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Korvikt [17]
3 years ago
10

Product rule definition algebra

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0
When multiplying two powers that have the same base, you can add the exponents.
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What value of x makes the equation 3^(x-5)=27^(x+4) true?
SVEN [57.7K]

Answer:

The attached file contains the solution to the question

7 0
2 years ago
A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of f
lawyer [7]

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

3 0
3 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
I need help finding y
denpristay [2]

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

4 0
3 years ago
Garica family bought 9 bags of cookies each bag had 15 cookies they have eaten 27 of the cookies how many cookies do they have l
vova2212 [387]
108 because 9 x 15 is 135 then 135- 27 is 108
3 0
3 years ago
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