Answers
The value of cos 60 is 1/2 from the given triangle, Option E is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Let the given triangle is ABC.
AB=1, BC=√3 and AC = 2.
We have to find the value of cos 60 degrees.
We know that cos function is a ratio of adjacent side and hypotenuse.
cos 60 = Opposite side/ Hypotenuse
=AB/AC
Plug in the value of AB and AC.
cos 60 =1/2
Hence, the value of cos 60 is 1/2 from the given triangle, Option E is correct.
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Related Questions
1. If segments MN, NO, and MO are tangent to circle P, find x.
70
x
•Р
2 m
M
N
-10 m
2 m
5 m
6 m
8 m
Answers
Answer:
Step-by-step explanation:
8m
Lisa rectangular living room is 20 feet wide if the length is 6 feet less than twice the width what is the area of a living room
Answers
Answer:
Step-by-step explanation:
20 * ((2*20)-6)
20*34
680
Solve the equation 18 = 3 + 5x for x.
OA) 1
OB) 2
O C) 3
OD 4
Answers
Step-by-step explanation:
18 = 3 + 5x
15=5x
x=15/5
x=3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C) \:x\:=\:3}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]18 = 3 + 5x[/tex]
➺[tex] \: 5x = 18 - 3[/tex]
➺[tex] \: 5x = 15[/tex]
➺[tex] \: x = \frac{15}{5} [/tex]
➺[tex] \: x = 3[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex]18 = 3 + 5x[/tex]
➺[tex] \: 18 = 3 + 5 \times 3[/tex]
➺[tex] \: 18 = 3 + 15[/tex]
➺[tex] \: 18 = 18[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
What is the percent change from 40 to 55? Show calculations and final answer. Round to the nearest percent.
Answers
Answer:
73%
Step-by-step explanation:
40/55 x 100
= 72.72727273
Rounded = 73%
Hope this helps!
Product of [x y] [1 2] is
Answers
Answer:
12xy
Step-by-step explanation:
Product of [x y] [1 2] is
(xy)×(12)=12xy
Find the slope of the line passing through the points (3,16) (8,18)
A) 2/5
B)-5/2
C)5/2
D)-2/5
Answers
Answer:
2/5
Step-by-step explanation:
Slope of line is also called the gradient of line.
The formula of gradient of a straight line is always (y1-y2)/(x1-x2)
f(x) = 2x^2 – 3x - 9
g(x) = 4x^2 – 9
Find (f/g)(x)
Answers
Answer:
i dont get it sorry
Step-by-step explanation:
Ariel receives
$42
for working a full day doing inventory at a hardware store. How much can she get for working
2/7
of a day?
Answers
Step by step
1 day 2/7day
-------- = ----------
$42 $x
Cross multiply:
$x = ($42)*(3/7)
Solve for x.
x= $12
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
Answer:
48
Step-by-step explanation:
x1 = 20 ; y1 = 12
x2 = ? ; y2 = 5
[tex]\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}\\\\\frac{20}{x_{2}}=\frac{5}{12}\\\\20 *12 = x_{2}*5\\\\\frac{20*12}{5}=x_{2}\\\\4*12=x_{2}\\\\x_{2}=48[/tex]
Aryav has 3,974 baseball cards. He wants to put them in collector sheets that hold 32 cards per sheet. How many sheets does Aryav need for his entire collection?
What can they do with the remainder?
Pls try to answer both questions.
Answers
Answer:
he will need 125 college tor sheets
3,974 / 32 =124.1875
I'm not sure about the second part its a little unclear.
Answer:
Step-by-step explanation:
3,974 / 32 = 124 R 6
I think they should give the remainder (6) away to other people or keep it and put it somewhere...
I need help help please help
Answers
middle left my guy lol..
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answers
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
How many lines intersect at point O?
A.2
B.1
C.4
D.3
Answers
Answer:
C. 4 because line o serve as the vertex for each angle there.
The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 receiving-sets at random and inspects them thoroughly. Assuming that 5 of the 50 receiving-sets in the current lot are defective, find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Answers
Answer:
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Step-by-step explanation:
Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Lots of 50 means that [tex]N = 50[/tex]
5 are defective, which means that [tex]k = 5[/tex]
4 are selected, which means that [tex]n = 4[/tex]
Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430[/tex]
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
You must choose the right size wrench to tighten a nut. Each edge of the nut has a length of 1/4 inch. You should choose a wrench size that is close to the distance across the nut from one edge to the opposite edge. Which wrench size should you use, 3/8 inch, 7/16 inch, or 1/2 inch?
