Answers
By using a trigonometric relation, we will see that the value of x is 60.57°
How to find the value of x?On the image, we can see a right triangle where x represents one of the angles.
We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
Then we can write:
tan(x) = 3.9/2.2
Using the inverse tangent function in both sides, we will get:
Atan( tan(x)) = Atan(3.9/2.2)
x = Atan(3.9/2.2) = 60.57°
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Related Questions
el conjunto solucion de la ecucacion 2x - 6=8x, es
Answers
Answer:
English translate please so i can help you?
Step-by-step explanation:
Hey answer this those who know?
Answers
Answer:
do like this i think answer is correct
plzz hellpldppdopbdjdj
Answers
Answer:
78 squared feet
Step-by-step explanation:
area= base x height
so 6 x 13 = 78
and yeah
HOPE I HELPED:))
your answer is 91 square feet
A hotel provides discounts to area attractions for people
attending conventions, hoping this will encourage them to
bring their families. The hotel wants to see if the marketing
campaign was successful.
Which of these methods will produce the most representative sample of the
population of convention participants?
A. The hotel surveys all the convention visitors who eat at their hotel,
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
C. Surveyors stand beside one of the booths during a convention and
ask the people who visit the booth if they brought their families.
D. The hotelsends an email to a random selection of people who
have been registered as convention participants during the past
six months
Answers
Answer:
I'm not to sure but I think A. or D. I'm so sorry if I'm wrong
The most representative sample of the population of convention participants is:
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
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8 squared + b squared= 17 squared find b
Answers
Answer:
b=15
Step-by-step explanation:
8²+b²=17²
b²=225
b=15
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
Answers
Answer:
[tex]r = 5[/tex] --- Radius
[tex]h = 3.9[/tex] --- Height
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 97in^3[/tex]
Required
Determine different possible values of radius and height
The volume (V) of a cone is calculated as:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute 97 for V
[tex]97 = \frac{1}{3}\pi r^2h[/tex]
Multiply both sides by 3
[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]
[tex]291 = \pi r^2h[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]291 = 3.14* r^2h[/tex]
Divide both sides by 3.14
[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]
[tex]\frac{291}{3.14} = r^2h[/tex]
[tex]92.68 = r^2h[/tex]
From the question, we understand that:
[tex]r \ne h[/tex]
So, we have to assume a value for either r or h and then solve for the other variable.
Let [tex]r = 5[/tex]
So, We have:
[tex]96.28 = 5^2 * h[/tex]
[tex]96.28 = 25 * h[/tex]
Make h the subject
[tex]h = \frac{96.28}{25}[/tex]
[tex]h = 3.8512[/tex]
[tex]h = 3.9[/tex] --- approximated
Note that there are other different possible values of h that is true for
[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]
Graph the system of equations, and determine
the solution.
X + 2y = 6
2x + 4y = 4
Answers
Answer:
X + 2y = 6
first point : ( 0,3 )
second point : ( 4,1 )
third point : ( 2,2 )
forth point : ( 6,0 )
2x + 4y = 4
first point : ( 0,1 )
second point : ( 2,0 )
third point : ( -2,2 )
forth point : ( -4,3 )
A bicycle has a listed price of $706.95 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
Step-by-step explanation:
we will calculate first the sales tax
706.95*(9.75/100)=68.93
706.95+68.93= $775.88
A person invests 3000 dollars in a bank. The bank pays 6% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7700 dollars?
Answers
Answer:
16 years approx
Step-by-step explanation:
Given data
P=$3000
r= 6%
A= $7700
t= ??
The compound interest formula is
A= P(1+r)^t
Calculate time, solve for t
t = ln(A/P) / r
substitute
t= ln(7700/3000)/0.06
t= ln(2.566)/0.06
t= 0.942/0.06
t= 15.7
The time is 16 years approx
Evaluate 9 - nº when n = 2.
Answers
Answer:
answer is 8
Step-by-step explanation:
4. Find the area of the
shaded region.
Answers
Diameter of the circle in the middle = 8 ft
Radius of the circle in the middle :
[tex] =\tt \: \frac{Diameter }{2} [/tex]
[tex] =\tt \frac{8}{2} [/tex]
[tex] =\tt 4 \: ft[/tex]
Thus, the radius of the circle in the middle = 4 ft
Area of the entire circle :
[tex] =\tt \pi {r}^{2} [/tex]
[tex] = \tt3.14 \times 4 + 6 \times 4 + 6[/tex]
[tex] = \tt3.14 \times 10 \times 10[/tex]
[tex] =\tt 3.14 \times 100[/tex]
[tex]\color{plum} = \tt314 \: ft[/tex]
Thus, the area of the entire circle = 314 ft
Area of the circle in the middle :
[tex] =\tt \pi {r}^{2} [/tex]
[tex] =\tt 3.14 \times 4 \times 4[/tex]
[tex] = \tt3.14 \times 16[/tex]
[tex]\color{plum} =\tt 50.24 \: ft[/tex]
Thus, the area of the circle in the middle = 50.24 ft
Area of the shaded portion :
= Total area of the figure - Area of the circle in middle
[tex] =\tt 314 - 50.24[/tex]
[tex]\color{plum} =\tt 263.76 \: ft[/tex]
▪︎Therefore, the area of the shaded portion = 263.76 ft
1 point
8. Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
Answers
Hope this helps you
PLZ HELP ME LLZ I WILL DO ANYTHING
Answers
Answer:
X=45
Step-by-step explanation:
45+3x=180
180-45=135
135/3=45
x has to be 45
x=45
solve for x
103.5
4.7
55.0
Answers
Answer:
It will be the first one
Step-by-step explanation:
Hope this Helped
solve the first equation for x.
