Use >, <, or = to solve the following problems below.
(6^2)____(-6^2)
-5____ |-5|
0.372×1,000____37.2×100
(will mark brainliest)​

The measure of the side PR in PQR is 8.07 units and the measure of angle J in JKL is 35.30 degree.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Applying cos law in the triangle PQR:

[tex]\rm PR = \sqrt{5^2+9^2-2(5)(9)cos63}[/tex]

PR = 8.07 units

Applying sin law in the triangle, JKL:

[tex]\rm Angle \ J = sin^{-1}[sin 52 \ (\dfrac{11}{15})][/tex]

Angle J = 35.30 degree

Thus, the measure of the side PR in PQR is 8.07 units and the measure of angle J in JKL is 35.30 degree.

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Answer: POR NADA

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

Answer:

50

Step-by-step explanation:

since the Pythagorean theorem is

[tex]c=[/tex] √[tex]a^2+b^2[/tex]

b is the bottom line (48)

a is the right line (14)

c is the top line (c)

plug that in

[tex]c =[/tex] √[tex]14^2 + 48^2[/tex]

then do the exponets

[tex]14^2[/tex] = 14 * 14 = 196

[tex]48^2[/tex] = 48 * 48 = 2304

then add them together

196 + 2304 = 2500

[tex]c =[/tex] √2500

the sqrt of 2500 is 50 (50 * 50 = 2500)

c = 50

your answer is 50

hope this helps:)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = {14}^{2} + {48}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = \sqrt{196 + 2304} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = \sqrt{2500} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 50 \: units[/tex]

Answer:

$332.64

Step-by-step explanation:

Since we are applying a discount to a price tag, we will be decreasing the amount of that price tag.

In this case, we will be taking 20% off of $415.80. This means that our new price tag will be 80% of what it originally was. To find the answer, we must first change 80% into a decimal.

80% ->  [tex]\frac{80}{100}[/tex] -> 0.980

Next, we multiple $415.80 by 0.80 as shown below:

[tex]415.80(0.80)[/tex]

Our answer will be:

$332.64

This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality  4x − 5 < 19 since 6 is excluded

Inequalities are equation not separated by an equal sign

Given the inequality expression

4x − 5 ≤ 19

4x ≤ 19 + 5

4x ≤  24

x≤ 6

This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality  4x − 5 < 19 since 6 is excluded

Given the equation

4x + 3 = 23

4x = 23 - 3

4x =20

x = 5

Hence 5 is the solution from the given set

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[tex]\displaystyle \dfrac{\dfrac{4c^2-36}{8c^2-24c}}{\dfrac{12c+36}{2c^2 -6c}}\\\\\\=\left(\dfrac{4c^2 -36}{8c^2 -24c}\right) \cdot \left(\dfrac{2c^2 -6c}{12c+36}\right)\\\\\\=\left[\dfrac{4(c^2 -9)}{8(c^2-3)}\right]\cdot\left[\dfrac{2(c^2-3)}{12(c+3)}\right]\\\\\\=\dfrac{8(c^2-3^2)}{8 \cdot 12(c+3)}\\\\\\=\dfrac{(c+3)(c-3)}{12(c+3)}\\\\\\=\dfrac{c-3}{12}[/tex]

[tex]\text{Hence the answer is d.}[/tex]

Answer:

d

Step-by-step explanation:

separate the 2 divisions and simplify each , that is

[tex]\frac{4c^2-36}{8c^2-24c}[/tex] ← factor numerator/ denominator

= [tex]\frac{4(c^2-9)}{8c(c-3)}[/tex] ← factor difference of squares on numerator

= [tex]\frac{4(c-3)(c+3)}{8c(c-3)}[/tex] ← cancel (c - 3) and 4/8 on numerator/ denominator

= [tex]\frac{c+3}{2c}[/tex]

---------------------------------------------------

[tex]\frac{12c+36}{2c^2-6c}[/tex] ← factor numerator/ denominator

= [tex]\frac{12(c+3)}{2c(c-3)}[/tex] ← cancel 12 and 2 on numerator/ denominator

= [tex]\frac{6(c+3)}{c(c-3)}[/tex]

----------------------------------------------------------

to divide the top fraction by the lower fraction

leave top fraction, change division to multiplication, turn lower fraction upside down.

