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3 years ago

What is x? Round to the nearest tenth

Mathematics

1 answer:

musickatia [10]3 years ago

8 0

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan x = 8/10

taking the inverse tan of each side

x = tan ^-1 (8/10)

x=38.65980825

To the nearest tenth

x = 38.7

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An earthquake measured 8.4 on the Richter Scale. Use the formula R = log I to find the intensity, I, of the earthquake. NO LINK

TEA [102]

Answer:

I ≈ 251188643

Step-by-step explanation:

Given

R = logI [ note log I = $log_{10}$ I ]

Using the rule of logarithms

$log_{10}$ x = n ⇒ x = $10^{n}$

Substitute R = 8.4 into the equation, then

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3 years ago

Caroline has a mask collection of 380 masks. She keeps 45% of the masks on her wall. How many masks does she keep on her wall?

LekaFEV [45]

Answer:

171

Step-by-step explanation:

multiply 380 times 0.45 so like this:

380 x 0.45 = 171

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3 years ago

Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table

zaharov [31]

Step 1 should be
Bring the constant to the other side and divide the whole equation with 6 resulting to
x2 + 4x = -7/6

Step 3 should be
Complete the square by dividing the coefficient of x by 2, squaring it and adding the result to both sides of the equation.
x2 + 4x + 4 = -7/6 + 4

Step 4 should be
Factor the quadratic equation and simplify
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Step should be
Get the square root of booth sides and solve for the values of x
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So,
x = -2 + √(102) / 6 and x = -2 - √(102) /3

9 0

3 years ago

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There are 12 boys and 10 girls in your gym class. If 6 boys joined the class, how many girls would need to join to keep the rati

harina [27]

The original ratio is 6 boys= 5 girls, so if another 6 boys joined, another 5 girls would need to join, too.

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3 years ago

i dont know how to solve this questions without a graphing on a calculator but i can't use calculator for this question pls help

hoa [83]

Answer:

D

Step-by-step explanation:

When the denominator is equal to 0, the function doesn't exist. So factor the bottom, luckily its already partially factored.

(x^2 + 8x + 12) = (x+2)(x+6)

So now the denominator is (x+2)(x+6)(x-3)

The function doesn't exist when x = -2, -6, 3

Now we know there are 3 total discontinuities.

A and B can be eliminated

Since there is an (x+2) on the top and the bottom, they don't affect the shape of the function, but only causes a removable discontinuity when x = -2.

However, (x+6) and (x-3) are only on the bottom, so they DO change the shape, so they are non-removable

The answer therefore is 1 removable and 2 non-removable; D

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3 years ago

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