jen is thinking of a number. the product of this number and 3.4 is 176.8. find jens number.

[tex]\huge \boxed{\sf 26\sqrt{2}\ cm } \\\\\\\sf Using\ trigonometric\ functions \\\\\displaystyle cos \theta = \frac{adj}{hyp} \\\\cos(60)=\frac{adj}{52} \\\\adj=cos(60) \times 52=26 \\\\Using\ the\ Pythagorean\ theorem \\\\x=\sqrt{26^2+26^2} =26\sqrt{2}[/tex]

The simplified form of the given expression is 1/25.

The given expression is [tex]\frac{5^{-6} }{5^{-4} }[/tex].

We need to simplify the given expression.

The exponent of a number shows how many times the number is multiplied by itself. The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered major exponents rules to be followed while solving exponents.

Using quotient law [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex].

Now, [tex]\frac{5^{-6} }{5^{-4} }[/tex] can be written as [tex]\frac{5^{4} }{5^{6} }[/tex]

By using the quotient rule, we get [tex]\frac{5^{4} }{5^{6} }=5^{4-6}[/tex]

[tex]=5^{-2}=\frac{1}{5^{2}}[/tex]

=1/5×5=1/25

Therefore, the simplified form of the given expression is 1/25.

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Step-by-step explanation:

[tex]cos \: x = \frac{a}{h} \\ cos \: x = \frac{16}{21} = 0.76 \\ cos \: x = 40.36degrees[/tex]

Answer:  The correct option is (B) [tex]16x+9=4x.[/tex]

Step-by-step explanation:  We are given to select the correct equation that could be used to solve the following equation :

[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the correct equation, we need to simplify the given equation (i).

From equation (i), we get

[tex]9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.[/tex]

Thus, the required equation is [tex]16x+9=4x.[/tex]

Option (B) is CORRECT.

Answer:

{x | x R, x > −5}

Step-by-step explanation:

x - 5 > -10

+ 5 + 5

__________

x > −5

I am joyous to assist you anytime.

The solution is, 308π in² is the surface area of the cylinder in terms of pi.

Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

from the given diagram , we get,

the cylinder has,

radius = r = 7

height = h = 15

we know that,

Surface Area = 2πr² + 2πrh

so, we get,

r = 7

h = 15

substituting the values, we get,

Surface Area

= 2π(7)² + 2π(7)(15)

= 308π in²²

Answer: 308π in²

Hence, The solution is, 308π in² is the surface area of the cylinder in terms of pi.

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Answer:

6 millimeters

Explanation:

The standard deviation is the square root of the variance.

Since the variance is 36, the standard deviation would be

√36 = 6

Answer:6

Step-by-step explanation:

The length of the side of the base is 6 units.

The volume of the pyramid is;

[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base[/tex]

The pyramid shown below has a square base, a height of 7, and a volume of 84.

Substitute all the values in the formula

[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base\\\\\rm84 =\dfrac{1}{3}\times height \times 7\\\\Height = \dfrac{84\times 3}{7}\\\\ Height = \dfrac{252}{7}\\\\Height =36[/tex]

The length of the side of the base is;

[tex]\rm Side\ length^2=height\\\\ Side\ length^2=36\\\\Side\ length^2=6^2\\\\Side\ length=6[/tex]

Hence, the length of the side of the base is 6 units.

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Answer:

i think the answer is C.

GOOD LUCK!!!

The angles of parallelogram are 40°, 140°, 40°, 140°.

A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.

For the given situation,

One angle of parallelogram = 40°

Let the unknown angle be 'x'

The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.

⇒ [tex]40+x=180[/tex]

⇒ [tex]x=140[/tex]

The opposite interior angles are equal.

Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.

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Subtract 3 from each side

y - 3 = 2x

Divide through by 2

y/2 - 3/2 = x

or x = y/2 - 3/2

Now simply switch labels: x↔y

y = x/2 - 3/2

The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic and so on. Polynomials can also be classified based on number of terms.

The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).

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Answer:x=90 °

Step-by-step explanation:

In any circle the exterior angle formed is half of the major arc - minor arc .

Angle formed by tangents or secants = [tex]\frac{1}{2}(Major arc - minor arc )[/tex]

The sum of measure of arcs inany circle is 360°.

Minor arc is given as x°.So Major arc = 360-x.

Substituting the given values in the formula :

[tex]x=\frac{1}{2}(360-x-x)[/tex]

[tex]x=\frac{1}{2}(360-2x)[/tex]

x=180-x

Adding x both sides we have:

2x=180.

Dividing both sides by 2.x= 90.