Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.
Answers
Answer:
x = 50.8°
Step-by-step explanation:
By applying cosine ratio in the given triangle PQN,
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{PN}{PQ}[/tex]
cos(x) = [tex]\frac{12}{19}[/tex]
x = [tex]\text{cos}^{-1}(\frac{12}{19})[/tex]
x = 50.83°
x ≈ 50.8°
Related Questions
Approximately how many people cross Shibuya Crossing each minute? Choose 1 answer: Choose 1 answer: (Choice A) A 1 ⋅ 1 0 2 1⋅10 2 1, dot, 10, squared people per minute (Choice B) B 1 ⋅ 1 0 3 1⋅10 3 1, dot, 10, cubed people per minute (Choice C) C 1 ⋅ 1 0 4 1⋅10 4 1, dot, 10, start superscript, 4, end superscript people per minute
Answers
Answer:
1 * 10^3
I did this here is what I believe you are looking for -_-
Which number line best represents the solution to the inequality -18x+3<48
Answers
Answer:
Step-by-step explanation uuf im stuck on that one sad i can't help
What is the average rate of change from x = 0 to x = 5?
Answers
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
David is buying a cheese wheel priced at $14 before tax. The store charges 8% sales tax.
What is the total price, including tax, David pays for the cheese wheel?
Answers
Answer:
$15.12
Step-by-step explanation:
1. Find the total amount of sales tax. This can be done by multiplying the before tax price by the sales tax percentage.
14 x 8% = 1.12
2. Add the sales tax amount back to the price.
14 + 1.12 = $15.12
I just need the answers to these two questions.Thanks
Answers
Answer:
4. a. y = 2x
b. she will need 12 packs of cashews to 24 cans of peanuts to make the mix.
5. a. YES
b. y = 2.5x
c. $30
d. 24 pounds
e. See attachment
Step-by-step explanation:
4.a. packages of cashews = x
Cans of peanuts = y
The equation that represents the relationship between x and y can be expressed in slope-intercept form as y = mx
Slope = m,
Finding slope (m) using two pairs (1, 2) and (2, 4):
Slope = ∆y/∆x = (4 - 2)/(2 - 1) = ²/1 = 2
m = 2.
To write the equation, substitute m = 2 into y = mx
The equation would be:
y = 2x
b. The ordered pair (12, 24) in the context of the problem means she will need 12 packs of cashews to 24 cans of peanuts to make the mix.
5. a. The cost of candy is proportional to the amount of candy because: 5/2 = 7.5/3 = 12.5/5 = 2.5 = constant of proportionality/unit rate
b. An equation can be written to show the proportional relationship in the form of y = mx.
Where, m = constant of proportionality/unit rate
x = amount of candy
y = cost on dollars
Thus, substitute m = 2.5 into y = mx
The equation would be:
y = 2.5x
c. To find how much it would cost (y) for 12 pounds of candy (x), substitute x = 12 into y = 2.5x to find y.
Thus:
y = 2.5(12) = 30
It would cost $30 for 12 pounds of candy
d. To find the maximum amount of candy (x) you can buy with $60 (y), substitute y = 60 into y = 2.5x
Thus:
60 = 2.5x
Divide both sides by 2.5
60/2.5 = 2.5x/2.5
24 = x
x = 24
Maximum amount of candy you can buy with $60 is 24 pounds of candy.
e. See attachment
PLEASE HELPPPP I WILL MARK YOU AS BRAINLIEST!!!!!!
The expression 12 dollars times t can be used to find the total cost for t tickets to the movie theater. What is the total cost of 5 tickets?
Answers
Answer:
$60
Step-by-step explanation:
$12t = total costt = 5$12*5 = $60Answer:
$60
Step-by-step explanation:
This is the answer because:
1) $12t = total cost
2) t = tickets, 5 = tickets
3) $12 x 5 = $60
Therefore, the answer is $60.
Hope this helps! :D
Arturo can walk 4 miles in 1 hour. How many miles can he walk 3 hours?
Answers
Answer:
12
Step-by-step explanation:
Mrs. Carroll purchases new materials for her math classroom. New workbooks cost $7.00 each, and new dry erase boards cost $5.00 each. She had a budget of $50.00. Write an inequality to represent the situation. Let w represent the number of workbooks and let d represent the number of dry erase boards.
Answers
Answer:
[tex]7w+5d\leq 50[/tex]
Step-by-step explanation
Let w represent the number of workbooks
Let d represent the number of dry erase boards
Then , we can create the inequality for this situation
[tex]7w+5d\leq 50[/tex]
A) Factor the numerator and denominator?
[tex]y x = \frac{ {x}^{2} - 25}{2 {x}^{2} + 13x + 15} [/tex]
Answers
—————
(2x+3)(x+5)
Explanation:
Numerator: a^2 - b^2 = (a+b)(a-b) in this case a = x and b = 5
Denominator: a times c (2 times 15 equals) 30, b is equal to 13... we must find numbers that goes equals both of these, we will use 10 and 3. 10 times 3 equals 30 and 10 plus 3 equals 13. Therefore we get 2x^2 + 10x +3x +15 which goes to 2x(x+5) + 3(x+5) which then goes to (2x+3) + (x+5)
Pls help it’s easy and worth 10 pls.
