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3 years ago

15

Carmen went rock climbing at the climbing gym for 1 1/2 hours on Thursday. On Saturday, she went to Castle Rock State Park and c

limbed for 1 1/2 times as long. How much time did she spend rock climbing in all?

1 answer:

ArbitrLikvidat [17]3 years ago

4 0

Answer:

3 3/4 hours

Step-by-step explanation:

1 1/2 + 1 1/2(1 1/2) = 3 3/4 hours

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I cant add mixed fractions with whole numbers

butalik [34]

If you add the whole number to the whole number part of the mixed number, and then add the fraction from the mixed number on to the end of that, you get a new mixed number which is your answer.

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3 years ago

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

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3 years ago

Solve:<br><br> three and two fourths plus five and four elevenths equals blank

kvv77 [185]

1 5/8

Trust me :)

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2 years ago

Maya shaved her head and then began letting her hair grow. She represents the length \ellℓell of her hair, in centimeters, mmm m

Zarrin [17]

Answer:

Maya's hair grows at the rate of 1.25cm per month

Step-by-step explanation:

After Maya shaved her hair,

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Therefore, since the length of hair is recorded on a monthly basis, 1.25 in the equation refers to the rate of growth as measured by the length of hair per month.

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3 years ago

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Lunna [17]

Answer:

b

Step-by-step explanation:

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3 years ago