Answer:
She can jump 13.2 inches.
Step-by-step explanation:
In order to compute how high Dagne can jump we must find how much is 27.5% of 48 inches. We can do that by applying a rule of three, where 48 inches is to 100% as x inches is to 27.5%. In this case x will be the height of her jump. So we have:
48 inches -> 100%
x inches -> 27.5%
x = (48*27.5)/100 = 13.2 inches
She can jump 13.2 inches.
Answer:
120 ? what this supposed to be about ? is it to estimate or subtract? does this have mutiple choices? and what gum are their referring too ? the gum you chew or in your teeth?
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
Answer:
1/169
Step-by-step explanation:
In a standard deck of cards, there are 4 kings and 4 queens, and there is a total of 52 cards. Probability is defined by the formula the number of desirable outcomes over the total outcomes. In the first draw, we have 52 total outcomes and 4 desirable (the 4 kings) that equal the fraction 4 / 52 or 1/13. We can do the same to find the probability of picking a queen next with replacement. That would equal 1/13 as well. The two events are independent because you are drawing the cards with replacement. Using the probability of independent events, the product of the probabilities at each stage is the answer: 1/13 * 1/13 = 1/169
One square can be a 3 by 3 square, meaning each side is 3 units.The area for this would be 9.
Another one is the square can be a 9 by 9 square, meaning each side is 9 units. The area for this would be 81.