[tex]\frac{c+3}{2c}[/tex] × [tex]\frac{c(c-3)}{6(c+3)}[/tex] ← cancel (c + 3) and c on numerator/ denominator

= [tex]\frac{c-3}{2(6)}[/tex]

= [tex]\frac{c-3}{12}[/tex] → d

The density of the gold substance is 3.53 g/cm^3

The density of a substance is the degree of compactness of a substance and it can be determined by the ratio of the mass of the substance to volume.

Mathematically, the density can be computed as:

[tex]\mathbf{Density = \dfrac{mass}{volume}}[/tex]

[tex]\mathbf{Density = \dfrac{14.12 \ g}{4 \ cm^3}}[/tex]

Density = 3.53 g/cm^3

Therefore, we can conclude from the above calculation that the density of the gold with a mass of 14.12 grams and a volume of  4 cubic centimeters is 3.53 g/cm^3.

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Answer:

A 3.53 g/cm^3 if it not a it still 3.53g/cm^3

Step-by-step explanation:

If d is the common difference between consecutive terms, then

[tex]a_4 = a_3 + d = a_2 + 2d[/tex]

We have [tex]a_2 = 64[/tex] and [tex]a_4 = 100[/tex], so

[tex]a_4 - a_2 = 100 - 64 = 36 = 2d \implies d = 18[/tex]

Then the 1st term in the sequence is

[tex]a_2 = a_1 + d \implies 64 = a_1 + 18 \implies a_1 = 46[/tex]

and the n-th term would be

[tex]a_n = a_1 + (n-1) d \implies a_n = 46 + 18 (n-1) \implies \boxed{a_n = 18n + 28}[/tex]

Answer:

Because 1/10 is less than 10

Step-by-step explanation:

10 is 100 times greater than 1/10

[tex]\frac{10}{1/10} =100[/tex]

Hope this helps

Answer:

close countess

Step-by-step explanation:

remember that the sign has to be postive so just change all the signs ,  then,   you'll have a leading coefficient of  +1,  in front of the [tex]x^{2}[/tex],  the 5 is in front of the 2nd term,  they were just trying to trick you with that.   the last answer is good     :)

You are given a vector in the XY plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. The direction of the vector V is;

We know that the formula for 2 vectors like this in the x and y directions is; A = xi^ + yj^

Where A is the magnitude of the resultant

x is the value of the x-component

y is the value of the y-component

We are given;

Magnitude of vector = 84 units

Y-component of the vector = -67 units

Thus,

[tex]A = \sqrt(x^2 + y^2)\\\\87 = \sqrt(x^2+ (-66)^2)\\\\87^2= x^2+ 4356\\\\7569 = x^2+ 4356\\\\x= \sqrt(7569 - 4356)\\\\x = 56.68 units[/tex]

From A above, let us take the positive value of the x-component and as such our original vector will be;

A = 56.68i^ - 66j^

The direction of the vector V is;

[tex]\theta = tan^{-1} \dfrac{y}{x} \\\\\theta = tan^{-1} \dfrac{-66}{56.68} \\\theta =-27.15°[/tex]

Since it points entirely to the negative x-axis, then the angle is;

180 - (-27.15) = 207.15°

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The horizontal and vertical axes of a graph can have any names you like. If the independent variable represents something in particular, the horizontal axis is usually named so as to indicate that.

A coordinate system is a system in geometry that uses one or more integers, or coordinates, to determine the position of points or other geometric components in a unique way.

The horizontal and vertical axes of a graph can have any names you like. If the independent variable represents something in particular, the horizontal axis is usually named so as to indicate that. In a graph of distance versus time, for example, the independent variable is likely to be time, and the horizontal axis is likely to be named something that suggests that--"t," for example, or perhaps "days".

