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sergiy2304 [10]
2 years ago
12

What is the length of the diagonal d, of the rectangular prism shown below? Round to nearest tenth

Mathematics
1 answer:
babymother [125]2 years ago
3 0

Answer:

5

Step-by-step explanation:

The diagonal is the length which is 5

solution

5 to the nearest tenth is 6

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What is the probability that a point chosen at random in the given figure will be inside the smaller square?
Aliun [14]
I have to interpret that:

1) the smaller square has side length = 3 cm

2) the bigger square has side length = 5 cm

3) the smaller square is completely inside the bigger square.

4) the points cannot be outside the bigger square



Under those assumptions the probability that a point is inside the smaller square  is

P (inside the smaller square) = area of the smaller square / area of the bigger square

P (inside the smaller squere) = (3cm)^2 / (5cm)^2 =  9 / 25


Answer: 9 / 25
8 0
3 years ago
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sveta [45]

Answer:

Households without a vehicle were not surveyed. D

Step-by-step explanation:

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6 0
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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
Which expression can be used to find the difference of the polynomials? (4m – 5) – (6m – 7 2n) (4m – 5) (6m 7 2n) (4m – 5) (–6m
Ivenika [448]
Here you go hope this helps

4 0
2 years ago
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xenn [34]
6:$9
Multiply both by 2 (because 12/6=2)
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3:7
Multiply both by 2 (because 14/7=2)
And get 6:14

6:3
Multiply both by 8 (48/6=8)
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6 0
2 years ago
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