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2 years ago

What is the equation for this angle?

Mathematics

2 answers:

AleksandrR [38]2 years ago

7 0

It is 17.5 degrees!!:)

mina [271]2 years ago

3 0

Answer:

Step-by-step explanation:

115+4n-5=180 degree (being straight line)

110-4n=180

4n=180-110

n=70/4

n=17.5

therefore the value of n is 17.5 degree

substitute the value of n

4n-5

4*17.5-5

70-5

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Sally has $200 in her savings account last month. She added $35 this month and earned $0.75 interest. What is the percent of the

Phoenix [80]

Answer:

The percentage increase in the amount in her savings is 17.9%

Step-by-step explanation:

The formula for percentage increase is given as,

$Percentage\:Increase=\dfrac{New\:Value-Old\:Value}{Old\:Value}$

In previous month, amount of saving in Sally’s account was $200.

In the current month she added $35 and earned an interest of $0.75. So the total earning in current month will be,

Total earning = Amount in previous month + Amount added + Interest earned

Total earning = $ 200 + $ 35 + $ 0.75

Total earning = $235.75

So, current month amount of saving in account is $ 235.75 which becomes new value and previous month balance that is $ 200 becomes old amount.

Therefore, New value = $ 235.75 and Old value = $ 200

Substituting the values in the formula,

$Percentage\:Increase=\dfrac{235.75-200}{200}$

$Percentage\:Increase=\dfrac{35.75}{200}$

$Percentage\:Increase=0.17875$

$Percentage\:Increase=17.875$

Rounding to nearest tenth means one digit after the decimal place. So, percentage increase is 17.9 %

7 0

2 years ago

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Gre4nikov [31]

Answer:

Step-by-step explanation:

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3 years ago

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not u

Solnce55 [7]

Answer:

Step-by-step explanation:

Let's take a look at the given angle 135°

The sketch of the angle which corresponds to $-\dfrac{3\pi}{4}$ unit circle and can be seen in the attached image below;

The trigonometric ratios are as follows for an angle θ on the unit circle:

Trigonometric ratio related ratio on coordinate axes

sin θ $\dfrac{y}{1}$

cos θ $\dfrac{x}{1}$

tan θ $\dfrac{y}{x}$

csc θ $\dfrac{1}{y}$

sec θ $\dfrac{1}{x}$

cot θ $\dfrac{x}{y}$

From the sketch of the image attached below;

The six trigonometric ratio for 135° can be expressed as follows:

$sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}$

$sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}$

$cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}$

$cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}$

$tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}$

$tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}$

$tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}$

$tan (-\dfrac{3\pi}{4})= 1$

$csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}$

$sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\ sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}} \\ \\ sec = - \sqrt{2}$

$cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\ cot(-\dfrac{3 \pi}{4})= -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\ cot (-\dfrac{3 \pi}{4}) = 1$

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3 years ago

Im doing linear equations the problem is 2g=260

astra-53 [7]

$2g=260\\
g=130$

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2 years ago

Read 2 more answers

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a

Mekhanik [1.2K]

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a "logarithmic growth" is the opposite of this, at first you will see a quick increase, that after some time gets slower.

But in this case we are searching for decays: The decays are the opposite of the growths, an "logarithmic decay" starts slow and gets faster latter, and an "exponential decay" decreases very quickly at first, and latter more slowly.

Then, the model for the temperature of the hot tea over the time is a "exponential decay", this is a function of the form T(x) = T₀ $e^{-kt}$ , where T₀ is the initial temperature, t is the time, and k is a constant number.

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3 years ago