Answer:
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )
cos²Θ = 1 - sin²Θ ( take square root of both sides )
cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]
= ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{1}{4} }[/tex]
= ± [tex]\sqrt{\frac{3}{4} }[/tex]
= ± [tex]\frac{\sqrt{3} }{2}[/tex]
since 0° < Θ < 90° , then
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .
From the calculations, we can see that the number of beetles after three years is 11618 beetles.
What is an exponential problem?The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.
In this case we have P = Poe^rt
Po = 10,000
r = 0.05
t = 3
P = 10,000 e^(0.05 * 3)
P= 11618 beetles
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A paint mixes green and white paint in the ratio 13:50. 4 litres of white paint are used. How much green is used? please help me
Answer:
1.04 liters
Step-by-step explanation:
If 50 is 4liters
Then 13 is x
Use this below equation
Value t is for value y then how much for value z
[tex]x = \frac{t}{y} \times z[/tex]
X = 4/50 *13
X = 1.04liters
Or
13/50 = x/4 (cross multiply)
50X = 52
X = 52/50
X = 1.04 liters
Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.
The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.
What is a Hyperbola?
This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.
The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.
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if r=5 and h=3cm what is the volume of the cone (assume pi =3.14
Answer:
should be 78.5
Step-by-step explanation:
the formula for volume of a cone is V = pi^2 x H/3
so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5
Question 5 of 20
(___)^2=(secx-1)(secx+1)
answer here:
does someone mind helping me with this problem? Thank you!
Anyea
Step-by-step explanation:
Answer:
180 inches squared (^2)
Step-by-step explanation:
To find the area of a rectangle, simply multiply the length by the width (15*12)
Don't forget it is squared! Good luck!
Please belpppp don’t understand
Answer:
[tex]3w^2\sqrt[4]{2w^3}[/tex]
Step-by-step explanation:
hope this helps!:)
Using the image above, what is the measure of Angle E? Round to the nearest hundredth
Answer:
the answer is 30°
Step-by-step explanation:
180°-90°-60°
What’s the circumference to this problem?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].
Hope this helps! Let me know if you have any questions
PLEASE HELP ME IVE BEEN SITTING HERE FOR HOURS
Answer:
0-9: 4
10-19: 4
20-29: 1
30-39: 4
40-49: 2
Step-by-step explanation:
Since frequency means how many times it showed up in the list
this all adds up to 15, making it an easy check.
hope this helps:)
Solve for x. 8x-6=10x-8
Answer:
x=1
Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1
2. a science museum has a spherical model of the moon with a diameter of 6.4 ft. what is the volume of the model to the nearest cubic foot? show your work.
The volume of the model to the nearest cubic foot is 137 ft³
Volume of a sphereVolume of a sphere = 4/3πr³
π = 3.14Diameter = 6.4 ftRadius, r = diameter / 2
= 6.4 ft / 2
= 3.2 ft
Volume of a sphere = 4/3πr³
= 4/3 × 3.14 × 3.2³
= 4/3 × 3.14 × 32.768
= 411.56608 / 3
= 137.188693333333
Approximately,
Volume of the sphere = 137 ft³
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At the beginning of every gym class, Mr. Gordon leads the class in a warm-up. In today's warm-up, the class does jumping jacks for 3 minutes. Erin does 54 jumping jacks in that time. Mr. Gordon says the class will do jumping jacks for 4 minutes tomorrow.
If Erin does jumping jacks at the same rate tomorrow, how many will she do?
Answer:
72 jumping jacks
Step-by-step explanation:
54 divided by 3 to get per minute and you would get 18 per minute then add to 54 for when she does for 4 minutes
Answer:
72 jumping jacks
Step-by-step explanation:
Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)
The solution to the system of equations is (-3,4)
How to solve the system of equations?The equations are given as:
5x + 2y = 14
y = x – 7
Substitute y = x – 7 in the first equation
5x + 2(x - 7) = 14
Expand
5x + 2x - 14 = 14
Evaluate the like terms
7x = 28
Divide
x = 4
Substitute x = 4 in y = x – 7
y = 4 – 7
Evaluate
y = -3
Hence, the solution to the system of equations is (-3,4)
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12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =
Add 12 and 5 to get 17.
17 + 32 × 10 − 5Multiply 32 and 10 to get 320.
17 + 320 − 5Add 17 and 320 to get 337.
337−5Subtract 5 from 337 to get 332.
332 ===> Answer
Exercise number 2.(12 + 5) + 32 × (10 − 5)Add 12 and 5 to get 17
17 + 32 (10 − 5)Subtract 5 from 10 to get 5.
17 + 32 × 5Multiply 32 and 5 to get 160.
17+160Add 17 and 160 to get 177.
177 ===> Answer
24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)
Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh
How to Generate Formulas?
