Answers
Answer:
[tex]\Huge\boxed{x=53}[/tex]
Step-by-step explanation:
Hello There!
Once again we need to use trigonometry to solve for X
Here are the Trigonometric Ratios:
Sin = Opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = Opposite divided by adjacent
We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos
Remember cos = adjacent divided by hypotenuse
Now we create an equation
[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]
now we have
[tex]cos(x)=.6[/tex]
like always we want to get rid of cos
to do so we take the inverse of cos (arccos^-1) and apply that to each side
[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]
finally we round to the nearest degree
we're left with x = 53
Related Questions
Eight times the sum of a number and 9 equals 7.
Answers
Answer:
8(x+9)=7
comment if you need anything else like solving for x
A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long
Answers
Answer:
On the sixth day (10 - 4), the worm was 2.5mm long.
Step-by-step explanation:
Giving the following information:
Future Value= 40mm
Present Value= 2.5mm
Number of periods (n)= ?
Growth rate= 100% per day
First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):
n= ln(FV/PV) / ln(1+i)
n= ln (40 / 2.5) / ln (2)
n= 4
It will take 4 days.
On the sixth day (10 - 4), the worm was 2.5mm long.
(8.64 × 10^6) × (1.334 × 10^10)
Answers
Answer:
8.64x1.334x10^16
11.52576x10^16
what is x? plz help :)
Answers
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represents the time spent driving and why represents the distance from his aunts house which scatterplot could represent the situation
Answers
Answer:
It would take 6 hours.
An equation for that could be: 50x = 300 (X is how long it would take)
So 50 mph• X (time spent) = 300 miles
You didn't give me any scatterplots to look at so I can't help you with that sorry
simplify (2x)^1/3 times (2x)^4/3
Answers
Answer:
2x^5/3
Step-by-step explanation:
Answer:
32x small 5
9 32x small 5 over 9
Step-by-step explanation:
What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?
Answers
Answer: 21ft
Step-by-step explanation:
Answer:
the area of triangle is height ×base
6×7=42
i think this is the answer
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
Answers
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
Answer this question to get marked as brainliest!!!!!
Answers
Answer:
A) 80 degrees
Step-by-step explanation:
100-20=80
PLEASE HELP THIS IS DUE SOON <33
Find the least possible measure of the third side of a triangle with the given side lengths if the missing measure is a whole number. The given side lengths are 7 in and 11 in.
Answers
Answer:
5 inches
Step-by-step explanation:
Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.
The least possible answer would be 5 inches.
The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the two numbers.
Sample question text with
and
Answers
Answer:
one number x= 16
other number y = 4
PLEASE !!! HELP D: lord pls
Answers
Answer:
the answer is 4 have a nice day
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answers
Answer:
Your roots are equal to 16
What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]
Answers
Answer:
[tex]Fracton = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The fraction of yellow
From the attached image:
[tex]Yellow = 5[/tex]
[tex]Total = 30[/tex]
So, the fraction is:
[tex]Fracton = \frac{Yellow}{Total}[/tex]
[tex]Fracton = \frac{5}{30}[/tex]
Divide by 5/5
[tex]Fracton = \frac{1}{6}[/tex]
Answer: 4/5
Step-by-step explanation:
PLEASE HELP FAST !!
3/2+19/3
Answers
Answer:
28/6 yeah thats right wasp
Answer:
Step-by-step explanation:
Write the equation(y=mx) for the line that contains the points (6,6) and (10,14). No picture
Answers
Answer:
y = 2x - 6
Step-by-step explanation:
14-6/10-6 = 8/4 = 2 = slope
6 = 2(6) + b
6 = 12 + b
b = -6
PLEASE HELP!
Hello! I'm having a lot of trouble figuring out these problems. I'm not asking for all of the answers but, just a better understanding. Thank you!
Answers
Answer:
1) 4
2)I think 2
3)4
4)3
5)2
6)1
7)3
Step-by-step explanation:
1) since the x is to squared it is a quadratic equation
3) A and D have same slope=0.5
others were solved using Excel
7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
Answers
You just divide and reduce
What is the equation of the midline of the graph of y=2cos(x/4)−3
Answers
Answer:
y = -3
Step-by-step explanation:
y=2cos(x/4)−3
range of cos α : -1 ≤ cos α ≤ 1
-2 ≤ 2cos(x/4) ≤ 2
-5 ≤ 2cos(x/4)−3 ≤ -1 (-2-3= -5 and 2-3= -1) ....Range ( 2 x Amplitude)
midline: midline of y = -1 and y = -5 y = -3
simplify (2x+1)(x+8) - (x-3)(2x+1)
Answers
Answer:
22x+11 is your answer
Step-by-step explanation:
(2x+1)(x+8) - (x-3)(2x+1)
(2x+1)(x+8-x+3)
(2x+1)(11)
=22x+11
10 minutes to answer
Write an expression equivalent to
4 - (-7)
help
Answers
Help me with this pls
Answers
HELP PLS!!
If the sequence 4, 8, 12, 16 continues, what will be the 7th
term?
Answers
Answer:
28
Step-by-step explanation:
In order to find the seventh term in this arithmetic function, you need to find its function; in order to do this, you must first identify the common difference by finding the difference between two consecutive terms:
16 - 12 = 4; the common difference is 4
Now, you need to find the 0th term, which is the 1st term minus the common difference:
4 - 4 = 0
At this point, you can write out the function (where f(n) = [0th term] + [common difference]n:
f(n) = 4n
Finally, you can plug 7 into this function:
f(n) = 4(7)
f(n) = 28, so the 7th term is 28
Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!
Answers
Answer:
54 - 14 = 30
Step-by-step explanation:
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answers
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
Please help I’m struggling
Answers
m=4
m=18
j=38
n=5
hope this helps!
What decimal is equivalent to 13/20?
Answers
Answer: 0.65
13/20 as a decimal is 0.65.
Which of these statements is true? Sin 18° = cos 72°, sin 55° = cos 55°, sing 72° = cos 18°c both a and c
Answers
Answer:
Sin 18° = cos 72° and sin 72° = cos 18°
Step-by-step explanation:
According to trigonometry identity;
sin Ф = cos(90 - Ф)
for Sin 18° = cos 72
Ф = 18°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 18 = cos(90 - 18)
Sin 18 = cos 72
Hence the statement id true
For sin 72° = cos 18
Ф = 72°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 72 = cos(90 - 72)
Sin 72 = cos 18
Hence this statement too is correct
The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°
Find the missing sides of each triangle. Leave your answers in radical form
Answers
Answer:
youbhave give me more information.
Answer:
incomplete question
please write the whole question or diagram of the question
Use the figure at the right to name the following.
8. a pair of supplementary angles
9. a pair of complementary angles
10. a pair of vertical angles
Answers
Answer:
Supplementary: AKB and BKG
Complementary: FGE and EGD
Vertical: IJH and KJG
Step-by-step explanation:
The correct options are given below,
Supplementary: AKB and BKG
Complementary: FGE and EGD
Vertical: IJH and KJG
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that there are different lines crossing each other at different angles. The value of the different angles can be named as,
A pair of supplementary angles: AKB and BKG
A pair of complementary angles: FGE and EGD
A pair of vertical angles: IJH and KJG
To know more about lines and angles follow
https://brainly.com/question/25770607
#SPJ2