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3 years ago

31.8 miles/hr= ? Feet/sec

1 answer:

6 0

1 mi = 5280 ft
1 h = 3600 s

therefore:

$31.8\ \dfrac{mi}{h}=31.8\cdot\dfrac{5280}{3600}\ \dfrac{ft}{s}=46.64\ \dfrac{ft}{s}$

Answer: 31.8 mi/h = 46.64 ft/s

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20. what us the area of the figure:

Varvara68 [4.7K]

If the angle in B is 45º, that means the angle in A is also going to be 45º, considering it's a right triangle, so AC and BC are they have the same length.
Then using Pythagoras, you'll get that $AC^{2} + BC^{2}$ equals $AB^{2}$ .
Now, you know that AC=BC and that AB=24.
So you'll get $2AC^{2} =24^2$ . You do the square root in both sides and you get that 2AC=24 and AC=12.

Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus will be the height)

And so the area is equal to 72.

8 0

3 years ago

An architect is a person who designs buildings. Why is it important for an architect to be able to calculate the area and perime

Aleks04 [339]

Answer:

I've already answered :) Please give Brainliest ;)

Step-by-step explanation:

4 0

3 years ago

Physicians at a clinic gave what they thought were drugs to 860 patients. Although the doctors later learned that the drugs were

Alexus [3.1K]

Answer:

Z=2.36

P=0.0091

Step-by-step explanation:

The hypothesis is:

π > 0.55 which is the population proportion

The formula to get the test statistic is

Zstat = P-π/√π(1-π)/n

P =507.4/860 = 0.59 (sample proportion )

n =860 (sample size)

π =0.55(population porportion)

Zstat = 0.59-0.55/√0.55(1-0.55)/860

Zstat =2.36

From Z table the probability of Z score of 2.36 is 0.9909

To calculate for P- value will then be

P= 1 - 0.9909

P= 0.0091

4 0

3 years ago

For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun

Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate the Curl F

Remember that:

Curl F = < $\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}$ >

1. Curl F = <0,0,5-5> = <0,0,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3x^{2} +5xy + 5y^{2}$

Then F is conservative

2. Curl F = < 0, 0 ,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3/2x^{2} -y^{2}+z$

Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

= <0 ,0 , 10 +3xsin(y) + cos(y)<

How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>

The potential function f so that ∇f=F

f(x,y,z) = $x^{3}+(5/3)y^{3}+(5/3)z^{3}$

Then F is conservative

5 0

3 years ago

Melissa has three different positive integers. she adds their reciprocals together and gets a sum of 1. what is the product of h

madreJ [45]

First let us assign the three positive integers to be x, y, and z.

From the given problem statement, we know that:

(1/x) + (1/y) + (1/z) = 1

Without loss of generality we can assume x < y < z.

We know that:

1 = (1/3) + (1/3) + (1/3)

Where x = y = z = 3 would be a solution

However this could not be true because x, y, and z must all be different integers. And x, y, and z cannot all be 3 or bigger than 3 because the sum would then be less than 1. So let us say that x is a denominator that is less than 3. So x = 2, and we have:

(1/2) + (1/y) + (1/z) = 1

Therefore

(1/y) + (1/z) = 1/2

We also know that:

(1/4) + (1/4) = (1/2)

and y = z = 4 would be a solution, however this is also not true because y and z must also be different. And y and z cannot be larger than 4, so y=3, therefore

(1/2) + (1/3) + (1/z) = 1

Now we are left by 1 variable so we calculate for z. Multiply both sides by 6z:

3z + 2z + 6 = 6z

z = 6

Therefore:

(1/2) + (1/3) + (1/6) = 1

so {x,y,z}={2,3,6}

8 0

3 years ago