9514 1404 393
Answer:
1.1.1 sin(241°) = -√t
1.1.2 cos(61°) = √(1 -t)
Step-by-step explanation:
<u>Given</u>:
sin(61°) = √t
<u>Find</u>:
1.1.1 sin(241°)
1.1.2 cos(61°)
<u>Solution</u>:
1.1.1 sin(180° +x) = -sin(x)
sin(241°) = -sin(61°) = -√t
__
1.1.2 cos(x) = √(1-sin²(x))
cos(61°) = √(1 -(√t)²) = √(1 -t)
statements 1, 3, 4 are correct
Answer:
Blue balloons = 12
Step-by-step explanation:
Total no of balloons = 21
Let us assume that the ratio of blue balloons to green balloons is 4:3.
Let there are 4x blue balloons and 3x green balloons.
ATQ,
4x+3x = 21
7x = 21
x = 3
Blue balloons = 4x
= 4(3)
= 12
Hence, she will have 12 blue balloons at her party.
Answer:
x=11
Step-by-step explanation:
Since the lines in the middle are parallel, we know that both sides are proportional to each other.
6:48 can be simplified to 1:8
Since we know the left side ratio is 1:8, we need to match the right side with the same ratio
We can multiply the ratio by 5 to match 5:3x+7
5:40
5:3x+7
Now we can set up the equation: 40=3x+7
Subtract 7 from both sides
3x=33
x=11
Answer:
x = 20°
Step-by-step explanation:
The angle measures should add up to 180 degrees. So that leaves us with 100 degrees left to find if we take out the 80 given.
3x + 2x simplifies to 5x. 5x must equal 100.
100/5 = 20.
Therefore x = 20.
