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konstantin123 [22]

3 years ago

8

• The total rise of a set of stairs is 81.125". If there are 11 risers, what is the height of

1 answer:

patriot [66]3 years ago

3 0

Answer:

7.375".

Step-by-step explanation:

That would be 81.125 / 11

= 7.375 ".

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Can someone help me here pls thanks!

vesna_86 [32]

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0

2 years ago

In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 6 day peri

liubo4ka [24]

Answer:

The margin of error that corresponds to a 95% confidence interval is 4.96.

Step-by-step explanation:

We have the standard error(which is the same as the standard deviation of the sample), so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. There are 6 days, so

df = 6 - 1 = 5

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{0.975}$ ). So we have T = 2.5706

The margin of error is:

M = T*s = 2.5706*1.93 = 4.96

The margin of error that corresponds to a 95% confidence interval is 4.96.

3 0

4 years ago

Suppose quantity s is a length and quantity t is a time. Suppose the quantities v and a are defined by v = ds/dt and a = dv/dt.

finlep [7]

Answer:

a) $v = \frac{[L]}{[T]} = LT^{-1}$

b) $a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

c) $\int v dt = s(t) = [L]=L$

d) $\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

e) $\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

Step-by-step explanation:

Let define some notation:

[L]= represent longitude , [T] =represent time

And we have defined:

s(t) a position function

$v = \frac{ds}{dt}$

$a= \frac{dv}{dt}$

Part a

If we do the dimensional analysis for v we got:

$v = \frac{[L]}{[T]} = LT^{-1}$

Part b

For the acceleration we can use the result obtained from part a and we got:

$a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

Part c

From definition if we do the integral of the velocity respect to t we got the position:

$\int v dt = s(t)$

And the dimensional analysis for the position is:

$\int v dt = s(t) = [L]=L$

Part d

The integral for the acceleration respect to the time is the velocity:

$\int a dt = v(t)$

And the dimensional analysis for the position is:

$\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

Part e

If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got:

$\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

7 0

3 years ago

Solve for x. 8/9x=32 Enter your answer in the box. x =

lorasvet [3.4K]

Answer:

x = 36

Step-by-step explanation:

Given;

(8/9)x = 32

Solving for x

Multiply through by 9

(8/9)×9 ×x = 32×9

8x = 32×9

Divide through by 8

8x/8 = 32×9/8

x = 36

6 0

3 years ago

Joel is fertilizing an irregularly shaped garden, as shown. The grid has squares with side lengths of 1 m. Estimate the area of

Citrus2011 [14]

Answer:

$3.00

Step-by-step explanation:

3 0

3 years ago