Answer:
a) [tex]\sin 38.582^{\circ} \approx 0.624[/tex], b) [tex]\cot 45.567^{\circ}\approx 0.980[/tex], c) [tex]\sec 39^{\circ} = 1.287[/tex], d) [tex]\tan 12^{\circ} \approx 0.213[/tex], e) [tex]\csc 16.4^{\circ} \approx 3.542[/tex], f) [tex]\sin 34.5^{\circ}\approx 0.566[/tex]
Step-by-step explanation:
Sabemos que un minuto equivale a [tex]\frac{1}{60}[/tex] de un grado sexagesimal, mientras que un segundo equivale a [tex]\frac{1}{3600}[/tex] de un grado sexagesimal, entonces procedemos a convertir cada ángulo a su forma decimal y simplificamos en términos de senos y cosenos mediante identidades trigonométricas:
a) [tex]\sin 38^{\circ}34'56'' = \sin 38.582^{\circ}[/tex]
Por tablas trigonométricas tenemos que [tex]\sin 38^{\circ} \approx 0.616[/tex] y [tex]\sin 39^{\circ} \approx 0.629[/tex], mediante interpolación lineal tenemos que:
[tex]\sin 38.582^{\circ} \approx 0.624[/tex]
b) [tex]\cot 45^{\circ} 34' = \cot 45.567^{\circ}[/tex]
[tex]\cot 45.567^{\circ} = \frac{\cos 45.567^{\circ}}{\sin 45.567^{\circ}}[/tex]
Por tablas trigonométricas tenemos que [tex]\sin 45^{\circ} \approx 0.707[/tex], [tex]\sin 46^{\circ}\approx 0.719[/tex], [tex]\cos 45^{\circ}\approx 0.707[/tex] y [tex]\cos 46^{\circ}\approx 0.695[/tex], mediante interpolación lineal tenemos que:
[tex]\cot 45.567^{\circ}\approx 0.980[/tex]
c) [tex]\sec 39^{\circ} = \frac{1}{\cos 39^{\circ}}[/tex]
Por tablas trigonométricas tenemos que [tex]\cos 39^{\circ}\approx 0.777[/tex], entonces tenemos que:
[tex]\sec 39^{\circ} = 1.287[/tex]
d) [tex]\tan 12^{\circ} = \frac{\sin 12^{\circ}}{\cos 12^{\circ}}[/tex]
Por tablas trigonométricas tenemos que [tex]\sin 12^{\circ} \approx 0.208[/tex] and [tex]\cos 12^{\circ} \approx 0.978[/tex], entonces tenemos que:
[tex]\tan 12^{\circ} \approx 0.213[/tex]
e) [tex]\csc 16^{\circ}24' = \csc 16.4^{\circ}[/tex]
[tex]\csc 16.4^{\circ} = \frac{1}{\sin 16.4^{\circ}}[/tex]
Por tablas trigonométricas tenemos que [tex]\sin 16^{\circ} \approx 0.276[/tex] y [tex]\sin 17^{\circ}\approx 0.292[/tex], mediante interpolación lineal tenemos que:
[tex]\csc 16.4^{\circ} \approx 3.542[/tex]
f) [tex]\sin 34.5^{\circ}[/tex]
Por tablas trigonométricas tenemos que [tex]\sin 34^{\circ} \approx 0.559[/tex] y [tex]\sin 35^{\circ} \approx 0.574[/tex], mediante interpolación lineal tenemos que:
[tex]\sin 34.5^{\circ}\approx 0.566[/tex]
Simplify:
3x + 7y - 2p + 7x - y
Answer:
10x + 6y - 2p
Step-by-step explanation:
Combine Like Terms
First combine the x's
3x + 7y - 2p + 7x - y
10x + 7y - 2p - y
Then the y's
10x + 7y - 2p - y
10x + 6y - 2p
And that's it
Giving brainlist to whoever answers
Answer:
2/8 (could be simplified to 1/4)
Step-by-step explanation:
There are 8 total possibilities, and there are two A's
What is the sum of the series?
∑k=36(−5k+20)
I'm mid test, help please.
Answer:
-10
Step-by-step explanation:
∑
k
=
3
−
5
k
+
20
.
−
10
Hope this helped, and please mark as Brainliest <3
Answer: -10
Step-by-step explanation:
I took the test!
The drama club at Northside High School needs to raise at least $350 to purchase new props and costumes for their upcoming production of Annie. They need to
determine how many boxes of donuts (2) and bags of cookies (Y) to sell. They will earn $3 profit on each box of donuts and $1 profit on each bag of cookies.
Which could not be a way to earn enough money?
seling 25 boxes of donuts and 290 bags of cookies
selling 30 boxes of donuts and 260 bags of cookies
selling 45 boxes of donuts and 220 bags of cookies
selling 60 boxes of donuts and 160 bags of cookies
Answer:60 donut boxes and 160 cookies
Step-by-step explanation:
Multiply the boxes of donuts by $3, multiply the cookies by $1, add those two answers together to see if they equal at least 350
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The option that can not be a way to earn enough money is
Selling 60 boxes of donuts and 160 bags of cookies.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount needed to earn = $350 or more
Profit from a box of donuts = $3
Profit from a box of cookies = $1
Now,
Selling 25 boxes of donuts and 290 bags of cookies.
= 25 x 3 + 290 = 75 + 290 = $365
Selling 30 boxes of donuts and 260 bags of cookies.
= 30 x 3 + 260 = $350
Selling 45 boxes of donuts and 220 bags of cookies.
= 45 x 3 + 220 = 135 + 220 = $355
Selling 60 boxes of donuts and 160 bags of cookies.
= 60 x 3 + 160 = 180 + 160 = $340
Thus,
The option that can not be a way to earn enough money is
Selling 60 boxes of donuts and 160 bags of cookies.
Option D is the correct answer.
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If y = mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?
Answer:
3
Step-by-step explanation:
Given
y = mx ( m is the constant of proportionality )
Given y = 12 when x = 4 , then
12 = 4m ( divide both sides by 4 )
3 = m ← constant of proportionality
Answer:
m = 3
Step-by-step explanation:
Find the constant of proportionality by plugging in x and y into the equation, and solving for m
y = mx
12 = m(4)
Divide each side by 4
3 = m
So, the constant of proportionality is 3
Which expression is equivalent to (o)(0)
0000000)?
0 131
13j
O i+ 13
Answer:
[tex]j^{13}[/tex] is correct. This expression is showing j to the 13 power.
The equivalent expression is [tex]j^{13}[/tex]
Option C is the correct answer.
We have,
The expression:
j (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j)
There are 13 j's so,
This can be written as,
[tex]j^{13}[/tex]
Thus,
The equivalent expression is [tex]j^{13}[/tex]
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Pls help a girl out
Answer:
m[A is 30
m[B is 60
m[B is 90
Write 4.015 105 as an ordinary number
A.40,150
B.41,5001
C.401,500
D.415,000
What is the value of x ?
Answer:
I.8 D.30 H.153 A.20 cm
Step-by-step explanation:
PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.
148
Identify the type of slope of the graph
please help !
Answer:
m=[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Julie has picked 10× 3 silver three red three green and one orange she now has a 12% chance of picking which color
Answer:
None of the colors
Step-by-step explanation:
The given parameters can be represented as:
[tex]Silver = 3[/tex]
[tex]Red = 3[/tex]
[tex]Green = 3[/tex]
[tex]Orange =1[/tex]
[tex]Total = 10[/tex]
Required
Which has a probability of 12%
To do this, we calculate the probability of each color.
This is calculated as:
[tex]P(Color) = \frac{Color}{Total}[/tex]
So, we have:
[tex]P(Silver) = \frac{Silver}{Total}[/tex]
[tex]P(Silver) = \frac{3}{10}[/tex]
Express as percentage
[tex]P(Silver) = 30\%[/tex]
[tex]P(Red) =\frac{Red}{Total}[/tex]
[tex]P(Red) =\frac{3}{10}[/tex]
Express as percentage
[tex]P(Red) =30\%[/tex]
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
Express as percentage
[tex]P(Green) = 30\%[/tex]
[tex]P(Orange) = \frac{1}{10}[/tex]
[tex]P(Orange) = 0.1[/tex]
Express as percentage
[tex]P(Orange) = 10\%[/tex]
So, we have:
[tex]P(Silver) = 30\%[/tex]
[tex]P(Red) =30\%[/tex]
[tex]P(Green) = 30\%[/tex]
[tex]P(Orange) = 10\%[/tex]
From the above calculations, none of the colors have a probability of 12%.
On a scale drawing, a building is 5 1/2 inches tall. If the scale drawing is 1 inch. : 8 inch tall is the building?
Answer:
44 inches
Step-by-step explanation:
Given that :
Scale of drawing = 1 inch : 8 inches
Height of building in drawing = 5 1/2 inches
Using the scale provide for the drawing, the actual height of the building is :
Height of building in drawing * 8 inches
5 1/2 * 8
5.5 * 8 inches
= 44 inches
Plz help! It’s due soon!!!
Will mark brainliest if correct!
Answer:
14)A
15)J
Step-by-step explanation:
What is the slope of the line that contains the points (-1, 2) and (4,3)? O A. - 1/3 O B. 011 O c. 5 O D. -5
Answer:
1/5
Step-by-step explanation:
Answer:
-3/19
Step-by-step explanation:
Given data
We have the coordinates
(-1, 2) and (4,3)
x1=-1
y1=2
x2=4
y2=3
The expression for the slope is given as
Slope= y2-y1/x2-x1
Substiute
Slope= 3-2/4-(-1)
Slope= 1/4+1
Slope= 1/5
Hence the slope is 1/5
Which table contains only values that satisfy the equation y= 0.5x+14?
Answer:
c
Step-by-step explanation:
The values of the variables x and y in table C is satisfying the equation y = 0.5x + 14.
