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2 years ago

What is the area of the 3/4foot by 5/6 foot rectangle

Mathematics

1 answer:

marishachu [46]2 years ago

7 0

Answer:

5/8 square feet

Step-by-step explanation:

$\dfrac{3}{4}\cdot \dfrac{5}{6}=\dfrac{3\cdot 5}{4\cdot 6}=\dfrac{15}{24}=\dfrac{5}{8}$ . Hope this helps!

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The lines below are parallel. If the slope of the green line is -3, what is the

siniylev [52]

Answer:

m=-3

Step-by-step explanation:

Since the lines are parallel to each other, their gradients are equal.

∴ gradient of green line = gradient of red line

∴ m = -3

6 0

1 year ago

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humans usually have 20 baby teeth, which are replaced by 32 adult teeth. Raúl said he has lost 6/20 of his baby teeth. write two

erica [24]

6/20 = 3/10 = 12/40

I got 3/20 by dividing 6/20 by 2/2 and 12/40 by multiplying 6/20 by 2/2. You can make fractions <span>equivalent</span> by multiplying the numerator and denominator by the same number

7 0

2 years ago

After paying nine dollars for the pie sally has fifty-six<br> dollars left

NNADVOKAT [17]

If she paid 9 dollars and she has 56 left that means she had 65 bucks to begin with
56+9=65

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2 years ago

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What is the distance between (-6, 4) and (-1, 4)

defon

Answer: The distance between (-6, 4) and (-1, 4) is 5 units.

Step-by-step explanation:

3 0

2 years ago

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Find the value of tan( π + θ) if θ terminates in Quadrant III and sinθ = -5/13

Vladimir79 [104]

ANSWER

$\tan(\pi + \theta)= \frac{5}{12}$

EXPLANATION

We first obtain

$\cos( \theta)$

using the Pythagorean Identity.

$\cos ^{2} ( \theta) + \sin ^{2} ( \theta) = 1$

$\implies \: \cos ^{2} ( \theta) + ( - \frac{5}{13} )^{2} = 1$

$\implies \: \cos ^{2} ( \theta) + \frac{25}{169}= 1$

$\implies \: \cos ^{2} ( \theta) = 1 - \frac{25}{169}$

$\implies \: \cos ^{2} ( \theta) = \frac{144}{169}$

$\implies \: \cos ( \theta) = \pm \: \sqrt{\frac{144}{169} }$

$\implies \: \cos ( \theta) = \pm \: \frac{12}{13}$

In the third quadrant, the cosine ratio is negative.

$\implies \: \cos ( \theta) = - \: \frac{12}{13}$

The tangent function has a period of π and $\pi + \theta$ is in the third quadrant.

This implies that:

$\tan(\pi + \theta)= \tan( \theta)$

$\tan(\pi + \theta)= \frac{ \sin( \theta) }{ \cos( \theta) }$

$\tan(\pi + \theta)= \frac{ - \frac{ 5}{13} }{ - \frac{12}{13} }$

This gives us:

$\tan(\pi + \theta)= \frac{5}{12}$

8 0

3 years ago