The top angle in the middle triangle is 180-121, which is 59.
The right side angle in the triangle is 180-144, which is 36.
The angles of a triangle add up to 180. Therefore, bottom left angle in triangle equals 180-59-36, which equals 85.
N equals 180-the bottom left triangle angle, therefore it is 95 degrees.
Answer:
D. right 4, down 8
Step-by-step explanation:
The usual transformations applied to functions are ...
f(x) ⇒ f(x -h) . . . . translation right h units
f(x) ⇒ f(x) +k . . . . translation up k units
f(x) ⇒ k·f(x) . . . . . vertical scaling by a factor of k; reflection over x-axis when k < 0
f(x) ⇒ f(x/k) . . . . . horizontal scaling by a factor of k; reflection over y-axis when k < 0
In the above, "scaling" will be expansion when |k| > 1, compression when |k| < 1.
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Your transformation is ...
x^2 ⇒ (x -4)^2 -8
f(x) ⇒ f(x -4) -8
This is translation with h=4 and k=-8. That is, it is translation right 4 units and down 8 units.
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<em>Additional comment</em>
Like much of math, it is all about matching patterns.
First, let's multiply 86.50 by 20 since she deposited $86.50 each month for 20 months.
86.50 * 20 = $1,730
Now, we have to divide this by 24.50 * 20 to find how much out of her $1,730 that she used on singing lessons.
24.50 * 20 = $490
Subtract how much she used for singing lessons from her total amount.
1,730 - 490 = $1,240
Finally, we multiply the amount she has left by 1/4 to find out how much she spent on her summer camp. We can also do this by multiplying 1,240 by 0.25 since 0.25 = 1/4.
1,240 * 0.25 = $310
So, Molly spent $310.00 on her summer camp.
Hope this helped!
Answer:
11
Step-by-step explanation:
5(2+4)-(2+3^3)
=5(8)-(2+27)
=40-29
=11
To work out the volume of a prism, you multiply the area of cross-section by the height (or length).
So for a cylinder, you work out the area of the circle and then multiply it by the height.
Area of circle (or cross-section) = π × radius²
= π × 0.7²
= 0.49π m²
Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:
Volume = 0.49π × 1.5
= 2.3 m³ (accurate to 2 decimal places)
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Answer:
The maximum volume of rainwater the cylinder can hold is:
<u> </u><u>2.3 </u><u>m³</u>
