If the trigonometric expression is sin θ = -√2/2. Then the value of angle θ will be 5π/4, 7π/4, and 13π/4.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric expression is given below.
sin θ = -√2/2
The expression can be written as
sin θ = -1/√2
Then the value of angle θ will be
θ = sin⁻¹ (-1/√2)
θ = 5π/4, 7π/4, and 13π/4.
Thus, the correct options are B, C, and E.
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Answer:
B,C,E
Step-by-step explanation:
pleaseee helpp meeee
Answer:
9 sides
Step-by-step explanation:
Formula for finding interior angles of all polygons : 180 ( n - 2) / n = A
(n being the amount of sides it has)
This information is important so you can plug in the numbers that you already know
We know that the interior angle measures to 140 degrees
180 (n - 2) / n = 140
multiply both sides by "n"
(n - 2) x 180 = 140n
Distribute 180 to what's inside the parenthesis
180n - 360 = 140n
Subtract 140n and add 360 to each side (which just moves 360 to the other side of the "="
40n = 360
Divide 40 by both sides
n = 9
hope this helps :)
ASAP!!! PLEASE HELP & EXPLAIN.
Answer:
B
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x-axis.
so because the only parts shown on the x axis are 6 and -6 that is the answer!
hope this helps!
Find the area of the shaded region.
Round your answer to the nearest tenth. 120 degrees 6cm
If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.
The area of the shaded region will be
Shaded area = area of semicircle - area of isosceles triangle
Then the area of the semicircle will be
Semicircle area = π 6² / 2
Semicircle area = π36/2
Semicircle area = 56.55 square cm.
The area of the isosceles triangle will be
Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°
Isosceles triangle area = 6 × 6 × 0.5
Isosceles triangle area = 18 square cm
Then the area of the shaded region will be
Shaded area = 56.55 - 18
Shaded area = 38.55 square cm
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multiply 7 by the fourth power of the square root of forty-nine.
Answer:
16807
Step-by-step explanation:
7 * ((sqrt49)^4 = 7 * 7^4 = 7^5 = 16807
7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
14. [tex]h(x)=\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z[/tex]
[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]
Write the quotient in repeated multiplication form. Then write the quotient as a power.
The quotient as repeated multiplication is
The quotient as a power is
The expression written as a product is:
[tex](-4.5)^6*(-4.5)^{-2}[/tex]
And written as a power:
[tex](-4.5)^4[/tex]
How to rewrite the expression?Here we need to remember the two rules:
[tex]a^n = \frac{1}{a^{-n}}[/tex]
[tex]a^n*a^m = a^{n + m}[/tex]
Using the first one, we can write the quotient as a product:
[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2}[/tex]
Now we can use the second property to write the expression as a single power, we will get:
[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2} = (-4.5)^{6 - 2} = (-4.5)^4[/tex]
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Casper collected 108 old baseball cards. He then bought new baseball cards to increase his collection by 25%. How many new baseball cards did he buy?
Answer:
27
Step-by-step explanation:
what I did is used a calculator and did 108 x 0.25 (25% as a decimal)
There were 16 teams that competed in men's ice hockey at the Salt Lake City Olympics of 2002.
Find the number of permutations for the gold, silver, and bronze metals at the awards ceremony.
Answer:
3360.
Step-by-step explanation:
That would be the number of permutations of 3 from 16.
= 16P3
= 16!/(16-3)!
= 16*15*14
= 3360
Answer:
3 360 permutations
Step-by-step explanation:
the number of permutations :
16P3 = 16 × 15 × 14 = 3 360
Tony bought a $25 hornets t-shirt and used a coupon for a 25% discount. Keith bought an identical t-shirt at a different store for $19.95. which statement is true?
A.Tony paid $2.55 less than keith paid.
B.Tony paid $1.20 less than keith paid.
C.Keith paid $2.55 less than tony paid.
D.Keith paid $1.20 less than tony paid.
Answer: Tony paid $1.20 less than Keith paid.
Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.
help pleas for 12 points
Answer:
126 ft²
Step-by-step explanation:
surface area of rectangular prism: 2(LW + HW + WL)
Here Given:
Length: 9 ftWidth: 3 ftHeight:3 ftSurface Area:
2(LW + HW + WL)2(9*3 +3*3 + 9*3)2(27 +9 + 27)2(63)126height= 3 ft
width= 3 ft
length= 9 ft
to find:the surface area of the given prism.
solution:[tex]s.a = 2(hw + wl + hl )[/tex]
[tex]s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)[/tex]
[tex]s.a = 126 \: {ft}^{2} [/tex]
therefore, the surface area of the given prism is 126 square feets.
A farm has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
Find the amount of tax the farmer must pay.
Step-by-step explanation:
1 km² = 1km×1km = 1000m × 1000m = 1000000 m²
5 km² = 5000000 m²
so, he has to pay 5000000p as tax.
The amount of tax the farmer must pay is 50000 Rupees.
What is tax ?A compulsory contribution the government has levied on people's income is called the tax , It is of various types and the money accumulated from that is used for the development of the nation.
It is given that the farmer has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
5km² = 5 * (1000)² m²
Area = 5 *10⁶ m²
The amount of tax the farmer needs to pay is
= 1* 5* 10⁶
= 5000000 p
100p = 1 rupees
= 50000 Rupees
Therefore the amount of tax the farmer must pay is 50000 Rupees.
