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Flauer [41]
3 years ago
13

Can someone explain and tell the answer please

Mathematics
1 answer:
Alchen [17]3 years ago
7 0

Answer:

d. 22 cm²

Step-by-step explanation:

4*3+2*5= 22 cm² = option d

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Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. Y = 1x, y = 1,
Goryan [66]

The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.

Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is

π (radius) (height) = π (1/y)² ∆y = π/y² ∆y

and the volume of a stack of n such disks is

\displaystyle V_n = \sum_{i=1}^n \pi {y_i}^2 \Delta y

where y_i is a point sampled from the interval [1, 5].

As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,

\displaystyle V = \lim_{n\to\infty} V_n = \int_1^5 \frac{\pi}{y^2} \, dy

V = -\dfrac\pi y\bigg|_{y=1}^{y=5} = \boxed{\dfrac{4\pi}5}

8 0
2 years ago
On Thursday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers sold
yuradex [85]

Answer:

252 Cheese Bugers were sold on Thursday

Step-by-step explanation:

378 divided by 3=126

126+126= number of hamburgers

126= number of chese bugers

126+126=252

3 0
3 years ago
Sam scored 59, 64, and 68 on three tests. How many points should he get on the fourth test to get an average score of 70? A. 63.
olga2289 [7]
To find this out the easy way, add up all the numbers and an answer, then divide by 4.
59 + 64 + 68 + 63.67 = 254.67
254.67/4 = 63.66
A is not correct.
59 + 64 + 68 + 65.25 = 256.25
256.25/4 = 69.25
B is not quite correct.
59 + 64 + 68 + 75 = 266.
266/4 = 66.5
C is not correct.
59 + 64 + 68 + 89 = 280
280/4 = 70.
D.) is the correct answer.
I hope this helps!
6 0
3 years ago
Read 2 more answers
Similarities transformations​
Keith_Richards [23]

Answer:

Similarity. A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure. ... In general, similarity transformations

3 0
3 years ago
What is the measurement of xyz? a. 45 b. 145 c. 135 d. 55
Alekssandra [29.7K]

Answer:

135

Step-by-step explanation:

180- 45= 135

6 0
3 years ago
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