Answer:
1/cos^2(180-theta) - 1
Step-by-step explanation:
According to trigonometry identity
tan^2 theta + 1 = sec^2 theta
tan^2 theta = sec^2 theta - 1
hence tan^2(180-tetha) = sec^2 (180 -theta) - 1
tan^2(180-tetha) = 1/cos^2(180-theta) - 1
Hence the value of tan^2(180-tetha) is 1/cos^2(180-theta) - 1
simplify fully (9(x+7))÷(3(x-1))
Answer:
3x + 60
Step-by-step explanation:
9(x + 7) ÷ 3(x - 1) =
9x + 63 ÷ 3x - 3 =
9x ÷ 3x + 63 - 3 =
3x + 60
Note: For the third equation which is 9x ÷ 3x and etc, you have to put alphabets and numbers at one side seperately to be able to simplify easily.
If m= 3 in the equation 2m=4-n, find the value of n.
Answer:
-2
Step-by-step explanation:
Which is proportional
Answer:
B
Step-by-step explanation:
It goes up the same amount ($0.75) for every bar you get.
You invested $101 and received $106.05 after one year.what was the interest rate?
The person below me is true
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
Need help :C
A bakery in Hong Kong regularly orders carton of cranberries from Australia. The net weight (in ounces) of
cranberries of a random sample of 20 cartons were as follow:
160 170 170 190 210 240 240 240 270 280
290 290 300 420 500 520 530 610 630 650
(c) The bakery orders the cranberries from Australia with currency exchange rate of AUD 1 to HKD 5.8.
For each ounce of Australia cranberries costs AUD 2 and the fixed shipping fee of each carton is HKD
80. Find the mean, standard deviation, range, and third quartile of the payment (in HKD) of ordering a
carton of cranberries from Australia to Hong Kong.
Answer:
i) Mean = 1933.1817
ii) Range = 5684
iii) Third quartile = 6054
Step-by-step explanation:
Given data :
currency exchange rate : 1 AUD = 5.8 HKD
cost of each ounce = 2 AUD
Fixed shipping cost for each carton = 80 HKD
number of cartons = 20
next determine the total cost of the 20 cartons in HKD
= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost
= ∑ ( 160*2*5.8 + 80 ) + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )
= 81756 HKD
i) find the mean value ( X )
= Total cost / number of cartons
= 81756 / 20 = 4087.8
ii) Find the standard deviation
= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex] note: std = √∑(xi-X )^2 / (n-1)
= 1933.1817
iii) Find the range
Range = highest cost - lowest cost ( values gotten from equation 1 )
= 7650 - 1936
= 5684
iv) Determine the third quartile
third quartile = 6054
attached below is the detailed solution
What is the y-intercept of this line? Acellus, 10 points for answer.
Answer:
y-intercept is ( 0 , 5 )
Step-by-step explanation:
Find f'(x) for the given function.
f(x) = 5/3-x
Answer:
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{5}{3-x}[/tex]
Derivative of a quotient:
Suppose we have a quotient:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this question:
Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]
Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]
So
[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
(-1) + 1 = 0 is which inverse
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer....
--> ADDITIVE INVERSE!Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.
Hope it helps you,
mark me brainliest pls.....
Follow me! :)
find m<1 in the rhombus below
Answer:
[tex] m \angle \: 1 = 120 \degree[/tex]
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,
[tex]m \angle \: 1 = 120 \degree[/tex]
Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?
Are there any other numbers to this question? I will be glad to help.
A city council wants to know if residents would like a dog park . They sent a survey to every household in the city . The results of those who responded are shown in the table below . What is the experimental probability that a household has 2 or more dogs ?
Answer:
probability= event / sample space
= 129/860
=3/20
=0.15(15%)
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
One number is 7more than twice the other number. If the sum of the two numbers is 25, find the two numbers.
Answer:
6 and 19
Step-by-step explanation:
x+2x+7=25
3x=18
x=6
the other number is 19
9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft
Answer:
4,050 cubic feet
Step-by-step explanation:
The figure is made up of a square pyramid and cube
Therefore:
Volume of the figure = volume of the square pyramid + volume of the cube
✔️Volume of the square pyramid = ⅓*a²h
a = 15 ft
h = 9 ft
Volume of square pyramid = ⅓*15²*9 = 675 ft³
✔️Volume of the cube = s³
s = 15 ft
Volume of the cube = 15³ = 3,375 ft³
✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
10(2x - 4) + 5 = 2x - 8
Step-by-step explanation:
10(2−4)+5=2−8
10(2x-4)+5=2x-810(2x−4)+5=2x−8
Solve
1
Distribute
10(2−4)+5=2−8
20−40+5=2−8
2
Add the numbers
3
Add
35
3535
to both sides of the equation
4
Simplify
5
Subtract
2
2x2x
from both sides of the equation
Solve for x
I don’t have much time pls help. Round to the nearest hundredth
Help me with number
4,5,6,7
Answer
number
4.D
5.B
6.C
7.BHopes this helpFind the area of the trapezoid.
Recall : (b + b) h
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
If cotton candy sells for $4 per bag and the booth is
open for 12 hours, how many bags does the owner
have to sell to break even?
Answer:
Here ya go ! :)
Step-by-step explanation:
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
What is the equation of this circle in standard form?
A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25
Answer:
D.
(x − 5.5)2 + (y − 4)2 = 12.25
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answer:
24 dollars
Step-by-step explanation:
each pound is $1.60 and 15 times $1.60 equals 24
Answer:
$24
Step-by-step explanation:
5/8=15/x
cross product
8*15=5*x
120=5x
x=120/5
x=24
Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.