Answers
Answer:
x = 4
y = 4√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 8
Adjacent = y
Opposite = x
Recall: SOHCAHTOA
✔️To find x, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = x/8
x = 8 × sin 30
x = 8 × ½ (sin 30 = ½)
x = 4
✔️To find y, apply CAH:
cos 30 = Adj/Hyp
Cos 30 = y/8
y = 8 × Cos 30
y = 8 × √3/2 (cos 30 = √3/2)
y = 4 × √3
y = 4√3
Related Questions
pleasee help, thank you so much
Answers
Answer:
-2
Step-by-step explanation:
Use the slope formula when given two points
Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
( the x and y values are determined by the given points )
Given the points ( 0 , 5 ) and ( 1 , 3 )
Plug in the x and y values of the given points into the formula
( remember y values on top x values on bottom )
[tex]slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2[/tex]
Hence, the answer is D
what is the answer for this
Answers
Answer:
bvcnfghnh
Step-by-step explanation:
gfhtfv
What is the area of the rectangle
Answers
the area of rectangle is l*b
Answer:
24 Centimeters
Step-by-step explanation:
L * W
4 * 6
24 Centimeters
HELP!
The length of a rectangle is 6 cm longer than its width.
The area of the rectangle is 135 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answers
Answer:
length= 6x
width= x
AREA= 135
solution
AREA = length times width
135 = 6x multiplied by x
135=6x^2
x^2 as subject of formula
x^2=135/6
x^2=22.5
square root both sides
x=4.74
width = 4.74
Answer:
9
Step-by-step explanation:
Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14
Answers
Answer:
56.52 cm^2
Step-by-step explanation:
curved surface area = 2πrh
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
10 / 2 = 5
2 x 3.14 x5 x 18 = 56.52 cm^2
Fuel for an outboard motor has a gas to oil ratio of 50:1. How much oil is needed for 25.5L of gas?
Answers
Answer:
The oil needed is 0.51.
Step-by-step explanation:
Since you know that the gas to oil ratio is 50:1 and you have to find the oil needed for 25.5L of gas, you can write the numbers in the ratio as a fraction and let's consider that x is the amount of oil needed:
[tex]\frac{50}{1} = \frac{25.5}{x}[/tex]
Now, you have to solve this using cross multiplication:
50*x=25.5*1
50x=25.5
Finally, your have to isolate the variable x:
x=25.5/50
x=0.51
According to this, the answer is that the oil needed is 0.51.
Someone help me please-
Answers
Answer:
Rectangle 11.59 sqft
Rectangle 36 sqft
Polygon 47.59 sqft
Step-by-step explanation:
M050052E4) Um supermercado vende garrafas com água mineral contendo 1,5L cada.
Qual é a quantidade de água, em mililitros, contida em cada uma dessas garrafas?
1,5mL
15mL
150mL
1500mL
Answers
então
1,5 L = 1,5 . 1000 = 1.500 cm³
...
1 L = 1.000 ml
então
1,5 L = 1,5 . 1000 = 1.500 ml
Resolvendo (por "regra de 3"):
1 L → 1000 cm³
1,5 L → x cm³
x . 1 = 1,5 , 1000
x = 1.500 cm³
..
1 L → 1000 ml
1,5 L → x ml
x . 1 = 1,5 . 1000
x = 1500 ml
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?
A. 5 + 3
B. 5 + -3
C. 5 - -3
D. -5 - -3
Answers
Answer:
C
Step-by-step explanation:
A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?
Answers
PLEASE HELP ME ANSWER THIS!!
Answers
Answer:
i think its X=108
Step-by-step explanation:
Answer:
x=118°
Step-by-step explanation:
a straight line is 180°
therefore 180-62=x
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
see explanation
Step-by-step explanation:
j - 4 ≤ 0 ( add 4 to both sides )
j ≤ 4
The graph has a closed circle at 4 on the number line with the arrow pointing left
the expression cos x (cos x - tanx sin x) simplifies to...
Answers
Answer:
cos(2x)
Step-by-step explanation:
The simplified expression is
How to evaluate trigonometric expression?
A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.
Given expression:
cos(x){cos(x)-tan(x)sin(x)}
Evaluation:
[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]
[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]
[tex]cos^{2}x-sin^{2}x[/tex]
[tex]cos2x[/tex]
Therefore, the given expression simplifies to cos2x.
