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3 years ago

What is the value of x? If sin (8x - 18)º = cos (5x + 4)°

Mathematics

1 answer:

kobusy [5.1K]3 years ago

3 0

Answer:

Answer x = 8

Step-by-step explanation:

(5x + 4) + (8x - 18)= 90 The two angles must be complementary for this to work. Remove the brackets

5x + 4 + 8x - 18 = 90 Collect like terms

13x - 14 = 90 Add 14 to both sides

13x = 104 Divide by 13

x = 8 Answer

Check

Sin(8*8 - 18) = sin(64 - 18) = sin(46) = 0.7193

Cos(5*8 + 4) = cos(44) = 0.7193

This problem is very interesting. Thanks for posting.

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Julli [10]

$\frac{19}{6}$ many more miles of road are left to build .

Step-by-step explanation:

Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road. We need to find that How many more miles of road are left to build . Let's find out:

On Monday, they build 1/2 mile of road.
On Tuesday, they build 1/3 mile of road.

Let Miles of road left to build is x So,

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3 years ago

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3 years ago

Here are the heights in inches of 10 professional basketball players: 66, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these

Dvinal [7]

Answer:

Question 4: The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.

Question 5: The set has 50 as an outlier and removing it increases the mean by about 3.

Step-by-step explanation:

Question 4:

Given heights are:

66, 74, 76, 77, 78, 79, 80, 80, 82, 84

The mean is: 77.6 inches

Removing 66 will make the mean increase to 78.9

So,

The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.

Question 5:

50, 74, 76, 77, 78, 79, 80, 80, 82, 84

The mean is 76.

We can clearly see that 50 is an outlier as it is quite less than the given data.

Calculating mean after removing 50 will give us mean equal to 78.9

So the correct answer is:

The set has 50 as an outlier and removing it increases the mean by about 3.

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2 years ago

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VLD [36.1K]

Answer:

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Step-by-step explanation:

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