Select the correct answer.
Consider this equation.
cos(9) =
V11
5
If & is an angle in quadrant I, what is the value of sin(0)
OA.
V14
5
B.
154
11
OC.
14
5
0D.
154
11
Answers
Answer:
c
Step-by-step explanation:
because x=9
Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].
What is the sin theta?Sin theta is defined as the ratio of perpendicular and hypotenuse.
The given equation is;
[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]
The cos[tex]\theta[/tex] is given by;
[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]
By applying Pythagoras theorem the value of base is;
[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]
The value of sin[tex]\theta[/tex] is;
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]
Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].
Learn more about trigonometry here;
https://brainly.com/question/26719838
#SPJ2
Related Questions
In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Answers
Answer:
YZ , XZ , XY
Step-by-step explanation:
first lets find angle Z
angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)
27 + 48 + angle z=180
75 + angle z=180
angle z =180-75
angle z =105 degree
side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY
first YZ then XZ and XY.
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answers
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
help ASAP Please show working
Answers
Answer:
(a) -1
(b) -2
Step-by-step explanation:
(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1
(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)
Find the distance between the given points. Round to the nearest tenth.
Answers
Answer:
(7 , -3)
Step-by-step explanation:
The distance between A and B is 7 squares to the right and 3 squares down
find x pls n ty!4?2!<3
Answers
Answer:
x = 8
Step-by-step explanation:
A² + B² = C²
x² + 15² = 17²
x² + 225 = 289
x² = 289 - 225
x² = 64
x = [tex]\sqrt{64}[/tex]
x = 8
Hope this helps!
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answers
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8
Which of the following is the value of g(60)?
Answers
A rectangular prism has a length of 11cm, a height of 20cm, and a width of 10cm.
What is its volume, in cubic cm?
Answers
Answer:
la respuesta es nose
Which transformation is not isometric?
Answers
Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answers
Answer:
Number of oranges = 8
Step-by-step explanation:
let
a = number of apples
n = number of oranges
Number of apples = 6
Cost of each apple = 0.75
Number of oranges = n
Cost of each orange = $1.25
Total cost = $14.50
Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange
14.50 = 6 * 0.75 + n * 1.25
14.50 = 4.5 + 1.25n
14.50 - 4.5 = 1.25n
10 = 1.25n
n = 10 / 1.25
n = 8
Number of oranges = n = 8
Therefore, there are 8 oranges in a bagful of orange
Sthephanie has 3 3/4 bags of soli to put in her garden. Each bag of soil will cover 125.3 ft how many square feet will sthephanie be able to cover if she uses all bags of soli?
Answers
Answer:
469.875 square feet
Step-by-step explanation:
Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):
125.3(3.75)
= 469.875
So, she will be able to cover 469.875 square feet with soil
Please solve for X and Y
Answers
Answer:
x=16
..................
15 points!! Are any of these right?
Answers
Answer:
it is the second one
Step-by-step explanation:
the y intercept for the first one isnt the origin
It is decreasing from negative infinity to -2.5 for the first one
find the sum of this infinite geometric series.
HELP!!
Answers
Given the triangle below, what is the measure of x to the nearest foot?
Answers
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answers
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
SHOW WORK PLEASE
Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?
Answers
Answer:
65
Step-by-step explanation:
Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.
Answer:
65
Step-by-step explanation:
Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80
145-80
= 65 more miles
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answers
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27
What is it yalll !??????
Answers
Answer:
I think b
Step-by-step explanation:
Answer:
As x reaches negative infinity y reaches negative infinity
Step-by-step explanation:
So, first off, when looking at graphs, there will always be a infinite end behavior.
This is because either the x or y axis can be set to a infinitly large number.
We can instantly set up a 2 things for this graph.
We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.
This removes our second answer, because it is postive infinity for y.
It also removes our first answer, since it is just 5 for y, notn negative infinity.
Finally, it removes our third answer, since it is just 7 for y, not negative infinity.
This leaves D.
D is correct since y reaches negative infinity when x reaches both postive and negative infinity.
D says x is negativly infinite, which fits this.
So D is our answer.
Hope this helps!
The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?
Answers
Answer:
Centre = (-1, 5)
radius = 8units
Explanation
The standard form of the equation of a circle is expressed as
x^2+y^2+2gx+2fy+C = 0
Center = (-g, -f)
radius = √g²+f²-C
Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.
On comparing
2gx = 2x
2g = 2
g = 2/2
g = 1
2fy = -10y
2f =-10
f =-5
Centre = (-1, -(-5)) = (-1, 5)
radius = √1²+5²-(-38)
radius = √1+25+38
radius = √64
radius = 8units
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Answers
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
Simplify (-4a^5b) (2a^2b)
Answers
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
18 km
12 km
20 km
or
14 km
Answers
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answers
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
Which product results in x^2-1
Answers
it refers to the number of times an observation occurs or appears in a data set
Answers
Hope this helps :D
Which expression is equivalent to the following complex fraction?
3
-4
x-1
2.
X-1
2-
0
2(X-2)
-4X+7
-4X+7 D.
2(X-2)
4x+7
2(x2-2)
2(x2-2)
4x+7
Answers
Answer:
[tex]\frac{-4x+7}{2(x-2)}[/tex]
Step-by-step explanation:
[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]
The equivalent expression is 2(x - 2) / (-4x + 7).
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify the given expression:
[3/(x - 1) - 4] / [2 - 2/(x - 1)]
We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.
The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).
We can then rewrite the expression as:
[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]
Simplifying the numerator by distributing the -4:
(3 - 4x + 4) / (x - 1)
(-4x + 7) / (x - 1)
Now, simplifying the denominator by finding a common denominator:
2(x - 1) - 2/(x - 1)
= (2x - 2 - 2)/(x - 1)
= 2(x - 2)/(x - 1)
Substituting back into the original expression, we get:
(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]
Multiplying by the reciprocal of the denominator:
(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]
(-4x + 7)/[2(x - 2)]
Therefore,
The equivalent expression is 2(x - 2) / (-4x + 7).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answers
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
What is the length of the hypotenuse of the right triangle in the diagram?
Answers
Answer:
it's hypotenuse will be -8
I don’t know how to do these questions so help plz
Answers
Answer:
the anser is no.b that is 30°
Answer:
90°
Step-by-step explanation:
There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:
180-150=30
So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.
[tex]3x+2x+30=180[/tex]
Combining like terms, we get:
[tex]5x+30=180[/tex]
Isolating x, we get:
[tex]5x=150[/tex]
Dividing both sides by 5, we get:
[tex]x=30[/tex]
So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:
[tex]3x=3(30)=90[/tex]
Therefore, the answer is 90°. Hope this helps!