From the complete question seen online,
The given parameters are;
The shape of the firm 1's structure = Cylindrical shape
The radius of the firm 1's structure = 35
Height of firm 1 structure = 60
The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base
The formula for the surface area of a cylinder = 2πr² + πrh
If we take away the area of the base, we have;
Surface area of a cylinder excluding the case = 2πr² + πrh - πr² = πr² + πrh
Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh
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The radius of the surface of the water in the tank is increasing at a rate of 0.25m/min. at what rate is the area of the surface changing when the radius is 1.2m?
Answer:
1.88 m^2/min to the nearest hundredth.
Step-by-step explanation:
Area = π r^2
Using Calculus notation:
dA/dr = 2π r
dr/dt = 0.25 (given)
So the rate of change of area
dA/dt = dA/dr * dr/dt
So when r = 1.2
dA/dt = 2 π * 1.2 * 0.25
= 0.6π m^2/min.
= 1.88 m^2/min to the nearest hundredth.
i don't know what it means
Answer:
C. 20
8 cycles for 1 inch, times 2 is 16, + 4 is 20
Complete the function table
Answer:
-3. -5
-2. -4
-1. -3
0. -2
1. -1
formula is f(x)=x-2
Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!
Answer:
P(A|B) =0.25
Step-by-step explanation:
P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25
question 7. HELP ME WITH THIS
Reduce the expression, if possible, by cancelling the common factors.
−3 is your answer!
have a nice day! please mark brainliest :)
.
A is directly proportional to B.
When A = 12, B = 3
Find the value of A when B=5
Answer:
a= 20
Step-by-step explanation:
12/3
a/5
60 = 3a
a = 60/3 = 20
what is the slope of the liner equation y=7x-2
Answer:
Hence, slope of y=7x−2 is 7 and y -intercept is −2.
Step-by-step explanation:
The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.
Comparing the equation y=7x−2 with the standard form of the equation, we get:
m=7,c=−2
Hence, slope of y=7x−2 is 7 and y -intercept is −2
Hope this helps :)
Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft
Answer:
Arc length = 5.93 ft
Perimeter = 13.93 ft
Step-by-step explanation:
85/360*2*π*4 = arc length
5.93411946 ft
Perimeter = 4+4+5.93 = 13.93 ft
Please someone help me answer this! I will return back
Answer:
Negative correlation
Step-by-step explanation:
You can draw a line of best fit the would go downhill from left to right which would be a negative slope. This means it has a negative correlation.
(SHOW THE SOLUTION)
Step-by-step explanation:
so, you did not pay attention to even the simplest of facts in the class ?
the radius is always half of the diameter, or (in other words), the diameter is always twice the radius.
that is really all there is to this.
please tell me you need actual help to divide something by 2 ?
you need me to be your calculator ? posting the questing and then typing the results in from here is more effort than just to use your own calculator.
1. 12.6/2 = 6.3 cm
2. 31.08/2 = 15.54 ft
3. (10 7/11)/2 = (110/11 + 7/11)/2 = 117/11 / 2 =
= 117/22 = 5 7/22 cm
(you noticed something ?)
4. sqrt(54)/2 = sqrt (54/4) = sqrt(27/2) = sqrt(13.5) =
= 3.674234614... m
5. 10.125/2 = (10 1/8)/2 = 5 1/16 = 5.0625 in
(see again under 3.)
HELP ASAP PLSSSSSSSSS
(image is below)
A scatter plot with a line is shown below:
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 6 and 4, 6 and 5, 8 and 6, 9 and 7, 10 and 8, 12 and 9, 13 and 10, 15. A line joins ordered pairs 0, 0.5 and 10, 14.8.
Which statement is most likely correct about the line?
It can be a line of best fit because it is closest to most data points.
It can be a line of best fit because it passes through all the data points.
It cannot be a line of best fit because it does not pass through all the points.
It cannot be a line of best fit because it does not pass through the first and last points.
Answer:
Option 1
Step-by-step explanation:
The statement which is most likely correct about the line is :
It can be a line of best fit because it is closest to most data points.Option 1Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of
sources. For each water source, he has sample with no treatment and a sample treated with the recommended amount of the water softener
salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is
v because the sample is
v . In this instance, an
v study was
performed.
The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.
What is an experimental study?An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.
Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.
In this instance, we can infer and logically deduce that an experimental study was performed.
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Kim asked the first 50 kids to school in the morning how they feel about waking up early. she uses their response to predict the responses for the entire school. was her survey random?
Kim's method of sampling the students in the given scenario is said to; It is not a random survey.
What is a random sample?
Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.
In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.
Now, Kim's method is not random because it is biased as only those who came earliest were asked.
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Help me fast
Can u pls explain the question
AB=AD=8CM
Step-by-step explanation:
I Go To that school