Answers
Answer/Step-by-step explanation:
Recall: SOHCAHTOA
✔️Sin M = Opp/Hyp
Reference angle = M
Opp = 3√21
Hyp = 15
Sin M = (3√21)/15
Sin M = √21/5
✔️Cos M = Adj/Hyp
Reference angle = M
Adj = 6
Hyp = 15
Cos M = 6/15
Cos M = 2/5
✔️Tan M = Opp/Adj
Reference angle = M
Opp = 3√21
Adj = 6
Tan M = (3√21)/6
Tan M = √21/2
Related Questions
Please someone help me with this
Answers
Answer:
2,-1.5
Step-by-step explanation:
To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.
[tex]\frac{2+2}{2} ,\frac{4+(-7)}{2}[/tex]
=[tex]\frac{4}{2} , \frac{-3}{2}[/tex][tex]\frac{4}{2} , \frac{-3}{2}[/tex]
=2,-1.5
Here's the answer for you
bruce’s sock drawer contains 9 black socks, 4 white socks, and 12 Brown socks. Express shoes is a sock at random, what is the probability that he will choose a sock that is not brown.
A. 16/25
B. 13/25
C. 12/25
D. 9/25
Answers
Answer:
hdhdjidnd rkdb akkabdbnfjbf
dhideijd
eeijberb
Answer: I think its C (12/25) I'm not completely sure though.
Step-by-step explanation:
Help!! I am no good in math..
Answers
Answer:
80/100 is 0.8
Step-by-step explanation:
sorry if I'm wrong
Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 1–by–5–foot rectangle with a semicircle at each end, as shown.
Answers
Answer:
iodfk
Step-by-step explanation:
7 x what = 315?????????????
Answers
Answer:
7 × x = 315
x = 315 ÷ 7
x = 45
45 is the answer.
Answer:
45
Step-by-step explanation:
315 ÷ 7 = 45
Kaitlyn sells mini donuts by the box size. The amount of space in the boxes is known as the ________. A. Volume B. Area C. Perimeter
Answers
Answer: Area
Step-by-step explanation:
god bless
Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.
f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given:
[tex]\to f(x,y)=xy\\\\\to 48x^2+3y^2=3456\\\\[/tex]
let [tex]\phi(x,y)=48x^2+3y^2=3456[/tex]
using the lagrange multiplies:
[tex]\bigtriangledown f=\lambda \bigtriangledown \phi\\\\i)\ \ y=96 \lambda x \to \lambda=\frac{y}{96\ x} \\\\ii)\ \ x=6 \lambda y \to \lambda=\frac{y}{6\ y} \\\\iii)\ \ 48x^2+3y^2=3456\\\\[/tex]
From equation (i) and (ii)\\\\
[tex]\to \frac{y}{96x}=\frac{x}{6y}\\\\\to 6y^2=96x^2\\\\\to 3y^2=48x^2\\\\[/tex]
From equation 3:
[tex]48x^2+48x^2=3456\\\\96x^2 3456\\\\x^2=36\\\\x=\pm 6\\\\\therefore 3y^2=48(36)\\\\3y^2=1728\\\\y^2=576\\\\y=\pm24\\\\(x,y)=(\pm 6,\pm 24)\\\\Maximum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 144 \ \ \ \ at \ \ (6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (-6, -24) \\\\Minimum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -144 \ \ \ \ at \ \ (-6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (6,-24)\\\\[/tex]
The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden
Answers
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
Hope it helps :)
Answer:
Step-by-step explanation:
Width = w
Length = 2w + 8
Area of rectangular garden = 280 square meter
length * width = 280
(2w + 8 ) *w = 280
2w * w + 8*w = 280
2w² + 8w = 280
2w² + 8w - 280 = 0
Divide the whole equation by 2
w² + 4w - 140 = 0
w² + 14w - 10w - 14 *10 = 0
w(w + 14) - 10(w + 14) = 0
(w + 14)(w - 10)= 0
w - 10 = 0 {Ignore w + 14, as measurements will not be -ve}
w = 10 m
l = 2*10 +8
= 20 +8
l = 28 m
If you car gets 25 mpg (miles per gallon), how many gallons do you need to buy to drive 375 miles?
Answers
Answer:15
Step-by-step explanation:
375/25=15
Answer:
The answer is 15.
375 ÷ 25 = 15.
Hope this helps!!
Cos Y=?
5/13
5/12
12/13
Answers
Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
Mariana wears her winter coat when the temperature is colder than -4°
Answers
Answer:
your answer is t < -4
Step-by-step explanation:
hope it helps...
have a great day!! :)
Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.
Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?
(A) |--20 – 12
(B) |--20 + 12
(C) 20 – 12
(D) -20 + 12
Answers
Answer: B
Step-by-step explanation:
Jada is working as a waitress. If she earned $70 in tips and worked four hours and made $110 that day, how much money does Jada make each hour?
