A circle centered at the origin has a radius of 13. The terminal side of an angle x, intercepts the circle in quadrant IV at point C. The x coordinate of point C is 12. What is the value of sin x
Answer:
[tex]sin x=-\frac{5}{13}[/tex]
Step-by-step explanation:
From the question we are told that:
Radius [tex]r=13[/tex]
Co-ordinate of x axis at C [tex]x'=12[/tex]
Let
x' represent the x axis
y' represent the y axis
Since the intercept across the radius has values on the x' and y' axis
Therefore
Generally the Trigonometric equation for cos x is mathematically given by
[tex]cos x=\frac{x'_c}{r}[/tex]
[tex]cos x=\frac{12}{13}[/tex]
Generally the Trigonometric equation for sin x is mathematically given by
[tex]sin x=\sqrt{1-cos^2x}[/tex]
[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]
[tex]sin x=\frac{5}{13}[/tex]
Since x is in the IV quadrant sin x is negative
[tex]sin x=-\frac{5}{13}[/tex]
Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2
Answer:
[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]
Step-by-step explanation:
Given :-
Quotient is x–3, remainder is 7x–9 and divisor is x^2-2 .And we need to find out the Dividend. We know that ,
[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]
Substituting the respective values :-
[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]
simplify the following expression
Answer:
10m^3+10m^2+100m these is the answer to your question
Which angles are adjacent angles?
Answer:
<KLN and <MLN
Step-by-step explanation:
adjacent angles have a common vertex and a common side
which expression is equivalent to the one below
What is 3½ tons =___pounds?
Answer:
7,000 LBs
Step-by-step explanation:
1 ton is 2,000, half of a ton is 1,000
Answer:
7000 lbs
Step-by-step explanation:
The formula for tons to pounds is to multiply the value by 2000
any tips on how to do this?? i have no clue how
Answer:
6.7
Step-by-step explanation:
For this questions we have the oppsotie side and need the adjacent
out of SOH, CAH, TOA we will sue TOA
tan(56)=10/x
tan(56)/10=1/x
10/tan(56)=x
x=6.745 which rounds to 6.7
Would you help me solve this question with steps? It would really help, and thank you.
5x + 3y = 6
Answer's too short so here's some extra text.
2x-56=34 solve for x
Answer:
x = 45
Step-by-step explanation:
2x - 56 = 34
2x = 34 + 56
2x = 90
x = 45
Answer:
x = 45
Step-by-step explanation:
2x-56=34 add 56 to both sides
2x = 90 divide both sides by 2
x = 45
41X - 164 =
1271 Find X
41x - 164 = 271
x = 35
Answer:
x= 35
Step-by-step explanation:
1271 + 164 = 1435
1435/41 = 35
The horizontal cross section shown is a parallel to the base of the pyramid is the shortest side of the cross-section measures 1.2 cm what is the measure of the cross
Answer:
The longest side of the cross-section is: [tex]2.4cm[/tex]
Step-by-step explanation:
Given
See attachment for pyramid
Required
The longest side of the cross-section
The base of the pyramid is a rectangle with the following dimension (in terms of length)
[tex]Long = 6cm[/tex]
[tex]Short = 3cm[/tex]
For the cross-section, we have:
[tex]Long = x[/tex]
[tex]Short =1.2cm[/tex]
Since both are parallel, then the following relationship exist between both
[tex]Ratio = Long : Short[/tex]
So, we have:
[tex]6cm : 3cm = x: 1.2cm[/tex]
Express as fraction
[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]
[tex]2= \frac{x}{1.2cm}[/tex]
Make x the subject
[tex]x = 2 * 1.2cm[/tex]
[tex]x = 2.4cm[/tex]
Which of the following is irratonal?
A.√2
B.√1.44
C.√1
D.√4
Answer:
I think that it is C. hope this is correct
11, 16, 12,7, 23, 9, 5, 5
What is the median of the data?
Answer: Median: 10
Step-by-step explanation:
Answer: 10
Step-by-step explanation: First you place the numbers in order from least to greatest (5,5,7,9,11,12,16,23) then you take away one from each side at a time so 5,23 then 5,16 etc. you end up with 9 and 11 left so you find the middle of 9 and 11 which is 10.
hellpppppppppppp...
'
Answer:
1 1/2
one and one half.
Step-by-step explanation:
Answer:
81/16
Step-by-step explanation:
Can someone plz help me out with this I’ll give b... plz I beg u ( i do t know how to spell it but u know what I mean)
Answer:
I think it might be 0.3 i'm not sure though
Step-by-step explanation:
helpUeowusjeven?!!! i
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is $
Answer:
I'm pretty sure it's $5.00.
A coin is tossed 10 times. 4 of the 10 tosses result in heads. What is the THEORETICAL probability of landing on heads
Answer:
1 /2
Step-by-step explanation:
The theoretical probability is the possibility of an event occurring based on reasoning and not on the outcome of a trial or experiment. Hence, for the question above, the outcome of the tosses or trials would have no effect on the theoretical probability that a coin lands oon head or tail.
Theoretical probability of an event =
Favorable outcome / Total possible outcomes
Favorable outcomes = number of heads in a coin = 1
Total possible outcomes = number of faces on a coin = 2 (head and tail)
Therefore,
Theoretical probability of landing on head = 1 /2
plz help ill give brainlist 5.0 and say thanks !!need help now
Answer:
D.
Step-by-step explanation:
4 x (26 + 72) is 4 time more than the expression of 26 + 72
f(x)=x^2. What is g(x)?
A. g(x)=-x^2
B. g(x)=x^2-2
C. g(x)=-2x^2
D. g(x)=-x^2-2
Answer:
c g(x)=2x^2
Step-by-step explanation:
hi
What is the mean of the distribution
the awnser is 799 by 983
Step-by-step explanation:
1. What shape is a normal distribution curve?
Answer:
bell-shaped curve
Step-by-step explanation:
A density curve is scaled so that the area under the curve is 1
A fish tank has a length of 45cm, width of 25 cm and a depth of 10cm.
What is the volume of the fish tank?
10250 cm3
11250 cm3
10520 cm3
Answer:
11250 cubic cm======> Jazmine
what is the area of the figure?
Answer:
[tex] 88 \: {in}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in
[tex] = 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2} [/tex]
would someone pls help me this is math and rn I have a D+ so if I get all my question or at least some I will get an A or A+
Answer:
The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].
Step-by-step explanation:
Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].
Does anyone know plz help soon
Answer:
2,4
Step-by-step explanation:
what is (3 + 12) - 3² + 8 · 2 ÷ 4 ?
(please show how/ show work)
Answer:
10
Step-by-step explanation:
(3 + 12) - 3² + 8 · 2 ÷ 4
15 - 9 + 16 : 4
6 + 4
10
the
percentage
fraction and
de cimal
number
5%
17 %
3.5 %
Answer:
are you asking to convert to fractions and decimals?
1. .05 1/20
2..17 or 17/100
3. 7/2
"The more miles a person runs, the more calories the person burns."
Which scatter plot supports this statement?
Answer:
D
Step-by-step explanation:
every time the mile increases he burns more calories you can see that when you look at it closely
What is the meaning of f '' (4) = -4?
Hi there!
f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.
Answer:
Step-by-step explanation:
if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum