Answer:
a)80
b)250
c)130
Step-by-step explanation:
ANSWER
B.
EXPLANATION
The volume of a cone is calculated using the formula:
where r=4 units is the base radius of the cone.
and h=21 units is the vertical height of the cone.
We plug in the values to get;
Answer:
no real solutions
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 : a ≠ 0
Then the nature of the roots can be determined from the discriminant
b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Given
n(7n + 8) = - 10 ← distribute left side
7n² + 8n = - 10 ( add 10 to both sides )
7n² + 8n + 10 = 0 ← in standard form
with a = 7, b = 8 and c = 10, thus
b² - 4ac = 8² - (4 × 7 × 10) = 64 - 280 = - 216
Since b² - 4ac < 0 the equation has no real roots
Answer:
Null hypothesis: H0: The dictator's negative are equal to 70%.
Alternative hypothesis: Ha: The dictator's negative are less than 70%.
Step-by-step explanation:
The null hypothesis always contains equality sign and alternative hypothesis usually contains claim made by researcher. Here, in the given scenario, the political committee of a dictator wants to keep negatives below to 70%. So, the null hypothesis will be that the negative are equal to 70% while alternative hypothesis will be that the negative are less than 70%.
Thus, the hypotheses for the given scenario are
Null hypotheses: H0: The dictator's negative are equal to 70%.
Alternative hypotheses: Ha: The dictator's negative are less than 70%.
Answer:
The measures of angles of triangle MNP are
Step-by-step explanation:
step 1
Find the measure of arcs AB, BC and AC
we know that
The inscribed angle is half that of the arc it comprises.
so
---->
---->
---->
step 2
Find the measure of angle M
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
substitute
step 3
Find the measure of angle N
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
substitute
step 4
Find the measure of angle P
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
substitute