Total length of a road trip was 18.9 hours. If highway signs are posted every 0.07 hours including one at the end of the Road trip how many highways lines will there be on the Road trip?

Answer:

Using trigonometric identities: A trigonometric identity is a relationship between trigonometric functions that we can use to find an exact value of a trigonmetric function.Using the unit circle: The unit circle is a circle with its center at the origin and a radius of 1 unit. If we place an angle, θ, with its initial side along the positive x-axis, then the point where the angle's terminal side intersects the unit circle is (cos(θ), sin(θ)).Using reference angles: Reference angles are the smallest angle that the terminal side of an angle makes with the x-axis. As it turns out, trigonometric functions of an angle and its reference angle have the same value, except that they may have different signs.

For example, suppose we want to find the exact value of tan(405°). First, we take a look at the angle 405° on a graph with the unit circle:

in this that the reference angle of 405° is 45°. We can use the fact that tangent is positive in the first quadrant and the rule for reference angles to deduce that tan(405°) = tan(45°). Then we can use the well-known fact that tan(45°) = 1 to get that tan(405°) = 1.

Step-by-step explanation:

Answer:

The answer is 47

Step-by-step explanation:

I'm pretty sure this is the answer :)

40 - 28 = 12

35 + 12 = 47

Proof: 35 - 28 = 7

          47 - 40 = 7

Answer: See explanation

Step-by-step explanation:

Monday

The sale price of the items was $41.40

Mrs. Bolden paid $2.48 in sales tax on her purchase.

Altogether, Mrs. Bolden paid $43.88 for the shirts and flip flops.

Tuesday

The price decreased by approximately 8%

3.44 ÷ 3.75 = 0.917

0.917 × 100 = 91.7

91.7 ≈ 92

100 - 92 = 8

8% of 3.75 is 0.3

3.75 - 0.3 = 3.45

3.45 ≈ 3.44

Wednesday

22 ¹/₂ yrs or 22 yrs if that's easier

127.5 ÷ 1500 = 0.085

0.085 × 100 = 8.5

100 - 8.5 = 91.5

4 1/4 = 4.25

91.5 ÷ 4.25 = 21.5294117647

21.5294117647 × 4.25 = 91.5

21.5294117647 ≈ 21 ¹/₂ yrs

Thursday

If she marked up the price by 40%, that means $15 is 60% the original/selling price.

60% of x = 15

0.6x = 15

Divide both sides by 0.6

x = 25

The selling price is $25

If you wanted to confirm, 0.6 × 25 = 15

Friday

3 jeans for $42 each

3 × 42 = 126

3 jeans for $126

5 shirts for $27 each

5 × 27 = 135

5 shirts for $135

126 + 135 = 261

6.5% of 261

0.065 × 261 = 16.965

16.965 to the nearest cent is 16.97

She would have to pay $16.97 for tax.

261 + 16.97 = 277.97

She won't have enough money to buy everything she wants since the total price would be over $275.

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

We have three questions with 2 ratios and are asked if they are proportional or not.

To define proportionality, basically its if the two ratios equal the same value when put in a certain way.

And that way is :

[tex]\frac{x}{y} =\frac{x}{y}[/tex]

You will substitute the numbers with the letters, in which you will cross multiply :

[tex]\frac{x * y}{x*y}[/tex]

So subtitute :

1.

[tex]\frac{1}{3} *\frac{7}{21}[/tex]

[tex]\frac{1*21}{7*3}[/tex]

[tex]21=21[/tex]

Therefore 1. is proportional.

2.

[tex]\frac{3}{4} *\frac{24}{18}[/tex]

[tex]\frac{4*24}{3*18}[/tex]

[tex]\frac{96}{54}[/tex]

96 = 54

Therefore 2. is not proportional.

3.

[tex]\frac{1}{5} *\frac{6}{30}[/tex]

[tex]\frac{1*30}{5*6}[/tex]

[tex]\frac{30}{30}[/tex]

30 = 30

Therefore 3. is proportional.

Answer:

9%

Step-by-step explanation:

Given data

Principal= 400

time= 4 months

r= 12%

SI= 12

SImeple interest

12=PRT/100

susbstitute

12= (400*r*4/12)/100

12SI= 400*r*0.333/100

12=133.2r/100

cross  multiply

1200= 133.2r

r= 1200/133.2

r= 9.009

Hence the rate is 9%

Answer:

p greater than or equal to 36

Answer:

[tex]7^{15}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](7^5)^{3}[/tex] = [tex]7^{5(3)}[/tex] = [tex]7^{15}[/tex]

Answer:

5

Step-by-step explanation:

Since DE is tangent to the circle, that means DE is perpendicular to EF

==> DF = sqrt(4^2+3^2) = 5

Answer:

232 miles had travelled when Houa fell asleep.

Step-by-step explanation:

1. .29 x 800 = 232

If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Houa's family took a road trip to the Grand Canyon.

Houa fell asleep 29% of the way through the trip.

If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.

29% can be converted to decimal by dividing with 100

29/100=0.29

Now multiply 0.29 with 800

0.29×800

232 miles

Hence, 232 miles had they travelled when Houa fell asleep.

To learn more on Percentage click:

https://brainly.com/question/28269290

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Answer:

hi, want to say that Math. way is a good way to solve those kind of problems try that app some time

the answer is 4

Answer:

20%, since 100 is 20% of 500.

Step-by-step explanation:

Answer:

(-5,-8)

(or the last choice)

Answer:

D. (-5, -8)

Step-by-step explanation:

(-5, -3), five down would mean -5 to y.

good luck, i hope this helps :)

Answer:

the mean is 73.3 and the median is 77

Step-by-step explanation:

for mean you add up all the values and find the average for median you line them up in number order and find the number in the middle

Answer:

Step-by-step explanation:

The shape will make a triangular pyramid. <33

(Try imaging the box plot all folded up!)

Answer:

triangle pyramid

Step-by-step explanation:

well when looking at the shape it doest make boxes on the sides, there triangles, so when you connect them all by closing it it turns into triangle pyramid

Answer:

Looks like (0,32)

Step-by-step explanation:

Hard to tell since there is no other data but it appears to be (0,32)

Answer: 41.5692

Hope I helped :)

Answer:

The original price was 520

Step-by-step explanation:

To find this, we first need to note that we paid 75% of the price. This is because we took 25% off from the original. Now we take the price we paid and divide it by the percentage of it which we paid. This will give us the original price.

390/75% = Total

390/.75 = Total

520 = Total

Answer:

Wasssupppp yallll

Answer:

1=5

2=3

3=3

4=2

Step-by-step explanation:

Answer:

its first one

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Use Pythagorean Theorem -> a^2 + b^2 = c^2

a^2 + b^2 = c^2

(12^2) + b^2 = (15^2)

144 + b^2 = 225

225 - 144 = 81

√81 = 9

x = 9

Answer:

y=1/2x-3

Step-by-step explanation:

Answer:

aprox 33%

Step-by-step explanation:

600 is your awnsrerrrrrrrrrrrrr

Answer:

67%

Step-by-step explanation:

difference between the numbers = $8

8 ÷ 12 X 100 = 67%

Answer:

it would be (-7,-6)

x=-7, y=-6

Step-by-step explanation:

Answer:

2. 4

3. 15

4. integer zero

Answer:258

Step-by-step explanation:

I did the same thing and got it right