486.65 is the answer to the question
Answer:
F
Step-by-step explanation:
4x^2 - 4x - 35 = 0
factor
(2x + 5)(2x - 7) = 0
x = -5/2, x = 7/2
that's F
Answer:
m∠FEH = 44°
m∠EHG = 64°
Step-by-step explanation:
1) The given information are;
The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°
Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°
Therefore, angle subtended by arc ∠HGF at the center = 88°
The angle subtended by arc ∠HGF at the circumference = m∠FEH
∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)
m∠FEH = 44°
2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°
The sum of angles in a quadrilateral = 360°
Therefore;
m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)
m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°
m∠EHG = 64°.
Answer:
23
Step-by-step explanation:
<em><u>Since it gives you the values of p and q, just plug it into the expression:</u></em>
7 - 5p + 3q
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
Answer:
<h2>2/3</h2>
Step-by-step explanation:
This problem bothers on probability
Given that two dice are expected to give an outcome of sum greater than 8
But in the problem statement the first die is already settled since it is showing 6 already.
Now for the second die, the possible outcomes that will add up with the first die to produce a figure greater than 8 are (3,4,5,6)
The probability of obtaining either of these numbers is 4/6= 2/3
<em>Having the first die settled, this means that the probability of obtaining a sum of 8 is 2/3</em>
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