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Related Questions
help #2 #4 #6 #8 #10 #12
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In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.
Answers
Answer:
xx=15.86
Step-by-step explanation:
what is the sum of 1/6 and 5/12
Answers
Answer:
7/12
1/6 to 2/12 add 5/12 to get 7/12
Match the following items.
Determine the functions if θ is a first-quadrant angle, and sin = .
1. cosθ √(15)/5
2. tanθ √(10)/2
3. cscθ √(15)/3
4. secθ √6/3
5. cotθ √6/2
Answers
The functions are illustrations of trigonometry ratios
[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]
The sine of an angle is calculated as follows
[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]
So, we have:
[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]
Take LCM
[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]
[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]
[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]
The tangent of an angle is:
[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]
Using Pythagoras theorem, we have:
[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]
So, we have:
[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]
[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]
[tex]\mathbf{Hypotenuse^2 = 14}[/tex]
Take square roots
[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]
So, the sine of the angle is:
[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]
Rationalize
[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]
[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]
The sine of the angles is:
[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]
So, we have:
[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]
[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]
Rationalize
[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]
[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]
[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]
The sine of an angle is calculated as follows
[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]
So, we have:
[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]
[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]
The sine of the angle does not have a real value
[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]
Start by calculating the tangent of the angle
[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]
So, we have:
[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]
[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]
Rationalize
[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]
[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]
The tangent of an angle is:
[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]
Using Pythagoras theorem, we have:
[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]
So, we have:
[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]
[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]
[tex]\mathbf{Hypotenuse^2 = 15}[/tex]
Take square roots
[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]
So, the sine of the angle is:
[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]
Rationalize
[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]
Rewrite as:
[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]
[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]
Read more about trigonometry ratios at:
https://brainly.com/question/24888715
how do you solve -5=4x-8
Answers
Answer:
3.25=x
Step-by-step explanation:
start with -5=4x+8
subtract 8 from each side to get:
-13=4x
divide each side by 4 to get your answer:
-3.25=x-
Answer:
[tex]x = - 3.25[/tex]
Step-by-step explanation:
-5 = 4x + 8
-5 - 8 = 4x + 8 - 8
-5 + (-8) = 4x
-13/4 = 4x/4
Therefore, x = -3.25
-5 + (-8) = 4x
Same Change Change (SCC) rule for integers was applied here.
Please answer, I will mark BRAINELIST!
Answers
Answer:
answer is c
Step-by-step explanation:
3x (x-3)=0
than 3x=0 or x-3=0
x=0 or x=3
Answer:
HMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
I need help please hurry<343
Answers
Answer:
42 inches
Step-by-step explanation:
1. To convert feet into inches, multiply the # of feet by 12.
[tex]3\frac{1}{2}*12[/tex] [tex]\frac{7}{2} *12[/tex] [tex]\frac{84}{2}[/tex] [tex]42[/tex]Therefore, 3 1/2 feet in inches is 42 inches.
Answer:
42 inches
Step-by-step explanation:
3.5 feet x 12 inches = 42 inches
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
Answers
Answer: 80 minutes
Step-by-step explanation:in the picture
According to the new remuneration scheme, the starting pay of a lecturer a is RM3,087 per month and the annual increment is RM195. Ahmad, who is 25 years old, becomes a lecturer in a university. (a) What will his monthly salary be when he is 45 years old? (b) What will his age be when he gets a monthly payment of RM8,937?
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Step-by-step explanation:
arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.
a1 = 3087 (that's our starting value)
a2 = a1 + 195
a3 = a2 + 195 = a1 + 2×195
an = a1 + (n-1)×195
a)
when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.
so, n = 1+20 = 21
a21 = a1 + 20×195 = 3087 + 20×195 = 6987
so, when he is 45 years old, his monthly salary will be RM6,987
b)
how many years (= how big is n) until he gets 8937 ?
8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =
= 3087 + n×195 - 195 = 2892 + n×195
6045 = n×195
n = 6045/195 = 31
so, a31 = 8937
and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.
that means he will be 25+30 = 55 years old.
y-3=1/6(x-6)
................
Answers
Answer:
answer is y=1x/6 +2. or y= X+ 12/6
Step-by-step explanation:
y-3 = 1/6(x-6)
y-3= 1x/6 -1
y = 1x/6 -1+3
y. = 1x/6 +2. or y= X+ 12/6
7 7/15 Write in decimal to the nearest hundredths 7 7 over 15
Answers
Answer:
.47 because 7/15 is 0.466
Step-by-step explanation:
A store buys 10 shirts at a whole sale price of $5 each. They want to mark up the
price by 50%. How much do they sell each t-shirt for?
$100
$7.50
$55
$5.50
PLS I NEED HELPPP
Answers
Answer:
the answer is 5.50 or the last one
Step-by-step explanation:
hope this helps
Answer:
answer is $7.5
Step-by-step explanation:
1shirt=$5
10 shirt= ?
10*5= $50
$5= 100%
what about 150%
(5*150)÷100= $7.5
1/4 + 23/28 - 1
please help
Answers
Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{23}{28} - 1 = ?[/tex]
First off, let's change everything to a common denominator. This will allow us to add the fractions!
