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3 years ago

The ratio of two supplementary angles is 4:5. What are the measures of each angle?

Mathematics

1 answer:

mihalych1998 [28]3 years ago

4 0

Answer:

Step-by-step explanation:

12:15

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What is the square root of 9

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The square root of 9 is 3 hope you find this helpful x

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3 years ago

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

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3 years ago

Write a situation that could be modeled by the equation b = 100 - S.

lara [203]

Answer:

Step-by-step explanation:

S for seats taken by girls, what is the formula for the number of boys on the bus

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3 years ago

How would I solve this equation?

Assoli18 [71]

2(7/2)^x = 49/2

Divide both sides by 2:

(7/2)^x = 49/4

I notice that 49/4 can be rewritten as (7/2)^2, so we now have:

(7/2)^x = (7/2)^2

The only way for this to be true is if x = 2. Thus, we are done.

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3 years ago

Which word is an antonym of permit?

Deffense [45]

Answer:

What are the options? ban, forbid, prohibit, are some examples

Step-by-step explanation:

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3 years ago

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