Answer:
16 cm
Step-by-step explanation:
Given : The area of triangle ABC is 24 square centimeters.
To Find: If B = 30° and a = 6 cm, what is the measure of side c?
Solution:
Formula : 
a = 6
Area = 24
B = 30°
Substitute the values in the formula
Hence the measure of side c is 16 cm
So, Option c is correct.
Answer:
Please check the explanation.
Step-by-step explanation:
Given
- The length of rectangular field = l = 240m
- The breadth of rectangular field = w = 200m
We can determine the area of the rectangular field using the equation
where
is the length
is the width
substituting l = 240m, and w = 200m in the formula
A = 240 × 200
A = 48000 m²
Given that the cost of digging the field at Rs 10 per m².
Thus,
The cost of digging the field of the area 48000 m² = 10 × 48000
= 480000 Rs
Therefore, the total cost of digging = 480000 Rs
Answer: He can predict that 420 students will be in support of the purchase.
Step-by-step explanation:
Since Randy surveyed one student out of every 5 he came across in the cafeteria, it means that if he came across five people, he will survey one, if he came across ten students, he will survey 2 and so on.
If then he surveyed a total of 140 students, then we can actually multiply the number by 5 to know the exact number of students he possibly came across in the cafeteria:
= 140 × 5
= Total of 700 students
If 84 out of the surveyed students supported the purchase, we can find what that figure represents in the total number of students in the cafeteria:
84/140 = x/700
We cross multiply
140 × X = 84 × 700
140X = 58,800
X = 58,800/140
X = 420 students
Therefore, he can predict that 420 students out of a total of 700 students in the cafeteria will be in support of the purchase of the P.E equipment
Let x be the total number of papers that need to be delivered.
Number of papers Candy can deliver in 1 minute =x/85
Number of papers Tim can deliver in 1 minute =x/65
Time taken for both Tim and Candy all the papers together =x/ (x/85 +x/65)
= x/ (150x/ 5525)
=221/ 6 minutes
=36 minutes 50 seconds
It takes Tim and Candy 36 Minutes and 50 Seconds to deliver all the papers when they work together.
I hope this helps \(^_^)/
~Renee
