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3 years ago

3 times the sum of 1/3 of a number and 8 is 11

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

I guess this is how to do it....

3×(1/3 of x + 8)=11.

use the 3 to multiply the numbers in the bracket.

3x+24=11.

3x=11-24.

3x=-13.

x= -13/3.

x= -4.33.

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Trigonometry:

Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

A = 0.05 radians,
BC = height of building and
AB = 2 km = 2000 m

<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

r = radius and
Ф = angle in radians

<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

L = BC,
r = AB and
Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0

3 years ago

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hou

Strike441 [17]

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 61, \sigma = 4$

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{65 - 61}{4}$

$Z = 1$

4 0

3 years ago

30/50 of earth atomospere is made up nitrogen while only 21/100 is made up of oxygen what fraction of earth atmosphere is either

lara31 [8.8K]

Answer:

81/100 of the atmosphere consists of those two elements

Step-by-step explanation:

3/5+21/100 > 81/100

3 0

3 years ago

$126 to $150 find the percent change

IgorLugansk [536]

Initial cost = $126
Final cost = $150
Then
Amount of change = (150 - 126) dollars
   = 24 dollars
Then
Percentage change = (24/126) * 100
   = 2400/126 percent
   = 19.05 percent
So from the above deduction we can easily conclude that the percentage change is 19.05%. I hope the procedure is simple enough for you to easily understand. You can generally use this method for solving similar kind of problems in future without requiring any kind of help from outside.

8 0

4 years ago

Read 2 more answers

(c) Find a solution of the differential equation that satisfies the initial condition y(1) = 5. (d) Find a solution of the diffe

jonny [76]

Answer:

Step-by-step explanation:

8 0

3 years ago