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klemol [59]
3 years ago
5

D

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0
154 degrees.

Triangles add up to 180 and the known angles are 13 degrees each, or 26 together.
180-26=154, which is the measure of the missing angle.
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scoray [572]

Step-by-step explanation:

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3 years ago
The angle 01 is located in Quadrant III, and cos(01) = -30/13
larisa [96]

Answer:

<h2>sin(01) = -32.70/13</h2>

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

hyp^{2}=opp^{2}+adj^{2}   \\opp^{2}=  hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

01 = cos^{-1}- 30/13

8 0
3 years ago
Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre
alexdok [17]

Answer:

So, exists 5527200 different leadership structures.

Step-by-step explanation:

We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.

Since the order of the people is important to us, we have the following:

50·49·48·47=5527200

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The question requires that we round the given number to Ten-thousand

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One of the principles to use is that

numbers from 0 to 4 are rounded to 0

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In our case, The thousand digit is 0, so we round down to 0, then we add to the Ten-thousand digits and convert each of the numbers before the Ten-thousand digits to 0

Thus, we will have

1,370,000

Hence, the answer is 1,370,000

7 0
1 year ago
A table weighs 1.23 pounds. What is its weight written as a mixed number?
Alexandra [31]
The answer is 1 23/100
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3 years ago
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