Answers
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
Related Questions
which fraction is less 2/10 or 5/8 or neither they are equal
Answers
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35
Answers
By completing squares we will see that the solutions are:
[tex]x =\pm \sqrt{35} + 8[/tex]
How to complete squares?
Here we have the quadratic equation:
[tex]x^2 - 16x + 50 = 21[/tex]
We can rewrite it as:
[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]
Then we must have a 8² term to complete squares, then we need to add and subtract 35.
[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]
Now we can solve this:
[tex]x =\pm \sqrt{35} + 8[/tex]
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ2
Write the sentence as an equation.
m divided by 341 equals 315
Answers
Answer:
m/341=315
Step-by-step explanation:
Answer:
m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.
3√5•3√2 =
A. √10
B. 9√10
Which one?
Answers
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
6 7/16 - (-4.75)=
need help
Answers
Answer:
143 / 16
Step-by-step explanation:
Simplified: 8.9375
Answer:
11.1875, [tex]\frac{179}{16}[/tex], or 11 [tex]\frac{3}{16}[/tex]
Step-by-step explanation:
6 [tex]\frac{7}{16}[/tex] - (-4.75) =
Decimal form - 11.1875
Exact form - [tex]\frac{179}{16}[/tex]
Mixed Number form - 11 [tex]\frac{3}{16}[/tex]
hope this helps :)
HELP!! igzitzgiziztztizu
Answers
Answer:
57 miles in 1 hr
Step-by-step explanation:
171/3 = 57
Change 2/5 to a decimal
Answers
2/5 = 0.4
Simply devide 2 by5 then you'll get the answer as 0.4
Answer:
0.4
Step-by-step explanation:
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answers
Answer:
.
Step-by-step explanation:
Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form
Answers
Answer:
Addy hiked 0.65 miles more than Audrey.
Step-by-step explanation:
In June we have the following distance traveled by Audrey (Au) and Addy (Ad):
[tex] Au_{Jun} = 2.95 miles [/tex]
[tex] Ad_{Jun} = 2.85 miles [/tex]
And, in July we have:
[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]
[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]
Hence in June and July, they traveled:
[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]
[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]
Now, we can find how much farther did Addy hike than Audrey in both June and July:
[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]
Therefore, Addy hiked 0.65 miles more than Audrey.
I hope it helps you!
45 +2.50m = 3.75m
what is the answer
Answers
m = 36
Work
45 + 2.50m = 3.75m
-3.75m -3.75m
45 - 1.25m = 0
- 45 - 45
-1.25m = -45
-1.25 -1.25
m = 36
50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)
Answers
Good luck! (:
2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?
Answers
Answer:
0=17
Step-by-step explanation:
2X - 10=7 +2x
-10 = 7
7 is fasle
i believe the answer is 17
Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]
Answers
If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.
PLEASE SOMEONE HELP ME!!!!!!
Answers
Answer:
It cant
Step-by-step explanation:
car use gas at differnt rates
Cars use gas at different rates
-1/4 multiplied by 1 1/2
Answers
Answer:
[tex]-0.375[/tex]
For more help, take a look at this chart.
A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm or more away from 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by +0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. Which resistor has a resistance closer to 100 ohms?
Answers
Answer:
Resistor A has a resistance closer to 100
Step-by-step explanation:
Here, we want to know which of the two resistors have a resistance closer to 100 ohms
To know the resistance closer to 100, we need to know the absolute value of the resistances
-0.78 has a resistance of 100 - 0.78 = 99.22
The 15 ohms resistor has resistance of 100 + 0.15 = 100.15
Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
Answers
simplify show your work
Answers
4-12x+7x-8
-12x+7x+4-8
-5x-4
The answer is -5x-4
Could you give me the brainlist?
Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region
Answers
Answer: 1380
Step-by-step explanation:
We have been given that population density is the number of people per unit of area.
Therefore, the population of the region would be 1380 people.
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answers
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answers
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answers
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
Answers
Answer:
y - 2 = 4(x - 1)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope:
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 2 = 4(x - 1)
So, the equation in point slope form is y - 2 = 4(x - 1)
Round 3,004 to the nearest whole number HELPPPP
Answers
Answer:
3,000 is your answer.
Step-by-step explanation:
3
When rounding off to the nearest whole number all you do is look at the first decimal and see if it is bigger than 5 which in this case it isn't so, the 3 stays the same and that would be your answer. If it was bigger than 5 then your whole number changes to 4.
The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday , 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?
Answers
Answer:
8 adult cats
Step-by-step explanation:
The ratio of adult cats to kitten at the pet care center was 5:2
No of adult cats= 5x
No of kitten cats= 2x
Since there were 12 kittens that day
2x= 12
x= 12/2
x= 6
Number of adult cats = 5x
= 5 × 6
= 30 adult cats
Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows
= 38-30
= 8 adult cats
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answers
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.
Answers
Answer:
8
Step-by-step explanation:
Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.
Simplify (3x-7)^2
Step by step
Answers
Answer:
9x² - 42x + 49
Step-by-step explanation:
Given
(3x - 7)² = (3x - 7)(3x - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis
9x² - 21x - 21x + 49 ← collect like terms
= 9x² - 42x + 49
QUESTION 5
The expression 50m + 18m in simplest form is
B.
81m
A.
28m
D.
8V2m
C.
812
Answers
Answer:
the anwer is D.8V2m to youre question
Evaluate the expression. [(3–5)(34)]3
Answers
Answer:
-204
Step-by-step explanation:
(3−5)(34)(3)
=−204