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3 years ago

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Mathematics

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Marysya12 [62]3 years ago

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John is saving for his trip to see the alamo he started with $24 in his savings account. every week he earns $15 for babysitting

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24, 31, 38, 45, 52, 59, 66, 73, 80

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3 years ago

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PLZ HELP, GIVING BRAINLIEST!! Which of these choices are equivalent to the expression i^85? a. i^7 b. i^26 c. i^41 d. i^99

SCORPION-xisa [38]

Answer:

I think the answer is a.i^7

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3 years ago

20 points! If a translation maps ∠D onto ∠B, which of the following statements is true?

madam [21]

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The two triangles are similar — that is, the three angles in triangle EDC correspond to those in ABC

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At the office where Mika works 41% of the 19 employees exercise at least three times a week.Estimate the number of people who ex

adelina 88 [10]

8 employees exercise at least three times a week

Solution:

At the office where Mika works 41% of the 19 employees exercise at least three times a week

To find: Number of people who exercise at least three times a week

From given information,

Total employees = 19

Employees exercise at least three times a week = 41 % of total employees

Therefore, we have to evaluate 41 % of 19

Number of people exercise at least three times week = 41 % of 19

$\rightarrow 41 \% \text{ of } 19 = 41 \% \times 19\\\\\rightarrow 41 \% \times 19 = \frac{41}{100} \times 19 = 0.41 \times 19\\\\\rightarrow 41 \% \times 19 = 0.41 \times 19 = 7.79 \approx 8$

Thus approximately 8 employees exercise at least three times a week

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3 years ago

Given that tan^2 theta=3/8,what is the value of sec theta?

algol [13]

Answer:

The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = $\frac{3}{8}$

Or, tanФ = $\sqrt{\frac{3}{8} }$

∵ tanФ = $\frac{Perpendicular}{Base}$

So, $\frac{Perpendicular}{Base}$ = $\sqrt{\frac{3}{8} }$

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( $\sqrt{3}$ )² + ( $\sqrt{8}$ )²

Or, Hypotenuse² = 3 + 8 = 11

Or, Hypotenuse = ( $\sqrt{11}$ )

Now SecФ = $\frac{Hypotenuse}{Base}$

or, SecФ = $\frac{\sqrt{11}}{\sqrt{8}}$ = $\sqrt{\frac{11}{8} }$

Second Method

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 + tan²Ф

or, Sec²Ф = 1 + $\frac{3}{8}$

Or, Sec²Ф = $\frac{11}{8}$

Or, SecФ = $\pm \sqrt{\frac{11}{8}}$

Hence The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ . Answer

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3 years ago

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