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Irina18 [472]
2 years ago
7

A road map of the state of Texas has a scale of 0.5 miles in =50 miles. If the distance between two points in the state is 600 m

iles, what would the equivalent distance be on the state map?
Will mark brainlliest!
Mathematics
1 answer:
tamaranim1 [39]2 years ago
8 0

Answer:

6 miles

Step-by-step explanation:

Let's set up a ratio:

\frac{0.5}{50}=\frac{x}{600}

We can use "cross multiplication" to solve for x

Cross multiplication is multiplying the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.

0.5*600=50x

300=50x

Divide both sides by 50 to isolate x

x=6

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3 years ago
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What value of n makes the equation true? (2x^9y^n)(4x^2y^10)=8x^11y^20
Komok [63]
Hi there! The answer is n = 10.

(2 {x}^{9}  {y}^{n} )(4 {x}^{2}  {y}^{10} ) = 8 {x}^{11}  {y}^{20}

As you see at the powers of x, we need to add the exponents of the power we when multiply them.
{x}^{9}  \times  {x}^{2}  =  {x}^{9 + 2}  = x {}^{11}

The powers of y work the same way.
{y}^{n}  \times  {y}^{10}  =  {y}^{n + 10}  =  {y}^{20}

Hence, n = 10, since
{y}^{10 + 10}  =  {y}^{20}
8 0
3 years ago
A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An
Gnom [1K]
I would solve this using tangents.  Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}
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3 years ago
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3 years ago
17. A warehouse has 5 shelves long enough to hold 8 boxes and high enough to hold 4 boxes. All the shelves are full. How many bo
Sav [38]

Answer:

<h3>Total 20 boxes are there. </h3>

Step-by-step explanation:

Total number of shelves in a warehouse = 5 shelves.

Each shelve either can hold maximum 8  boxes with their lengths or can hold 4 boxes with their heights.

So, in that case only 4 boxes could be hold in each of 5 shelves because only 4 boxes could be fit with their heights.

Therefore, total number of boxes = 5 × 4 = 20 boxes .

<h3>Therefore, total 20 boxes are there. </h3>
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3 years ago
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