Answer:
/
Step-by-step explanation:
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
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Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?
Which property justifies drew first step ?
A.commutative property of multiplication
B.associative property of addition
C. subtraction property of equality
D. distributive property of multiplication over addition
It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Probability of students having their own vehicle
= 2/10
= 1/5
If you went to school at 7:55 a.m. what time will it be in 4 hours?
Answer: 11:55 I hope this helps Have a nice day
Step-by-step explanation:
3/4 (x-12) = 12
solve for x
Answer:
28
Step-by-step explanation:
I got this question on a test and got it right
HAVE A GREAT DAY!
The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Using the dimensions indicated on the drawing, what is the total area of the new room?
Answer:
the total are is 459
Step-by-step explanation:
3 3/16 divided by 1/8 = 25 1/2 or 25.5
2 1/4 divided by 1/8 = 18
so 18 x 25.5 = 459
hope this helps
The total area of the new room is 459.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Therefore,
3 3/16 divided by 1/8 = 51/2 or 25.5
2 1/4 divided by 1/8 = 18
Thus we have the area
= 18 x 25.5
Area = 459
The total area of the new room is 459.
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Assume there are 11 voting districts in the county. Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election. If she has an equal chance of 60% to win any one district, what are her chances of winning the election?
Answer:
53.3%
Step-by-step explanation:
Here we will use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.
P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰
P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004
P = 0.533
The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?
Answer:
(0,0) means that he didn't buy any apples so it doesn't cost anything
Step-by-step explanation:
what is the estimate product of 33 and 76
I NEED HELP PLEASE HELP ME
Answer:
Step-by-step explanation:
the rock has changed color due to weathering.
just by looking at it, you cant tell for sure making it an inference.
Answer:
4. the rock has changed colour due to weathering
Step-by-step explanation:
the rock's colour has changed as a result of interference
Joaana saves nickels and quarter in a jar
Answer:
The jar problem
Step-by-step explanation:
Joaana saves nickels and quarter in a jar
She looked to see if she had enough coins to fix her car
She didn't so she went on the side of the street to play her guitar
She played for money by a food bar
She worried she wouldn't make a lot
So she bet illegally on some chickens that fought
She was scared the cops would come and she would get caught
The saw the cops coming and her eyes lit up like a match
She grabbed $500 and she was one they wouldn't catch
It turns out she only needed $10 to fix a tiny scratch
She only had $5 is coins in her jar
Now she has $500 and can fix her car
Hope this helps ya! Keep smiling!
Use benchmark values to estimate 7/10 + 7/8.
Answer:
1.575
Step-by-step explanation:
read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!
which equation represents the problem?
3x -3 =45
3x = 45 + 3
3 + 3x = 45
3 = 45 + 3x
Now Recipes?
x= 13
x= 15
x= 16
x= 14
Answer:
3 + 3x = 45 ; x = 14
Step-by-step explanation:
45 = 3x + 3 ⇒ x = 14
Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer
Answer:
8 wks
Step-by-step explanation:
It's 8 weeks
It's literally 8 weeks
Find the quotient of 60:5
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
60:5 = 60/5. 60/5=12
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction
Answer:
It's the first answer.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2
Answer:
A-F parallel to B-D
B-A parallel to D-F
B-F parallel to C-E
Step-by-step explanation:
Line segment A-F is parallel to B-D
Line segment B-A is parallel to D-F
Line segment B-F is parallel to C-E
I dont know man help please
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes
Answer: 15
Step-by-step explanation: 5/6 times 18 = 15 hours
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40
Answer:
20 X 40 = 800 (split into 2 fourths) = 40
Step-by-step explanation
20 x 40 = 800;
For 2 necklaces she can split 800 into fourths.
800 - 40 = 80. (1 fourth)
80 - 40 = 40 (2 fourths)
40 - 40 = 0 (3 fourths)
She could split 800 into 2 fourths to get a number more than 0 and less then 42.
The best estimate of rounding 42 is 40. Because 40 is closer to 42.
7 1/5 ÷ 8/1 in simplest form?
Answer:
9/10 (Decimal: 0.9)
Step-by-step explanation:
7 1/5 ÷ 8 = 9/10
(Decimal: 0.9)
Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]
However after this I do not see how I can get another value other than 5.
Answer:
[tex]x=5,-5[/tex]
Step-by-step explanation:
[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]
What’s a rationale number ?
Answer:
A Rational Number can be made by dividing two integers.
(An integer is a number with no fractional part.)
Step-by-step explanation:
Answer:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Step-by-step explanation:
Hope this helps. :D
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answer:
Whats a kayak?
Step-by-step explanation:
hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.
Answer:
Okay, so what is the question?
Answer:
Tornado: clouds, strong wind, rain, hail.
Hurricane or cyclone: strong wind, heavy rain.
Blizzard: heavy snow, ice, cold temperatures.
Dust storm: strong winds, arid conditions.
Flood: heavy rainfall.
Hail storm: cold or warm temperatures, rain, ice.
Ice storm: freezing rain.Step-by-step explanation:
Which values, in order, will complete the table
Answer:
A or -1/2, -rad2/2, -rad3/2
Step-by-step explanation:
Right on edge
Answer:
A
Step-by-step explanation:
correct on edge 202222222