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2 years ago

1/10 of ____ is 10 times as much as 8

1 answer:

8 0

The answer is 800.
To find this, multiply 10 times 8 to find the number you are dividing. (80) now, multiply 80 by 10. (800)
<span>1/10 of 800 is 80, which is ten times as much as 8.</span>

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Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

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7 0

1 year ago

When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the perce

ra1l [238]

Answer:

about 31 percent

Step-by-step explanation:

5 0

2 years ago

Please help me 30 points to whoever can do this geometry work sheet please help me I’m so tired

marissa [1.9K]

This is algebra and too blurry to see. for 12 you have
4/3x-1/2x=-5 so 8x-3x/6=-5 and 5x/6=-5 so x=-6

4 0

3 years ago

Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

posledela

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of $\dfrac{1}{3}$ centered at the origin has a rule:

$(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).$

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

$D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);$
$E\left(\dfrac{3}{3},\dfrac{9}{3}\right)\Rightarrow E(1,3);$
$F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).$

3 0

3 years ago

60.3 60.44 witch one is greater

Sindrei [870]

60.44 is greater than 60.3
-you can see this when you subtract 60.3 from 60.44 this would leave a 0.11 which is a positive number.
-thus meaning 60.44 is larger/greater.

4 0

2 years ago