You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
Answer:
Distance from Earth to Proxima Centauri (in scientific notation) =
kilometers
Step-by-step explanation:
We need the conversion between Astronomical Unit and Kilometers.
The conversion is:
1 AU = 1.496*10^8 km
or rounded, given in this problem,
1 AU =
km
We need the distance from Earth to Proxima Centauri:
AU *
kilometers
When multiplying two numbers in scientific notation, we have to "multiply the coefficients" and "add the exponents".
Lets do this:

Distance from Earth to Proxima Centauri (in scientific notation) =
kilometers
Answer:
$86 is she spending on the party.
Step-by-step explanation:
As per the statement: A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each.
⇒ 6 pizzas for $7 each
Total cost for 6 pizzas = 
2 bowls of mixed salad for $12 each.
Total cost for 2 bowls = 
and
4 cases of assorted soft drinks for $5 each.
Total cost for 4 cases of assorted soft drinks = 
She spending on party = Total cost for 6 pizzas + Total cost for 2 bowls + Total cost for 4 cases of assorted soft drinks
Substitute the values we get;
Total cost she spending on party = 
(-2-4y)(-8)
Use distributive property:
(-2*-8)+(-4y-8)
(remember that when 2 negative numbers are multiplied together it becomes positive.
16+32y
Hope this helps :)
8 gallons syrup to 4 batches of candy....8/4 = 2 gallons of syrup to 1 batch of candy...so ur ratio is : 2/1 or 2:1 or 2 to 1