagine a circle with the center in point C and going through point A.
the radius of that circle is 40 (AC).
so, sin(C) × 40 = 24
cos(C) × 40 = 32
tan(C) = sin(C)/cos(C) = (sin(C)×40)/(cos(C)×40) = 24/32
= 3/4
fit the second way imagine a circle with the center again in point C and going through point B.
the radius of that circle is 32 (BC).
here now tan(C) × 32 = 24 (AB).
yes, AB would in that scenario be directly tan(C), but it is multiplied by the radius.
so, to get the "pure" tan(C), we need to divide this length by the radius.
=> 24 / 32 = 3/4
if f(x)=-3+10 find f(4)
Answer:
A) -2
Step-by-step explanation:
Plus 4 in place of x
f(x) = -3x+10
f(4) = -3*4+10
f(4) =-12+10
f(4)=-2
what does it mean to find the net change of something?
The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters, w, of the pool?
Answer:
Step-by-step explanation:
The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters,
Suppose 1/4 of students in your school
were trying out for a spring sport. How
many students would you have to select
randomly, in order to get 15 students who
were trying out for a spring snort?
Answer: 60 students i think
A student is collecting dimes and quarters as a fundraiser for their CAS project. After the first week, they tasked a younger sibling to count them up, who found there to be 211 coins. After taking the coins to the bank, the student was given $37.30. Find how many dimes did the student collect, and how many quarters did the sudent collect?
Answer: [tex]103,108[/tex]
Step-by-step explanation:
Given
There are total of 211 coins
The worth of the coins is [tex]\$37.30[/tex]
Suppose there are x dimes and y quarters
A dime is equivalent to 10 cents and quarter is equivalent to 25 cents
[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
[tex]x=103,y=108[/tex]
Therefore, student collects 103 dimes and 108 quarters.
NEED HELP ASAP PLEASE ILL GIVE BRAINLIEST!!!
Answer:
the answer is in the picture
Step-by-step explanation:
In Toss-N-Turn at the County Fair, contestants flip a fair coin and then spin the pointer of a spinner with seven equal sections, numbered 1–7. Contestants win if the coin lands heads up and the pointer lands on an even number.
If Paulina wants to win a prize, should she play Toss-N-Turn or a different game that has a theoretical probability of winning of 15
1
5
? Explain
Answer:
will for here to win a prize from a toss n turn or another game would be impossible first of all she has to get it a heads if she gets it a head that's good now the next thing she has to land it on a even number if she passes that she gets a prize but it is impossible for here to get a prize in a 1 out of 5 flip chances
Step-by-step explanation:
Answer:
i need points sorry
Step-by-step explanation:
Answer 2. 3. And 4.
Answer:
For question 2 :
1 <
2>
3=
Step-by-step explanation:
Basically those triangle arrow things are called 'greater than signs'
So , you need to say which number is bigger than the other or if they are equal. For example :
3>1
1<7
1=1
Answer:
2. 786.20 is greater than 476.2 593.99 is greater than 59.399 and the last one are equal to each other 3. 12 quarts of flour 4. Go up three and to the right three
Step-by-step explanation:
Hope this helps you out
Plzzzz helpppppppp!!!!!
Answer:
I say electrons
Step-by-step explanation:
It has more electrons than protons so it becomes - charged
The Sum Of 2 Numbers are -11 and their difference is 41.
Answer:
15 and - 26
Step-by-step explanation:
let x and y be the 2 numbers , x > y
x + y = - 11 → (1)
x - y = 41 → (2)
Add the 2 equations term by term to eliminate y
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = - 11 ( subtract 15 from both sides )
y = - 26
The 2 numbers are 15 and - 26
This is due at midnight need help ASAP
Answer:
hiiii i would love to answer yoyr question all you have to do is the bottom line which is x from the 1 count all the way until 5 and that is your answer for the first one and then for the y from the 4 count all the way until the 13 and that will give you your answer so ( , )
Can you find the square’s perimeter
I’m marking branliest
Answer:
[tex] \large{ \tt{♕ \: EXPLANATION }}: [/tex]
Firstly , What do you mean by square ? - A parallelogram in which all sides are equal & each angle is 90° is called a square.Here , We're provided a figure of square with the length ( L ) of ( 4x - 8 ) & we're asked to find out the perimeter of given square. Let's get started ![tex] \boxed{ \large{ \tt{✺ \: PERIMETER \: OF \: SQUARE \: ( \: P \: )= 4l}}}[/tex]
- Plug the value of length ( L ) of square :
[tex] \large{ \tt{↬P = 4(4x - 8)}}[/tex]
- Distribute 4 through the parantheses :
[tex] \large{ \tt{↬P = 4 \times 4x - 4 \times 8}}[/tex]
[tex] \large{ \boxed{ \tt{↬P = 16x - 32 \: units}}}[/tex]
✺ Hardwork will never disappoint you! ♪
♡ Hope I helped! ツ
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Find the value of x.
