Answer:
37°
Step-by-step explanation:
we're going to use cosine rule In calculating for the value of angle A
note that cosine rule can be used when two sides are given with an included angle . from the diagram above, the two sides given are side AB and side AC and the included angle is A
Hence cosine rule
a^2 = AB^2+AC^2 - 2AB×AC Cos A
3.2^2= 2.1^2+4.6^2-2×2.1×4.6COSA
10.24 =4.41+21.16- 19.32 COSA
10.24 = 25.57-19.32COSA
10.24-25.57= -19.32COSA
-15.33= -19.32COSA
dividing bothsides by - 19.32
COSA= -15.33/19.32
COA= 0.79347826
A = COS^-1 (0.79347826)
A= 37.488
A= 37°
<h2>hope this helps!!</h2>
Answer:
The probability of randomly choosing a slice of veggie pizza is 3/7
Step-by-step explanation:
Probability is the measure of uncertainty of any event. It is the ratio of number of favorable outcomes to the total number of possible outcomes. That is,
Probability, P(A) = (Number of a Favourable outcome) / (Total number of possible outcomes).
From the question,
There are four slices of pepperoni pizza and three slices of veggie pizza, this means
Total number of favourable outcomes = 4 + 3 = 7
The favourable outcome is the veggie pizza, therefore
Number of favourable outcome = 3
Hence,
Probability P (A) = 3 ÷ 7
P(A) = 3/7
The probability of randomly choosing a slice of veggie pizza is 3/7
Answer:
m = (p+7n)/3
Step-by-step explanation:
3m-7n = p
3m = p+7n
m = (p+7n)/3