Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answers
Answer:
x ≈ 9.5 , y ≈ 15.3
Step-by-step explanation:
sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{18}[/tex] ( multiply both sides by 18 )
18 × sin32° = x , then
x ≈ 9.5 ( to the nearest tenth )
cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{18}[/tex] ( multiply both sides by 18 )
18 × cos32° = y , then
y ≈ 15.3 ( to the nearest tenth )
Related Questions
Find the area using sine rules.
Answers
Answer:
22.44 mi²Step-by-step explanation:
Step 1
Find the missing angle:
m∠H = 180° - (47° + 99°) = 34°Step 2
Find the missing sides by using the law of sines:
sin 34° / 5.9 = sin 47° / HP = sin 99° / HKHP = 5.9 sin 47°/sin 34° = 7.7 miHK = 5.9 sin 99° / sin 34° = 10.4 miStep 3
Use Heron's formula for the area:
A = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex], where s is semi-perimeter, and a, b, c - sidesFind s:
s = 1/2(5.9 + 7.7 + 10.4) = 12Find A:
A = [tex]\sqrt{12(12 - 5.9)(12 - 7.7)( 12 - 10.4)}[/tex] = 22.44 mi²Does this triangle have a hypotenuse of 39 feet long
Answers
Answer:
Yes it does
Step-by-step explanation:
did it on edge
Which expression is equivalent to -4(7-2m)+11m
answer choices:
a. 19m
b. -28+19m
c. -28+3m
d. -9m
I NEED HELP ASAPPP
please give me a correct answer!!
Answers
Answer:b
Step-by-step explanation:
An offshore oil well is 1 mile off the coast. The oil refinery is 4 miles down the coast. Laying pipe in the ocean is twice as expensive as laying it on land. Find x, and consider how finding x helps determine the most economical path for the pipe from the well to the oil refinery.
Answers
Answer:
[tex]x = \frac{\sqrt 3}{ 3}[/tex]
Step-by-step explanation:
Given
See attachment for complete question
First, we calculate the water pipe length (AC):
[tex]AC^2 = AB^2 + BC^2[/tex]
[tex]AC^2 = 1^2 + x^2[/tex]
[tex]AC^2 = 1 + x^2[/tex]
[tex]AC = \sqrt{1 + x^2[/tex]
The cost of laying across water is twice (2 times) laying on land.
So, the total cost (C) is:
[tex]C = 2 * \sqrt{1 + x^2} + 1 * (4 - x)[/tex]
[tex]C = 2 \sqrt{1 + x^2} + (4 - x)[/tex]
Differentiate
[tex]C' = \frac{2x}{\sqrt{1 + x^2}} - 1[/tex]
To find the most economical cost, we simply minimize C' by equating C' to 0
[tex]C' = 0[/tex]
[tex]\frac{2x}{ \sqrt{1 + x^2}}-1 = 0\\[/tex]
[tex]\frac{2x}{ \sqrt{1 + x^2}}=1[/tex]
Cross multiply
[tex]2x= \sqrt{1 + x^2}[/tex]
Take square of both sides
[tex]4x^2 = 1+x^2[/tex]
Collect like terms
[tex]4x^2 -x^2= 1[/tex]
[tex]3x^2= 1[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = \frac{1}{3}[/tex]
Solve for x
[tex]x = \sqrt{\frac{1}{3}}[/tex]
[tex]x = \frac{1}{\sqrt 3}[/tex]
Rationalize:
[tex]x = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]x = \frac{\sqrt 3}{ 3}[/tex]
Please help if you don’t mind
Answers
Answer:
41in^3
Step-by-step explanation:
( 3 - 4i ) + ( 6 + 7i )
Answers
Answer:
9 + 3i
Step-by-step explanation:
( 3 - 4i ) + ( 6 + 7i )
We add like terms :)
A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much money did the shopkeeper pay the manufacturer for the television B) if the shopkeeper gives 10% discount for cash. How much money does a customer pay for the television
Answers
Answer:
$2250
$2430
Step-by-step explanation:
If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price
let t = cost price of the television
the following equation can be derived
1.2 x t = $2700
divide both sides by 1.2
t = $2250
If there is a 10% discount, the television is (100 - 10%) 90% cheaper
0.9 x 2700 = $2430
NEED ANSWER SUPER FAST!
Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone
has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use
3.14 to approximate pi. (Show your work.)
Answers
THE ANSWER IS THE VOLUME IS 150.8 INCHES CUBED !!!!!
The hourly rate of your new job is $5.00 per hour. You expect a raise of 9% each year. At the end of your first year, you receive your first raise. What will your hourly rate be at the end of your fifth year?*
Answers
Answer:
Step-by-step explanation:
$5×1.09 = $5.45
please help me with both a and b, i am clueless
Answers
2. And then by would be the same
Solve
6(x + 4) = 30
+
Answers
Answer:
x = 1.
4+1×6=30
Step-by-step explanation:
thats about right
Answer:
6(x+4)=30
6x+24=30
6x=30-24
6x=6
x=1
Find an overestimate for 33 x 67 by adjusting each factor up to the next ten
Answers
Answer:
210 Is my estimate
Step-by-step explanation:
A boat travels 32 miles in 1 hour(with a constant speed) how far can it travel in 22 hours ( with the same speed)
Answers
Basically multiply the 32 mph with the 22 hours (since its per hour, the units carry over), and you get 704 miles!
An underwater robot takes pictures at an elevation of -8 5/12 m relative to sea level. What is the robot's elevation expressed as a decimal? Show your work.
PLZ HELP I WOULD REALLY APPRECIATE IT
Answers
Answer:
Step-by-step explanation:
i think it 8.45
Answer:
To solve this question, all we have to do is to convert - 8 5/12 to a decimal.
So we have: -8 5/12 = -8. (5/12)
This is equal to -8.41666... , where the 6 continues forever. You can express this by drawing a line above the 6, which indicates that it continues forever.
Let me know if this helps!
[HELP ANSWER QUICK 50 POINTS !] The steps below can be used to show that xo =2x.
Step 1: (**)
2
= x
Step 2: (Vx)2 = x
Step 3:
=
1
Step 4: x
=
Which of these correctly completes step 3?
Answers
Answer: step 2?
Step-by-step explanation:
Answer: I’m pretty sure the answer is b but I’m not 100% sure
Step-by-step explanation:
Joshua made note of all the bicycles and cars he could see parked or locked on a
certain city block. All the cars had exactly four wheels, and all the bicycles had exactly
two wheels. How many wheels were on the block if there were 6 bicycles and 11 cars?
How many wheels were on the block if there were x bicycles and y cars?
Answers
Answer:
56
Step-by-step explanation:
11*4=44
6*2=12
44+12=56
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answers
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13Determine the domain of the following graph:
Answers
Answer:
Im not sure but I think its All real numbers
What is the value of x in the triangle?
A: 289
B: 17
C: 15
D: 14.2
Answers
Because if you square root 514 you get 22.6 then you do 15x15 and you get 225 then you subtract 225-22.6 and you get 14.2
Triangle a is reflected i nthe x-axis to give b triangle b isreflected in the y axis to give shape c
Answers
Answer:
Hello your question is poorly written attached below is the complete question
Triangle A is reflected in the X-axis to give triangle B , and Triangle B is reflected in the Y axis to give shape C
ii) Draw triangle B and label it
ii) Draw triangle C and label it
answer : attached below
Step-by-step explanation:
Attached below is The graph showing the Triangles A , B and C drawn and labelled using online tools
PLEASE HELP
WORTH 30 PTS!!
Choose the step that shows where a mistake is made (if there is one).
-2(x + 4) + 4x = 16
Step 1 -2x + 8 + 4x = 16
Step 2 2x + 8 = 16
Step 3 2x = 8
Step 4 x = 4
a Step 1
b Step 2
c Step 3
d Step 4
e No mistakes were made. The steps are correct and the answer is x = 4.
Answers
Answer:
The mistake is in step 1 when you do -2(x+4) you do the distributive property first -2 times x is -2x that's correct but -2 times 4 is not 8 it is -8
when you multiply by negatives the answer will always be a negative unless your multiply 2 negative number together then itll be positive ex. 4 × -4 = -16 (negative) but -4 × -4 = 16 (positive)
The standard form of the number 5, 976,000,000,000,000,000,000,000 is
Answers
Answer:
[tex]5.976\times10^{24}[/tex]
Step-by-step explanation:
Standard form, also called scientific notation, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form
[tex]m\times10^b[/tex]
where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.
