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Alecsey [184]
4 years ago
6

A lake measures 600 ft wide. A lodge is on one shore. From Rob’s point on the opposite shore, the angle of elevation to the top

is 2 degrees. How high above the lake does the lodge stand? The lodge is ____ ft tall.
Mathematics
1 answer:
GalinKa [24]4 years ago
6 0
The lodge is 154.15 feet tall.
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A bakery is filling an order for 180 cupcakes. Jeff has baked and
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Answer:

135 cupcakes

Step-by-step explanation:

7 0
3 years ago
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Please can I have an explanation also, I am terrible at these kinds of questions!
wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

\displaystyle \frac{r}{r+y+b}       \qquad\qquad    [1]

Knowing that:

\displaystyle \frac{r}{y}=\frac{2}{3}      \qquad\qquad    [2]

\displaystyle \frac{y}{b}=\frac{5}{4}

Multiplying the equations above:

\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}

Simplifying:

\displaystyle \frac{r}{b}=\frac{5}{6}       \qquad\qquad    [3]

Dividing [1] by r:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}

Substituting from [2] and [3]:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}

Operating:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}

The fraction of the beads that are red is \mathbf{\frac{10}{37}}

8 0
3 years ago
Which exponential expression represents the numerical expression 9.9.9? O 39 99 0 9x3 O 3x9 1 2 2 3​
Digiron [165]

9³

Step-by-step explanation:

nine to the third power or 9-cubed is the answer b/c multiply the number "9" by itself, three times.

     Therefore, 9*9*9" is equal to: 9³ 

5 0
3 years ago
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4×+12=36 what number goes in the x?
Nataliya [291]
You can work this out by rearranging the equation and isolating the x.

4x + 12 = 36

4x = 36 - 12 (I moved the +12 to the other side, which means it becomes -12)

4x = 24 (36 - 12 = 24)

x = 24 / 4 (You need to isolate the x, and because it was being multiplied by 4, I divided both sides by 4 to leave me with just x)

x = 6 (24 divided by 4 is 6). 
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Mulitply (2-2)(3x+4) using distributive property
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8x.......................
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