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Genrish500 [490]

2 years ago

15

Two trucks, 36 feet apart, are towing a large field mower. If the lengths of the tow ropes are 27 feet and 19 feet, find the ang

le formed by the two tow ropes.

1 answer:

FrozenT [24]2 years ago

6 0

acute or obtuse yes yay

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.

Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is $a_5=\frac{1}{4}$

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

$=\frac{-16}{64}$

$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

$r=-\frac{1}{4}$

Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is $a_n=a_1r^{n-1}$

Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

8 0

2 years ago

What are the ratios for sin A and cos A? The triangle is not drawn to scale.

dalvyx [7]

Answer:

$SinA = \frac{84}{85}$ and $CosA=\frac{13}{85}$

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

$Sin A = \frac{Opposite}{Hypotenuse}$ , and

$CosA = \frac{Adjacent}{Hypotenuse}$

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

$Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}$

$CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}$

The correct answer is the first answer choice.

7 0

2 years ago

Bess [88]

It is A bc (4)=7(1)-3

5 0

3 years ago

If hugo goes out for dinner and pays 2$ of sales tax on a 20$ meal what percentage is the sales tax in his city?

vesna_86 [32]

<h3>Answer: 10%</h3>

Work Shown:

2/20 = 0.10 = 10%

Note that 10% of 20 = 0.10*20 = 2 dollars is the sales tax to help confirm the answer.

8 0

2 years ago

One-Half of a number increased by 6 is less than 34

Vlada [557]

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

Subtract 6 on both sides. ½ x < 28.
Divide ½ on both sides. x < 56.

3 0

2 years ago