Answers
For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
Related Questions
Round 12.478 to the nearest tenth.
Answers
Answer:
12.5
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
If the number after the place you are trying to round is less than five it doesn't change. If it is five or higher, the number goes up by one.
Can someone please help me with these questions?
Answers
Answer:
"of" means multiply in math terms!
= 8/13 IS THE ANSWER
Hope this helps!!!! :)
Step-by-step explanation:
NEED ANSWER ASAP FOR QUIZ
Solve the equation x2 = 5. Round to the nearest tenth.
Answers
Answer:
1.41421356
Step-by-step explanation:
I think
Answer:
Well first what times itself equals 5 if you have a calculator Find the square root symbol and put 5 inside it
Plant A
Use the data for each plant's growth to determine and
compare the rates of change
How fast does Plant Agrow each week?
Height in.)
TO
How tast does Plant grow each week?
Time (weeks)
Which plant grows faster each week?
Plant B
Weeks
2
3
Height (in)
7.3
8.7
4
10.1
Answers
Answer:
1.8, 1.4, plant A,0.4in.
Step-by-step explanation:
it was right on edge
Answer:
1.8, 1.4, plant A, 0.4 in.
Step-by-step explanation:
It was right on edge.
How would you convince a fellow student that the number 0.57 is a rational number?
[HELP NEEDED]
Answers
Answer:
because a fraction are not rational it is like fraction and whole numbers are one number hope this helps
I need the definition of angle
Answers
Answer: D
Step-by-step explanation:
Two rays that have a common endpoint
A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y = -4x - 2
Step-by-step explanation:
y-intercept: -2
Slope: -4
What is -2•3x simplified?
Answers
Answer:
Multiply
3 by − 2 =− 6 x
Step-by-step explanation:
Answer:-6x I hope this is helpful
Step-by-step explanation:
-2•3x
Multiplying a negative and a positive equals a negative: (-) • (+)=(-)
-(2•3)x
Multiply the numbers
-6x
Find an ordered pair (x,y) that is a solution to the equation. 4x-y=8
Answers
Answer:
2,4
Step-by-step explanation:
Answer:
Step-by-step explanation:
please helppppppppp
idk know it
Answers
Answer:
6.56- 6.66.723- 6.76.538- 6.56.647- 6.6 6.49- 6.56.687- 6.7Hope this helps and would appreciate if you would add me as brainiest
Evaluate the left hand side to find the value of a in the equation in simplest form.
[tex]\frac{x^{^\frac{4}{3} } }{x^{^\frac{2}{3} } } = x^{a}[/tex]
Answers
Answer:
[tex]x^{2}[/tex]
Step-by-step explanation:
LHS (left hand side)
[tex]x^{4/3}[/tex] / [tex]x^{2/3}[/tex]
[tex]x^{4/3}[/tex] x [tex]x^{2/3}[/tex]
[tex]x^{4/3 + 2/3}[/tex]
[tex]x^{4+2/3}[/tex]
[tex]x^{6/3}[/tex]
[tex]x^{2}[/tex]
Round 21.994 to the nearest whole number.
Answers
Answer:
22
Step-by-step explanation:
21.994
5+ round up
4(2x + 1) + 2 = 5(x + 6)
Answers
Answer: x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
4(2x + 1) + 2 = 5(x + 6)
8x + 4 +2 = 5x + 30
Collect like terms
8x - 5x = 30 - 4 - 2
3x = 24
Divide both side by 3
x = 8
[tex]2(4)( \frac{1}{16} ) = [/tex]
I need help plz
Answers
Answer:
0.5
Step-by-step explanation:
[tex]2*4*\frac 1 {16}\\8 / 16\\0.5[/tex]
Hope this helped :)
Write and solve an equation for the situation.
The perimeter of a parallelogram is 44 meters meters. The width of the parallelogram is 6 m less than its length. Find the length and the width of the parallelogram
The length of the parallelogram is____
The width of the parallelogram is____
Answers
Answer:
18.6667 = w
9.3333 = l
ITS WRONG
IT'S WRONG
WRONG ANSWER
Step-by-step explanation:
w-6 = l
w=w
Act like it is a rectangle, two lengths, and two sides.
w-6 + w-6 + w + w = 44
w-12 + 2w = 44
3w - 12 = 44
add 12 to both sides
3w=56
divide both sides by 3
18.6667 = w
______________ is a metric unit used to measure length.
A. Meter
B. Pounds
C. Gram
D. Liter
I'll give 45 points!!
Answers
Answer: A
Step-by-step explanation:
Meter
Answer:
A) Meter
Step-by-step explanation:
Pounds is not a metric unit, pounds is used in the english system or the customary system
Grams is used to measure mass
Liters are used to measure volume
There are kilometers (km) meters (m) and centimeters (cm) as well as other units of measurements for length in the metric system, which is used in most parts of the world.
Hope this helps :-)
The Kettings have several bird feeders in their yard. They started with a 10.5 pound of bird seed. After two months, 12 ounces remained. What is the percent of change in the amount of bird seed after two months?
Answers
Answer:
Step-by-step explanation: i think its 21.3
The required percentage of the remaining birdseed after two months is 7.14%
Given that, the Kettings have several bird feeders in their yards. They started with a 10.5-pound of birdseed. After two months, 12 ounces remained, what is the percent of change in the amount of bird seed after two months is to be determined
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
In, 1 pound = 16 ounces
Multiply both sides by 10.5,
10.5 pound = 16 * 10.5 ounces
10.5 pound = 168 ounces
Now after 2 months 12 ounces remained
Percentage of the remaining = 12 / 168 * 100
= 7.14%
Thus, the required percentage of the remaining birdseed after two months is 7.14%.