Answers
Answer:
8,000
Step-by-step explanation:
i think because 100000/12
When Ms. Lawrence goes to the doctor’s office, they have patients wait 30 minutes. She found a new doctor that has 15% less wait time. What is the wait time at the new doctor’s office?
Does anyone know the answer?? Idk how to solve
Answers
Answer:
25.5 minutes
Step-by-step explanation:
HELPP PLZZZ I put a picture
Answers
Answer:
The first one
Step-by-step explanation:
Dont have time to explain sry
If sin Q= 4/5, cos P + cos Q = ____
Answers
We know that ,
[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]
and
[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]
where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)
Similarly ,
[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]
Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.
[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]
[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]
[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]
Now , we have got the length of all the sides of the triangle. So,
[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]
and
[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]
So,
[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]
Can you please tell me asp
Answers
Answer:
i think 8
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Look at the graph, its a pattern. The number of weeks is Times 2 every time, therefore 10 *2 is 20, and the number of players are getting close
What is the percent of change from 100 to 14
Answers
Answer:
there is an 86% change
(1 point) Suppose the chance a player will win a single round of a certain gambling game is (supposedly) 25%, independently of other rounds. You play 100 rounds and win only 18 times. This is less than the expected value. Was it just bad luck
Answers
Answer:
It was simply a case of bad luck.
Step-by-step explanation:
The predictable win outcome from playing a round of a certain gambling game = 25%
If one plays 100 rounds, the predictable wins should be 25 (100 * 25%)
If the actual wins = 18, which is less than the predictable wins of 25, the actual result is less than the expected value or outcome by 7. This is simply a case of bad luck. Bad luck is defined as an unpredictable outcome that is unfortunate. It is when the predicted (expected) outcomes, 25 wins, are more than the unpredicted (actual observed) outcomes, 18 wins.
A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular patio is 25.12 cm. What is the length of the side of the square?
Answers
Answer:
8cm
Step-by-step explanation:
First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square
Area of a semi circle = πr²/2
25.12 = πr²
25.12 = 3.14r²/2
r² = 25.12(2)/3.14
r² = 16
r = √16
r = 4
Get the diameter
d = 2r
d =2(4)
d = 8cm
Hence the length of the side of the square is 8cm
Bill is playing a board game that has a spinner divided into equal sections numbered 1 to 20.
The probability of the spinner landing on an even number or a multiple of 5 is?
Select one:
a. 12/20
b. 3/5
c. 7/15
d. 1/5
Answers
The volleyball team is selling snack bags to raise money for new uniforms. The table shows the percent of the total bags sold for each type of snack bag.
Snack Percent
Cheese Puffs 10
Corn Chips 15
Popcorn 25
Potato Chips 30
Pretzels 20
If they sold 210 bags of pretzels and cheese puffs, how many snack bags did they sell in all?
Answers
210/.30 = x/1
If solved out, you find there are 700 bags total and you can check it by finding that 210 is 30% of 700.
The volleyball team is selling 700 snack bags to raise money.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Sales of pretzels and cheese puffs represent 30% of overall sales, which means that 210 bags were sold.
This ratio could be established,
⇒ 210/30% = x/100%
⇒ x = (210)100%/30%
⇒ x = 70×10
⇒ x = 700
Thus we could evaluate that there are 700 bags in total.
Therefore, the volleyball team is selling 700 snack bags to raise money.
Learn more about the Ratio here:
brainly.com/question/1504221
#SPJ2
jin purchased 7 tacos for 18.55 how much will he pay for 15 tacos
Answers
Answer:
Step-by-step explanation:
if Jin bought:
7 tacos.............................18.55
15 tacos.............................?
for 15 tacos he will pay
(15*18.55)/7=39.75
which of the following explains how triangle BEI could be proven similar to triangle CEH using the AA similarity postulate?
Answers
Answer:
∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.
i got it right on the test
Step-by-step explanation:
Answer:
∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.
Step-by-step explanation:
i took the test!
Explain how to add +20 and -36. GIVING BRAINLIEST TO WHOEVER GIVE THE RIGHT ANSWER!!! :)
Answers
Answer:
-16
Step-by-step explanation:
In this problem, we are adding a negative integer and a positive integer. From this, we already know that the sum will be negative. (- plus + = -)
Since 20 is positive, you can remove the plus sign so your equation looks like
20 - 36
Next, subtract to get -16
~theLocoCoco
Answer:
( -16 ) is the answer .
hope this will help you
In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0:9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0:7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam
Answers
Answer:
P(both students passed the exam) = 0.61948
Step-by-step explanation:
From the given information:
P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)
= P (both are science students) + P(both are art students) + P(one from each group)
where;
P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18
P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213
P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182
P(both students passed the exam) = 0.18 + 0.1213 + 0.3182
P(both students passed the exam) = 0.61948
Please help me and guide me through step by step
Thanks.
Answers
Answer:
so 300000 divided by 3 is what they are paying every ten years
Step-by-step explanation:
In which quadrant does the given point lie on? (2,-4)
Answers
Answer:
1 Answer. The first quadrant, Q1
Step-by-step explanation:
Answer:Bottom right aka 4