Answer:
yes
Step-by-step explanation:
8² + 15² = 17²
64 + 225 = 289
289 = 289
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Equation
−4(10 − a) = 36 Simplify both sides
(−4)(10) + (−4)(−a) = 36 Distribute
−40 + 4a = 36
4a − 40 = 36
4a - 40 + 40 = 36 + 40 Add 40 to both sides
4a = 76
4a/4 = 76/4 Divide both sides by 4
76/4 = 19 Simplify 76/4
a = 19
Hope this helps!
Answer:
0.56
Step-by-step explanation:
sin x
tan x is defined as -------------
cos x
and we can solve this for sin x: sin x = (cos x)(tan x)
which here is: sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)
Answer:
The area of the triangular sail is 216 ft²
Step-by-step explanation:
Since the sail is triangular, we solve the area using the area of a triangle
Area of triangle = 1/2 of base × height
base is 18 and height is 24
Area = 1/2 × 18 × 24
= 9×24
= 216 ft²
Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.