The diagnoal of a tv is 26 inches long . assuming that this diagonal forms a pair of 30 -60 - 90 right triangles , what are the exact length and width of the tv?

Answer:

8√3

Step-by-step explanation:

Let a, b = the positive numbers, and the sum = s,

(1)---- ab = 192

(2)--- a + b = s

Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,

From (1), b = 192/a

Substitute b = 192/a into (2),

s = a + 192/a

Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:

1) find dy/dx

2) Find x from dy/dx = 0

ds/da = 1 - 192/a²

When ds/da = 0,

1 - 192/a² = 0

a² = 192

a = ±√192

a = 8√3 , -8√3

Since a is positive, a = 8√3

Substitute a into (1),

b = 192/(8√3)

b = 8√3

Therefore, the two positive numbers are 8√3... and 8√3

Answer:

1) 69/81 (indirect probability)

2) not asked a question (indirect probability)

3) 1/4 (indirect)

4) 75% (indirect)

Step-by-step explanation:

1) 45+24/12

2) Doesn't ask a question

3) 2 are white females so 2/8=1/4

4) 45%+30%

I hope this okay and correct

Answer:

Slope of parallel line:[tex]-1\frac{3}{5}[/tex]

Slope of perpendicular line: [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Because parallel lines have equal gradients, but perpendicular lines have gradients which equal to -1 when multiplied.

Hope it helps:)

Answer:

Slope of parallel line:[tex]-1\frac{3}{5}[/tex]

Slope of perpendicular line: [tex]\frac{5}{8}[/tex]

The function is f(x) = x³ − 4x² + 2.

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

As,

Slope = rise/ run

Given:.

f(x) = x³ − 4x² + 2

As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation.

slope= d/dx [f(x)]

slope= d/dx  ( x³ − 4x² + 2)

slope=  3x² - 8x

slope= 3* 3* 3 -8*3

slope= 27-24

slope= 3

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Answer:

0.72 meters

Step-by-step explanation:

by dividing 6.48 by 9, we get 0.72 meters

Answer:

here

Step-by-step explanation:

Answer:

Step-by-step explanation:

A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]

[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]

OR    [tex]tanx=4\\[/tex]

B)

[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]

Answer: 12-2r

Step-by-step explanation:

3r+12-5r

= -2r+12 or 12-2r

Answer:

-2r + 12

Step-by-step explanation:

simplify 3(r + 4) - 5r

3(r + 4) - 5r <== distribute first

3(r) + 3(4) - 5r

3r + 12 - 5r <== combine like terms

-2r + 12 <== final answer

Hope this helps!

Answer:    12    x    15= 180 cuadrados

juas juas juas 180  +   180  = 360


15 x 15 cm = 360

Step-by-step explanation:

Answer:

Its [tex]2,700cm^{2}[/tex]

Ste,p-by-step explanation:

The value of the expression such that a and b are integers is 1/9

An exponential function is a mathematical function in the form y = ab^x

Given the indices expression

[tex]\frac{(9\frac{1}{2} )^b}{3^a}[/tex]

This can be simplified as:

[tex]=\frac{(3^{2*\frac{1}{2}} )^b}{3^a}\\=\frac{3^b}{3^a}[/tex]

According to the law of indices, the expression will becomes;

[tex]\frac{3^b}{3^a} =3^{b-a}[/tex]

Recall that a - b = 2, such that b - a = -2. Substitute into the result to have:

[tex]\frac{3^b}{3^a} =3^{b-a}\\3^{b-a}=3^{-2}\\3^{b-a}=1/9[/tex]

Hence the value of the expression such that a and b are integers is 1/9

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Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

1.) 1169

2.) 7

3.) 167 students/year

4.) 1879

5.) 1879+167t

6.) 4050

Step-by-step explanation:

1.) Find the difference between the number of students in 2002 and 2009:

[tex]3382-2213=1169[/tex]

2.) Find the difference in the years:

[tex]2009-2002=7[/tex]

3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.

[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]

4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.

[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]

5.) Taking the equation above, and changing it to match the requirements, we get:

[tex]P = 1879+167t[/tex]

6.) Now find the difference between 2013 and 2000, and substitute for t to get:

[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]

Answer:

3120 think

Step-by-step explanation:

i just did 3x8x10x13

Answer:

How many computers does my family own?

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data - Tasks

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

Answer:

  D:  y = 3x

Step-by-step explanation:

The relationship shown is a proportion. The only "unknown" is the constant of proportionality, the slope of the line. That is most easily found by looking for the value of y that corresponds to the value x=1.

__

This graph shows that 1 song costs $3, so the equation is ...

  y = 3x

Answer:

[tex]3+2k[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]

Answer:

3 + 2k

Step-by-step explanation:

Given that:

⅕ (15+10k)

Using the distributive property which is:

a × (b + c) = a × b + a × c

Which also means: Remove Parentheses

Thus we have:

⅕ (15+10k)

⇒ ⅕ × 15+⅕ ×10k

⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅

⇒ 3 + 2k

Hence, the answer to equivalent expression is 3 + 2k.

Kavinsky

Answer:

A.  1/2.

Step-by-step explanation:

After the odd digit is taken out there are 8 digits left,

and of these 4 are even so

the answer is 4/8 = 1/2.

Hideki recognizes a $17,490.06 revenue.

Given that on January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent, to determine how much revenue does Hideki recognize on January 1, 2022 the following calculation must be made:

Therefore, Hideki recognizes a $17,490.06 revenue.

Learn more about revenue in https://brainly.com/question/14695611

Answer:

Hideki recognizes a $17,490.06 revenue.

Step-by-step explanation:

Answer:

5/6 x 1 = 5/6 2/3 x 2= 4/6. 5/6 is greater than

2/3

Step-by-step explanation:

find a common denominator then see which one has more value

1 mile per every 15 minutes

or 4 mph

Answer:

B. 2[tex]\pi[/tex]r  

Step-by-step explanation:

[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]

Answer: 11/4

Step-by-step explanation: no need :”)

Answer:

7 1/5

Step-by-step explanation:

12x3/5=36/5.

The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have to Multiply 12•3/5

i.e. 12 * 3 /5

= (12*3 )/5

=36/5

now, as we have to express it as a mixed number,

we get,

36/5 = 7 1/5

Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

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Answer:

B. 34 inches

Step-by-step explanation:

its 34 inches because you do 46x2 because of the two sides and you will get 92. Then subtract 92 from 160 to find out the other side and you will get 68. Then do 68÷2 because you have to find the other side and you will get 34

Sum of two interior angles=Exterior angle

Answer:

16 should be the correct answer