Answer:
x = 16
Step-by-step explanation:
Angles in a triangle add up to equal 180
Hence, 9x - 8 + x + 10 + x + 2 = 180
^ ( note that we just created an equation that we can use
to solve for x )
We now solve for x using the equation created.
9x - 8 + x + 10 + x + 2 = 180
step 1 combine like terms
9x + x + x = 11x
-8 + 10 + 2 = 4
we now have 11x + 4 = 180
step 2 subtract 4 from each side
180 - 4 = 176
4 - 4 cancels out
we now have 11x = 176
step 3 divide each side by 11
176 / 11= 16
11x / 11 = x
we're left with x = 16
The equation y= ax describes the graph of a line. If the value of a is negative,
the line:
A. goes down and to the left.
B. is vertical.
C. goes up and to the left.
D. is horizontal.
Answer:
Goes up and to the left
Step-by-step explanation:
If the value of a is negative, the line is going down and to the left.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is that the equation {y} = ax describes the graph of a line.
It is asked to find that if the value of {a} is negative, then what would be the orientation of the line.
The general equation of a straight line is -
y = mx + c
Here {m} denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}. So, we can write that the orientation of the line is going down and to the left.
Therefore, if the value of a is negative, the line is going down and to the left.
To solve more questions on straight line, visit the link-
https://brainly.com/question/29223887
#SPJ7
What are the zeros of the function below? Check all that apply
Answer:
-7. is the answer so tick it mark me brainlist
Answer:
1, -1
Step-by-step explanation:
just took the test
Lian has $1.00. She has only nickels and dimes. Lian has twice as many dimes as nickels. How many dimes does she have?
Answer: 8
Step-by-step explanation:
Given
Lian has [tex]\$1.00[/tex] and she has twice as many dimes as nickels
Suppose she has [tex]x[/tex] nickels
So, the number of dimes is [tex]2x[/tex]
Nickel is equivalent to 5 cents and dime is equivalent to 10 cent
[tex]\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4[/tex]
Therefore she has 8 dimes with her.
Who could help me please and thank you
To write the equation of a line in slope-intercept form, there are two things we need: the y-intercept and the slope.
To find the y-intercept using a graph is relatively easy. We are looking to see where the line crosses the y-axis. In this case, that is at the point (0,4).
To find the slope, we need to first find two points that are on the line. I will be using the points (0,4) and (2,5), though you can use any two that you would like. Then, we'll need to use the slope formula (y2 - y1 / x2 - x1).
(5 - 4) / (2 - 0)
1 / 2 = slope
Now that we have the slope and y-intercept, we can simply plug those values into slope intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Therefore, our equation of the line in fully simplified slope-intercept form is y = 1/2 x + 4.
Hope this helps!! :)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-intercept form is: y = mx + b
The slope is 1/2 (mx)
Up 1, Over 2, which is the space between each dot.
The y-intercept is 4 (b)
The point where the line crosses the y-axis.
y = 1/2x + 4
Hope this is correct for you!
Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?
Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
8, 10, 3, 9, 12, 4, 3
Median Mode
Mean
Range
Answer:
the Midian is 9
mode is 3
mean is 6
it ranges from 3 to 12
21 POINTS HELPPPP
ASAP
Answer:
-3 1/4 + 4 3/4= 1 1/2
Step-by-step explanation:
A bag contains 2 green marbles and 5 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replaced. then the second marble is drawn.
