Find the length of side x in simplest radical form with a rational denominator
Answers
Answer:
x = 8/√3
Step-by-step explanation:
We solve that above question using the trigonometric function of sin
Sin theta = Opposite/Hypotenuse
Theta = 60°
Opposite = 4
Hypotenuse = x
Hence,
Sin 60 = 4/x
Cross Multiply
sin 60 × x = 4
x= 4/sin 60
in rational form
sin 60 = √3/2
Hence, x = 4/ √3/2
= 4 ÷ √3/2
= 4 × 2/√3
= 8/√3
Related Questions
PLEASE HELP ME!! I MIGHT FAIL! I WILL GIVE BRAINLIEST TO THE FASTEST CORRECT ANSWER
Answers
Answer:
Option B
Step-by-step explanation:
→ Find 2 coordinates through which the line passes through
( -2 , -5 ) and ( 0 , -1 )
→ Work out the gradient
[tex]\frac{-1--5}{0--2} =2[/tex]
→ Write into y = mx + c
y = 2x + c
→ Substitute in the coordinates ( 0 , -1 )
-1 = 0 + c so c = -1
→ Write equation
y = 2x - 1
→ Expand out all the equations and simply to see which gives y = 2x - 1
Option B
[x-2]/4=[3x-7]/10 its x-2 dived by 4 not 2/4 same with other side
Answers
Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{x-2}{4}[/tex] = [tex]\frac{3x-7}{10}[/tex] ( cross- multiply )
4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )
12x - 28 = 10x - 20 ( subtract 10x from both sides )
2x - 28 = - 20 ( add 28 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Translate the phrase into an inequality:
Seven plus a number x is at most twenty
Answers
At most means less than or equal to:
7 + x ≤ 20
Please help with this question?!?
Answers
Answer:
50.3
Step-by-step explanation:
area for circle formula=πr^2
r=4
π4^2 which is 50.3 rounded
Answer:
50.3
Step-by-step explanation:
A=πr^2
π·4^2≈50.3
Someone plsss helppp
Answers
Answer:
wtfrick- that's so confusing
Step-by-step explanation:
sorry I don't have an answer wish this was a comment
SOMEONE PLS HELP SHEHSJHSHS
Answers
Answer:
1. Quadrant II
2. Quadrant IV
3. Y-axis
Step-by-step explanation:
how do you solve this??
Answers
Answer:
4x+50=90 being complementary
4x=90-50
x=40/4=10
value of x=10°
Answer: 10
Step-by-step explanation:
50-90= 40
40/4 = 10
Suppose the longest side in a right triangle has the measure 4,6. If the acute angles have the measure of 30° and 60°, which is the exact measure of the longer leg?
Answers
A wallet costs $50 to produce. If the manufacturer wants a 70% markup based on cost, what should be the selling price of the wallet?
Answers
Pi is: (click all that are correct) *
always the same, and is 3.14 or 22/7
delicious
used to help find the circumference of a circle
always a different number pls help lol
Answers
yes,Pi is 3.142 or 22/7
Step-by-step explanation:
22/7=3.14285714
PLEASE HELP! EASY MATH!!
Rosie measures the heights and arm spans of the girls on her basketball team. She plots the data and makes a scatterplot comparing heights and arm spans, in inches. Rosie finds that the trend line that best fits her results has the equation y = x + 2. If a girl on her team is 69 inches tall, what should Rosie expect her arm span to be?
A) 69 = x + 2
x = 67 inches
B) y = 69 - 2 = 67 inches
C) y = 69 inches
D) y = 69 + 2 = 71 inches
Answers
Answer:
Your answer would be D. I know this is kind of late, but maybe other people that come up here could get some help
Step-by-step explanation:
Which values are solutions to the inequality below? Check all that apply.
Answers
Answer:
C. and D.
Step-by-step explanation:
The root of √x is either equal or bigger than 9
Find the line of best Fit
Answers
In B the line of best fit is going negative while the graph is positive, and in C the line looks good at first but judging by the position A is a better fit.
Hope this helps!
PLEASE HELP
A water park charges an entrance fee of $15 and $3 for each ride. Select the function that models the relationship between the total amount spent (A) and the number of rides purchased (n).
A. A= 15n+ 18
B. A= 15n+3
C. A= 3n+18
D. A=3n+ 15 X
Answers
Answer:
D. A = 3n + 15
Step-by-step explanation:
3 should be beside the n variable because n represents each ride that was purchased.
As 15 represents the fee
The A variable represents the total amount spent
Therefore your answer is D.
Your Welcome.
Sophia invest $12,350 in a account that earns 4.5% annual simple interest. Assuming she makes no additional deposits or withdrawals, how much interest will Sophia earn after 36 months?
