The <em>correct answer</em> is:
A) A tangent is never a secant.
Explanation:
A tangent is a line that touches a circle in exactly one point. A secant is a line that touches a circle in two different points.
Since a tangent only touches once and a secant touches twice, there is no way a tangent can be a secant.
Answer:
There are 3 adults in the family.
Step-by-step explanation:
The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.
We have to find the number of adults or the value of x by solving these equations.
equations are 8x + 4y = 32 -------(1)
16x + 12y = 72 --------(2)
Now we will multiply equation 1 by 3 and subtract it by equation 2.
(16x + 12y) -3(8x + 4y) = 72 - 96
16x + 12y - 24x - 12y = -24
(16x - 24x) + (12y - 12y) = -24
-8x = - 24
8x = 24
x = 3
Therefore, there are 3 adults in the family.
Answer:
111 grams
Step-by-step explanation:
fruit: yoghurt: total
2 : 3 : 2+3=5
The total mass is 185
Divide 185/5 = 37
Multiply each number by 37
fruit: yoghurt: total
2*37 : 3 *37 : 5*37
74 111 185
The mass of the yoghurt is 111
Step-by-step explanation:
a. The mean can be found using the AVERAGE() function.
x = 272.7
b. The standard deviation can be found with the STDEV() function.
s = 39.9
c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.
t = 2.162
d. Find the lower and upper ends of the confidence interval.
Lower = 272.7 − 2.162 × 39.9 = 186.5
Upper = 272.7 + 2.162 × 39.9 = 358.9
