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3 years ago

Ismail tried to prove that sin(θ) = cos(90°− θ) using the following diagram. His proof is not correct.

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

C. Ismail used the wrong sides in his ratio for cos (90 - θ)

Step-by-step explanation:

<u>All steps correct apart from:</u>

cos (90° - θ) = AC/BC

<u>It should be</u>

cos (90° - θ) = AB/BC

Correct choice is C

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a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a

Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m = $\frac{2}{3}$

Equation of line is written as

y - $y_1$ = m × (x - $x_1$ )

Since line passes through line ( - 2 , 5 ) and have slope $\frac{2}{3}$

So, y - 5 = $\frac{2}{3}$ × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴ x = - $\frac{10}{2}$

I.e x = - 5

Again points ( - 2 , y ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or, 3 × y + 4 -19 = 0

or, 3 y = 15

∴ y = $\frac{15}{3}$

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5 . Answer

8 0

3 years ago

In 2004 pin header Marie walk 680 miles to the south pole the trip took 58 days suppose they travel the same distance each day w

Helen [10]

Answer: 12 miles

Step-by-step explanation:

From the question, we are informed that Marie walk 680 miles to the south pole and that the trip took 58 days and they travel the same distance each day.

The number of miles that they travel each day to the nearest whole number will be gotten by dividing 680 miles by 58. This will be:

= 680 miles / 58

= 11.72

= 12 miles to nearest whole number.

4 0

3 years ago

VikaD [51]

Answer:

a. Point S

b. Line segment PT and Line segment ST

c. PSQRU

d. Lines PR and SQ

e. Plane C and Plane QRS

Step-by-step explanation:

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2 years ago

Can you guys help me on this?

Burka [1]

Answer:

1/3

Step-by-step explanation:

there's 9 socks in total and 3 black socks so if it's simplyfied it would be 1/3

5 0

3 years ago

Read 2 more answers

At a concert 5/9 of the people in line are girls. 2/3 are wearing glasses, what fraction of the people are wearing glasses?

Setler79 [48]

The girl bit doesn't really matter except for how it says 5/9 which shows that you should factor it by 3's. If you multiply both the 2 and the 3 in 2/3 you would clearly get 6/9. Which is the same thing but is to get it matching with how the question wrote about the people wearing glasses.

Answer: 6/9 people

7 0

3 years ago