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3 years ago

14

Frank finished 65% of his math homework before dinner. If this amount represents 26 problems,How many problems will Frank need t

o complete after dinner.

1 answer:

Marysya12 [62]3 years ago

5 0

Frank has 9 more math problems.

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Verify the identity

Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

$\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x$

Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

Step 3: Reciprocating sec x, we get;

$\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x$

Step 4: Splitting the denominator, we have;

$\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x$

Simplifying, we get;

$\tan x \sec x=\tan x \sec x$

Thus, the identity is proved.

5 0

3 years ago

3 times the difference between ten times a number and three is eighty one? Find the number

bixtya [17]

{x 187394hours ,243}

7 0

2 years ago

Include parentheses in your answer.<br> (x3 + y3) ÷ (x - y)

-Dominant- [34]

I'm assuming you mean $\frac{x^3+y^3}{x-y}$

we can factor that sum of perfect cubes from $x^2+y^3$ into $(x+y)(x^2-xy+y^2)$

so therefor $\frac{x^3+y^3}{x-y}=\frac{(x+y)(x^2-xy+y^2)}{x-y}$
that is simpliest form

8 0

3 years ago

Which table represents a linear function?

Viktor [21]

Answer:

table C represents a linear function.

8 0

2 years ago

Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write you

saul85 [17]

Answer:

1 7/12 cups

Step-by-step explanation:

1/2 x 3 1/6 = 1/2 x 19/6 = 19/12 or 1 7/12

6 0

2 years ago

Read 2 more answers