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nlexa [21]
3 years ago
9

Solve for x. (round to the nearest tenth)

Mathematics
2 answers:
lesya692 [45]3 years ago
5 0

Answer:

x ≈ 29.1

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos31° = \frac{adjacent}{hypotenuse} = \frac{x}{34} ( multiply both sides by 34 )

34 × cos31° = x , then

x ≈ 29.1 ( to the nearest tenth )

Snowcat [4.5K]3 years ago
4 0
If a triangle equals 180 that means 34+31=65 then subtract that from 180 so you do 180-65=115 and then that means 115 is your answer
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A submarine was situated 800 feet below sea if it ascends 275 feet what is the new position
Nostrana [21]

Answer:

-525 feet

Step-by-step explanation:

800 feet below is negative 800 feet ---> -800

-800 + 275 = -525

6 0
3 years ago
3. Evaluate the expression. If k = 3 and h = 2. (Be sure to show each step)<br> 4k+2(5k-2)-h
faltersainse [42]

Answer:

36

Step-by-step explanation:

Simple:

(4)(3)+2((5)(3)−2)−2

=12+2((5)(3)−2)−2

=12+2(15−2)−2

=12+(2)(13)−2

=12+26−2

=38−2

=36

5 0
3 years ago
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint
katrin2010 [14]

Answer:

Part A: Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B: \frac{1}{3}

Part C:<em> $8</em>

Step-by-step explanation:

Given that:

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1.

Part A:

The number of cups of blue paint = 3

The number of cups of red paint = 1

In sentence form, it can be written that:

Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B:

3 cups of blue paint requires 1 cup of red paint.

\frac{3}{3}=1 cup of blue paint requires \frac{1}{3} cup of red paint.

Here, unitary method is used.

So, \frac{1}{3} cup of red paint should be added to each cup of blue paint to make shade of purple.

Part C:

6 cups of blue paint are purchased for $48.

1 cup of blue paint is purchased for \frac{\$48}{6} = \$8

5 0
3 years ago
As every Girl Scout knows, statistics teachers seriously love Girl Scout Cookies. The number of boxes of GS cookies statistics t
Alexandra [31]

Answer:

a) 0.75

b) 0.0625

c) 0.1875

d) 0.375

Step-by-step explanation:

Let's start by first finding the probability a teacher orders 6 boxes. Since it is a four sided dice, the probability of getting a 1 is going to be 0.25.

Similarly, for any other number on the dice, the teacher orders 2 boxes. We can think of this as NOT rolling a 1. Using our previous answer, this comes out to be: 1 - 0.25 = 0.75

It should be remembered in the following answers that teachers ordering 6 or 2 boxes are not influenced by the results of other teachers. These are statistically independent events.

a) As given above, this probability is 0.75

b) The probability that both teachers order 6 boxes will be their individual probabilities multiplied. This comes out to be: 0.25 x 0.25 = 0.0625

c) Like in part (b), this is both of their probabilities multiplied:

   0.25 x 0.75 = 0.1875

d) This is nearly the same as part (c), but with a little twist. The order matters. There are two scenarios:

  1.   First teacher gets 6 boxes, and the second gets 2.
  2.   First teacher gets 2 boxes, and the second gets 2.

Both of these events have a probability of 0.1875, as shown in (c). To get the total probability of this event happening, we must add these together:

0.1875 + 0.1875 = 0.375

4 0
3 years ago
The graph shows the function f(x) = |x-h[ + k. What is
Olegator [25]

Answer:

K=-2.5

Step-by-step explanation:

because the line is in the middle of 2 and 3 and is below which means that it is negative

8 0
3 years ago
Read 2 more answers
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