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2 years ago

Someone help me pls :(

Mathematics

1 answer:

Alex73 [517]2 years ago

6 0

Answer: (3,3)

Step-by-step explanation:

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Express each number in scientific notation.<br><br> 0.00000186

finlep [7]

Answer:

Step-by-step explanation:

$0.00000186=1.86*10^{-6}$

5 0

2 years ago

Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point

Alex

Answer:

Step-by-step explanation:

Draw a picture.

c and b are Malaya’s distance from the courthouse and bank, respectively.

tan(72°) = c/90

c = 90tan(72°)

tan(35°) = b/54

b = 54tan(35°)

Distance between courthouse and bank = c+b

= 90tan(72°) + 54tan(35°)

= 301.5 ft

3 0

2 years ago

Please help me on this

BabaBlast [244]

Answer:

C. 4 weeks

Step-by-step explanation:

We have the formula

$s = 16 \sqrt{7t} + 62$

We are looking for the value of t (number of weeks) when s = 150.

So, we isolate t (well, almost isolate, because it would be hard to read)

$(\frac{s - 62}{16} )^{2} = 7t$

If we replace s by 150 we get:

$7t = (\frac{150 - 62}{16} )^{2} = (\frac{88}{16} )^{2} = (5.5 )^{2} = 30.25$

We have 7t = 30.25. If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.

4 0

3 years ago

A boat heads north across a river at a rate of 2 miles per hour. If the current is flow A boat heads north across a river at a r

Ivahew [28]

Answer:

$\textrm{Resultant velocity}\ =\ \sqrt{29}\ miles/hour$

along the direction 68.19° from north.

Step-by-step explanation:

Given,

speed of the boat, u= 2 miles/hour along north

speed of the river, v= 5 miles/ hour along east

Since, north and east are perpendicular to each other, so we can write the resultant velocity in vector form as,

$\vec{r}\ =\ 2\hat{i}+5\hat{j}$

Hence, the magnitude of resultant velocity can be written as

$r\ =\ \sqrt{2^2+5^2}$

$=\ \sqrt{4+25}$

$=\ \sqrt{29}$

Hence, the magnitude of resultant vector is \sqrt{29} moles/hour.

And the direction of the boat can be given by,

$tan\theta\ =\ \dfrac{5}{2}$

$=>\ tan\theta\ =\ 2.5$

$=>\ \theta\ =\ tan^{-1}2.5$

= 68.19°

Hence, the resultant velocity of boat is $\sqrt{29}$ miles/hour along the direction making an angle 68.19° with the north.

8 0

2 years ago

In right triangle ABC, B is the right triangle and m C = 30. If AC = 10 what is AB?

nekit [7.7K]

Using the law of sins:

Sin(angle) = Opposite Leg / Hypotenuse

Sin(30) = AB /10

Solve for AB:

AB = 10 * sin(30)

AB = 10 * 1/2

AB = 5

The answer is A.

4 0

3 years ago