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2 years ago

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Mathematics

1 answer:

ANTONII [103]2 years ago

8 0

Answer:

19 orders of tea

57 orders of collee

Step-by-step explanation:

find 1/4 of the 76

76/4=19

multiply by 3

19x3=57

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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

natima [27]

The table answers for the first equation are
-5.5
-3
-.5
2
3.5
The table answers for the second equation are
16
8
4
0
-4

8 0

3 years ago

The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please

Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

$S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx$

We let the substitution take place.

Therefore, we let $u = 1 + 4x^{2}$

Thus, $du = 8dx.$

So,

$xdx = \frac{1}{8}du$

Also, the interval of the integration changes to [ 37, 65]

Thus,

$S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx$

= $\frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} } }$

= 156.5 units²

8 0

2 years ago

Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

8 0

2 years ago

Choose an online tool or paper to create an icon by transforming the shape according to the rule T(0, 3) ∘ Rℓ(△CDE).

creativ13 [48]

Answer:

Step-by-step explanation:

6 0

1 year ago

If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help

e-lub [12.9K]

Answer:

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

4 0

2 years ago