<h3>The distance between two landmarks is 123 meters</h3>
<em><u>Solution:</u></em>
We have to find the distance between two landmarks
<em><u>Use the law of cosines</u></em>
The third side of a triangle can be found when we know two sides and the angle between them

Here, angle between 90 meters and 130 meters is 65 degrees
From figure,
a = 90
b = 130
c = d
Therefore,

Thus, the distance between two landmarks is 123 meters
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
Answer:
y-12<-32
Step-by-step explanation:
just remember to underline the less than sign
Answer:
B (1 , 3) , D (1 , -2)
Step-by-step explanation:
∵ A (-3 , 3) , C (-3 , -2)
∵ They have the same x-coordinate
∴ AC is a vertical segment its length = 3 - -2 = 5
∵ The area of the rectangle = 20
∴ The width of it = 20 ÷ 5 = 4
∴ x-coordinate of B: -3 + 4 = 1
∴ y-coordinate of B : 3 ⇒ AB horizontal segment
∴ B (1 , 3)
∵ x-coordinate of BD is 1 ⇒ BD is vertical segment
∵ y-coordinate = 3 - 5 = -2
∴ D (1 , -2)