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2 years ago

Identify the value of x that makes each pair of ratios equivalent.

Mathematics

1 answer:

VladimirAG [237]2 years ago

3 0

Answer:

Step-by-step explanation:

Start by writing the ratios equal to each other since they are equivalent.

$\frac{21}{x}=\frac{7}{10}$

Notice if you divide 21/3 = 7. Since they are equa then x/3=10. What number divided by 3 equals 10? x=30

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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

2 years ago

Read 2 more answers

Which of the following is the slope of the line passing through the

julia-pushkina [17]

Answer:

I think the slope is UNDEFINED

y²-y¹/x²-x¹

(-5)-(16)/(-12)-(-12)

-21/0

=Undefined

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2 years ago

When it comes to reducing that’s where I start having trouble for example 10/13x1/15= 10/65 but 10/65 not in lowest terms so I h

arlik [135]

Answer:

Step-by-step explanation:

Let's use your example as a starting point. <em>Determine whether the same number will divide each 10 and 65 evenly</em>. In this case, the answer is yes, and the number is 5. 10/5 = 2, and 65/5 = 13. Thus, the fraction in lowest terms is 2/13.

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2 years ago

Find the y value for the point that spilts GH in half if point G is laocated at (-3, 5) and point H is located at (0, -2).

kiruha [24]

Answer:

y value: 1.5

Step-by-step explanation:

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3 years ago

A line has a y-intercept and a slope of 0. What is the line’s equation?

Gnom [1K]

The answer is y= -1

When the slope is 0, we refer to the line as a constant function. In slope intercept form, the line is equal to y = mx + b

"m" is the slope, and "b" is the y-intercept.

Let's replace those in the function.

y = 0*x - 1

0 multiplied by anything is 0

y = 0 - 1

y = -1

6 0

3 years ago