Order the numbers from least to greatest. a –8, −10, 0, 5, 1, −1, 3, −6, −9, −19, 32
krek1111 [17]
Start with -19, -10, -9,-8,-6,-1,0,1,3,5,32
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
The three fractions that are all equivalent to 0.75 are . . .
75/100
15/20
3/4
6/8
12/16
72/96
111/148
114/152
330/440
729/972
Trigonometric ratios are useful in calculating the side lengths of a triangle.
- The length of the zip line is 222.5 ft
- The height where the ladder rests against the tree is 38.6 ft
- The distance between the base of the ladder and that of the tree is 10.4 ft
- The distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
<u>(a) Length, z</u>
First we calculate (h) using the following sine ratio

Make h the subject

Next, we calculate (z) using the following sine ratio

Make z the subject

Substitute 


Hence, the length of the zip line is 222.5 ft
<u>(b) The height, h</u>
In (a), we have

Evaluate

Hence, the height where the ladder rests against the tree is 38.6 ft
<u />
<u>(c) The distance, b</u>
To do this, we make use of the following sine ratio

Make b the subject


Hence, the distance between the base of the ladder and that of the tree is 10.4 ft
<u />
<u>(d) Distance, B</u>
To do this, we make use of the following sine ratio

Make B the subject

Substitute 


Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
<u />
Read more about trigonometry ratios at:
brainly.com/question/24888715