Answer:
45
Step-by-step explanation:
by the definition of an isocoles triangle, defined by having two congruent sides, (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45
I’ll try to make a step by step demonstration! Feel free to skip to step 5 for the answer, though
1. The formula for a right triangular prism is (1/2)*base*height*length, and we know what the base (4 cm) and length (8 cm) are, but not the height
2. To find the height we must divide the side triangle into two, which then gives us two right triangles
3. Focusing on just one of the right triangles, its base will be 2 cm rather than 4 (as it has been divided by two) and its hypotenuse will be 4 cm; using Pythagorean’s theorem (a^2 + b^2 = c^2), solve for the missing side (the height), which should end up being √12
4. Multiply! (1/2)4*√12*8 ≈ 55.425
5. Round to the nearest tenth —> 55.4
I hope this helped somewhat! Comment if clarification is needed
A is True.
B is false.
Hope this helps!
Ivy earns 8.5 money per hour for babysitting.
Step-by-step explanation:
The given data is linear and it clearly represents the following information:
(2,17) shows 2 hours = 17 money
(5,42.5) shows 5 hours = 42.5 money
So, to find the money for 1 hour let us assume as "X" money per hour.
Using the rate formula,
Money per Hour= Total money/Total hours
X money/1 hr= 59.5 money/7 hours
<u>X= 8.5 money/hour</u>
