Answer:
<em>AD is 6.5 units</em>
Step-by-step explanation:
Find the diagram attached.
From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.
To get AD, we will use the pythagoras theorem as shown;
Hyp² = Opp² + Adj²
AD² = 6²+2.5²
AD² = 36 + 6.25
AD² = 42.25
AD = √42.25
<em>AD = 6.5</em>
<em>Hence the measure of length segment AD is 6.5 units</em>
The Law of Sines says
We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.
Answer: A=29.44°, C=34.96°
Answer:
The GCF is going to be 20
Step-by-step explanation:
This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 20, 2 × 2 × 5= 20
The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80
The common factors are 2, 2, and 5. We multiply those to get the GCF.
2 × 2 × 5 = 20
Answer:
a) 91 1/6 gallons
b) 2502 miles
Step-by-step explanation:
You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...
(261 mi)/(14.5 gal) = 18 mi/gal
We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:
a) 1641 miles/(gallons) = 18 mi/(1 gal)
Multiplying by gallons and dividing by 18 mi/gal, we get
1641/18 gal = (gallons) = 91 1/6 gal
It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.
___
b) Same deal, but the miles are unknown.
(miles)/(139 gal) = (18 mi)/(1 gal)
Multiplying by 139 gal gives ...
(18 mi)·139 = (miles) = 2502 mi
139 gallons of gasoline will let Mary drive 2502 miles.
Explanation is in a file
bit.
ly/3a8Nt8n