What is a linear equation?The linear equation is defined as the equation having a degree of one or the power of the variable will be one.
The table data is,
x y
0 14
5 16.5
10 19
15 21.5
20 24
The table data is satisfying the equation y = 0.5x + 14.
At ( 0,14)
y = 0.5x + 14.
14 = 0 + 14
14 = 14
At ( 5,16.5)
16.5 = (0.5 x 5) + 14
16.5 = 2.5 + 14
16.5 = 16.5
At (10.19)
19 = (0.5 x 10 ) + 14
19 = 5 + 14
19 = 19
Therefore, the values of the variables x and y in table C is satisfying the equation y = 0.5x + 14.
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A sandwich shop has 60 stores and 50% of the stores are in California. The rest of the stores are in Nevada. Part 1 out of 2 How many stores are in California and how many are in Nevada? There are stores in California and in Nevada. Next
Need it Now!
Answer:
100/50=one over two which is half and half of sixty is thirty so therefore thirty stores are in California and thirty stores are in Nevada too
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years, the
standard deviation is 1.7 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a gorilla living longer than 14.3
years.
Percent ____
Answer:
68%
Step-by-step explanation:
Empirical rule formula
= 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From the above question,
Mean = 16 years
Standard deviation = 1.7 years
Score = 14.3 years
We have to find the number of standard deviation to determine the percentage
Hence,
14.3 = 16 - 1.7x
Collect like terms
1.7x = 16 - 14.3
1.7x = 1.7
x = 1.7/1.7
x = 1
This means the data falls within 1 standard deviation from the mean hence, the probability of the gorilla living longer than 14.3 years is 68%
3 800 millimeters expressed in metres is
Answer:
3.8 meters
Step-by-step explanation:
Answer:
hi sorry i just want points YOSHIII :3
Step-by-step explanation:
Three vertices of a rectangle are shown on the grid.
What are the coordinates of the missing vertex? Enter the answer in the boxes.
PLEASE HELP IM SUPER CONFUSED:(
Answer:
5,8
Step-by-step explanation:
Select the correct answer.
Consider this equation.
Answer:
I say the answer is D
Step-by-step explanation:
I
think
it
is
D
Answer:
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4
plz give me brainly if its right
Step-by-step explanation:
1. If Jeremy found 80% of the collector cards and Tim found 41 of the 45 cards,
who has more collector cards?
Answer:
Tim has more
Step-by-step explanation:
41/45 when you type it into a calculator is 91% and 91%>80%
Ruby is building a pentagon-shaped garden and a hexagon-shaped garden.
.the perimeter of the pentagonal garden is 47 1/2ft
.The perimeter of the hexagonal garden is 61 1/2ft
Witch statement is false about this scenario?
A) the equation to find the length of each side of the pentagonal garden is 6x=47 1/2
B) The length of each side of the pentagonal garden 9 1/2 ft
C) The equation to find the length of each side of the hexagonal garden is 6x=61 1/2
9514 1404 393
Answer:
A
Step-by-step explanation:
If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:
5x = 47 1/2 . . . . . . mismatch with statement A
Statement A is false.
The distance from Kim's house to NYC is 100 miles more than the distance from her house to LA. If the sum of the distances is 3,000 miles, how far is it from Kim's house to New York City?
Please help and show how you solved it!!
Answer:
1550miles
Step-by-step explanation:
assume her house to LA has x miles, therefore her house to NYC is x+100miles
x+x+100=3000
2x=2900
x=1450
x+100=1550miles
No funny business
Rosa jumped 280 times in 7 hours. At that rate, how many times would she jump in 6 minutes?
The triangles shown below must be congruent.
Answer:
A yes it is there the same thing.
Using n = 3.14, find the area of a circle with a radius of 16.
Round your answer to the nearest hundredth.
HELPPP
Answer:
803.84=A
Step-by-step explanation:
The area of a circle can be found by using the equation [tex]\pi r^{2}[/tex]=A.
[tex]\pi r^{2}[/tex]=A
[tex](3.14)(16^{2})[/tex]=A
(3.14)(256)=A
803.84=A and the units are, how ever the radius is measured cubed
Select the number that is a solution to the inequality t > 6.
A 2
B 6
C 5.2
D 6.01
E 0.6
Answer:
D. 6.01
Step-by-step explanation:
6.01 is greater than six.
Answer: D
Step-by-step explanation:
“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.
rachel built a rectangular prism that has a volume of 24 cubic inches. what are five possible length, width, and height dimensions for ther prism?
Answer:
idontknow
Step-by-step explanation:
bro
You just carpeted a 9 x 12 foot room for $480. The carpet is priced by square foot. About how much would you expect to pay for the same carpet in another room that is 21 x 28 feet?
(With explanation)
Answer:
ok so..to find out the amount it cost per square foot you have to multiply 9*12=108 ft
108ft=$480
$480/108=4.44~~~~~it's continuous
so then multiply 21*28=588
588*4.44~~~~=2613.33~~~~its continuous too.
Step-by-step explanation: answer is
=$2613.33 ~~~~its continuous too.