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3 years ago

Prove the following please help

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Step-by-step explanation:

5. I assume you mean this:

(cos²x / sin x) + sin x

Add using common denominator.

(cos²x / sin x) + (sin²x / sin x)

(cos²x + sin²x) / sin x

Use Pythagorean identity.

1 / sin x

csc x

6. tan²x cos²x

Write tangent in terms of sine and cosine.

(sin²x / cos²x) cos²x

Simplify.

sin²x

Use Pythagorean identity.

1 − cos²x

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Help, please Jake has $100 of birthday money in his wallet. He spends $15 at Twistee Treat and $10 at Wawa. While walking home h

Alchen [17]

Answer:

The expression is $x=100-15-10+20-40+35$

Jake has in his wallet $\$90$

Step-by-step explanation:

Let

x-----> the money that Jake has in his wallet

we know that

The expression that represent the situation is equal to

1) Jake has $100 of birthday money in his wallet

$x=100$

2) He spends $15 at Twistee Treat and $10 at Wawa

$x=100-15-10$

3) He finds a $20 bill on the ground

$x=100-15-10+20$

3) His friend borrows $40 from Jake

$x=100-15-10+20-40$

4) At home, Jake mows the lawn and earns $35

$x=100-15-10+20-40+35$

$x=\$90$

5 0

3 years ago

Simplify. Show your work.

alex41 [277]

1 5/6 is the correct answer.

8 0

3 years ago

Find the estimates of x^2-x-2=3

Julli [10]

Answer:

$x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-x-2=3\\x^2-x-5=0$

Roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

So, for the given equation roots are

$x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

5 0

2 years ago

the entry ticket for a baseball game costs $5 for an adult ticket and $3 for a child.A group of 20 people paid total entry fees

sesenic [268]

There would be 15 adults and 5 children in that group.
15 adults = $75
5 Children= $15
75+15= $90

7 0

3 years ago

Read 2 more answers

A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the p

ozzi

Answer: b. C = 5 × ($0.75 × 4)

Step-by-step explanation:

Note that 4 quarts = 1 gallon

Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:

= 5 × ($0.75 × 4)

= 5 × $3

= $15

8 0

2 years ago