Answers
Answer:
45
Step-by-step explanation:
1. $70 + $110 = $180
2. $180 ÷ 4 = $45/hour
1. What is the opposite of 6.87?
Answers
Answer:
-6.87
Consider the opposite symbol
(Negative and Positive)
Figure A ~ Figure B
Figure A
Figure B
R = 5 ft
R = 2 ft
V = 88 cu ft
Find the volume of Figure A.
Answers
Answer:
The answer is
1375ft3
Step-by-step explanation:
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Answers
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Which of the following is NOT a negative result of unemployment?
A. promotion
B. anxiety
C. depression
D. subsidized housing
Answers
Answer: A
Step-by-step explanation: Promoting somebody is not a bad result of unemployment it might just mean you got transferred to another store.
Gillian has completed 25% of a bicycle race. If the length of the race is 32 km, how many has she traveled so far?
800
80
8
8000
NO LINKS
Answers
Answer:
8 km
Step-by-step explanation:
0.25 x 32 = 8
Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J
Answers
Help me ASAP plzzzz I’m struggling on this one rlly badly
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
Points on the path: (0, 5) and (1, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-5)/(1-0)
m= (-2)/1
m= -2
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Brianna earns $19,500 per year. Lisa earns $1000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa
Answers
Answer:
$19,500 - $1000
Step-by-step explanation:
the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns
$19,500 - $1000 = $18,500
Find y
Round to the nearest tenth:
28°
X
350 ft
y
y = [ ? ]ft
Enter
Answers
Answer:
y = 658.3 ft
Step-by-step explanation:
Angle of depression = angle of elevation = 28° (alternate angles are congruent)
Reference angle = 28°
Side length opposite to reference angle = 350 ft
Adjacent = y
Apply trigonometric function, TOA:
Tan 28 = Opp/Adj
Tan 28 = 350/y
y*Tan 28 = 350
y = 350/Tan 28
y = 658.254263 ≈ 658.3 ft (nearest tenth)
A cartographer used a scale of 1 inch:300 meters for the heights of different mountains. If the actual height of one of those mountains is 3,600 meters, what is its height on the map?
Answers
Answer:
The height on the map is of 12 inches.
Step-by-step explanation:
Scale of 1 inch:300 meters
This means that each inch on the map represents 300 meters of real height.
If the actual height of one of those mountains is 3,600 meters, what is its height on the map?
Using proportions, by a rule of three:
1 inch - 300 meters
x inches - 3600 meters
Applying cross multiplication:
[tex]300x = 3600[/tex]
[tex]x = \frac{3600}{300}[/tex]
[tex]x = 12[/tex]
The height on the map is of 12 inches.
WHICH TWO FUNCTIONS REPRESENT EXPONENTIAL DECAY?
Answers
Answer:
maybe third and first? ıdk :((
Answer:
first and third kind of two functions represent exponential decay.
The population of a city increases by 1% per year. If this year's
population is 264,000, what will next year's population be, to the nearest
individual?
Answers
Answer:
266640 population
Step-by-step explanation:
Adrian is thinking of different decimal numbers. He gives the following clues
- Each decimal is smaller than 1
- The tenth digits in each decimal is odd.
- when the decimals are converted to fractions, the numerators total 15.
what decimal numbers could adrian be thinking of? find all the possibilites.
Answers
Answers:
Some possible answers are: 0.15, 0.3, and 0.75
Step-by-step explanation:
[tex]0.15=15/100[/tex]
[tex]0.3=15/50[/tex]
[tex]0.75=15/20[/tex]
The law of large numbers tells us that the distribution of a large random sample should resemble the distribution from which it is drawn.
a. True
b. False
Answers
Answer:
b. False
Step-by-step explanation:
The law of large numbers, in statistics, says that the experimental average found in a large number of trials should be very close to the theoretical probability. It does not say anything about distribution. So the answer to this question is False, which is given by option b.
The one highlighted is wrong please help
Answers
Answer:
The .79 correlation is strong and positive, but "significan" is a question not answered by the correlation coefficient. Many people mistake correlation for causation--one variable's change causing the other variable to change.
Pick the second answer.
Find the diameter of the object. 2 in
Answers
Answer:
Step-by-step explanation:
Can you write your questions clearly, so we can answer it well
Answer:
is it 2 inches?
Step-by-step explanation:
Footlocker in the mall is having a 25% off sale on all tennis shoes. Joe paid $67.50 for his
favorite tennis shoes that were on sale. What was the original price of the shoes?
Answers
Answer:
The original price of the shoes was $90.
Step-by-step explanation:
25% off means the price Joe paid for it is 75% of the original price.
Set up an equation:
75/100 = 67.50/x
Cross multiply
75 × x = 100 × 67.50
75x = 6750
x = 90
Check our work:
First solve for 25% off of 90 (our answer).
25% = 0.25
90 × 0.25 = 22.50
Next, subtract the discount from 90.
90 - 22.50 = 67.50
67.50 was what Joe paid so this is correct.
