we know that sin(θ) is 4/5, and we also know that θ is in the I Quadrant, where sine and cosine are both positive, so
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-4^2}=a\implies \pm 3=a\implies \stackrel{I~Quadrant}{+3=a}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}[/tex]
Korey’s comic book store has been up and running for 4 years. korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. he would like investors to cover the cost of his expansion. the profits of korey’s comic book store for its first four years are outlined below. according to this information, what would be the best estimate for korey to quote as expected profits in the next year in his new business plan? year net profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5 a. $20,550.19 b. $19,090.90 c. $19,280.60 d. $19,386.97 please select the best answer from the choices provided a b c d
Based on his net income growth rate over the past 4 years, Korey's comic book store can quote expected profits of $19,386.97.
What is the expected profit?The expected profit is the probability of getting a profit on a certain amount.
First, we need to find the rate of growth for his income
= (4th year income - 3rd year income) / 3rd-year income
= (17,950.90 - 16,621.20) / 16,621.20
= 8%
The expected income
= 4th year income x ( 1 + growth rate)
= 17,950 x ( 1 + 8%)
= $19,386.97.
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Solve for x:
4x – 7 = 8x + 33
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
Which of the following statements regarding the transmission of pathogens from environmental surfaces are true?
a. Pathogens can be spread by contact with contaminated surfaces.
b. Placing a resident in a room previously occupied by a C. diff positive resident increases the risk for acquiring C. diff. c. You must touch a surface for at least 3 minutes for pathogenic transfer to occur. d. Most pathogens can only survive on surfaces for a few minutes
TRUE statements regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
What are Pathogens?Pathogens can be referred to as microscopic organisms which can cause diseases and illness. They are bacteria, fungi, virus or other disease causing organisms.
These pathogens can be transmitted via environmental surfaces especially by coming in contact with contaminated surfaces. Some pathogens survive longer on surfaces, while some only survive for few minutes.
If someone is placed in a room previously occupied by an infected person, the chances of contacting that same disease is high.
Thus, the statements that are TRUE regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
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The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]
4) finally, the have together 10+25=35 doll-s.
Jacky and Peter had a total of 70 dolls altogether.
What is an equation?A equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Jack doll and y represent Peter doll, hence:
x - 15 = y + 15 (1)
Also:
(5/7)(x + y) = x (2)
From both equations:
x = 50, y = 20
x + y = 50 + 20 = 70
Jacky and Peter had a total of 70 dolls altogether.
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if rx - st = r , which expression represents x
What is the perimeter of triangle ACD?
Will mark brainlyest!!!
Answer:
12
Step-by-step explanation:
Perimeter: a + b + c
Now lets solve!!
5 + 4 + 3 = ?
9 + 3 = ?
12 = ?
Have an amazing day!!!
Please rate and mark brainliest!!
can someone help with this?
Explanation:
The proof can make use of the ASA congruence postulate.
__
Statement . . . . Reason
AB║CD, AD║BC . . . . definition of parallelogram
∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem
ΔACD ≅ ΔCAB . . . . ASA congruence postulate
if 6 pairs of socks cost $6.90, what is the price for one pair of socks
Answer:
1.15
Step-by-step explanation:
6.90 divided by 6 is 1.15
Answer:
$1.15
Step-by-step explanation:
6.90/6 = 1.15
Each Handle is 1/4 the width of the handlebars. How many inches long is each Handle. Width of Handlebar is 2 ft
Answer:
1/2 feet
Step-by-step explanation:
1/4 of 2 feet is 1/2
There are 1/2 inches long is each Handle.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each Handle is 1/4 the width of the handlebars.
And, Width of Handlebar is 2 ft
Hence, Lenght of each Handle is,
⇒ 1/4 of 2
⇒ 1/4 x 2
⇒ 1/2 feet
Thus, There are 1/2 inches long is each Handle.
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Ellen is decorating a ballroom ceiling with garland. If the rectangular ceiling is 48 feet by 64 feet, how much garland will Ellen need to reach from one corner of the ceiling to the opposite corner
For which equation is 0 not a solution?
x - 5 = 4
6 x + 4 = 4
3 x = 0
x + 9 = 9
Answer:
x-5=4, the answer for that equation is not 0. so that is your answer.
Step-by-step explanation:
Lee fills a watering can with 8 cups of water. He pours 4 fluid ounces of the water onto each of the 10 plants in his room. How many cups of water are left in the can?
By performing a change of units, we will see that the amount of water left in the can is 3 cups.
How many cups of water are left in the can?We know that the can originally has 8 cups of water.
Then, you use 4 fluid ounces into each of 10 plants, then the amount used is:
40 fluid ounces.
Now we need to do a change of units.
8 fluid ounce = 1 cup.
1 = (1 cup/ 8 fluid ounces)
Then we can rewrite:
40 fluid ounces = 40 fluid ounces*(1 cup/ 8 fluid ounces) = 5 cups.
This means that lee used 5 cups out of the 8 in the can, so the amount of water left is:
8 cups - 5 cups = 3 cups.
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Offering 55 points to anybody that can solve this! Pls, it's due in like 30 mins!!
Answer:
Show image
Step-by-step explanation:
When reflecting on x-axis, the x-values stay the same and y-values change their signs.
