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Bas_tet [7]
3 years ago
5

Find x 58 degrees and adjacent 4.0

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0
A special kind of triangle is a right triangle whose definite characteristic is having a 90° angle. It is also special because there are derived trigonometric formulas/identities that can be applied to it. A right triangle has three sides: hypotenuse, adjacent side and opposite side. The hypotenuse is the longest side of the right triangle. You can determine this visually, if not, quantitatively. The other sides are with respect to a given angle.

For the problem, it might have asked for the opposite side or the hypotenuse. We use the cosine function to find the hypotenuse:

cos 58° = adjacent/hypotenuse = 4/hypotenuse
hypotenuse = 7.55 units

Then, we use the tangent function to find the opposite side.

tan 58° = opposite/adjacent = opposite/4
opposite = 6.4 units
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Greater than since 24/4 is 6
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Find the probability that a randomly selected group of five adults will contain all men. Give your answer as a reduced fraction.
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Assuming the probability of selecting one man is 1/2 and independent events,

p = (\frac 1 2)^5 = \frac{1}{32}

Answer: 1/32

7 0
3 years ago
3. Write an equation in slope-intercept form of the line that passes
kirill115 [55]

Answer:

B. y = 2x - 9

Step-by-step explanation:

All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.

You can tell by plugging the point into the equation and seeing if the result is true.

y = 2x - 9

-1 = 2(4) - 9

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3 years ago
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Write each statement as a decimal to two decimal places.
Ad libitum [116K]

Step-by-step explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75

5 0
2 years ago
Find the difference (7a-6b+7) - (8a-2)
olga nikolaevna [1]
Hey there!

Let's set up our expression:

(7a-6b+7)-(8a-2)

In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:

7a-6b+7-8a+2

Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:

(7a-8a) - 6b + (7+2) =

-a - 6b + 9

Hope this helps!
6 0
3 years ago
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