MATHEMATICS HIGH SCHOOL

13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° .a. 0
b. 1/2
c. 1
d. 2

Answers

Answer 1
Answer: sin30^o-sin45^ocos45^o\n\nsin30^o=(1)/(2)\n\nsin45^o=cos45^o=(\sqrt2)/(2)\n\nsin30^o-sin45^ocos45^o=(1)/(2)-(\sqrt2)/(2)\cdot(\sqrt2)/(2)=(1)/(2)-(2)/(4)=(1)/(2)-(1)/(2)=0\n\nAnswer:a.
Answer 2
Answer: sin30  1/2
sin45*cos45=1/2
=>  1/2  -  1/2 = 0

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How do you work out 77 divided by 1.54

Answers

77 divided by 1.54

77 ÷ 1.54

1.54 I 77

Get rid of the decimals (to make it easier to divide)

1.54 × 100 = 154
77 × 100 = 7700
         0050
154 I 7700
        -0
         77
        -00
         770       ( 154 × 5 = 770, there are five 154's in 770)
        -770
         0000

1.54 × 50 = 77

How to round 45 grams to the nearest 10 grams

Answers

So,

We need to round 45g to the nearest 10g's.

Look at the number in the one's place.  If the number is greater than or equal to 5, round up.  If the number is less than 5, round down.

45g rounded to the nearest ten is 50g.

A bank offers a 3.7% annual interest rate for a retirement savings account. A worker puts $8,000 into the account. How much will be in the account after a year?

Answers

Answer:

$8,296

Step-by-step explanation:

(see attached for reference)

assuming simple interest, the final amount is given by

A = P(1 + rt), where

A = final amount (we are asked to find this)

P = principal amount = given as $8000

r = rate = 3.7% = 0.037

t = time = 1 year

substituting the known values into the formula,

A = P(1 + rt)

= 8,000 [ 1 + (0.037)(1) ]

= $8,296

Assuming that there are 10 digits used as telephone number and the area code is a fixed 3 digit number. How many different telephone numbers could be created?

Answers

9,999,999,999,987 Of course, if 'numbers' with leading digits e.g. 0 000 087 654 321, and all zeros, are not counted as valid 'numbers' then there are 13 less possibilities. i.e. There are only 9,999,999,999,987 possibilities.

Is this graph a function

Answers

Answer:

To determine if a graph is a function, we need to check if each input (x-value) has a unique output (y-value). We can do this by performing the vertical line test.

Here's how you can determine if a graph is a function using the vertical line test:

1. Imagine drawing a vertical line anywhere on the graph.

2. If the vertical line intersects the graph at more than one point, then the graph is not a function.

3. However, if the vertical line intersects the graph at only one point, then the graph is a function.

So, if you have a specific graph in mind, you can visualize drawing vertical lines and see if they intersect the graph at more than one point. If they do, then the graph is not a function. If each vertical line intersects the graph at only one point, then the graph is a function.

Step-by-step explanation:

Please help If triangle ABC is dialted by a scale factor of 2 and the origin as it's center, what would be the coordinates of A'?

A.(4,2)
B.(9,9)
C.(6,6)

​

Answers

It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)
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