By Trigonometric formula - Tan(∅) = [tex]\frac{opposite}{adjacent}[/tex] , we got that answer - x= 10.4 yard (On rounding to tenth place)
what are trigonometric equations?An equation containing one or more trigonometric ratios of unknown angles is known as a trigonometric equation. In terms of angles, it is written as ratios of the sine, cosine, tangent, secant, and cotangent angles. A trigonometric equation is, for instance, cos2 x + 5 sin x = 0.
For angle 30 degrees adjacent side is 18 yard and opposite side is x.
=> Tan(∅) = [tex]\frac{opposite}{adjacent}[/tex]
=> Tan(30) = [tex]\frac{x}{18}[/tex]
=> x=Tan 30 (18)
=> x= 10.39
=> x= 10.4 yard (On rounding to tenth place)
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due to road works and a diversion on the m1, Anjam's drive from Sheffield to Watford took a lot longer than planned. He left Sheffield at 10.15am and arrived in Watford 3.55pm in minutes how long did it take anjam?
The minutes when Anjam travel from Sheffield at 10.15am and arrived in Watford 3.55pm in minutes is 320 minutes.
How to calculate the time?It is important to note that the question is simply about the calculation of the time involved. Based on this situation, it should be noted that:
60 minutes = 1 hour.
Given that due to road works and a diversion, Anjam's drive from Sheffield to Watford took a lot longer than planned. He left Sheffield at 10.15am and arrived in Watford 3.55pm in minutes.
The time for the journey will be:
= 3.35pm - 10.15am
= 5.20 hours.
We will change this to minutes:
= (5 × 60) + 20
= 320 minutes
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It takes a word processor 39 minutes to word process and spell check 6 pages. Find how long it takes her to word
process and spell check 28 pages.
I need the answer
Answer:6/39=2/13
Step-by-step explanation:the spell check need 2/13 like 1.5sec to check one words
Which expression is equivalent to secα(1−cos^2α) for all values of α for which secα(1−cos^2α) is defined?
sin^2a
sin atan a
tan a
csc^2a
sec^2a
By means of trigonometric functions and trigonometric formulas, the trigonometric equation sec α · (1 - cos² 2α) is equivalent to 4 · cos α - 4 · cos³ α.
How to simplify a trigonometric equation
In this problem we find the case of a trigonometric equation that must be simplified by definitions of trigonometric functions and trigonometric formulas. First, write the trigonometric equation:
sec α · (1 - cos² 2α)
Second, use the fundamental trigonometric formula:
sec α · sin² 2α
Third, use the definition of secant and the formula for the sine of the double angle:
(1 / cos α) · (2 · sin α · cos α)²
4 · sin² α · cos α
Fourth, use the fundamental trigonometric formula:
4 · (1 - cos² α) · cos α
4 · cos α - 4 · cos³ α
None of the options given are equivalent to the trigonometric equation.
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kay learned that the average snail moves about .013 meters per second . How many centimeters per second does a snail move?
Answer: 1.3 centimeters
Step-by-step explanation:
.013 x 100 = 1.3
A company has 11 male and 8 female employees, and needs to nominate 2 men and 2 women for
the company bowling team. How many different teams can be formed?
There 1540 teams can be formed.
What is combination?A combination is a combination of n things taken k at a time without repetition.
Given that, A company has 11 male and 8 female employees, and needs to nominate 2 men and 2 women for the company bowling team.
The formula for a combination of choosing r unique ways from n possibilities is:
nCr = n!/r!(n - r)!
2 men out of 11 men = 11C2 = 11!/2!(11-2)! = 55
2 women out of 8 men = 8C2 = 8!/2!(8-2)! = 28
Number of teams = 55*28 = 1540
Hence, There 1540 teams can be formed.
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find two integers whose sum 14 is and product is 45
Answer:
3 and 9
Step-by-step explanation:
The factors of 45 are 1, 3, 5, 9, 15, 4.
3x9=45
3+9=14
Simplify 3(2x + 5)
A. 6× + 30
B. 6× + 5
C. 6× + 15
Answer:
C. 6x + 15
Step-by-step explanation:
1. Distribute
3(2x + 5)
6x + 15
(We get this answer by multiplying the number outside the parentheses, which is 3, by the numbers in the parentheses. As in, 3 x 2x = 6x. And 3 x 5 = 15. So, we get 6x + 15).
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Pythagoras theorem
How do i find the n
Answer:
n = 44
Step-by-step explanation:
the 'dashes ' through the 2 legs of the triangle indicate they are congruent.
then n = 44 mm
What is W= x/y-z for x?
