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4 years ago

The traffic light is approximately ___ feet tall ?

Mathematics

1 answer:

jolli1 [7]4 years ago

5 0

Answer:

Base at the top should be the same length, thus 20ft.

right triangle thus 90 degrees angle.

180 - 90 - 40 = 50

20ft/sin50 = Height/sin40

Height of the traffic light = 16.78

16.78 + the height of Andrew eyes ( 5ft) = 21.78

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What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Anna71 [15]

Answer: $m=-1.714$

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

$y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6$

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

$m=\frac{-10-14}{8-(-6)}$

Finally, you must evaluate in order to find the slope of this line. You get that this is:

$m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714$

8 0

4 years ago

in geometry. the sum of the lengths of the two legs x and y in a triangle must be greater than the hypotenuse c

meriva

The answer is that the sum of x and y should be less than c

8 0

4 years ago

The mean of three numbers is 70. if two of the numbers are 55 and 65 what is the third number

Margarita [4]

90
55+65=120
there are 3 numbers and when you divide them it makes 70.
70 x 3 = 210
210 - 120 = 90
55 + 65 + 90 = 210
210 / 3 = 70

6 0

3 years ago

Read 2 more answers

Find the sales tax amount. purchase price = $121.65; tax rate = 11%

PolarNik [594]

You know 11% as decimal is 0.11 so you multiply 0.11 and $121.65 which is 13.38 so c is the correct answer rounded to the nearest hundredth

3 0

3 years ago

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=84dx" id="TexFormula1" title="84dx" alt="84dx" align="absmiddle" cla

bogdanovich [222]

Answer:

$\displaystyle \int {84} \, dx = 84x + C$

General Formulas and Concepts:

Calculus

Integration

Integrals
Definite/Indefinite Integrals
Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int {84} \, dx$

Step 2: Integrate

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {84} \, dx = 84\int {} \, dx$
[Integral] Reverse Power Rule: $\displaystyle \int {84} \, dx = 84x + C$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integrations

4 0

3 years ago