To find a common denominator, we find a number that both 4, 28, and 1 can go into. 28 is the best choice, as 4 goes into it 7 times, 28 goes into it once, and 1 goes into it 28 times.
Let's change the first fraction into a number with a denominator of 28!
[tex]\frac{1}{4} * \frac{7}{7} = \frac{7}{28}[/tex]
[tex]\frac{7}{7}[/tex] = 1. Multiplying a number by one doesn't change its value.
The second fraction, [tex]\frac{23}{28}[/tex], already has a denominator of 28, so we don't have to do anything with it.
Now to the third number, -1:
[tex]-1 = -\frac{1}{1} * \frac{28}{28} = -\frac{28}{28}[/tex]
Now, let's add them all up!
[tex]\frac{7}{28} + \frac{23}{28} - \frac{28}{28} = \frac{7 + 23 - 28}{28} = \frac{2}{28}[/tex]
One last step, to simplify:
[tex]\frac{2}{28} = \frac{1}{14}[/tex]
Your answer is 1/14!Rationalise 10/√7-√2
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[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
Find cos 30 in terms of cos 0
Answers
Answer:
cos(30) = (sqrt(3)/2) * cos(0)
Step-by-step explanation:
cos(0) = 1
cos(30) = sqrt(3)/2
Thus, we can write that:
cos(30) = (sqrt(3)/2) * cos(0)
SHOW WORK. Algebra question. 100 POINTS. Easy
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Answer:
D. -1 < x < 3Step-by-step explanation:
The given function is negative between the x - intercepts -1 and 3.Your choice is correct.Answer:
D. -1 < x < 3
Step-by-step explanation:
The given function is negative between the x - intercepts -1 and 3.
Your choice is correct.
Álgebra ajajajajajajajajaja
Answers
b.) 3√125 = 15√5
c.) 4√256 = 64
d) 2√ -169 = 26
Si tienes alguna pregunta, envíeme un mensaje y lo explicaré :)
Find the missing angle measure
S=
Z=
(Please help I will give you brainliest!)
Answers
Answer:
s=42 , z=34 ,x=55
Step-by-step explanation:
48+90+s=180 [Sum of angles of a triangle]
s=42
z+115+31=180 [Sum of angles of a triangle]
z=34
Number 5,
35+90+unknown angle=180 [Sum of angles of a triangle]
Unknown angle=55
x=Unknown angle [Vertically opposite angles]
x=55
answer the question no link or bot
Answers
Answer:
4^(-14)
Step-by-step explanation:
When multiplying or dividing powers of the same number, you can just add or subtract the powers.
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The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?
Answers
Answer:
18 gallons
Step-by-step explanation:
We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.
2/3 = 4/6
1/2 = 3/6
4/6 - 3/6 = 1/6
1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.
3 * 6 = 18 gallons
Checking my answer:
18 * 2/3 = 6 * 2 = 12
12 - 3 = 9
1/2 of 18 = 9
This means that our answer is correct.
OT
The blueprint for Audrey's new room has a
scale that states every inch is actually equal
to 15 inches. If this blueprint shows the length
of her new room to be 3 inches, what will be
the actual length of her new room?
Answers
Answer:
I really need points
Good luck with your question tho
Margo borrows $1100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay?
Answers
Answer:
I'm guessing you mean 1% annual interest per month, so she would have to pay 11 dollars each month meaning she will pay 66 dollars in interest.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
write an expression in factored form for the polynomial of least possible degree graphed below.
i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!
Answers
Answer:
- 1/64 (x+4)² (x-3) (x-4) = 0
Step-by-step explanation:
f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis
x=0 f(x) = -3
a (4)² * (-3) * (-4) = -3
a = - 1/64
- 1/64 (x+4)² (x-3) (x-4) = 0
marking people brainliest for random LOL comment if you wanna be marked brainliest
Answers
LOL, i really need points.
What is the value of 7x (3 + x/4) when x = −8?
Answers
Answer:
Third option
Step-by-step explanation:
[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]
What is the solution t
x-8 > -3
Answers
Answer:
x>5
Step-by-step explanation:
If you plug in 5, 5-8>-3 that is -3>-3 so you know that x has to be greater than 5.
Help!!!! Jack walked 3 1/3 miles in 4/3 hours. If he walked at a constant rate, how far did he walk in 15 minutes?
Answers
Answer: I think the answer is 0.625 miles.
Step-by-step explanation:in the picture
Use the associative property to simplify the expression 50 + 20 + 37
Answers
Answer:
(50+20) +37=70+37=107
if carl runs 4 laps in 18 minutes, how many laps can he run in 1 1/2 hours
Answers
Answer:
20 laps
Step-by-step explanation:
18 divide by 4 = 4.5
so 1 lap equals 4.5 minutes
and 1 and half hours is 90 minutes so 90 divide by 4.5 = 20 laps
90 minutes is 1 1/2 hours
We setup the equation to solve:
4/18=x/90
Solve for x by isolating and then cross multiply.
2/9=x/90
Cross multiply,
180=9x
Swap sides,
9x=180
Divide both sides by 9
X=20 :)
Pam is baking cupcakes. The recipe calls for 4 cups of sugar, She already put in 3 cups. How many more cups does she need to put in?
(write the equation use "n" as your variable"
Answers
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