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Svet_ta [14]
3 years ago
14

Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch Which t

rigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground? Enter your answer as a single word (either sine, cosine)
I’ll put you as brainliest
Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

Its Sine

Step-by-step explanation:

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H/6-1=-3 solve for H
tekilochka [14]

Add 1 to both sides

h/6 = -3 + 1

Simplify -3 + 1 to -2

h/6 = -2

Multiply both sides by 6

h = -2 * 6

Simplify 2 * 6 to 12

<u>h = -12</u>

5 0
3 years ago
Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total
sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

<em>For Charles City </em>we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

y = C_1 (2^{x-1})

Where:

C_1 is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

Charles\ City\ (km) = 5(2^{x-1})

<em>For Tinsel Town</em> we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

Tinsel\ Town\ (km) = 21 + 5(x-1)

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11

For x = 4

5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4

<em>The value must be between x = 3 and x = 4</em>

For x = 3.8

5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0
3 years ago
The area of one field is 16 acres, and the area of the second field is 1 1/4 times bigger. A barn of wheat on the first field ma
gregori [183]

Answer: 23.89 thousands of pounds  is more wheat that was gathered from the second field than from the first field.

Step-by-step explanation:

Since we have given that

the area of one field = 16 acres

Area of second field is given by

1\frac{1}{4}\times 16\\\\=\frac{5}{4}\times 16\\\\=5\times 4\\\\=20\ acres

A barn of wheat on the first field makes up

3\frac{7}{12}\times 16\\\\=\frac{43}{12}\times 16\\\\=57.33\text{ thousands of pounds.}

A barn of wheat on the second field makes up

1\frac{2}{15}\times 20\\\\=\frac{43}{12}\times \frac{17}{15}\times 20\\\\=81.22\text{ thousands of pounds }

Now,

81.22-57.33=23.89

Hence, 23.89 thousands of pounds  is more wheat that was gathered from the second field than from the first field.

7 0
3 years ago
Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee. His suitcase
Olegator [25]

Given: Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee.

Let x denote the weight of suitcase, then

We know that 1 kg =10 hg

Therefore, 20kg=

⇒

Since, the weight of his suitcase is 220 hg.

The amount of weight will Alanzo have to take out of his suitcase to meet the weight limit will be :-

Hence, 20 hg of weight have to take out of his suitcase to meet the weight limit.

8 0
3 years ago
Add. Enter a number only as your answer in the space provided<br><br><br> Please I really need help
Andreas93 [3]

Answer:0

Step-by-step explanation:

8 0
3 years ago
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