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olga55 [171]
3 years ago
15

Prove that sin²a + cos²a = 1 and =

le="\frac{1}{cos^{2}a }" alt="\frac{1}{cos^{2}a }" align="absmiddle" class="latex-formula"> + tan²a (a not alpha)

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

\frac{1}{cos^2a }=  tan^2 a

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              \frac{1}{cos^{2} a}  \\= \frac{sin^2a+cos^2a}{cos^2a}  \\                         \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}

= tan²a + 1



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I recommend using desmos if you wanna know what a graph looks like !

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3 years ago
You are planning a party for all of your friends. The cost of renting a room is $35, cost of food per person is $4. How much wil
Ratling [72]

Answer:

67

Step-by-step explanation:

basically 1st you have to multiply the cost of food so 4 times 8

2nd you already know the cost of the room

so 3rd add the values

cost of food=32 dollars

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8 0
3 years ago
At 55 mph it will take you approximately _____ feet to stop the car. A. 5 feet B. 100 feet C. 228 feet
ololo11 [35]

Answer:

The correct answer is option C, 228 feet

Step-by-step explanation:

As per Newton’s third law of motion:

V2 – U2 = 2 x a x S

Where V = final velocity

U = Initial Vlocity

a = acceleration (-ve)

S= distance travelled

V= 0 mph

U= 55 mph = 80.6667 ft /sec

0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S

S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)

S = 202.1 feet

So the most nearest option is option C

6 0
3 years ago
Explanation and answer please :)
Juli2301 [7.4K]

$20,000 is between $15,000 and $49,999, so we'll use the interest rate of 6.5% (see row 3)

r = 6.5% = 6.5/100 = 0.065

We'll use the decimal form of the interest rate as it is most common for financial math problems.

P = 20,000 is the amount deposited

t = 1 year is the amount of time

We will plug those values into the formula

i = P*r*t

to get the following:

i = P*r*t

i = 20000*0.065*1

i = 1300

So Mark earns $1,300 in simple interest each year.

6 0
3 years ago
I need to know this geometry answer.
STatiana [176]
2x + 1.5x +20 = 90 
3.5 x = 90-20 
3.5 x = 70 
x = 70/3.5 
x = 20 
angle DAE = 2*20 = 40 
angle CAD = 1.5*20 +20 = 50
3 0
3 years ago
Read 2 more answers
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