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2 years ago

Cheryl made a scale drawing of a square table

Mathematics

1 answer:

VLD [36.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

In the story of the park in a tornado tornado in a park in a sunny area with the earth in a sunny moon and sunny moon of sunny sunny day sunny sunny days a day after a tornado hit a tornado warning to a sunny moon in a tornado park and the tornado tornado was destroyed in a tornado warning warning to a deadly tornado tornado it was a rando story

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Find the base and height of a rectangle with vertices (-4,7), (-2,7), (-2,1), and (-4,1).

Salsk061 [2.6K]

Answer:

The height is 6 unit

The base is 2 units.

Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

3 0

2 years ago

Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating about the y-axis the region under the curve y = 1

velikii [3]

Using the shell method, the volume is given exactly by the definite integral,

$2\pi\displaystyle\int_0^1x(1+9x^3)\,\mathrm dx$

Splitting up the interval [0, 1] into 5 subintervals gives the partition,

[0, 1/5], [1/5, 2/5], [2/5, 3/5], [3/5, 4/5], [4/5, 5]

with left and right endpoints, respectively, for the $i$ -th subinterval

$\ell_i=\dfrac{i-1}5$

$r_i=\dfrac i5$

where $1\le i\le5$ . The midpoint of each subinterval is

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}{10}$

Then the Riemann sum approximating the integral above is

$2\pi\displaystyle\sum_{i=1}^5m_i(1+9{m_i}^3)\frac{1-0}5$

$\dfrac{2\pi}5\displaystyle\sum_{i=1}^5\left(\frac{2i-1}{10}+9\left(\frac{2i-1}{10}\right)^4\right)$

$\dfrac{2\pi}{5\cdot10^4}\displaystyle\sum_{i=1}^5\left(16i^4-32i^3+24i^2+1992i-999\right)=\frac{112,021\pi}{25,000}\approx\boxed{14.08}$

(compare to the actual value of the integral of about 14.45)

3 0

3 years ago

Simplify: (3) + (-4)

nikitadnepr [17]

Answer:

it should -1 because you have to evaluate the number

3 0

2 years ago

Nicole and adam are each saving money for a car. the total amount of money nicole will save is represented by the function f (x)

Yakvenalex [24]

For this case we have the following functions:
f (x) = 36 + 4x
g (x) = x2 + 15
By matching both functions we have:
f (x) = g (x)
36 + 4x = x2 + 15
Rewriting we have:
x2 + 15 - 4x - 36 = 0
x2 - 4x - 21 = 0
Solving the polynomial we have:
(x-7) (x + 3) = 0
x = -3
x = 7
Taking the positive root we have:
x = 7
Answer:
They will have the same amount of money saved after:
x = 7 weeks

8 0

3 years ago

Read 2 more answers

Can someone help me with this?

JulijaS [17]

Answer:

19.53

Step-by-step explanation:

First let's find the new price of the backpack:

40% of 29.99 is

29.99 * 0.40 = 11.99

So the new price of the backpack is

29.99 - 11.99 = 18.00

Now let's find the price with tax

8.5% of 18.00 is

18.00 * 0.085 = 1.53

So the cost of the backpack is

18.00 + 1.53 = $19.53

8 0

3 years ago

Read 2 more answers