We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form
[tex]5.976\times10^{24}[/tex]
translate and solve " the difference between two-thirds of a number , n, and eleven is at least 17"
Answers
Answer:
[tex] \frac{2}{3} n - 11 \geqslant 17[/tex]
[tex]n \geqslant 42[/tex]
Explanation:
difference equals -
two-thirds equals 2/3
a number n equals variable of n
and 11 equals 11
at least equals _> (but like those together)
For solving equations just use photomath
The solution to the expression is n ≥ 42
What is an Equation ?
An equation, statement of equality between two expressions consisting of variables and/or numbers
An equation is a mathematical expression that contains an equals symbol.
Equations often contain algebra.
Algebra is used in maths when you do not know the exact number in a calculation.
Translating the equation
[tex]\rm \dfrac{2}{3} \;n-11 \geq 17[/tex]
[tex]\rm \;n \geq (17 + 11)\times\dfrac{3}{2}\\\\\\ n \geq 42[/tex]
Therefore the solution to the expression is n ≥ 42
To know more about Equation
https://brainly.com/question/10413253
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Pls pls pls help! Giving brainliest! (Math 3)
A town experiences a population growth after a new manufacturing plant opens. If the trend continues, the equation 50,000=24,000(1.23)^t can be used to find the amount of time, t, in years, it will take for the population of the town to reach 50,000
A) t=0.15
B) t=2.10
C) t=3.55
D) 49.11
Answers
Answer:
I think it's C. I'm very very very sorry if it's not
Step-by-step explanation:
HURRY
2. Describe the steps you would take to solve the equation
3x - 2 = 7. Then, solve the equation.
Answers
Answer:
x = 3.
Step-by-step explanation:
1. Add 2 + 7, and you get 9.
2. Now find what 3 multiplied by what equals 9.
3. 3 x 3 = 9.
4. Therefore, x = 3.
5. 3 x 3 - 2 = 7.
Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton. dont answer it take the pts and leave
Answers
Answer:
OK sounds good
Step-by-step explanation:
S=2 (LW+Lh +Wh)
slove for (w)
Answers
Answer:
Hello am greatly sorry for doing this but I needed to share this for clarification of the physics question.
what are the focus and directrix of the parabola with the equation y = 1/2 x2
Answers
Answer:
1/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please write this as y = (1/2)x^2 for greater clarity. (1/2) is the coefficient of x^2 here.
The applicable form for the equation of this quadratic is 4py = x^2.
Your y = (1/2)x^2 becomes 2y = x^2. Therefore, 4p = 2, or p = (1/2).
Thus, the focus is (0, 1/2) (just above the vertex, (0, 0) ), and the equation of the directrix is y = -1/2.
A rectangle is 6 units by 5 units give its area an perimeter
Answers
Answer:
22
Step-by-step explanation:
Perimeter is every side added together soo...
6 + 5+ 6+ 5 =22
answer:
area = 30 units²
perimeter = 22 units
step-by-step explanation:
know the formulasarea = l x wnow plug in what we know6 X 5 = 30 units²
for perimeter, we just have to add all sides6 + 6 + 5 + 5 = 22 units
Find the total surface area of the figure below:
Answers
Answer:
95
Step-by-step explanation:
Formula -
Triangle Area - 1/2bh
Square - l x w
Triangle - 5 x 7 = 35/2 = 17.5
Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70
Square - 5 x 5 = 25
Now we add both 70 and 25 which is 95
So the total surface area is 95
Answer:
95
Step-by-step explanation:
Area of the triangles:
A = (base × height) ÷ 2A = (5 × 7) ÷ 2A = (35) ÷ 2A = 17.5Because there are 4 triangles, we can do our answer of one triangle × 4So, 17.5 × 4 = 70Area of a square:
The sides of squares are the sameA = L × WA = 5 × 5A = 25Put them together:
Area of triangles + area of the square = surface area70 + 25 = suface area70 + 25 = 95I hope this helps!