What is the probability that the first marble is red and the second one is green
Answer:
.8
Step-by-step explanation:
If m is a common divisor of x and y, then x/y = (x ÷ k)/______
Answer:
[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]
Step-by-step explanation:
The common divisor is the greatest natural number so that two or more natural numbers have no remainder. If [tex]m[/tex] is a common divisor of [tex]x[/tex] and [tex]y[/tex], then [tex]p = \frac{x}{m}[/tex] and [tex]q = \frac{y}{m}[/tex], where [tex]p[/tex], [tex]q[/tex] [tex]\in \mathbb{Z}[/tex]. Then, we have the following expression:
[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]
HELP PLEASE! I'M STUCK, THANK YOU!
Answer:
Negative.
Step-by-step explanation:
You can see the line is declining. The y value is decreasing.
Always read the line from left to right, you’ll easily see it’s a negative slope.
Answer:
It's negative
Step-by-step explanation:
It's going from top to bottom so it's gotta be negative
quentin is going to buy a pair of pants that cost $32.50. he has a coupon for 20% off the price of one item and another coupon for $5.00 off the price of one item. he can only use one coupon. which coupon should quentin use to save the most money
Answer:
20% coupon
Step-by-step explanation:
20% of 32.50 = 6.5
32.50 - 6.50 = 26
32.50 - 5 = 27.50
26 is less than 27.50, therefore, the 20% off coupon should be used to save him $1.50.
A zoo measured the wingspan, in millimeters of 9 butterflies What is the median length of the wingspan
Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows. Write an equation to show how many lawns Tim must mow in order to have enough money for his new sound system.
Step 1: Define your variable:
Step 2: Place the total or what you are trying to get on the right side of the equals sign 145:
Step 3: Figure out what goes on the left side of the equals sign (the other numbers in the problem with the variable).
Step 4: Solve N =
SOMEONE HELP ME WITH MY HOMEWORK I WILL LOVE U FOREVER
Answer:
4 lawns
Step-by-step explanation:
$145=$65+N*$20
where N= no. of lawns he needs to now
$80=$20N
N=4
Identify the conditionals and truth values implied by the following biconditional. Select all that apply.
Answer:
I believe the answer is B and C
Step-by-step explanation:
Juan is a teacher and takes home 68 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Juan have remaining to grade after working for 7 hours?
Answer:
26 papers
Step-by-step explanation:
Well this is pretty straight forward
if he can grade 6 papers an hour
we just multiply 6 by 7 to get how many papers he graded in 7 hours
6*7= 42
now we subtract 42 from 68 to get how many papers are left to be graded
68-42=26
26 papers are left
If I think of a number halve it and subtract 2 results is 10.write equations and solve it please
Answer:
24
Step-by-step explanation:
let 'x' = number
x/2 - 2 = 10
add 2 to each side to get:
x/2 = 12
cross-multiply to get:
x = 24
Answer:
The equation is (x/2) - 2 = 10The equation solves to x = 24============================================================
Explanation:
x = the number you think of
x/2 = the result after taking half of that number
(x/2) - 2 = subtract 2 from the previous result
(x/2) - 2 = 10 is the equation to solve
Solving said equation gets us...
(x/2) - 2 = 10
x/2 = 10+2 ... adding 2 to both sides
x/2 = 12
x = 12*2 ..... multiplying both sides by 2
x = 24
Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24
-----------------
Let's check that answer:
x = 24
x/2 = 24/2 = 12 ... result after taking half of x
(x/2) - 2 = (12)-2 = 10 ... result after subtracting two
We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.
------------------
Here's another way to check:
(x/2) - 2 = 10
(24/2) - 2 = 10
(12) - 2 = 10
10 = 10
We end up with the same thing on both sides, so x = 24 is confirmed.
FT is tangent to OP at T. If FP = 39 and FT = 36, what is PT?
39
T
36
A 20
B. 12
C. 3
D. 15
Answer:
[tex]D) 15[/tex]
Step-by-step explanation:
[tex]39^{2}=36^{2} +PT^{2}[/tex]
[tex]PT^2=39^2-36^2[/tex]
[tex]PT=\sqrt{39^2-36^2}[/tex]
[tex]PT=15[/tex]
------------------------
hope it helps...
have a great day!!