Answers
X being the number of years.
Answer:
I DO NOT KNOW
Step-by-step explanation:
I am here for the answers
I am hungry
Pizza
What is the mode of the data set? {102, 102, 100, 94, 102} Enter your answer in the box.
Answers
Answer:
102
Step-by-step explanation:
The mode is the number that appears the most in the data set. 102 appears 3 times while the others only once
A rectangular garden has a width of 10 feet and a length of 14 feet. A cement
walkway is added around the outside of the garden. The area of the garden and the
walkway together are 252 square feet. What is the width of the walkway?
Answers
Area of garden=10*14= 140 sq ft
Area of walkway=252-140= 112 sq ft
Walkway is around the garden, therefore its length is 24 ft (=10+14)
Walkway width=112/24= 4.7 ft
A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C, in centimeters?
A
C = 7.5 × π
B
C = 15 × π
C
C = 2 × 15 × π
D
C = 15 × 15 × π
Answers
3. Which property justifies rewriting
2r-7x
*(2-7) ?
OA. Associative property of multiplication
OB. Distributive property
OC. Commutative property of multiplication
O D. Associative property of addition
Answers
The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.
Answers
Answer: Solution in photo
Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18?
Answers
Answer:
y = 6
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in y = 3 and x = 9, and solve for k
y = kx
3 = k(9)
1/3 = k
So, the equation is y = 1/3x
Plug in 18 as x and solve for y
y = 1/3x
y = 1/3(18)
y = 6
So, when x = 18, y = 6
The Beachside Boutique has an average starting salary of $25,100 but the actual salary could differ from that average by as much as $1,040. Which absolute value inequality could be used to determine if a salary falls within this range?
a) |x − 25,100| ≥ 1040
b) |x − 1040| ≤ 25,100
c) |x − 25,100| ≤ 1040
d) |x − 1040| ≥ 25,100
Answers
Answer:
is it 160167
Step-by-step explanation:
hope i helped out
What is the range of y = -x2 + 6x -4?
Answers
Answer:
Hope this helps :)
What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π
Answers
Answer:
22.8906 sq in
Step-by-step explanation:
SA of a sphere = 4 π [tex]r^{2}[/tex]
r = 2.7 / 2 = 1.35
4 x 3.14 x [tex]1.35^{2}[/tex] = 22.8906
Use the following diagram to answer question 4 and 5
Exterior Angle Theorem
8.6 points
The measure of ZA is
Given the following diagram, find the measures of
LA and ZB
Type your answer...
B (2x + 4)
5
8.6 points
The measure of ZB is
Type your answer...
(3x - 13)
116°
А
Answers
Answer:
3x-13+2x+4=116( the sum of two interior angle is epual to the sum of exterior angle )
5x =116-9
5x=107
x=21.4 degree
then
angle a= 3*21.4-13
a=51.2degree
angle b=2*21.4+2
b =44.8degree
Step-by-step explanation:
plz make me brainliest
PLS HELP WITH THIS ONE if a radius of a cake is 13 and the ribbon of the cake is 36 cm will the ribbon be long enough to go around the edge of the cake?
Answers
Answer:
No, the ribbon would not be long enough to go around the edge of the cake.
Circumference ≈ 81.7 cm
Step-by-step explanation:
1) Calculate the circumference of the cake
Circumference - the length around a circle
[tex]C=2\pi r[/tex] where r is the radius
Plug 13 in as the radius
[tex]C=2\pi (13)\\C=26\pi\\C= 81.7[/tex]
Therefore, the circumference of the cake is approximately 81.7 cm.
Because the ribbon is only 36 cm long, it would not be enough to go around the edge of the cake.
I hope this helps!
give the slope of the line with equation 17x = -34; then graph the line
Answers
Answer:
Slope: Undefined
Step-by-step explanation:
I need help pls and no files ok pls no files
Answers
Answer:
$2,725
Step-by-step explanation:
The maximum number of days is 7.
The cost per days is $375.
The cost for 7 days is 7 * $375 = $2,625.
The owner applies a $100 fee for cleaning which must be added to the cost of the days.
$2,625 + $100 = $2,725
The greatest value for the range is the greatest cost there can be which is $2,725.
URGENT , PLEASE HELP DONT LINK FILES!!!
Find the volume of right rectangular prism made of one hundred 1/2-inch cubes
Answers
Answer:
50
Step-by-step explanation:
100÷1/2=50 so your answer would be 50
Plz help! Dont answer if you cant help
Answers
Answer:
42.09 cubic units
Step-by-step explanation:
[tex]\frac{4.11*5.12}{2} *4[/tex]
=42.0864, which rounds to 42.09
Note: The 6.57 is not needed to solve this problem