Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
Please help I would be really happy:)
Solve for all values of x by factoring.'
x2 + 10x + 21 = 0
Answer:
Step-by-step explanation:
2x+10x=12x
12x=-21
x=-1.75
Answer:
x=-7,-3
Step-by-step explanation:
x2+10x+21
(x+7)(x+3)
x=-7,-3
A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.
Answer:
4/4 ?
Step-by-step explanation:
Answer:
4/4
Step-by-step explanation:
Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.
Write the equation of the line in fully simplified slope-intercept form.
The quotient of 9 and 3 subtracted from the product of 6 and 2
Answer:
(6⋅2)−(9/3)
Simplify each term.
12−3
Subtract 3 from 12.
9
Step-by-step explanation:
it’s a non calc question
Answer:
60 Degrees
Step-by-step explanation:
trust me
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
A
Step-by-step explanation:
It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.
A cone has a height of 24 inches, a slant height of 25 inches, and a diameter of 14 inches. What is the surface area of the cone?
a.
1,176 in2
b.
392 in2
c.
224 in2
d.
178 in2
Comparative financial statement data for Carmono Company follow: This Year Last Year Assets Cash $ 8.50 $ 16.00 Accounts receivable 54.00 47.00 Inventory 97.50 84.40 Total current assets 160.00 147.40 Property, plant, and equipment 237.00 198.00 Less accumulated depreciation 47.20 35.40 Net property, plant, and equipment 189.80 162.60 Total assets $ 349.80 $ 310.00 Liabilities and Stockholders’ Equity Accounts payable $ 58.50 $ 48.00 Common stock 126.00 97.00 Retained earnings 165.30 165.00 Total liabilities and stockholders’ equity $ 349.80 $ 310.00 For this year, the company reported net income as follows: Sales $ 950.00 Cost of goods sold 570.00 Gross margin 380.00 Selling and administrative expenses 360.00 Net income $ 20.00 This year Carmono declared and paid a cash dividend. There were no sales of property, plant, and equipment during this year. The company did not repurchase any of its own stock this year. Required: 1. Using the indirect method, prepare a statement of cash flows for this year. 2. Compute Carmono’s free cash flow for this year.
an aquarium at the zoo is shaped like a cylinder. it has a height of 4 feet and a base radius of 2.5 feet. the aquarium is being filled with water at a rate of 12 gallons per minute. if one cubic foot is about 7.5 gallons, how long will it take the aquarium to fill? round to the nearest whole minute.
Answer:
49 minutes
Step-by-step explanation:
Volume
v = πr²h
v = π(2.5²)4
v = 78.5 ft³
--------------------------
Gallons needed
78.5 * 7.5 = 588.75 gallons
----------------------
Time to fill
588.75 / 12 = 49.0625
Rounded
49 minutes
Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8
Answer:
A) 32
Step-by-step explanation:
f(3)=1/2(4)^(3)
Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =
Answer:
g=30y^2+6y^2
Step-by-step explanation:
30 years left after six were taken
what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]
om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev
5,203,870,272
Step-by-step explanation:
8×3^14×136
=(8)(4782969)(136)
=(38263752)(136)
=5,203,870,272
i think this is the answer
Express 72km/h in meter per sec
Answer:
20meter per second is tw correct answer
20 m/s
Step-by-step explanation:
1km/h = 1000m/3600s = 5m/18s
⇒ 72 × 5 ÷ 18 = 20 (m/s)
you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30
Answer:
15 pounds
Step-by-step explanation:
we can set up a proportion:
5/10=x/30
solve for x:
5/10=x/30
10x=150
x=15
(or you could've done 5*3=15 since $30/$10=3)
olve the system of linear equations by graphing. =3+3 - 2x - 3
Answer:
If the equation is actually typed like that the answer will be
3-2x
If is typed like this 3-2x-3+3=
It will be
-2x+3
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEE
D is going in the 4th quadrant. Please help
It takes a racecar 47 seconds to complete one lap on a 3,200-meter track. What is the racecar's average speed during the lap? A. 150 m/s B. 68 m/s C. 15 m/s D. 79 m/s
WILL NAME BRAINLIEST
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
I’ll give you five Stars right answer only
Answer:
58
Step-by-step explanation:
i think the answer is 58 please give brainliest
Answer:
(a) 18.5ft
(b) 388.5 ft²
Step-by-step explanation:
(a)
She has 79ft of fence = the perimeter will be 79.
Perimeter of a rectangle = 2(length) +2(width)
79 = 2(21)+2(width)
2(width) = 79 - 42
width = 37/2
width = 18.5ft
(b)
Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²
If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest
Answer:
yes
Step-by-step explanation:
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
PLS HELP 40 POINTS
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger are the dimensions of the larger prism?
25
625
5
10
Answer:
C. 5Step-by-step explanation:
The area is the product of two dimensions.
If the ratio of sides is k, then the ratio of areas is k²
We have:
k² = 200/8k² = 25k = √25k = 5Correct choice is C
5
Have a great day/night!
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
Leearn more here: https://brainly.com/question/13805464
(u + 4.5)(1.2) please help
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18