It is fairly convenient to use "x" to name a general independent variable. The corresponding dependent variable in a two-variable relation is conventionally called "y". The horizontal axis in x-y graphs is usually labelled "x" and is called the "x-axis."

This convention is sufficiently well-used that we often call the horizontal number line of the graph the "x-axis" even if it is labelled something else.

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Answer:

= 0,16m

Step-by-step explanation:

we are given the ratio there the 2 is for the image 9 is for the car so we say 9 divide by 11 multiply by 0,2

Answer:

Yes

Step-by-step explanation:

The horizontal line on a graph is the x axis and the "C" appears to be on the horizontal line therefore the answer would be x-axis

reasons its not the other answer choices

Y axis is the vertical line

Origin is where the two axis cross

Quadrant 1 may appear where C is however the C is pointing to the X axis

Answer:

6

Step-by-step explanation:

first, we start with 2 dozen = 2 * 12 = 24 cookies

next, cole eats 2/3 of the cookies

2/3 of the cookies = 2/3 * 24 = 16

we are then left with

original # - # of cookies cole ate = 24 - 16 = 8

next, jim eats 1/4 of the cookies left

cookies left = 8

1/4 of cookies left = 1/4 * 8 = 2

cookies left - cookies jim eats = cookies still in jar = 8 - 2 = 6

To solve this problem, we can to simply plot using a graphing tool and the region under the area would be given. We would see there's no solution for this compound inequality

The given inequalities in this question are

When we plot this, we would see that no solution exists for this compound inequality problem.

Kindly check the attach image for more details.

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Answer:

Step-by-step explanation:

jfift

Answer:

1/428

Step-by-step explanation:

There are 428 pages,

Each page likely to be turned onto as equally as every other page,

and there is one possible correct page.

Answer:

2x + 10 = x

Step-by-step explanation:

Let him mows x

Robert mows

Answer:

17s

Step-by-step explanation:

Note: an expression is NOT an equation

"Product" means the answer to a multiplication of two numbers.

You are asked to write the answer to 17 and s being multiplied together.

The product is therefore

17 x s = 17s

Since the pivot pillar is 1 m above the ground, maximum angle can the seesaw beam move is 26.39°

The maximum angle can be gotten using trigonometric ratios answer the question,

Trigonometric ratios are the ratios of the sides of a triangle.

Angles are a measure of rotation or bearing.

Given that the seesaw plank is 4.5 m long and the pivot pillar is 1 m above the ground, when the seesaw is at maximum angle, it forms a right angled triangle with the ground.

It also forms a smaller similar triangle with the same maximum angle Ф which is gotten from the trigonometric ratio

sinФ = h/L where

So, Ф = sin⁻¹(h/L)

= sin⁻¹(1 m/2.25 m)

= sin⁻¹(1/2.25)

= sin⁻¹(0.4444)

= 26.39°

So, maximum angle can the seesaw beam move is 26.39°

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Step-by-step explanation:

i got confused whether it is 7/2 or /2-1

Answer:

m = 3

Step-by-step explanation:

see image.

6/8 = 3/4

Use the picture in the problem or use algebra to find m. See image.

Area of three rectangles

Area of two triangles

Total

Answer:

389.1 units² (nearest tenth)

Step-by-step explanation:

Regular polygon: all side lengths are equal, all interior angles are equal.

Apothem: a line drawn from the center of any polygon to the midpoint of one of the sides

Radius: a line drawn from the center of the polygon to a vertex.

Therefore, we have been given the apothem of this regular dodecagon.

