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2 years ago

What is 6x3/7 as a mixed number?

Mathematics

1 answer:

Anastaziya [24]2 years ago

6 0

<span>6x3/7
6 x 3=18\7
answer=2 4\7</span>

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

3 years ago

A building with a height of 6 m casts a shadow that is 8 m long while a taller building casts a 24 m long shadow. What is the he

Firdavs [7]

Answer:

I am pretty sure it is 22m

Step-by-step explanation:

minus 2

8 0

2 years ago

In a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted o

Maksim231197 [3]

Answer:

324

Step-by-step explanation:

given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"

i.e. Sample proportion $p=0.74\\q =1-p =0.26\\$

Margin of error = 4% = 0.04

Confidence level =90%

Z critical value for 90% = 1.645

Margin of error = 1.645 * std error

Hence std error = $\frac{0.04}{1.645} \\=0.0243$

Std error is also equal to

$\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.74(0.26)}{n} } =0.0243\\\sqrt{n} =18..05\\n = 325.83~324$

Sample size should be 324.

The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2

3 0

3 years ago

Convert the equation you found, T = A3/2, into a form without any rational exponents.

solniwko [45]

Y = mx + bDomainAll the X values in a functionRange<span>All the Y values in a function</span>

6 0

2 years ago

Read 2 more answers

During the financial crisis of 2008, the price of a barrel of Brent crude oil fell a high of $140 per barrel to around $50 per b

Andrei [34K]

Answer:

decrease of 64.3%

Step-by-step explanation:

Percentage change can be calculated from ...

pct change = ((new value)/(original value) -1) × 100%

= (50/140 -1) × 100%

= (-9/14)×100% = -64 2/7% ≈ -64.3%

The price of crude fell about 64.3% in that period.

7 0

3 years ago