3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
Answer:
Yes. There is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average
Step-by-step explanation:
Given the following;

#We set our hypothesis as:

The rejection region of either hypothesis:
, we determine the critical values for this probability in the T distribution table;

=>We reject for all values greater than 1.833, t>1.833.
#We now determine the value of the test statistic as:

We find that:

Hence, there is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average.
Answer:
1.75 tons, one ton is 2000 pounds, and there are 1500 pounds left which is .75 of a ton. Hope this helps!
Step-by-step explanation:
Sum of angles in a triangle = 180°.
=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°
=> 9/7 * s° = 180°
=> s° = 180° * (7/9) = 140°
Hence the value of s is 140.
Y = -3x + 13
Steps and the graph are on paper