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Rama09 [41]
3 years ago
10

Can somebody help with these three questions plz

Mathematics
1 answer:
liraira [26]3 years ago
7 0
\bf \sqrt{2}\left(3\sqrt{2}+\sqrt{18}  \right)~~
\begin{cases}
18=2\cdot 3\cdot 3\\
\qquad 2\cdot 3^2
\end{cases}\implies \sqrt{2}\left(3\sqrt{2}+\sqrt{2\cdot 3^2}  \right)
\\\\\\
\sqrt{2}\left(3\sqrt{2}+3\sqrt{2}  \right)\implies \sqrt{2}\left(6\sqrt{2} \right)\implies 6\left(\sqrt{2}\right)^2\implies 6\cdot 2\implies \stackrel{rational}{12}
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Kim is watching a space shuttle launch from an observation spot 2 miles away. Find the angle of elevation from Kim to the space
hammer [34]

Answer:

<h2><em>46.4°</em></h2>

Step-by-step explanation:

Find the diagrammatic representation in the attachment given.

We can see that the diagram is a right angled triangle. To get the angle of elevation, we will use one of the trigonometry identity SOH, CAH, TOA.

Given the adjacent of the triangle to be 2miles (observation spot from the point of launch)and the opposite (side facing the elevation angle) as 2.1miles (the height), we will use TOA.

tan∅ = opposite/adjacent

tan∅ = 2.1/2

tan∅  = 1.05

∅ = tan⁻¹1.05

∅ = 46.4°

<em>Hence the angle of elevation from Kim to the space shuttle, which is at a height of 2.1 miles is approximately 46.4°</em>

5 0
3 years ago
Algebraic expression and identity 1)simplify the following (3a+b)3 +(3a-b)3
mylen [45]

Answer:

(3a+b)^3+(3a-b)^3=54a^3+18ab^2

Step-by-step explanation:

Given: (3a+b)^3+(3a-b)^3

Formula: x^3+y^3=(x+y)(x^2-xy+y^2)

(x+y)^2=x^2+2xy+y^2

(x-y)^2=x^2-2xy+y^2

x\rightarrow 3a+b

y\rightarrow 3a-b

\Rightarrow (3a+b+3a-b)((3a+b)^2-(3a+b)(3a-b)+(3a-b)^2)

\Rightarrow (6a)(9a^2+b^2+6ab-9a^2+b^2+9a^2+b^2-6ab)

\Rightarrow (6a)(9a^2+3b^2)

\Rightarrow 54a^3+18ab^2

5 0
3 years ago
HURRY PLS i’ll give brainliest please help thanks :)
lianna [129]

Answer:

67°F

Step-by-step explanation:

The mean is another way to say average.

To find the average: you have to add up all of the temperatures, then divide by how many numbers (in this case, time slots) are there.

58°F + 60°F + 61°F + 67°F + 69°F + 73°F + 74°F + 74°F = 536°F

536°F ÷ 8 (total number of time slots) = 67°F

5 0
3 years ago
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
dlinn [17]

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

3 0
3 years ago
Can anyone pls sub to my youttube? Its called Yakobu, It would rlly help. :)
quester [9]

Answer:

did it

Step-by-step explanation:

5 0
3 years ago
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