When reflecting on y-axis, the x-values change signs and y-values stay the same.
Answer:
A B and C is there
Step-by-step explanation:
Id appreciate if youd give brainliest :)
Ratidzo bought 25,2kg of tea at $8,75 a kg.How much did she pay for the tea.
Whats the surface area of this prism?
Answer:
25
Step-by-step explanation:
brainly keeps deleting my answer But its 7 + 12 + 6 = 25
I need help on this
1. (x+2) (3x-1)
2. The zeros are at x = -2 and x = 1/3
Explanation:
3x² + 5x - 23x² + 6x - x - 23x(x+2) -1(x+2)(x+2) (3x-1)================
zeros are when f(x) = 0
--------------
x + 2 = 0, 3x - 1 = 0x = -2, x = 1/31/10 Write as a decimal. Then compare 1/10and 0.104. 1/10 =
Answer: 0.1
0.1<0.104
Step-by-step explanation:
What is the length of side s of the square shown below?
Answer:
A
Step-by-step explanation:
Pythagorean theorem
s^2 + s^2 = 2^2
2s^2 = 4
s^2 = 2
s = sqrt 2
what is the answer to this problem
Answer:
OPTION C
Step-by-step explanation:
[tex] \frac{1}{2} (x - \frac{3}{4} ) = \frac{5}{12} [/tex]
[tex](x - \frac{3}{4} ) = \frac{5}{6} [/tex]
[tex]x = \frac{3}{4} + \frac{5}{6} [/tex]
[tex]x = \frac{9 + 10}{12} [/tex]
[tex]x = \frac{19}{12}
\frac{3}{4} y - \frac{3}{2} = \frac{5}{2} [/tex]
[tex] \frac{3}{4} y = 4[/tex]
[tex]y = \frac{16}{3} [/tex]
What translation is shown below?
Will mark brainlyest!
Buster was given this expression and asked to determine whether the answer is greater than or less than 1. (9.763 × 108) (1.56 × 1013) how can buster tell without fully performing the calculations? buster knows the answer is more than 1, because he can add the exponents to see that the solution will have an exponent of 21. buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5. buster knows the answer is more than 1, because 9.763 ÷ 1.56 is more than 1. buster cannot answer the question without a calculator.
The given expression (9.763 × 10^8)/ (1.56 × 10^13) is less than 1.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Buster was given this expression and asked to determine whether the answer is greater than or less than 1.
(9.763 × 10^8)/ (1.56 × 10^13).
The given expression is the numerator (9.763 × 10^8) is less than (1.56 × 10^13) the denominator.
Therefore,
10^8 > 10^13
Hence, the given expression is less than 1.
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Answer:
B
Step-by-step explanation:
Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5.
At a summer camp, a student has to choose an activity from group A and an activity from group B. How many different combinations of activities can he choose from?
Group A
swimming
canoeing
kayaking
snorkeling
Group B
archery
rappelling
crafts
cooking
A:8
B:2
C:4
D:16
Answer:
16
Step-by-step explanation:
each activity is worth 4.
How many ways can a president, vice-president, and secretary be chosen from a club with 9 members?
This type of problem is a permutation problem. Permutation is the arrangement of a set with certain order. In the problem, if there are 9 members, and 3 positions are available without repeating, we can write the expression as 9P3 - 3 non repeating positions in a set of 9 elements. By evaluating, we will have 9! / (9-3)! = 504. The answer is 504.
Determine the seating capacity of an auditorium with 10 rows of seats if there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third row, 27 seats in the fourth row, and so on. Total number of seats =
Answer:
94 capacity
Step-by-step explanation:I did math
Question 1 options:
13.5
12
13
11
Answer: 13
nothing in between 13
Down below
If 15 pies will serve 120 people, how many pies are needed for 152 people?
Answer:
nineteen
Step-by-step explanation:
120 people = 15 pies
divide both sides by 120
1 person = 15/120 pies
152 people = 15/120 x 152 pies
= 15/30 x 38 = 1/2 x 38 = 19
To find the answer, you divide 120 by 15, which is 8.
4
Is this a function?
Is this a function?
Yes
No
Cannot be
determined
A Yes
B) No
Cannot be determined
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.
In the two fair number cubes, there are total 36 outcomes. In this fair,
Total number of outcome of rolling 6 is 5 (1,5),(2,4),(3,3),(4,2)(5,1)Total number of outcome of rolling 10 is 3 (4,6),(5,5),(6,4).Total number of favorable outcome is,
[tex]5+3=8[/tex]
Thus, the probability of getting these 8 outcomes from 36 outcomes is,
[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]
Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
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HELP HURRY PLEaSE THIS IS IMPORTANT!
Answer:
LMJ and KJM
Step-by-step explanation:
alternative interior
this means, they're on opposite sides of the line-break, and are inside the parallel lines.
hope this helps.
Two groups of students took the same test. Their results are indicated in the dot plot below.
Which statement is true?
answers:
A. Based on visual inspection, Group B appears to have less variability in scores than Group A.
B. Because Group A has a lower minimum score than Group B, it has a lower median as well.
C. Because both distributions have a mean score of 80, they are very similar in terms of variability.
D. Based on visual inspection, Group A appears to have a higher average score than Group B.