Answer:
[tex]x = wy - wz[/tex]
Step-by-step explanation:
this equation looks like this
[tex]w = \frac{x}{y - z}[/tex]
to solve for x you can multiply both sides by y - z
this would cancel out the y - z on the bottom
this would make it
[tex]w(y - z) = x[/tex]
now you must distribute and switch the x to the other side
[tex]wy - wz = x[/tex]
[tex]x = wy - wz[/tex]
Vaughn is making 24 candy bags to sell at the school fundraiser. The bags of candy at the store contain 18 pieces of candy each and sell for $3.20 a bag. Vaugh will repackage this candy to include 15 pieces of candy in each bag. How much profit, not including the money he spent on the candy, will Vaugh make if he charges $3.80 per bag.
The profit that Vaughn would make if he charges $3.80 per bag is $27.20.
What is the profit?The first step is to determine the total pieces of candy that Vaughn plans to sell.
Total pieces of candy = number of pieces in each bag x total number of bags
Total pieces of candy = 24 x 15 = 360
The second step is to determine the total number of bags he has to buy.
Number of bags he is going to buy = total pieces of candy he is going to sell / number of pieces in each bag
Number of bags he is going to buy = 360 / 18 = 20 bags
The third step is to determine the total cost of buying 20 bags
Total cost = number of bags he is going to buy x cost per bag
Total cost = 20 x $3.20
Total cost = $64
The next step is to determine the total revenue from making 24 bags.
Total revenue = price per bag x total number of bags
Total revenue = $3.80 x 24
Total revenue = $91.20
Profit = revenue - cost
$91.20 - $64 = $27.20
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what was the blackbird doing in the school library\?
What are the solutions for the system of equations???
Answer:
(0, 1) and (-3, -2)
Step-by-step explanation:
The solutions are the points of intersection of the two graphs.
We can read the points off the graph.
Answer: (0, 1) and (-3, -2)
Gabriel is 10 years younger than mikhail. The sum of their ages is 88. What is mikhail's age
Answer:
Mikhail is 49 years old.
Step-by-step explanation:
39+49=88
please find the gradient
Answer:
-2
Step-by-step explanation:
use the formula
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
A jar holds 20 cookies, 13 are chocolate-chip cookies, and 7 are brussel-spout-with-turnip-chips cookies. You pick 4 cookies at random. What is the probability that you get exactly 2 of the brussel-spout-with-turnip-chips cookies?
The probability that exactly 2 of the brussel-spout-with-turnip-chips cookies is picked at random is 0.05 approximately to two decimal place.
Probability of an eventTo calculate the probability of an event, we identify an event of the required outcome result and the total number of results or possible outcomes that can occur, and thus divide the number of required outcomes by the total number of possible outcomes.
The total possible outcomes = 20
probability of picking a chocolate-chip cookies = 13/20
probability of picking brussel-spout-with-turnip-chips cookies = 7/20
probability of getting exactly 2 brussel-spout-with-turnip-chips cookies when 4 cookies are picked at random considering the they are not replaced after each pick is calculated as follows;
(13/20) × (13/20) × (7/20) × (7/20)
8281/160000
0.0518.
Hence, from our calculations by simplification the probability of getting exactly 2 brussel-spout-with-turnip-chips cookies when 4 cookies are picked at random is 0.05 approximately to two decimal place.
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What is 375 grams of a 12% solution?
The value of 375 grams of a 12% solution is 45 grams.
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Based on the information given, it should be noted that in order to calculate the value of the grams, we simply need to multiply the value of the percentage that's is given by the number of grams that's given.
In this case, the value of the gram will be:
= Percentage given × Total grams
= 12% × 375 grams
= 0.12 × 375 grams
= 45 grams.
Therefore, the value will simply be 45 grams.
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Answer:
45
Step-by-step explanation:
375*0.12=45
There are 4 jars with 24.44 ounces of sauce in EACH it takes 3.5 ounces of sauce to make a pizza how many WHOLE pizzas can be made?
Answer: 27 pizzas
Step-by-step explanation:
Total ounces available = 4 jars x 24.44 ounces/jar = 97.76 ounces
(97.76 ounces) x (1 pizza/3.5 ounces) = 27.93 pizzas
You can make 27 whole pizzas (the 28th pizza will be short on the sauce)
Classify each number below as an integer or not
Answer:
42 is an integer
92.96 is not an integer
-529.79 is not an integer
-12/4 is an integer
-19/15 is not an integer
76°
59°
What does m/1 =?
Answer:
45º
Step-by-step explanation:
Question
What is the slope of the line on the graph?
-2
Enter your answer in the box.
