Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = [tex]Tan^{-1}[/tex] 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.848
= 58°
Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more copies did Yuri make than Nathan?
Answer:
Yuri made 947 more copies than Nathan.
Step-by-step explanation:
Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.
Thus, Yuri made 947 more copies than Nathan.
Given m|n, find the value of x.
t
156°
х.
Answer:
i think the answer would be 156° .
hope it helps you ^.^
An equilateral triangle has a side length of 10 units. What is it’s area?
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?
Select all the expressions that equal 4 x 106.
(2 x 108) (2 x 10-2)
40 x 105
1.2x10°
3x102
406
400,000
Find the surface area.
Answer:
do you want to me to find it for all or just 1
Answer:
88 [tex]m^{2}[/tex]
Step-by-step explanation:
The surface are is the total area of all the faces
Opposite faces have the same area
Label each side either l, h or w
SA of a cuboid = 2lw + 2lh + 2hw
(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8
5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________
Answer:
$2666.66Step-by-step explanation:
Yearly income = $32000Each installment is 1/12 of a yearly income:
$32000/12 = $2666.66Annual salary=32000
Monthly salary
32000/1216000/68000/3$2666.67The length of a rectangle is 3 inches more than three times it's width. Write an equation relating the length, “, of the rectangle to its width, w.
I need help with solving this equation.
Answer:
66 m².
Step-by-step explanation:
From the question given above, the following data were obtained:
Diagonal 1 (d₁) = 11 m
Diagonal 2 (d₂) = 12 m
Area (A) =?
The area of a rhombus when the diagonals are given can be obtained as follow:
A = ½(d₁d₂)
A = ½ × (11 × 12)
A = ½ × 132
A = 66 m²
Thus, the area of the rhombus is 66 m²
4 Does the equation y = x represent a function? Explain why or why not.
Answer:
y=x is a function!
Step-by-step explanation:
The reason it is a function is because it can create a:
A slope
A why y and x intercept
and a graph
Remember that x=1 and Y=1 ALWAYS
What's 2+2 ?
First one to answer gets cash prize!
Answer:
4
(if this is a joke then the answer's 5, a fish, etc...)
Answer:
4
Step-by-step explanation:
Given the diagram below, find the value of x.
A
14
B
X
с
30
The value
of x is?
Answer:
yes 11000
Step-by-step explanation:
1 4/8 - 7/8 what is the answer
Answer:
0.875
Step-by-step explanation:
have a good day/night
may i please have banilliest
thank u
sorry if wrong
Select the correct answer.
Which statement is true?
A.
The mean lies to the right of the median for a positively skewed distribution.
B.
The mean lies to the left of the median for a positively skewed distribution.
C.
The mean lies to the left of the median for a symmetric distribution.
D.
A distribution skewed to the right is said to be negatively skewed.
E.
A distribution skewed to the left is said to be positively skewed.
Answer:
The correct answer would be The mean lies to the left od the median for a positively skewed distribution
Step-by-step explanation:
Answer: The mean lies to the left odd the median for a positively skewed distribution
someone please help me answer this!!
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
!!WILL MARK BRAINLIEST!!
(08.01 MC)
Find the height of a square pyramid that has a volume
of 32 cubic feet and a base
length of 4 feet. (1 point)
1) 2 feet
2) 4 feet
3) 6 feet
4) 8 feet
Saved
Question 5 (1 point)
(OB.02 MC)
Answer:
4) 8
Step-by-step explanation:
Answer:
6 feet
Step-by-step explanation:
Formula: V=1/3Bh
V=1/3(4×4)6
V=1/3(16)6
V=1/3(96)
V=96÷3
V=32
(P.S.-The capital 'B' in the formula stands for the area of the square base)
Hope this helped :)
In APQR, what is the mZQ? Enter your answer in the box.
Answer:
∠Q = 105°
Step-by-step explanation:
(6x + 5) + (11x - 5) + x = 180°
combine like terms:
18x = 180°
x = 10°
∠Q = 11(10) -5 = 105°
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.
a. The normal approximation to the binomial
b. The exact binomial tables
my brain can't process this lol
find the value of x
help please !
Answer:
56°
Triangles are supposed to equal 180° when all the degrees inside are added, and when you add 44 and 80 it equals 124
Now you subtract 124 from 180 and then you get 56
So the answer would be 56° :)
Help with number 3 please :)
Answer:
32
You’re... welcome?
Answer:
32
Step-by-step explanation:
The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.
Please help and stop with the links!
I need help with this question please
9514 1404 393
Answer:
y = -x -2
Step-by-step explanation:
The line crosses the y-axis at y = -2, so that is the y-intercept.
The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.
m = rise/run = -3/3 = -1
Then the slope-intercept equation is ...
y = mx +b . . . . . slope m, y-intercept b
y = -x -2 . . . . . . . using m=-1, b=-2
What is 2/3 of 9?
2
3
6
7
Answer: 6
Step-by-step explanation:
2/3 of 9 is basically 2/3 times 9
Answer:
6, because this and that is this and that bam boom bap, just trust me bro
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!
Answer:
Yes
Yes
No
No
Step-by-step explanation:
Brainliest for both correct answers
Answer:
Question 1: A
Question 2: D
Step-by-step explanation:
I hope it helps
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.
Answer:
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.
This means that [tex]\sigma = 15, \mu = 590[/tex]
Find the probability of a bulb lasting for at most 605 hours.
This is the pvalue of Z when X = 605. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{605 - 590}{15}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?
Answer:
6m by 8m by 10m
Step-by-step explanation:
6²+8²= 100
36+64=100
100=100
Help me please I’m not smart -
PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.
A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.
A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.
Answer:
The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Step-by-step explanation:
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.