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2 years ago

A ladder is leaning against a

Mathematics

1 answer:

vlada-n [284]2 years ago

4 0

Answer:

The angle of elevation is 36.87 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC of the figure

$cos(\theta)=\frac{AC}{BC}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(\theta)=\frac{12}{15}$

$\theta=cos^{-1}(\frac{12}{15})=36.87^o$

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According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales wei

never [62]

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = $3\times10^5\text{ pounds}$

Weight of Narwhal = $2\times10^3\text{ pounds}$

Number of times blue whale's weight is heavier than the narwhal's weight = $=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}$

$=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150$

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

5 0

2 years ago

What is equivalent to 3x-4y=6

Andreyy89

Answer:

y= (3/4) x - (3/2)

Step-by-step explanation:

3x - 4y = 6 (using algebra add the 4y to the other side & subtract the 6 to the other side >> 3x - 6 = 4y (then divide everything by 4 to get y by itself) >> 3/4x - 6/4 = y (then simplify) >> 3/4x - 3/2 = y

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2 years ago

Evaluate this exponential expression.

Levart [38]

Answer:

$(-27)^\dfrac{2}{3}$ = 9

Step-by-step explanation:

Given that,

Asn expression : $(-27)^\dfrac{2}{3}$

We need to evaluate the above expression.

We know that, $(-3)^3=-27$

So,

$(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}$

$=(-3)^2\\\\=-3\times -3\\\\=9$

So, the value of $(-27)^\dfrac{2}{3}$ is 9. Hence, the correct option is (b).

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2 years ago

Simplify please <br> (n^11)^2

Citrus2011 [14]

Answer:

n^22 (I love your profile picture by the way)

Step-by-step explanation:

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3 years ago

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7900 79 times 100 ------------

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3 years ago

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