A triangular prism has a base with a height of 5 cm and a base with a width of 4 cm. The prism has a height of 10 cm. What is the volume of the prism?
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Answer:
The volume of the triangular prism is 100 cubic centimeters.
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Could someone help me out with this.
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Answer: x=15, y=10
*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.
Step-by-step explanation:
For this problem, we can use system of equations. Let's use x for one number and y for the other.
First Equation:
x+y=25
We get this equation because it states that the sum of the two numbers is 25.
Second Equation:
y=x-5
We get this equation because it says one number (y) is 5 less than the other (x).
Since we have two equations, we can use substitution method to solve.
[distribute 1 to (x-5)]
[combine like terms]
[add both sides by 5]
[divide both sides by 2]
Now that we have x, we can plug it into any of the equations to find y.
[plug in x=15]
[subtract both sides by 15]
Finally, we have our answer, x=15 and y=10.
Answer:25,-5
Step-by-step explanation:
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Answer:
12.73%
Step-by-step explanation:
Given the annual rate is 12% compounded weekly.
Let's assume 1 yr=52weeks.
The effective interest rate is calculated as:
Hence, the effective rate for 12% compounded weekly is 12.73%
-The effective rate will be different when the number of compounding times is less than or more than 1 year.
- the effective rate is equal to the stated rate if the compounding number of times is once per year.
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The equation of circle C will be;
⇒ (x + 5)² + (y - 2)² = 7.61²
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The points j(-8,9) and k(-2,-5) are endpoints of a diameter of circle C.
Now,
Since, The points j(-8,9) and k(-2,-5) are endpoints of a diameter of circle C.
Hence, The diameter of circle = √(- 2 - (-8))² + (- 5 - 9)²
= √ 6² + 14²
= √36 + 196
= √232
= 15.23
Thus, The radius of circle = 15.23 / 2
= 7.61
And, The center of the circle = (- 8 + (-2)) / 2 , (9 + (-5))/2
= (- 5, 2)
So, The equation circle C is,
⇒ (x - (-5))² + (y - 2)² = 7.61²
⇒ (x + 5)² + (y - 2)² = 7.61²
Learn more about the circle visit:
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Answer:
(x+5)² + (y-2)² =58
Step-by-step explanation:
"Your answer needs to be at least 20 characters long"
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it is
B) ||u+v|| = sqrt ||u||2 + ||v||2
AND
D) ||u+v|| less than ||u||+||v||
check the picture below.
notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.