Learn more about percentages here:
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What integer represents spending $100
Answers
Answer: <100
Step-by-step explanation:
"At an ice cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. At a second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How many toppings would a customer have to order for the ice cream to cost the same at either shop?"
Answers
Answer:hope this helps
0.75x + 3 = 0.25x + 5.25
Constants are $3 and $5.25 respectively
Topping costs $0.75 and $0.25 respectively
To have same cost the toppings number would be different as cost is different.
Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:
0.75x + 3 = 0.25y + 5.25
Constants are $3 and $5.25 respectively
Consider the function represented by the equation y-6x-9 = 0. Which answer shows the equation written in function
notation with x as the independent variable?
O F(x) = 5x + 9
O f(x) = 1/3 x + 2 / 2
Of) = 5y+9
O fox = 1/3 + 2 / 2
Answers
Answer:
f(x) = 5x+9
Step-by-step explanation:
This meets the criteria:
function notation - all this means is replace the'y' with 'f(x)
x as the independent variable - basically means don't change the letter for x
Jesse wants to purchase three binders and a backpack. If the backpack costs $16, which equation represents the situation in which x denotes the cost per binder and y denotes the total cost of Jesse’s purchase?
Answers
The 16 is the cost of the backpack, which you add to the 3 binders which cost x each. This gives you the total, y.
Hope this is helpful!!
The equation represents the situation in which x denotes the cost per binder and y denotes the total cost of Jesse’s purchase is 16+3x=y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jesse wants to purchase three binders and a backpack. If the backpack costs $16
From the data given in the question:
The linear equation can be framed as follows:
y = 16 + 3x
Or
16 + 3x = y
Thus, the equation represents the situation in which x denotes the cost per binder and y denotes the total cost of Jesse’s purchase is 16+3x=y.
The options are:
16+y=3x
16+3x=y
y+3x=16
3+16x=y
Learn more about the linear equation here:
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USING STRUCTURE An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as shown. A drawing shows an indoor track. It is shaped like a rectangle with a semi-circle on each of the shorter sides. The length of the rectangle is labeled x. The radius of each semi-circle is labeled r. A. Write a formula for the perimeter of the indoor track. $P=$ b. Solve the formula for $x$ . $x=$ Question 2 c. The perimeter of the track is 660 feet, and $r$ is 50 feet. Find $x$ . Round your answer to the nearest foot. $x=$ feet
Answers
Answer:
Step-by-step explanation:
Find the digram attached.
Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles
Perimter of a rectangle = 2(x+r) where:
x is the length
2r is the width of the rectangle = diameter of the semicircle
Perimeter of semicircle = 2πr/2 = πr
Perimeter of 2semicirle = 2πr
Perimeter of the track = 2(x+2r) + 2πr
r is the radius if the semicircle
Expand
Perimeter of the track = 2x+4r + 2πr
Perimeter of the track = 2(x+2r+πr)
b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.
P = 2x+4r+2πr
P-4r-2πr = 2x
Divide both sides by 2.
(P-4r-2πr)/2 = 2x
x = (P-4r-2πr)/2
c) Given
P = 600fr
r = 50ft
x = (600-4(50)-2π(50))/2
x = (600-200-100(3.14))/2
x = 400-314/2
x = 86/2
x = 43ft
Hence the value of x to nearest foot is 43ft
7 + (-6^2) ÷ (-4) + (-12)
Step by step explanation plz
Answers
Answer:
4
Step-by-step explanation:
On Average, Mercury is about 57,000,000 Km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury’s and Neptune’s distances from the sun?
Answers
Answer:
4.443 x10^9
Step-by-step explanation:
I added translation
Answers
Answer:
E.f(x)=log(x-1)
Step-by-step explanation:
f(x)=log(2-1)
=log1 (log1=0)
=0
Please help!!
(a - b)(a^2 + ab + b^2)
It should be solved using FOIL
Answers
Use the distributive property (of which the FOIL method is a special case):
(a - b) (a² + ab + b²)
= (a - b) a² + (a - b) ab + (a - b) b²
= (a³ - a²b) + (a²b - ab²) + (ab² - b³)
= a³ - b³
Alternatively, you can distribute the quadratic expression over each term in a - b :
(a - b) (a² + ab + b²)
= a (a² + ab + b²) - b (a² + ab + b²)
= (a³ + a²b + ab²) - (a²b + ab² + b³)
= a³ - b³
Which are composite numbers?
Select all that are true.
49
35
32
41
47
Answers
Answer:
49, 35, and 32 are composite.
Step-by-step explanation:
Answer:
49, 35, and 32
Step-by-step explanation:
Use mental math to find the product
0.4• 3.29•25
Answers
Answer:
32.9
Step-by-step explanation:
neeed help ...........
Answers
Answer:
Option C is the correct answer
Answer:
Option C
Step-by-step explanation:
Option C is the option as its was corisponds with the following graph when the equations are plugged in as you can see C is what is shown by the over lapping Red and Blue colors
I hope this helps.
Mr. Barker has 18 boys and 27
girls in choir. He wants each
student standing in a row that
is either all boys or all girls.
What is the greatest number of
students that can stand in each
row? How many rows of boys
are there? How many rows of
girls are there?
Answers
Answer:
The greatest number of students that can stand in one row is 9. There are 2 rows of boys, and 3 rows of girls.
Step-by-step explanation: