1) iven sinx=45 and cosx=35 .

what is ratio for tanx ?

4)what is the value of x?

sin(x+22)°=cos(2x−7)°

enter your answer in the box.

x =

enter your answer in the boxes as a fraction in simplest form.

2)∠a is an acute angle in a right triangle.

given that cosa=1517, what is the ratio for sina?

enter your answer in the boxes as a fraction in simplest form

3)given sinx=0.5 , what is cosx ?

enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

4)what is the value of x?

sin(x+22)°=cos(2x−7)°

enter your answer in the box.

x =

Part 1)

Part 2)

Part 3)

Part 4)

Step-by-step explanation:

Part 1) Note In this problem sinx should be 4/5 not 45 and cosx should be 3/5 not 35

Given sinx=4/5 and cosx=3/5 (see the note)

What is ratio for tanx ?

we know that

substitute the values

Part 2) ∠A is an acute angle in a right triangle

Note In this problem cosA should be 15/17 not 1517

Given that cosA=15/17, what is the ratio for sinA?

we know that

substitute the value of cos(A) and solve for sin(A)

Part 3) Given sinx=0.5 , what is cosx ?

we know that

substitute the value of sin(x) and solve for cos(x)

Part 4) What is the value of x?

sin(x+22)°=cos(2x−7)°

we know that

if

then

-----> by complementary angles

so

in this problem

solve for x

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

answer: it's d

step-by-step explanation: