Answer:
cos theta is -0.866
Step-by-step explanation:
We have the range as between 90 and 180 degrees (pi is the same as 180 degrees)
The quadrant we are considering here is the 2nd quadrant
Mathematically;
if sin theta = 0.5
theta = arc•sin 0.5
theta = 30 degrees
The angle on the second quadrant is of the likes;
180-theta
so we have 180-30
and that is 150 degrees
cos (150) is thus; -0.866
Use this rule to fill in the table.
Rule: Subtract 6 from the input to get the output.
Answer:
1= 1
2=11
3=7
Step-by-step explanation:
subtract 6 from the input so
7-6=1
11-6=5 so input 11
13-6=7
5. Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he
assembled 137 toys. He noticed that since he started, every day he assembled 3 more
toys than the day before. How many toys did Jamal assemble altogether during his first
20 days?
(Arithmetic sequence)——
2170 toys Jamal assemble altogether during his first 20 days.
What is the arithmetic sequence?
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
Here, we have
Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.
We have to find how many toys did Jamal assemble altogether during his first 20 days.
We apply the arithmetic sequence formula and we get
tₙ = t₁ + (n-1)d
137 = t₁ + (20-1)(3)
t₁ = 80
To calculate the total number of toys that Jamal assemble in his first 20 days,
S₂₀ = (20/2)(2×80 + (20-1)(3))
S₂₀ = 2170
Hence, 2170 toys Jamal assemble altogether during his first 20 days.
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Angle of elevation please help if you know .tysm
Answers:
Y = 176.0 feetX = 128.7 feetNote: Your teacher may not want you to type "feet" into the answer boxes.
=============================================================
Explanation:
The tree's shadow is 120 ft long, so it's the length of the horizontal side of the triangle. With regard to the reference angle (47 degrees), this 120 ft side is adjacent to the angle because it's as close as possible to the angle. That means the X is the opposite side of the reference angle.
The Y side is the longest side. It's the hypotenuse. The hypotenuse is always the longest side and always opposite the largest angle of a right triangle (so it's always opposite the 90 degree angle).
-------------
To find Y, we'll use the cosine rule
cos(angle) = adjacent/hypotenuse
cos(47) = 120/Y
Y*cos(47) = 120
Y = 120/cos(47)
Y = 175.9535 .... make sure your calc is in degree mode
Y = 176.0
When rounding to the nearest tenth, the second '5' will bump that 9 up to 10, which then carries over and why 175 bumps up to 176.
The distance from the tip of the tree to the tip of the shadow is roughly 176 feet.
-------------
We can use the tangent rule to find X
tan(angle) = opposite/adjacent
tan(47) = X/120
120*tan(47) = X
X = 120*tan(47)
X = 128.6842
X = 128.7
The tree is roughly 128.7 feet tall
This is somewhere between a 12 story and 13 story building assuming each story is 10 ft (since 12 stories = 12*10 = 120 ft, and 13 stories = 130 ft).
yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight
Answer:
The temperature was -8.5
Step-by-step explanation:
Subtraction
Do the following lengths form a right triangle?
6
8
9
Answer:
No
Step-by-step explanation:
You can check using pythagoras theorem
I NEED HELPPPPPPP
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.
Answer:
Since she needs 10 cones:
10 * 116.52 sq. ft = 1,165.2 sq ft.
She will need 1,165.2 sq ft of material.
Step-by-step explanation:
6. If l // k and k // m, then
Answer:
If l //k and k// m then L//mSo, option D is your answer
Step-by-step explanation:
If 2 lines are parallel to A Third line, then the 2 lines are parallel.
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hope it helps..
have a great day!!
PLS HELP! THANKS!
look at image I provided.
Answer:
m = 8h
Step-by-step explanation:
For any given h value (number of hours), the m value is h * 8. For example, after 2 hours, she has earned 16 dollars. h is 2 and h * 8 = 16.
Answer:
m = 8h
Step-by-step explanation:
She earns 8 dollars per hour.
For example:
If she worked for 5 hours she would earn 40 dollars.
m = 8(5)
m = 40
And the first derivative of
f(n) = 15e
Answer:
[tex]\displaystyle f'(n) = 0[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
The derivative of any constant is equal to 0.
hellpp me plssss :( NO LINKS!
Answer: the perimeter of the garden is 24 and the area of the garden is 32
Step-by-step explanation:
Perimeter: 4 + 4 + 8 + 8 = 24
Area: 4 x 8 = 32
On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year
So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.
A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.
