Find the exact value of sin (8x) cos (3x) – cos (8x) sin (3x).

Answer:

in simplified version   it would be x ≤-4

Step-by-step explanation:

multiply each term in x ≤-4 by -1

Angelica constructs a regular tetrahedron

The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

"It is a triangle that has all its sides equal in length and all angles are 60° in measure."

"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

"It is a triangular pyramid having congruent equilateral triangles for each of its faces."

[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron

For given question,

Angelica used four congruent equilateral triangles.

She constructs a regular tetrahedron using four congruent equilateral triangles.

The length of each edge of tetrahedron = side length of equilateral triangle

So, each edge of tetrahedron measures 14 inches.

Using the formula of area of the regular tetrahedron,

[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]

Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

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Answer:

72/107

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-1 -71)/(-100-7)

    = -72/-107

    = 72/107

Answer:

Yes, the boys caught the same ratio of catfish to trout.

Step-by-step explanation:

First, find the ratios of catfish to trout for both Darnel and Lester.

Darnel's ratio is 4:8, since he caught 4 catfish and 8 trout.

This can be simplified to 1:2 by dividing each number by 4.

Lester's ratio is 3:6, since he caught 3 catfish and 6 trout.

This can be simplified to 1:2 by dividing each number by 3.

So, both of their ratios are 1:2.

Yes, the boys caught the same ratio of catfish to trout.

Answer:

{-1, 3, 7, 11, 15}

Step-by-step explanation:

f(x) = 2x − 1, {0, 2, 4, 6, 8}

f(0) = 2*0 − 1 = 0 - 1 = -1

f(2) = 2*2 − 1 = 4 - 1 = 3

f(4) = 2*4 − 1 = 8 - 1 = 7

f(6) = 2*6 − 1= 12 - 1 = 11

f(8) = 2*8 − 1= 16 - 1 = 15

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

[tex]V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3[/tex]

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

[tex]m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg[/tex]

Hence, this is the required solution.

Answer:

option 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

There are 10 data points in the graph, so the second one represents all 10 data points whereas the first one only shows the values and not how many of each value there are

Answer:

don't

Step-by-step explanation:

they suck, wait until you're older and they are more mature

guys under the age of 18 tend to be immature and annoying

Answer:

The two times Tyler selects a shirt from the suitcase are independent events

The probability that he selects a short-sleeved shirt both times is 9/16.

Step-by-step explanation:

We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.

To find the probability, we use the multiplication rule:

[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has

[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]

- 2022 Edmentum

The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of short sleeved shirts are 6

Total number of shirts is 8

The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.

The probability that he picks a short sleeved shirt is (6/8)

The probability that he picks a short sleeved shirt both times is

= (6/8) *(6/8)

= (9 /16)

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Answer:

I= $45

Step-by-step explanation:

Giving the following information:

Edna has $900 in a savings account that earns 5% interest per year.

To calculate the interest earned, we need to use the simple interest formula:

I= P*r*t

P= principal= $900

r= interest = 0.05

t= time= 1

I= 900*0.05*1

I= $45

Answer:

40.78 rupees per liter

Step-by-step explanation:

Given data

The average cost of milk in the US today is $3.12 per gallon

1$= 155.00 rupees

1 gallon=3.8 liters

Hence the average cost in pakistani rupees will be

=155/3.8

=40.78 rupees per liter

Answer:

1. 1

2. -3

3. yes

4. no, it is not, because the function stop at point (-6, -2)

5. -2

Answer:

We know that the equation for the speed is:

Speed = Distance/time.

First, we know that he walks 2 miles in 15 minutes.

distance = 2miles

time = 15 minutes

Then his speed in that interval is:

Speed = (2 mi)/(15 min) = (2/15) miles per minute.

Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)

We use again the equation:

Speed = Distance/Time

But we isolate Time, to get:

Time = Distance/Speed

Where:

Distance = 5 miles

Speed = (2/15) miles per min

Time = (5 miles)/((2/15) miles per min) = 37.5 minutes

She needs 37.5 minutes to walk the 5 miles.

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the correct answer is 32

Answer:

5. D

6. B

7. B

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3+3+2+2=10

Answer:

10

Step-by-step explanation:

count the squares!!

AD = 3

BC = 3

AB = 2

DC = 2

3+3+2+2=10

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data to calculate the mean and the median are missing.

To solve this, I will assume the following values:

[tex]13, 18, 13, 14, 13, 16, 14, 21, 13[/tex]

[tex]n = 9[/tex]

The mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]Mean = \frac{13+ 18+ 13+ 14+ 13+ 16+ 14+ 21+ 13}{9}[/tex]

[tex]Mean = \frac{135}{9}[/tex]

[tex]Mean = 15[/tex]

To calculate the median;

Start by sorting the data

[tex]Sorted: 13, 13, 13, 13, 14, 14, 16, 18, 21[/tex]

[tex]n = 9[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{9 + 1}{2}[/tex]

[tex]Median = \frac{10}{2}[/tex]

[tex]Median = 5th[/tex]

The median is the 5th item on the list; i.e. 14

So:

[tex]Median = 14[/tex]

The difference (d) between the mean and the median is:

[tex]d = |Mean - Median|[/tex]

[tex]d = |15 -14|[/tex]

[tex]d = |1|[/tex]

Remove absolute bracket

[tex]d=1[/tex]

The difference in the mean and the median of the assumed dataset is 1

Answer:

i dont know how many balls there are

Answer:C

Step-by-step explanation:

We can see that at 5 am it is at the lowest point.

Answer:

C 5am

Step-by-step explanation:

The temperature starts at midnight which is 35. But if you look at the bottom of the chart there is a 5am, 10am, 15(3pm). At 5am it went down to 30. And then went back up.

Answer:

7.071

Step-by-step explanation:

Hope this helps

Answer:

Substitution

Step-by-step explanation:

For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.

We have:

Point B is the midpoint of segment AC and

Segment AC = 12

Prove: Segment AB = 6

The statement(5):

AB+AB = AC  (here BC is substituted by AC)

So the reason is substitution.

The statement(6):

AB + AB = 12  (here AC is substituted by 12)

So the reason is a substitute.

Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

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Answer:

angle 1=127 degree

angle 3=127 degree

angle 2=53 degree

angle 4=53 degree

angle 5=37 degree

angle 6=90 degree

angle 7=53 degree

angle 8=37 degree

angle 9=37 degree

angle 10=143 degree

angle 11=37 degree

angle 12=143 degree

Step-by-step explanation:

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

Answer:

sad to be honest

Step-by-step explanation:

Answer:

yo lemme stand in that dark door way

there

Step-by-step explanation:

Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

Answer:

(9,-3). is the answer hope u like it

Answer:

The number of brownies in each batch is less than 8.

Step-by-step explanation:

Baked batches of brownies = 2.5

Number of burned brownies = 5

Number of brownies left is less than 15  

So, the total number of brownies is less than 15 + 5 = 20  

Number of brownies in each batch is

n < 20/2.5

n < 8

So, the number of brownies in each batch is less than 8.

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Answer:

i think its b) 7 feet

Step-by-step explanation: