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3 years ago

If sin x=0.96, find tan x

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

Step-by-step explanation:

sin x= P/H

sin x = 0.96 = 96/100 = 24/25.

Let the ratio of the sides be x.

B²=H²-P²

B²=(25x)²-(24x)²

B²=625x²-576x²

B²=49x²

B=√49x²

B= 7x.

cos x = 7x/25x = 7/25.

therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .

hope this helps you.

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Answer: 64 and 81

Step-by-step explanation: I used my brain. :)

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3 years ago

Read 2 more answers

Please help me with this problem

My name is Ann [436]

Answer:

$6A- 8B = \left[\begin{array}{ccc}56&50&-14\\-126&92&62\\-78&26&2\end{array}\right]$

Option A is correct.

Step-by-step explanation:

$A=\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right] \\B=\left[\begin{array}{ccc}-10&-7&-5\\9&-7&-1\\9&-4&2\end{array}\right]$

We need to find 6A - 8B

Multiply matrix A with 6 and matrix B with 8 and then subtract 6A - 8B

$6A=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right] \\8B=\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right]\\6A - 8B =\left[\begin{array}{ccc}-24-(-80)&-6-(-56)&-54-(-40)\\-54-(72)&36-(-56)&54-(-8)\\-6-(72)&-6-(-32)&18-(16)\end{array}\right] \\6A - 8B =\left[\begin{array}{ccc}-24+80&-6+56&-54+40\\-54-72&36+56&54+8\\-6-72&-6+32&18-16\end{array}\right] \\6A- 8B = \left[\begin{array}{ccc}56&50&-14\\-126&92&62\\-78&26&2\end{array}\right]$

So, $6A- 8B = \left[\begin{array}{ccc}56&50&-14\\-126&92&62\\-78&26&2\end{array}\right]$

Option A is correct.

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3 years ago

Cathy ran 10 meters in 2 seconds. How much time did she take to complete 100 meters?

Fynjy0 [20]

Answer:

If Cathy ran at a constant speed of 10 meters in 2 seconds, it took Cathy 20 seconds to run 100 meters.

Step-by-step explanation:

Hope this helps.

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4 years ago

Find the value of x in the isosceles triangle shown below.

guajiro [1.7K]

Answer:

B) $x = \sqrt{60}$

Step-by-step explanation:

1. As you can see from the image, there are two right triangles in the isosceles triangle. The base of each right triangle is 2 (because 4 ÷ 2 = 2), and the hypotenuse is 8.

2. Let's use Pythagorean Theorem to find the height of each right triangle, which will also give us the height of the isosceles triangle: $a^2 + b^2 = c^2$ , where a = height, b = base, and c= hypotenuse.

$a^2 + 2^2 = 8^2$
$a^2 + (2*2) = (8*8)$
$a^2 + 4 = 64$ (Simplify both sides of the equation)
$a^2 + 4 - 4 = 64 - 4$ (Subtract 4 from both sides)
$a^2 = 60$
$\sqrt{a^2} = \sqrt{60}$ (Take square root of both sides
$a = \sqrt{60}$

3. The√(60) is the height of each right triangle, and it's also the height of the isosceles triangle. Therefore, the answer is B) x = √60.

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3 years ago

The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've

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<h3>How to identify measures of central tendency?</h3>

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Now, the three major measures of central tendency are mean, median and mode.

Mean is the average while mode is the most frequent item while median is the middle term when arranged in ascending order.

However, when discussing their year, what the paper would like to know is their average amount of points per game for the year and as such he will use the mean.

However, the least likely measure of central tendency to be used would be the range.

Read more about Measures of central tendency at; brainly.com/question/17631693

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3 years ago