Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
Answer:
A) rational number
Step-by-step explanation:
56 is a rational number because it can be expressed as the quotient of two integers like 56 ÷ 1.
Answer:
≈ 10.63
Step-by-step explanation:
Pythagorean Theorem... Possibly the most easy theory in math once you understood it.
Here's the formula.
AB would be the hypothenuse
BC would be the opposite
CA would be the Adjacent.
But let's not make it complicated though, the question is actually quite easy.
You are asked to find AB, the hypothenuse.
The hypothenuse would be C.
BC and CA would be A and B.
It doesn't matter where are you going to place the numbers.
So,
= 113
Now we would have to square root 113 since
is an irrational number, and the question asks you to round ro the nearest tenth.
=10.63014581
≈ 10.63
Your answer would be 10.63
Hope this answer helped :)
Answer:
a) 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3
Step-by-step explanation:
Given that:
Mean (μ) = 23500 kilometers per year
Standard deviation (σ) = 3900 kilometers
Confidence level (c) = 99% = 0.99
number of samples (n) = 100
a) α = 1 - c = 1 - 0.99 = 0.01

Using normal distribution table,
is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.
The margin of error (e) is given as:

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)
Confidence interval = 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3