X+ 5y = 0 20y = -4x
Answers
The answer for the first equation x + 5y = 0 is,
[tex]x = - 5y[/tex]
Show two different ways to factor pls help
-12x + 24 - 18y
Answers
please help i dont understand this problem
Answers
y=x+5
Step-by-step explanation:
The opposite of y is x axis
Which point is located at (2,3)
Answers
Answer:
Point C
Step-by-step explanation:
Points are read as (x, y).
This means that 2 = x and y = 3.
X is the bottom line, whilst Y is the line going up.
Some one answer this thanks
Answers
Answer:
1,2,5 equal 32
Step-by-step explanation:
Answer:
(2³×4)+(11-11)5
4²×2
2^5
Step-by-step explanation:
(2³÷4)+(11-11)5
=(8×4)+0
=32
4²×2
=16×2
=32
2^5
=2×2×2×2×2
=4×4×2
=16×2
=32
What would be the answer if x=-8
Y=- 3/4+10
Answers
Answer:
x= -8, 9 1/4
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Factor out
the GCF
56x^2? + 16x + 64
Answers
helppppppppppppppppp
Answers
Answer:
16.
Step-by-step explanation:
What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.
Here is our equation: 75/100 x 64 = 48.
So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.
So the price of the wedding cake during the sale is 16.
y: 2x+3+9x+2
Simplify this
Answers
Answer:
y=16x ??
Step-by-step explanation:
Answer:
=11x+5
Step-by-step explanation:
Let's simplify step-by-step.
2x+3+9x+2
Combine Like Terms:
=2x+3+9x+2
=(2x+9x)+(3+2)
=11x+5
Answer:
=11x+5
A company charges its customers a flat fee of $6 plus an additional $5 per hour to kennel a dog. A function, C(h), can be used to describe the relationship between the number of hours, h, and the total amount, in dollars, of charges.
Write an equation in function notation to represent the function.
Answers
What kind of solution does the equation have? - 13 = 5(1 + 4m) - 2m
Answers
-5
-18= 18M
-18/18
M=1
Answer: = − 1
Step-by-step explanation:
what 2/5(10x + 3/4) - 2x?
Answers
Answer:
2x + 3/10
Step-by-step explanation:
2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10
I can never get these answers right omggg I need help!
The perimeter of a rectangle is 24cm. The length is 4cm. Write and solve an equation to find the width of the rectangle.
Answers
Answer:
24-(L times 2) then divide the awnser by 2
Step-by-step explanation:
Answer:
2(l+b)
2*4+2*b=24
8+2b=24
2b=24-8
2b is 16 so b is 16/2
which is 8
Melanie earns $7.40 per hour working at a grocery store. She works 14.25 hours this week. How much does she earn this week?
Answers
Answer:
$105.45
Step-by-step explanation:
$7.40 x 14.25 = $105.45
She earns $105.45 after working for 14.25 hours.
Help me please!!!! I really need help ty!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
3 1/4 gallons
2 3/8 gallons
4 5/8 gallons
And 1 gallon
3(1/4) would be 3/4
2(3/8) would be 6/8
4(5/8) would be 20/8
And 1 is just 1
To have all denominators match up, you can have 3/4 be 6/8, or 6/8 be 3/4 and 20/8 be 10/4.
6/8 + 6/8 + 20/8 = 32/8 = 4
4 + 1 = 5
(Or alternatively)
3/4 + 3/4 + 10/4 = 16/4 = 4
4 + 1 = 5
A teacher can grade 10.5 tests every 30 minutes. How many tests can they grade in two 45 minute prep periods?
Answers
Answer:
31 tests.
Step-by-step explanation:
The rate for the grading is 10.5 every 30 minutes.
Two 45 minute prep periods are 90 minutes.
90 / 30 = 3.
Since three 30 minute periods fit into 90 minutes, we get
3 x 10.5 = 31.5 tests.
Since a teacher did not finish grading the .5 of the test, we don't count it.
Our answer is 31 tests.