All categories

4 years ago

Find the exact value of the expression cos10°cos20°-sin10°sin20° Please Help

Mathematics

1 answer:

Svet_ta [14]4 years ago

5 0

Cos10 cos20 -sin10 sin20 = cos(10+20) = cos30 = √3/2

You might be interested in

Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(

Sever21 [200]

E(x) = A(x) - S(x) = 2400x + 40x^2 - (250x + 500) = 2400x + 40x^2 - 250x - 500 = 40x^2 + 2150x - 500

Ashton's expenses for 3 years E(3) = 40(3)^2 + 2150(3) - 500 = 40(9) + 6450 - 500 = 360 + 5950 = $6,310

4 0

3 years ago

Read 2 more answers

Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per h

sweet-ann [11.9K]

Answer:

$12 + 5h \leq 18 + 3h$

Step-by-step explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

$D: 12 + 5h$

For P:

$P:18 + 3h$

Since D is at most of P;

This implies that:

$D \leq P$

So, we have:

$12 + 5h \leq 18 + 3h$

6 0

3 years ago

Evelyn bought 60 tickets for rides at an amusement park. Each ride costs 3 tickets, and Evelyn has been on x rides so far. Selec

MArishka [77]

Answer:

Step-by-step explanation:

8 0

3 years ago

Y= -f(x+1)-5<br> y= f(x-1)+5<br> y= f(x+1)-5<br> y= -f(x-1)-5<br> y= f(x-1)-5

antoniya [11.8K]

Answer:

x-1-5

Step-by-step explanation:

x-1-5

3 0

4 years ago

What is the difference of the fractions? Use the number line to help find the answer.

Doss [256]

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

$\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}$

Step-by-step explanation:

Given the expression

$\frac{1}{5}-\frac{3}{4}$

Determining the difference of the fractions

$\frac{1}{5}-\frac{3}{4}$

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

$\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}$

Apply the fraction rule: $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$=\frac{4-15}{20}$

Add the number: 4-15 = -11

$=\frac{-11}{20}$

Apply the fraction rule: $\frac{-a}{b}=-\frac{a}{b}$

$=-\frac{11}{20}$

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

$\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}$

3 0

3 years ago