Answer:
1.17
Step-by-step explanation:
(MUCH BETTER!)
From the definition of the sin of an angle, you know:
sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569
sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893
Then the difference AB-AD is:
AB -AD = 5.6569 -4.4893 = 1.1676
AB -AD ≈ 1.17 units
Sorry this took me so long to answer!
<span>Approximately 11 days old</span>
B² - 16a + 6
(7)² - 16(1/2) + 5
49 - 8 + 5
49 -13
36
-------------------------------
3b - 2a - 9
3(7) - 2(1/2) - 9
21 -1 - 9
20 - 9
11
-------------------------------
16a - b
16(1/2) - 7
8 - 7
1
-------------------------------
3(7) - 2(1/2) - 9
21 -1 - 9
20 - 9
11
-------------------------------
6(1/2)(7)
3(7)
21
-------------------------------
Answer:
Step-by-step explanation:
The top and bottom triangles have two congruent sides with different included angles.
- AB = AD and AC is common side.
<u>The greater angle has greater op</u>posite side.
- The ∠BAC is greater than the ∠DAC as opposite side of the first (22) is greater than the opposite side of the second (16).
The ∠DAC must be greater than zero but smaller than 48°.
<u>Required inequality is:
</u>
- 0 < 2x - 12 < 48
- 12 < 2x < 60
- 6 < x < 30
So x has a value between 6 and 30
Answer:
y = -5x - 3
Step-by-step explanation:
To answer this the slope must be clculated first
slope equation:

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)
we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.
the next odered pair is 2 so x2 = -3 and y2 = 0.
With this information layed out we can solve:

0 - 10 = -10
-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive
= -5
the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:
y = mx+b
There are other equations that can be used for a line but with the info given this equation best suits the data.
m = slope
y and x = are the ordered pair you can input into the equation to slove
b = the y intercept
So the equation would be:
y = -5x - 3