Answer:
By using the Pythagorean theorem, the sides form a right triangle:
36^2 + 15^2 = 39^2
Draw dagarm (see attachment)
we've got a right triangle
the legs are 12 and 15
and the hypohuse is the diagonal
remember, for any right tirnalge
when the legs are a and b and hytponuse is c then
a²+b²=c²
so
12²+15²=c²
144+225=c²
369=c²
sqrt both sides
√369=c
3√41=c
the diagonal is 3√41 m or about 19.2m
Answer:
x=4, y=4, λ=-16
Step-by-step explanation:
We have this 3x3 system of linear equations:
λ
λ
So, let's rewrite the system in its augmented matrix form
Let´s apply row reduction process to its associated augmented matrix:
Swap R1 and R3
R3-4R1
R3+R2
Now we have a simplified system:
x+y+0=0
0+4y+λ=0
0+0+2λ=-32
Solving for λ, x, and y
λ=-16
x=4
y=4
Answer:
<u>The correct answer is C. US$ 13.38</u>
Step-by-step explanation:
1. Let's check the information given:
Cost of winter coat = US$ 237
Cost of mittens = US$ 3.15 each
Sales tax rate in New York = 5.5%
Total purchase = Cost of winter coat + Cost of mittens
Total purchase = 237 + 2 * 3.15
Total purchase = 237 + 6.30
Total purchase = US$ 243.30
2. Calculation of the Sales tax rate in New York
Sales tax rate in the purchase = 243.30 * 5.5%
Sales tax rate = 243.30 * 0.055
<u>Sales tax rate = US$ 13.38</u>
Answer:
Step-by-step explanation:
The formula for finding the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
Where
n represents the number of sides of the polygon.
5a) The polygon has 11 sides. Therefore, sum of angles is
(11 - 2) × 180 = 1620
The measure of each angle is
1620/11 = 148.3°
b) n = 24
Therefore, sum of angles is
(24 - 2) × 180 = 3960
The measure of each angle is
3960/24 = 165°
5a) n = 7
Therefore, sum of angles is
(7 - 2) × 180 = 900
The measure of each angle is
900/7 = 128.6°
5b) n = 10
Therefore, sum of angles is
(10 - 2) × 180 = 1440
The measure of each angle is
1440/10 = 144°