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A polygon GHIJ is inscribed in a circle. If m angle G H I equals 72 degree and m angle H I J equals 60 degree, what is m angle I J G?
A circle with an inscribed polygon G H I J.
m angle I J G equals _(blank)_ degree
The measure of angle IJG in the inscribed quadrilateral is calculated as: 110°.
What are the Opposite Angles of an Inscribed Quadrilateral?The opposite angles in a inscribed quadrilateral in a circle are said to be equal to 180 degrees, that is, they are supplementary.
angle IJG and angle GHI are opposite angles, therefore:
Angle IJG = 180 - angle GHI
Angle IJG = 180 - 70
Angle IJG = 110°
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if u want u can answer question 14 and 15 but if u don’t just answer 14
Answer:
For #14, (around) 108 times.
#15 = 53
Step-by-step explanation:
14)
2.69*10^5 = 269000
2.5*10^3 = 2500
269000/2500 = 107.6
Rounding up, we get 108
15)
√(53 - 8)2 + (31 - 3)2
= √(45)2 + (28)2
= √2809
= 53
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In a circle with radius 4, what's the
area of a sector with a central
angle that measures 132 degrees?
Answer:
18.43 units
Step-by-step explanation:
132/360 cause 360 degrees in circle
π4^r=area of totoal
16π= area
16π*132/360=18.4306769011
I need help question is in image.
PLEAse help geometry
Answer:
A clockwise rotation of 90° about the origin
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
x ≈ 17.5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )
x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )
What number and what percent describe the probability of a certain event?
Enter the correct answers in the boxes.
The probability of a certain event is
__ or __%.
The probability of an impossible event is
__ or __%.
Answer:
The probability of a certain event is 1 or 100%
The probability of an impossible event is 0 or 0%
Answer:
See below ~
Step-by-step explanation:
The probability of a certain event is 1 or 100%.The probability of an impossible event is 0 or 0%.Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
2x^2 + 8x − 19.25 = 0
3x^2 + 5x − 19.25 = 0
4x^2 + 16x − 4.25 = 0
4x^2 + 16x + 15 = 0
The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have:
The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.
Let's suppose the thickness of the frame is x:
Then, the area of the rectangle:
(2x+3)(2x+5) = 19.25
4x² + 10x + 6x + 15 = 19.25
4x² +16x - 4.25 = 0
Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.
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In the diagram below, perpendicular lines e and g are intersected by line f. Based on the angle measures in the diagram, what is the value of x?
Answer:
x = 43
Step-by-step explanation:
the angle in the triangle is vertically opposite 47° and is congruent
the sum of the 3 angles in the triangle = 180° , then
90 + 47 + x = 180
137 + x = 180 ( subtract 137 from both sides )
x = 43
how to convince your parents to go shopping for clothes?
Answer:
Be Nice & Have Manners.
Step-by-step explanation:
Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.
Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help
Answer:
21.9
Step-by-step explanation:
When rounding to the nearest tenth, we are rounding to 1 decimal place.
If the number in the hundredth place is 5 or more, we round up.
If the number in the hundredth place is less than 5, we round down.
17.26 rounded to the nearest tenth is 17.3
as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.
4.556 rounded to the nearest tenth is 4.6
as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.
Therefore, 17.3 + 4.6 = 21.9
If Birr 5000 is invested with a compound interest rate of 4 percent per annum, which of the following is the amount of the future value at the end of a 24th month?
a.
5203.02005 Birr
b.
5634.6205 Birr
c.
5365 Birr
d.
5408 Birr
Answer:
d. 5408 Birr.
Step-by-step explanation:
24 months = 2 years.
Amount after 2 years = 5000(1 + 0.04)^2
= 5408.
Hey, what it do? I need help i am in imense pain trying to answer this can someone help me?
Toby plans to enroll for 2 semesters per year of college. How can he calculate the extra amount he needs for expenses for each semester? What is the amount that he needs per semester?
Anna is 12, she is 5'3, 107 pounds, and her shoe size is 6 (girls, USA shoe size). however, she is trying to buy womens shoes and doesn't know which shoe size would fit her good. What size would fit her feet?
Answer:
Size 8
Step-by-step explanation:
A woman's size 8 in kids is a 6 or 6.5 youth shoe size.
PLEASE HELP ILL MARK BRAINEST!! WHAT IS THE RISE, RUN, AND F(X).
Answer:
First question (on left) f(x) = 5x-3. second question (on right) f)x) = 1/2*x
Step-by-step explanation:
rise(left) 4. run (left) 20.
rise(right) 8. run(right) 4.
I need help with my math!! help me pleaasee.
Answer:
60 degrees
Step-by-step explanation:
Angles in a triangle add up to 180
79 add 41 is 120
180 minus 120 is 60
What is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.
Answer:
3/36 (8.333%)
Step-by-step explanation:
On a two (6 sided) dice roll probability table is
3. 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)
10. In a sale, the price of a digital camera is reduced by 18%.
The new price of the camera is £287.
(a) Work out the price of the camera before the sale
Answer:
£350
Step-by-step explanation:
287/0.82
9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answer:
$18019.37
Step-by-step explanation:
[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]
≈ $18019.37