PLZ ANSWER QUICK-MATH TRIG

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

FG = 9.7ft

Step-by-step explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)

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How many solutions does the equation have? 6-a = 1/3(9a-18)

Alex777 [14]

6 - a = $\frac{1}{3}$ (9a - 18)

First, simplify $\frac{1}{3} (9a - 18)$ to $\frac{9a-18}{3}$ / Your problem should look like: $6 - a = \frac{9a - 18}{3}$
Second, multiply both sides by 3. / Your problem should look like: $18 - 3a = 9(a - 2)$
Third, expand. / Your problem should look like: $18 - 3a = 9a - 18$
Fourth, add 3a to both sides. / Your problem should look like: $18 = 9a - 18 + 3a$
Fifth, simplify 9a - 18 + 3a to 12a - 18. / Your problem should look like: $18 = 12a - 18$
Sixth, add 18 to both sides. / Your problem should look like: $18 + 18 = 12a$
Seventh, add 18 + 18 to get 36. / Your problem should look like: $36 = 12a$
Eighth, divide both sides by 12. / Your problem should look like: $\frac{36}{12} = a$
Ninth, since 3 goes into 12 to get 36, simplify $\frac{36}{12}$ to 3. / Your problem should look like: $3 = a$
Tenth, switch sides. / Your problem should look like: $a = 3$

Answer: a = 3 (one solution)

5 0

3 years ago

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn. Sarah earned $140 for mowing 6 yards

saul85 [17]

x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.

Step-by-step explanation:

Given,

Charges for cutting small lawns =$20

Charges for cutting large lawns = $30

Total yards mowed = 6

Total amount earned = $140

According to given statement;