B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.
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Solve each system by elimination
-3x-6y=-3
5x+5y=0
Answer:
x=1 and y=−1
Step-by-step explanation:
Multiply the first equation by 5,and multiply the second equation by 6.
5(−3x−6y=3)
6(5x+5y=0)
Becomes:
−15x−30y=15
30x+30y=0
Add these equations to eliminate y:
15x=15
Then solve15x=15for x:
15x=15
15x
15
=
15
15
(Divide both sides by 15)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−3x−6y=3
Substitute1forxin−3x−6y=3:
(−3)(1)−6y=3
−6y−3=3(Simplify both sides of the equation)
−6y−3+3=3+3(Add 3 to both sides)
−6y=6
−6y
−6
=
6
−6
(Divide both sides by -6)
y=−1
c=⟨–5,8⟩ and d=⟨7,4⟩, find –4c–4d.–4c–4d=
Denise dusted a square tabletop with an area of 36x^16y^4 units write an expression to represent one side length of the table top
The length of the side of the table top as calculated from the given data will be 6x⁴y².
To calculate the area of the table top we will have to square of the sides given .
area =(36x.16y^4 )²
side =√(36x.16y^4 )²
= 6x⁴y².
In mathematics the product of a number multiplied by itself is considered to be its square. Eg.) 6 multiplied by 6 gives 36 which is known as its square.
The given table is square in shape and hence its area will be given my multiplying its side with itself.
Area of a square = side x side.
To find its length we can simply find the square root of the number.
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Answer quickly please. No links please. The length of the minute hand is 150% of the length of the hour hand.what distance will the tip of the minute hand move in 45 minutes? round to the nearest hundredth. the minute hand will move ? Answer quickly please.
Answer:
108π mm.
Step-by-step explanation:
The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
PLEASE ANSWER QUICK!!!
Answer:
(0,5) and (1,0)
Step-by-step explanation:
if m LJK=28 what is m MLK
Answer:
if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.
A certain star is 5.5 times 10 to the second power light years from the Earth. One light year is about 5.9 times 10 to the twelth power miles. How far from the earth (in miles) is the star?
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answer:
Step-by-step explanation:
3.245e+13
Helpppppppppp pleaseeee
what is the perimeter of the triangle?
Answer:
the picture is messed up
Step-by-step explanation:
Answer:
34?
Step-by-step explanation:
P=a+b+c=10+12+12=34
The six sides of a number cube are labeled 1,2,3,4,5,and six you flip a coin and roll the number cube what is the theoretical probability that the coin lands on heads and u roll the cube and the number is less then 5. Write your answer as a fraction
The theoretical probability that the coin lands on heads and roll the cube and the number are less than 5 is 1/3.
What is an event?
An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.
There are 6 faces of a cube.
The numbers less than 5 on a cube are 1, 2, 3, 4.
The number of favorable outcomes is 4.
The total number of outcomes is 6.
The probability of getting less than 5 is
favorable outcome/ total number of outcomes = 4/6 = 2/3.
The number of faces of a coin is 2.
The number of heads of a coin is 1.
The probability of getting head is 1/2.
The probability of getting less than 5 in a roll and head in the coin is
2/3 × 1/2 = 1/3.
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BRAINLIEST TO BEST IN DEPTH ANSWER (NO BRAINLY IF DOESN'T ANSWER ALL QUESTIONS
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
5
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
orgoi2rv
What is the degree of the polynomial 7x³ 5x 4x³ 2x²?
The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.
The degree of a polynomial is the highest power of x in the polynomial.
In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.
It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.
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Which equation with exponential expression are true?
Answer: B,D
Step-by-step explanation:
y = -3x + 2 y = 4x - 5. *
can someone solve this for me please?
Answer:
y= -3
y = 4
Step-by-step explanation:
please and thank you help with math!!
Answer:none of these
Step-by-step explanation:
HELP PLEASE!! this is 8th grade math btw
Answer:
the 2nd one
Step-by-step explanation:
PLs anwser this go see attachement
Answer: 157.1
Step-by-step explanation:
write the frraction 7/14 in simplest form
Answer:
To find the simplest form is to find a number than can evenly go into both numbers. 7/14=1/2. 1/2 as you can divide 7 into 7 one time and 7 into 14 twice. A half (1/2). Because 7 is the half of 14, so the simplest form is 1/2. At first look you think it's already in its simplest form, but
explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{7}{14}}\\\\\\\mathsf{= \dfrac{7\div7}{14\div7}}\\\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]