The third one is correct! Hope I helped!
The answer is B.
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The triangles on the two ends are congruent. So, to find the prism area, it is enough to take the area of one of the triangles and multiply it by the prism depth, which is 20 units.
Use the Pythagorean theorem to find the height of the triangle. 5^2 - 3^2 = 4^2, so the height is 4. Multiply half times height times base: 1/2 x 4 x 3 = 6. Multiply that by the depth, 20. 6x20=120. The answer is in cubic units, or units^3
Answer:
The answer is number 4. 21.3 cm
Step-by-step explanation:
In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.
We substitute the values in the Pythagorean Theorem
c² = a² + b²
We clear the equation for b
b² = c² - a²
b² = (24)² - (11)²
b² = 576 - 121
b² = 455
√b² = √455
b = 22.3 cm
Answer:
x = 2.5
Step-by-step explanation:
The arc length x is calculated as
x = circumference of circle × fraction of circle
= 2πr × 
( cancel 2π on numerator/ denominator )
x = 1 × 2.5 = 2.5
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
2. Pass the number 50 from the right member to the left member. Then you obtain:
x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span>
3. Then, you must apply the quadratic equation, which is:
x=(-b±√(b^2-4ac))/2a
</span><span>x^2+20x+50=0
</span><span>
a=1
b=20
c=50
4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
-10</span>±5√2 (It is the last option).