Answers
3/8 Wrench should fit a 1/4 nut!
Step-by-step explanation:
The perimeter of a square piece of gold is 28 millimeters. How long is each side?
Answers
Answer:
7 millimeters
Step-by-step explanation:
Perimeter is the distance around an object.
The object is a square so all sides are equal. This means that we can do 28mm / 4 and get our answer of 7 millimeters.
In a given triangle, side "a" is 7 inches long and side "b" is 24 inches long. The length of side "c" is
Answers
Answer:
25
Step-by-step explanation:
the formula for the hypotenuse of a triangle is
a^2+b^2=c^2
plug in what we know
7^2+24^2=c^2
49+576=c^2
625=c^2
c=25
hope this helps
Write the equation of the ellipse 4x^2+9y^2+72x+108y+612=0 in standard form.
Answers
Answer:
(x+9)^2 + (y+6)^2
9 4 =1
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
If taina makes 5 dollars a hour for babysitting, and babysat for 5 hours on monday how much money did she make?
Answers
Answer:
25
Step-by-step explanation:
Take the amount earned per hour and multiply by the number of hours to determine the total amount earned
5 * 5 = 25
Answer:
25 dollars on monday
Step-by-step explanation:
5 dollars an hour times 5 hours
5x5=25
What is the value of x?
Answers
Answer:
i think its 29
Step-by-step explanation:
180-64=116
116/2=58
58/2=29
Answer:What is the value of x?
Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
1. A is a quadrilateral with exactly one
pair of parallel sides.
Answers
On a map of a campground, the distance between the general store and the highway is 5 cm. If 1cm = 500m on a map, what is the actual distance in kilometers between the general store and the highway?
Answers
Answer:2500
Step-by-step explanation:5 x 500 = 2500
NEED HELP END OF THE YEAR TEST
Graham was given the following function table.
What is the output if x=8?
Answers
Answer:
37
Step-by-step explanation:
+ 5 in the y column every row, so 8 would be 37
Answer:
37?
Step-by-step explanation:
2 7
3 12
4 17
5 22
6 27
7 32
8 37
You roll a standard number cube. Find P (number greater than 5)
Answers
Answer:
1/6
Step-by-step explanation:
Graph the slope Y=1/7x+1
Answers
The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.
On a graph, it looks like the graph above.
The numbers 24, 22, 34, 28, 29, 24, 25 29, a and b have a median of 27 and a mode of 29. Given that a
Answers
Answer: Median is 26,5 and modes are 24 and 29
Step-by-step explanation: In increasing order numbers are
22, 24 24, 25 , 28, 29 , 29 , 34. Because amount of number is even
median is (25 + 28) / 2 = 26,5 and modes are 24 and 29 because both
numbers exist twice
ayudaaaaa por favor
Answers
Answer:
La respuesta es treinta coma seis.
Espero que esto ayude.
Lexie started her homework at 4:30 P.M. She finished at 5:05 P.M. How many seconds did it take her to finish her homework?
Answers
Answer:
2100 seconds
Step-by-step explanation:
4:30 P.M. → 5:05 P.M. there are 35 minutes in between.
1 minute = 60 seconds
35 minutes × 60 seconds = 2100 seconds
The random variable X is normally distributed with mean of 80 and variance of 36. The 67th percentile of the distribution is
Answers
Answer:
82.64
Step-by-step explanation:
Mean = 80 ; σ² = 36 ; σ = √36 = 6
Using the relation :
P(Z < x) = (x - mean) / standard deviation
P(Z < x) = 0.67
Z = invNorm(0.67) = 0.44
Hence,
0.44 = (x - 80) / 6
Cross multiply :
6 * 0.44 = x - 80
2.64 = x - 80
2.64 + 80 = x
82.64 = x
Hence, X = 82.64
Grandma Gertrude’s Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 30 pieces. They find a sample mean of 4% with a standard deviation of 2%. What is the margin of error at 90% confidence?
a. 1.49%
b. 1.24%
c. 0.62%
d. 0.75%
e. 1.36%
Answers
Answer:
c. 0.62%
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 30 - 1 = 29
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6991
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
Sample of 30, standard deviation of 2%.
Then
[tex]M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62[/tex]
0.62%, so option c.