Answer:
-13
Step-by-step explanation:
<u>See steps below:</u>
- 2(3x+6)=3(x-9) ⇒ distribution
- 6x + 12 = 3x - 27 ⇒ grouping like terms
- 6x - 3x = -27 - 12 ⇒ simplifying
- 3x = -39
- x= -39/3
- x = -13 ⇒ answer
Answer:
Total Area = 110 m²
Step-by-step explanation:
To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).
<h3>Shape 1</h3>
Name: triangle
Formula: A = 1/2bh
Values: b = 15 m -5 m = 10 m; h = 4 m
Area = 1/2(10 m)(4 m) = 20 m²
__
<h3>Shape 2</h3>
Name: rectangle
Formula: A = bh
Values: b = 15 m; h = 6 m
Area = (15 m)(6 m) = 90 m²
__
Total area = Shape 1 area + Shape 2 area
Total area = (20 m²) +(90 m²) = 110 m²
Answer:
Step-by-step explanation:
Draw a picture to see that the radius must be 7.
She can draw a triangle and then write the lenghts of the triangles with the same numbers
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
