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3 years ago

You are traveling by car to New York City. The map you will use for your journey is below.

Mathematics

2 answers:

jekas [21]3 years ago

5 0

Answer:

(I have the picture I just took the test)

Applying a scale to the map makes it look like "1 unit" is about 7.5 on the scale. So the scale factor would look like- 1:7.5

Step-by-step explanation:

Hope this helps!

love history [14]3 years ago

3 0

Answer

pop

Step-by-step explanation:

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Equation with Variables on both sides <br>8 + 4x = -10 + x with explanation please

stellarik [79]

X=-6

You get all the X to one side, and all the numbers to the other. Then divide. Work is shown in image below.

7 0

3 years ago

Special Triangles

Ugo [173]

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent trigonometric ratios and the exact values

cos30° = $\frac{\sqrt{3} }{2}$ and tan30° = $\frac{1}{\sqrt{3} }$ , then

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{m}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

$\sqrt{3}$ × m = 12 ( divide both sides by $\sqrt{3}$ )

m = $\frac{12}{\sqrt{3} }$ ← rationalise by multiplying numerator/ denominator by $\sqrt{3}$ )

m = $\frac{12}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{12\sqrt{3} }{3}$ = 4 $\sqrt{3}$

-------------------------------------------------------------------------------

tan30° = $\frac{opposite}{adjacent}$ = $\frac{n}{6}$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ × n = 6 ( divide both sides by $\sqrt{3}$ )

n = $\frac{6}{\sqrt{3} }$ ← rationalise the denominator

n = $\frac{6}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{6\sqrt{3} }{3}$ = 2 $\sqrt{3}$

-----------------------------------------------------------------------------------

7 0

3 years ago

If a =6, what is the value of 2a(3b + 5c)?

leva [86]

Answer:

Step-by-step explanation:

Put a = 6 to the expression 2a(3b + 5c):

(2)(6)(3b + 5c) = 12(3b + 5c) <em>use the distributive property</em>

= (12)(3b) + (12)(5c) = 36b + 60c

7 0

3 years ago

An airline finds that if it prices a cross-country ticket at $200, it will sell 300 tickets per day. It estimates that each $20

olya-2409 [2.1K]

We can write that as a function:

$f(n)=(200 -20n) * (300 + 50n)\\f(n)=60000+10000n-6000n-1000n^2\\f(n)=-1000n^2+4000n+60000\\$

where $n$ is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.

$p=\frac{-b}{2a}=\frac{-4000}{-2000}=2$

It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.

Answer:

Ticket price: $160

Number of tickets: 400

6 0

3 years ago

an open box with a square base have a volume of 8m^3. the material of the base costs $8 per square meter and the material for th

max2010maxim [7]

(Refer to picture for diagram.)

Area of base $=w^{2}$
Area of one side $=\frac{8}{w^{2}}*w=\frac{8}{w}$

Cost of base material $=8w^{2}$
Cost of material for a side $=6*\frac{8}{w}=\frac{48}{w}$
There are 4 sides so $4*\frac{48}{w}=\frac{192}{w}$

Total cost $C(w)=8w^{2}+\frac{192}{w}$

3 0

3 years ago