Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
Answer:
32 fizzies
Step-by-step explanation:
4/5 = .8
.8 x 40 = 32
- I found that 80% of 40 is 32 therefore 32 fizzies are in the packet of sweets.
- Hope this helps! If you need a further explanation please let me know.
Answer:
a) The arithmetic sequence with common difference 2 that has 8 as the first term.
b) The arithmetic sequence of common difference -5 and first term 15.
Step-by-step explanation:
Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:
8, and (8+2) = 10 Therefore the second term is 10.
Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:
15, and (15 - 5) = 10. Therefore again a 10 as second term.
Answer: 306 inches or 25.5 feet or 8.5 yards.
Step-by-step explanation:
Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.
1 feet = 12 inches
length of ribbon Tino has = 12 x 7.5 = 90 inches
1 yard = 36 inches
length of ribbon Baxter has = 3.5 x 36 = 126 inches
Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)
= (90+90+126) inches
= 306 inches
In feet , Total ribbon = 
![[\text{ 1 inch}=\dfrac{1}{12}\text{ feet}]](https://tex.z-dn.net/?f=%5B%5Ctext%7B%201%20inch%7D%3D%5Cdfrac%7B1%7D%7B12%7D%5Ctext%7B%20feet%7D%5D)
In yards, Total ribbon =
![[\text{1 feet}=\dfrac{1}{3}\text{ yard}]](https://tex.z-dn.net/?f=%5B%5Ctext%7B1%20feet%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctext%7B%20yard%7D%5D)
Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.