[tex]\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}[/tex]

where:

[tex]\textsf{Length of apothem (a)}=\dfrac{l}{2 \tan\left(\frac{180^{\circ}}{n}\right)}[/tex]

where:

First, calculate the length of one side of the regular dodecagon by substituting a = 11 and n = 12 into the apothem formula:

[tex]\implies 11=\dfrac{l}{2 \tan\left(\frac{180^{\circ}}{12}\right)}[/tex]

[tex]\implies l=11 \cdot 2 \tan\left(\frac{180^{\circ}}{12}\right)[/tex]

[tex]\implies l=44-22\sqrt{3}[/tex]

Now substitute n = 12, the found value of l, and a = 11 into the area formula:

[tex]\implies \textsf{Area}=\dfrac{12(44-22\sqrt{3})(11)}{2}[/tex]

[tex]\implies \textsf{Area}=389.0622274...[/tex]

[tex]\implies \textsf{Area}=389.1\: \sf units^2 \: (nearest\:tenth)[/tex]

Answer:

389.1 square units

Step-by-step explanation:

Area of the Dodecagon (12-sided polygon)

Area Formula

Finding the length (l)

Apothem Formula

Finding Area

Answer:

Rational

Step-by-step explanation:

All fractions are rational numbers but it is not necessary that all rational numbers are fractions.

Have a nice day! :)

6540 g

Convert kilograms (kg) into grams (g) by multiplying the amount of kilograms (kg) by 1000 :

[tex]\boxed{\rm{6.45\:kg\:\:\:\:\:\:\:}}[/tex]  times 1,000 --> [tex]\boxed{\rm{6540\:g\:\:\:\:}}[/tex]

[tex]\Large\text{6540\:g}[/tex]

[tex]\small\text{hope\:helpful~}[/tex]

Check the picture below.

so hmm if we look at the cone straight from the front and check a cross-section of it, it'd look like the cross-section of the right-hand-side of the picture.

Now, with the cylinder having radius "r" and height "h", those two triangles we see in greenish color are similar, thus we can use proportions to correlate "h" and "r", so let's do that.

[tex]\cfrac{2.5-h}{r}~~ = ~~\cfrac{h}{5.5-r}\implies 13.75-5.5h-2.5r+rh=rh \\\\\\ 13.75-2.5r=5.5h\implies \boxed{\cfrac{13.75-2.5r}{5.5}=h}[/tex]

now, let's plug that in the volume of the cylinder's equation

[tex]V(r)=\pi r^2\cdot \cfrac{13.75-2.5r}{5.5}\implies V(r)=\cfrac{\pi }{5.5}(13.75r^2-2.5r^3) \\\\\\ \cfrac{dV}{dr}=\cfrac{\pi r(27.5-7.5r)}{5.5}\hspace{5em}0~~ < ~~r ~~ < ~~ 2.5[/tex]

now, our "r" variable can't be 0 or 2.5, as the cylinder tiptoes up and down, because if that ever happens, our cylinder's volume goes poof.

[tex]0=\cfrac{\pi r(27.5-7.5r)}{5.5}\implies 0=27.5-7.5r\implies 7.5r=27.5 \\\\\\ r=\cfrac{27.5}{7.5}\implies r=\cfrac{11}{3}[/tex]

the way I do region testing for the 1st derivative, is I usually grab the critical point and subtract hmm say 0.0000001 from it and put it in a variable in my calculator, then I add 0.0000001 to it and put it in another variable, then I use that variable in the 1st derivative calculation.  Anyhow, doing so and running a 1st derivative test, we'd see that the region to the left of 11/3 is positive whilst the region to the right is negative, as you can see in the picture at the bottom, yielding a maximum extremum, r = 0 is another critical point but as we noticed the constraints is out of bounds, so not in consideration.

so V(r) is at a maximum when r = 11/3

[tex]\blacksquare~~ r=\cfrac{11}{3} ~~\blacksquare \hspace{5em} \cfrac{13.75-2.5\left( \frac{11}{3} \right)}{5.5}=h~\hfill \implies ~\hfill \blacksquare~~ \cfrac{5}{6}=h ~~\blacksquare[/tex]

Answer:

The rule is +2

This is the 194th term

Step-by-step explanation:

This is an arithmetic sequence because 2 is added every time.

2x + 1 = 389

2x = 388

x = 194

194* 2 + 1 = 389

mark brainliest please!

Answer:

398 i think

Step-by-step explanation:

Answer:

750 mL

Step-by-step explanation:

Unit Conversion Rate

Solving

Answer:

750

Step-by-step explanation:

.75 x 1000 = 750

multiply volume value by 1000

hope this helps!