Answer:
25 miles
Step-by-step explanation:
Given: A boat sail 20 miles west of the port and then 15 miles south to an island.
Picture attached.
The distance from port to island could be measured in a straight line. It will form a hypotenous.
∴ we can use Pythogorean theorem to find the distance.
Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.
⇒ 
⇒
⇒
We know 
.
∴
∴ Distance of Port from the Island is 25 miles.
Answer:
4
Step-by-step explanation:
The answer is 4
Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
The equation a = 100 + 75d represents Maria's account balance.
<u>Step-by-step explanation:</u>
Given that,
- Maria opened a new savings account with an initial deposit of $100.
- She deposits $75 into this savings account every two-weeks.
You need to find the equation to represent Maria's account balance, a after she has completed d deposits.
- Let 'd' be the number of deposits Maria made after the initial deposit.
- Let 'a' be the total account balance after 'd' deposits.
Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.
<u>To find the amount that was deposited after the initial deposit :</u>
⇒ $75 × number of times Maria deposited.
⇒ 75 × d
The equation is written as,
⇒ a = 100 + 75d
Hence the equation a = 100 + 75d represents Maria's account balance.
