Explanation:
1) sin(37º)=x/10.3————>trigonometric ratio (sine)
2)7²+10²=c²—————-> pythagorean theorem
3) using sine—————> sin(51º)=9/x
using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)
4)using pythagorean theorem————> 6²+7²=c²
angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4
Answers:
1)x= 6.2
2)x= 12.2
3)x= 11.6 (rounded)
4)x= 9.2
credit to <u>genan</u> for question 3 and 4
ur welcome :)
correct me if im wrong
brainliest please?
PART A)
The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.
<span>the initial value is 200 at 0
weeks, which means that there are 200 songs to be downloaded at the
beginning</span>
PART B)
<span><span><span>
<span><span>calculate the slope:
</span><span>
m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
m = -40
now use the line equation in form of point-slope
y - y1 = m(x - x1)
y - 200 = -40(x - 0)
y = -40x + 200</span></span>
</span></span></span>
<span>
<span>
</span></span>
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
The answer would be 28 but couldnt you have done this yourself?
Answer:
The length of slide is 18.36 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where
The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.
Height of tower = h = 16 meters
Distance between slash pool and base of tower = b = 9 meters
Length of slide = s = ?
As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide
Pythagoras theorem states that:
Hence,
The length of slide is 18.36 meters