To know more about trigonometric expressions refer:https://brainly.com/question/12542599
#SPJ2
This is due at 11:59 tonight please help meh and explain your reasoning ( •᷄ - •᷅ )
Answers
Answer:
44.375sq.cm
Step-by-step explanation:
The Area of the figure = Area of the square - Area of the quadrant
Area of the square = 8 * 8 = 64sq. cm
Area of the quadrant = πr²/4 = 3.14(5)²/4
Area of the quadrant = 19.625sq.cm
Area of the figure = 64 - 19.625
Area of the figure = 44.375sq.cm
Help HELP HELP HELP PLS!!!
Answers
Answer:
x = 40
Step-by-step explanation:
40° and (3x + 20)° form a straight line, and a straight line equals to 180°
=> 40 + (3x + 20) = 180
=> 3x = 120
=> x = 40
I hope it’s that
Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.
Answers
Completing the square method rearranges the equation to have the
square of linear equation and constant on both sides of the equation.
Responses:
The mistake is made in line 4The mistake is in not taking the square root of both sidesWhich is the correct completing the square method?The given equation is; x² - 10·x - 11 = 0
Line 1: p² - 10·p - 11 = 0
Which gives;
p² - 10·p = 11
Adding 25 to both sides gives;
Line 2: p² - 10·p + 25 = 11 + 25
11 + 25 = 36
Factorizing p² - 10·p + 25 = (p - 5)·(p - 5) = (p - 5)²
Line 3: (p - 5)² = 36
Which gives;
p - 5 = ±√36
Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)
Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1
Line 6: p = 11 or p = -1
The line Malik made a mistake is on line 4The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.The constant on the left and side is then subtracted from the positive
and negative value of the square root of the right hand side to give two
results.
Learn more about completing the square here:
https://brainly.com/question/3939104
A sphere has a surface area of 196 pi. What is the radius of the sphere?
r = 7
r = 14
r = 65.33
r = 12.12
Answers
please help me solve for the area
Answers
Answer:
-9
Step-by-step explanation:
why not
Answer:
5x4x9=180 then 4 divided by 2 is 2 then 2x180 you get the answer
Step-by-step explanation:
How many meters are equal to 4,581 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.
Answers
Answer:
Step-by-step explanation:
How many meters are equal to 4,581 centimeters?
100cm = 1m
4581 cm = x
Use how the placement of the decimal point changes when dividing by a power of 10 to help you
plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?
Answers
Answer:
2100
Step-by-step explanation:
60%=0.6
35%=0.35
0.6*0.35=0.21
0.21*10000=2100
What would be the perimeter??
Answers
Answer:
19.2
Step-by-step explanation:
4.8 x-4 = 19.2 meters
Answer:
19.2
Step-by-step explanation:
4.8 x 4
given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
Answers
Answer:
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
Step-by-step explanation:
Based on 2x - 9y - 12 = 0
-9y = 12 - 2x
9y = -12 + 2x
y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]
Therefore...
5x - 4y + 7 = 0
5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0
5x + [tex]5\frac{1}{3}[/tex] - [tex]\frac{8}{9} x[/tex] + 7 = 0
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
what is the problem??
Answers
Answer:
there is none
Step-by-step explanation:
How do you know if something is congruent? (scale Factors)
Answers
example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.
Answer:
Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
Step-by-step explanation:
Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?
A. doubling the number and then decreasing the result by 25%
B. increasing the number by 50%
C. multiplying the number by 1.25
D. multiplying the number by 2.5
Answers
Answer: multiplying the number by 2.5
Your answer
Step-by-step explanation:
Jay took a number n and increased it by 25%. This will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
Then, he doubled the resulting product. This will now be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be option D "multiplying the number by 2.5".
Dont answer this question if you dont know the answer
Answers
Answer:
C
Step-by-step explanation:
sin = 5/13
cos = 12/13
tan = 5/12
Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure of angle Z
Answers
Answer:
50degrees
Step-by-step explanation:
The sum of angle in the triangle XYZ is 180degrees, hence;
<X + <Y + <Z = 180
Given
m<X = 80degree
m<Y = m<Z
Required
m<Z
Substitute the given angle
80 + m<Z + m<Z = 180
80 + 2m<Z = 180
2m<Z = 180 - 80
2m<Z = 100
m<Z = 100/2
m<Z = 50degrees
Hence the measure of angle Z is 50degrees
Simplify:............
Answers
[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]
is your answer
Answer:
jshdgdhdhdhdhdhdhd English project work
solve for the x value of the x intercept of the line 5x-y=-5
Answers
y intercept: (0,-5)
hope this helped
can someone help me asap
Answers
Answer:
a) hundreds
b) tens
c) hundreds
d) hundreds
Answer:
This is easy!!
Step-by-step explanation:
1. hundreds
2. tens
3. hundreds
4. hundreds
Hope this Helps!!
