MATHEMATICS HIGH SCHOOL

Help me please it is literal equation

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

s = n(a + 1)

n(a + 1) = s

a + 1 = s/n

a = s/n - 1

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A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and then traveled 100 km at 45 degrees from the vertical. At that point, the rocket was how many kilometers above the height of the launch pad?

Answers

Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.

Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:

sin(angle)= opposite/hypotenuse:

sin(30) = n/40

40sin30=n

n=20km

Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.

We know that the angle opposite x is 45 degrees.

So, we will use sin to solve for x:

sin(angle)= opposite/hypotenuse

sin45= x/100

100sin45=x

x=70.711km

But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:

30km + 20km+ 70.711km = 120.711km

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are____ cards yet to be signed.

Answers

There are 32 cards left

Answer:

Step-by-step explanation:

start with 75 cards. Emily did 2/5 of the 75 cards = 30 cards (75 divided by 5 times 2)

75-30=45 cards

Josh signed 1/9 which you have to convert to irregular fraction (45 divided by 9 =5) so 45-5=40 left

Of those left Tatiana completed 20% (40*.20=8)

so 40-8=32

A number is doubled and then decreased by 13. the result is 61. what is the ordinal number?

Answers

let x be the number
x + x - 13 = 61
2x - 13 = 61
2x = 61 + 13
2x = 74
2x/2 = 74/2
x = 37

i would use the inverse operation.
61 divided by 2 plus 13 equals 43.5

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.w ≥ 0.5l

2l + 2w ≤ 180

Answers

W > 0.5L

Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

The length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.

What are inequalities?

Inequalities refers to a system of two or more quantities in which one quantity is greater than or less than the other.

Based on the data given:

W > 0.5L

Perimeter of the blanket is given as:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

L < 60

Therefore, the length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.

Learn more about inequalities at: brainly.com/question/24372553

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"2.3 U is the set of cities in a country.A is the set of cities that have a zoo.
B is the set of cities that have a symphony.
Describe A ∩ B′ in words."

Answers

A ∩ B is the subset of cities that have both a zoo and a symphony

Final answer:

'A ∩ B′' in a set theory context represents the set of cities that have a zoo and do not have a symphony.

Explanation:

In the field of mathematics, particularly in set theory, the notation A ∩ B′ refers to the intersection of two sets. The 'A' represents the set of cities with a zoo, and 'B' is the set of cities with a symphony. The symbol '∩' stands for intersection and 'B′' stands for the complement of B, or in other words, cities that do not have a symphony.

Therefore, A ∩ B′ represents the set of cities that have a zoo and do not have a symphony. This would be the common elements of these two particular sets - cities with a zoo (set A) and cities without a symphony (complement of set B).

Learn more about Set Theory here:

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The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.The function P = 10,550(1.1)x models the population x years after the year 2000.

For which year would this model most likely be sufficient to make a prediction of the population?

1950

2005

2025

2050

Answers

Generally, this model can work for all years after 2000: this is what the function altready specifies, that it has to be "after the year 2000". so all answers of 2005, 2025 and 2015 are all correct.

However, the model is most predictive in the few years after the year 2000- so the best answer is 2005- because population trends can change later.

The years that this model will most likely be sufficient to make a prediction of the population are 2005, 2025, and 2050.

How to illustrate the population?

From the information, the first column is labeled years after 2000 with the entries.

From the information given, it was stated that the function P = 10,550(1.1)x models the population x years after the year 2000.

This implies that the prediction will be for the years after 2000.

In conclusion, the years that this model will most likely be sufficient to make a prediction of the population are 2005, 2025, and 2050.

Learn more about population on:

brainly.com/question/25896797

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William owns 57.2 acres of land. He plans to donate land so a nature reserve can be built, but still needs 35.2 acres for his farm. If the developer of the nature reserve wants to use 54% of the donated land for a botanical garden, how many acres will be used for the garden?

Can someone help me with this????

Which is a quadratic function having a leading coefficient of 3 and a constant term of –12? f(x) = –12x2 3x 1 f(x) = 3x2 11x – 12 f(x) = 12x2 3x 3 f(x) = 3x – 12.