Answer:
31.7 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = absinC
where a, b are the 2 sides given and C the angle between them
∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus
A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:
The formula to calculate the slope is the following:
The points are (-6, -9/2) and (4,3), replacing:
The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:
The equation is:
Therefore, the true statements are:
• Both functions have the same slope
,• The linear equation does not have a y-intercept
,• The table and the grahp express an equivalent function
Answer:
Step-by-step explanation:
A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.
a) Rolling an Odd number in first throw
A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5
So, total number of possible outcomes = 6
Total Favorable outcomes (Odd numbers) = 3
Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,
The probability of rolling an odd number would be =
b) Rolling a number greater than 3 in second throw
Here again total possible outcomes = 6
Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3
So,
The probability of rolling a number greater than 3 =
These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.
So,
Probability of rolling an odd number the first time and a number greater than 3 the second time =