Answer:
Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor
Step-by-step explanation:
It is important to note that all the information's required are already given in the question
Probability that a day will be hot = 0.15 + 0.10
= 0.25
Probability that a day will be sunny = 0.15 + 0.30 + 0.10
= 0.55
Adding the above two probabilities, we get = 0.25 + 0.55
= 0.80
Now
Probability that a day will be both hot and sunny = 0.15
So
Probability that a day was hot or sunny = 0.80 - 0.15
= 0.65
I hope the procedure is clear enough for you to understand.
Price before tax = $18
Tax = 7% x $18 = 0.07 x 18 = $1.26
Price after tax = $18 + $1.26 = $19.26
Answer: $19.26
Answer:
Part a) The area of the base is 
Part b) The area of the base is 
Step-by-step explanation:
we know that
The area of a rectangle is equal to

Part a)
we have


substitute

Part b)
we know that

Convert inches to feet


substitute in the formula

Convert to mixed number

Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.
Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:

Plug the numbers in to find c, the length of your path! So