Answer:
Step-by-step explanation:
Used (0,0) and (-2,4)
(4-0)/(-2-0)= m
m= 4/-2 = -2
75 − 3.5y − 4y = 4y + 6 for y. please show how you got
Answer:
y=6
Step-by-step explanation:
75-3.5y-4y=4y+6
Combine like terms on each side
75-7.5y=4y+6
Add 7.5y to both sides since it is the inverse of subtraction
75-7.5y=4y+6
+7.5y. +7.5y
75=11.5y+6
Isolate y on one side by subtracting 6 from both sides
75=11.5y+6
-6. -6
69=11.5y
Divide both sides by 11.5
69=11.5y
/11.5. /11.5
6=y
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7 ÷ (-9 - -8)³ how do I solve this? What’s the answer
Answer: -7
Step-by-step explanation:
7 ÷ (-9 - -8)³
(-9 - -8)³ = -1
7 ÷ -1 = -7
Answer:
-7
Step-by-step explanation:
We have to solve this according to the B O D M A S theorem.
That is:
B ⇒ Brackets
O ⇒ Of
D ⇒ Division
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
Also, we know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( + )
( + ) × ( - ) = ( - )
Let us solve it now.
7 ÷ ( - 9 - ( - 8 ) )³
7 ÷ ( - 9 + 8 )³
7 ÷ ( - 1 )³
7 ÷ ( - 1 )
- 7
Simplify 5/8x+2/3(−1/2x+24).
Answer:
[tex]\frac{7}{24}[/tex] x + 16
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] x + [tex]\frac{2}{3}[/tex] ( - [tex]\frac{1}{2}[/tex] x + 24) ← distribute parenthesis
= [tex]\frac{5}{8}[/tex] x - [tex]\frac{1}{3}[/tex] x + 16 ( express fractions with common denominator 24 )
= [tex]\frac{15}{24}[/tex] x - [tex]\frac{8}{24}[/tex] x + 16
= [tex]\frac{7}{24}[/tex] x + 16
The human heart circulates from 770,000 to 1,600,000 gallons of blood through a person's body every year. Write a compound inequality to represent the number of gallons of blood that the heart circulates through the body in one day. x
The amount of blood that the human heart circulates every year is represented by the following compound inequality: 770,000 < x < 1,600,000, where x is in gallons of blood.
What is the compound inequality relative to the case?
Herein we must determine the compound inequality, that is, a simultaneous inequality of the form a < x < b, where a and b are the limits of the inequality. According to the statement, the human heart circulates every year at least 770,000 gallons of blood and at most 1,600,000 gallons of blood. Then, the compound inequality that represents the situation is:
770,000 < x < 1,600,000, where x is in gallons of blood.
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what is the 5/6 of 24?
Answer: 20
Step-by-step explanation:
Use 1 as the denominator to convert any number to a fraction:
24/1
The fraction 5/6 and our new fraction, 24/1, are now side by side, and we can multiply those two fractions to find the answer now that we have converted 24 into a fraction.
Multiply the numerators and denominators after converting the entire number to a fraction.
5*24/6*1 = 120/6
In this instance, it is possible to further simplify our new fraction. To do that, we must determine the two numbers' highest common factor.
So. GCF is 6.
We can now divide both the new numerator and the denominator by 6 to simplify this fraction down to its lowest terms.
120/6 = 20.
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Answer:
20
Step-by-step explanation:
what is the 5/6 of 24?
we can solve by multiplying 5/6 by 24
5/6 × 24 =
20
Sam runs at a velocity of 18m/s due east. A strong wind traveling at 8m/s blows on bearing 230° calculate the resultant velocity using Cosine law
Answer is he run with 11m/s.
Find the y-intercept of the line x+y=7.
Answer:
(0,7)
Step-by-step explanation:
Determine which integer in the solution set will make the equation true. 4p + 12 = 16 S: {−1, 1, 3, 4} −1 1 3 4
Answer: The correct integer is 2.
Step-by-step explanation:
4s − 14 = −6
4(2) − 14 = −6
8 - 14 = -6
-6 = -6 .np it was tough but here! brainliest pls ?
larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920. What is the discount rate? Round to the nearest tenth of a percent if needed.
If larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920. Then the discount rate is 30%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
larry and Donna bought a sofa at the sale price of $1,344.
original price of the sofa was $1,920
We need to find the original rate
1920-1344/1920
576/1920
0.3
Now we have to multiply with 100 as it it hundredth part
0.3×100
30
Hence, the discount rate of sofa is 30%.
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Use partial quotients to divide 198➗9 show the work
Answer:
22
Step-by-step explanation: