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Hunter-Best [27]
3 years ago
14

The degree measure of an acute angle in a right triangle is x. If sinx=2/3, determine if each of the following expressions is al

so equal to 2/3
cos(90°−x)

cosx

sin(45°−x)

sin(90°−x)
Mathematics
1 answer:
leonid [27]3 years ago
8 0
<h2> ☞ANSWER☜ </h2>

The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

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George went to the supermarket and he bought bananas for his monkeys. They were $5.99. He got a family discount because his wife
Solnce55 [7]

Answer:

5.74

Step-by-step explanation:

6 0
3 years ago
. Two planes are 1620 miles apart and are traveling toward each other. One plane is traveling 120 mph
Nadusha1986 [10]

Answer:

Step-by-step explanation:

let the speed of one plane=x mph

speed of other plane=x+120 mph

x×1.5+(x+120)×1.5=1620

(x+x+120)×1.5=1620

(2x+120)×1.5=1620

3x+180=1620

3x=1620-180

3x=1440

x=480

speed of one plane=480 mph

speed of second plane=480+120=600 mph

4 0
3 years ago
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels
MatroZZZ [7]

Answer:

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of grabbing a nickel:

19 nickels out of 17+10+19+23 = 69 coins, so:

P(A) = \frac{19}{69}

Probability of grabbing a penny, considering the first coin grabbed was a nickel:

17 pennies out of 68 coins. So

P(B|A) = \frac{17}{68} = \frac{1}{4}

What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?

P(A \cap B) = P(A)P(B|A) = \frac{19}{69} \times \frac{1}{4} = \frac{19}{69*4} = 0.0688

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.

6 0
3 years ago
(09.05)
saw5 [17]

Answer:

a.

Step-by-step explanation:

f(x) has the highest or greatest maximum y value of 3

3 0
3 years ago
Find the CIRCUMFERENCE of a circle with a RADIUS of 13mm. Use 3.14 for the value of pi.
RideAnS [48]

Answer:

Circumference = 81.64

Step-by-step explanation:

The formula for finding circumference is C = pi(d). Since you don't have the diameter, but you do have the radius (which is half of the diameter), you will multiply 13 by 2, or 13 x 2. 13 x 2 = 26. So, the diameter is 26.

Fill in what you know: C = 3.14(26)

Now, all you have to do is multiply 3.14 and 26, which equals 81.64.

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
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