Square root of 9/16

In some country the budget for defense exceeded the budget for education by $660.4 billion. If x represents the budget for edu

photoshop1234 [79]

Answer:

<u>The budget for defense can be represented as x + 660.4</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Budget for education is $ 660.4 billion less than budget for defense in some country

x = represents the budget for education, in billion of dollars

2. How can the budget for defense be represented?

x = represents the budget for education, in billion of dollars

x + 660.4 = represents the budget for defense, in billion of dollars also

<u>The correct answer is that the budget for defense can be represented as x + 660.4</u>

5 0

3 years ago

Identify which of the following is most appropriate: discrete random variable, continuous random variable, or not a random varia

liraira [26]

Answer:

A.) Continuous random variable ;Not a random variable ; Discrete random Variable ; Continuous random variable ; discrete random variable

Step-by-step explanation:

Identify which is most appropriate category for the sample data given below :

a. Exact weights of the next 100 babies born in the United States

This is a continuous random varibake as it could take up any value including decimals in other to specify the exact weight of an individual.

b. Responses to the survey question "Which political party do you prefer?"

Not a random variable as the outcome to this question isn't numerical.

c. Numbers of spins of roulette wheels required to get the number 7

This is a discrete random variable as the number of roulette spins would be a whole number within a specified fic range.

d. Exact foot lengths of humans

Continuous random variable

The exact foot length of human would vary greatly and in a bid to give an exact value, foot length will most definitely take up decimal values

e. Shoe sizes (such as 8 or 8½) of humans.

This is also a discrete random variable as shoe sizes are restricted to a specific range. Even with the inclusion of 1/2 in the measurement, there are no values inbetween (8 and 8 1/2) which will be the same for the remaining value range.

5 0

2 years ago

If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

$\sin 2A = 2\cdot \sin A\cdot \cos A$ (4)

$\csc 2A = \frac{1}{\sin 2A}$ (5)

$f(A) = \sin 2A + \csc 2A$

$f(A) = \sin 2A + \frac{1}{\sin 2A}$

$f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}$

$f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}$

If we know that $\sin A \approx 0.382$ and $\cos A \approx 0.924$ , then the value of the function is:

$f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}$

$f(A) = 2.122$

8 0

3 years ago

Find the surface area of the regular pyramid

kicyunya [14]

Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area

Pyramid Surface Area = (.5 * 56 * 11) + 14 * 14Pyramid Surface Area = 308 + 196Pyramid Surface Area =504 square millimeters

Source:http://www.1728.org/volpyrmd.htm

5 0

3 years ago

Please help me there is a picture right there

seraphim [82]

Answer:

90 mm^2

Step-by-step explanation:

split into two rectangles.

First rectangle: 5 x 6 = 30 mm^2

Second rectangle: 10 x 6 = 60 mm^2

30 + 60 = 90 mm^2

3 0

3 years ago

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