Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
2)
1459
712
b
b
र
45°
a
X
3)
D)
X
у
45 6/3
459
912
X
x

Answer:

17.1

Step-by-step explanation

a^2+b^2=c^2

2^2 + 17^2 = c^2

4 + 289 = c^2

293 = c^2

square root of 293 or 17.1

12.8mm

[tex]0.1\times2^7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left\{2^7\right.=2\times2\times2\times2\times2\times2\times2\\ =0.1\times128\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\left.\ 128\right\}\\ =12.8mm[/tex]

I hope this helps you

:)

Answer:

C = [tex]\frac{963}{92}[/tex]

Step-by-step explanation:

given A varies directly as B and inversely as C then the equation relating them is

A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation

to find k use the condition A = 6 , B = 10 , C = 15 , then

6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )

90 = 10k ( divide both sides by 10 )

9 = k

A = [tex]\frac{9B}{C}[/tex] ← equation of variation

when A = 92 and B = 107 , then

92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )

92C = 963 ( divide both sides by 92 )

C = [tex]\frac{963}{92}[/tex]

Answer:

C = 963/92

Step-by-step explanation:

Given :

Finding the constant of variation, k

Finding C

The probability that Shayla will select two red marbles from the bag is 1/16.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that Shayla will select two red marbles  = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)

5/20 x 5/20 = 1/16

To learn more about probability, please check: https://brainly.com/question/13234031

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Answer:

  6. ∠GHJ ≅ ∠GIJ = 73°

  10.  ∠Q = 89°, ∠R = 123°, ∠S = 91°

Step-by-step explanation:

The relations applicable to these problems are ...

Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.

__

The missing arc measure GJ is ...

  68° +31° +115° +GJ = 360°

  GJ = 360° -214° = 146°

Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...

  ∠GHJ ≅ ∠GIJ = 146°/2 = 73°

__

∠Q intercepts arc PSR, which is shown as ...

  arc PSR = arc PS +arc SR

  arc PSR = 137° +41° = 178°

The measure of angle Q is half this:

  ∠Q = (1/2)×arc PSR = 178°/2 = 89°

__

∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:

  ∠R = 180° -57° = 123°

__

∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:

  ∠S = 180° -89° = 91°

Answer:

176cm

400 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:

Using formula:

→ 32 = 2(x + 2 + x)

→ 32 = 2(2x + 2)

→ 32 = 4x + 4

→ 32 - 4 = 4x

→ 28 = 4x

→ 28/4 = x

→ 7 = x

Hence,

Now,

→ Area of rectangle = Length × Width

→ Area fo rectangle = 9 × 7

→ Area of rectangle = 63 feet²

Answer:

⠀

Step-by-step explanation:

⠀

⠀

So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .

⠀

Now,

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]

⠀

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]

⠀

Now, we are to find the area of the rectangle :

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]

⠀

Therefore,

⠀

[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]

[tex]16 - 25 \times 8[/tex]

[tex]16 - 200[/tex]

[tex] - 184[/tex]

Hello!

Let's evaluate this expression.

4²-5²×2³

4²=16

16-5²×2³

5²=25

16-25×2³

2³=8

16-25×8

According to PEMDAS, the next operation is multiplication (M)

16-200

Subtract:

-184

Hence, the simplified expression is equal to

[tex]\boxed{\boxed{\bold{-184}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

Number 1 is b

I found the answer on a website

Answer:

The x side is multiplying four each time to get the y side example 2x4=8 and so on

The equation would be x x 4= y

So hope this helps

The equation that represents the proportional relationship from the table is y=4x.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given table is

x     y

2    8

3    12

7    28

Here, we can see when x increases y value also increases.

So, x and y are directly varies

Now, y∝x

y=kx -----(i)

k=y/x

k=8/2

k=4

Substitute k=4 in equation (i), we get

y=4x

Therefore, the equation that represents the proportional relationship from the table is y=4x.

To learn more about the proportional relationship visit:

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The number of friendship bracelets Gabrielle can make is 20 bracelet

1 feet = 12 inches

12 feet = 144 inches

Number of colors of floss = 6

Quantity of each floss = 12 feet = 144 inches

Total quantity of floss = 6 × 144

= 864 inches

Quantity of each floss used for bracelet = 7 1/5 inches

Total floss used for each bracelet = 6 × 7 1/5

= 6 × 7.2

= 43.2 inches

Number of bracelet Gabrielle can make = Total quantity of floss ÷ Total floss used for each bracelet

= 864 ÷ 43.2

= 20 bracelet

Learn more about conversion of feet to inches:

https://brainly.com/question/384660

Answer:

D

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

Answer:

  a. positive

  b. negative

  c. zero

  d. negative

Step-by-step explanation:

You want a description of the sign of the slope of a graph of ...

The slope of a graph is the "rise" divided by the "run." Generally, we choose the direction of "run" to be to the right, so the "rise" will be positive when the graph shows an increasing value, and it will be negative when the graph shows a decreasing value. When the rise is zero (the value is neither increasing nor decreasing), the slope is zero.

A graph of the volume of water in a filling tub will show it starts at some low value and increases over time. Generally such a graph will have volume on the vertical axis, and time on the horizontal axis. Since the volume is increasing, the slope is positive.

As a hot drink cools, its temperature decreases. The graph of temperature will generally be drawn with temperature on the vertical axis, and time on the horizontal axis. Since the temperature is decreasing, the slope will be negative.

We presume there is no process going on that is changing the number of light bulbs in the string of lights, so the value is constant. It is neither increasing nor decreasing, so the slope of its graph will be zero.

If we presume your cell phone is not connected to a charger while it is streaming video for you, then we can assume the power in the battery is decreasing. The slope of the graph of battery power will be negative.

(If the phone is connected to a charger, the slope may be zero or positive, depending on the power output of the charger. One of my phone chargers is "low power," so the battery power does not increase unless the phone is turned off (not playing video).)

Check the picture below.

Answer:

Step-by-step explanation:

8 pounds of flour = 5 dollars

1 pound of flour = x

Cross multiply

8x = 1*5              Divide by 8

8x/8 = 5/8

5/8 = 0.625

Therefore x = 0.625 dollars will buy 1 pound of flour.

Rounded x = 0.63

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

Answer:

-9

Step-by-step explanation:

b={-2,3)

c=(3,-1)

dot product b.c

=(-2×3) + (3×-1)

=-6+(-3)

=-6-3

=-9

Answer:

3D shape = cone

height = 3 units

diameter = 6 units

Step-by-step explanation:

3D shape = cone

height = 5 - 2 = 3 units

radius = 0 - (-3) = 3 units

diameter = 2 × radius = 2 × 3 = 6 units

The equation of the ravine function is an illustration of a quadratic function

It will take 1.5 seconds for the music player to fall to the bottom of the ravine

The equation of the function is given as:

[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]

Take the square of both sides

t² = (8t + 24)/16

Multiply both sides by 16

16t² = 8t + 24

Divide through by 8

2t² = t + 3

Set the equation to 0

2t² - t - 3 = 0

Expand the equation

2t² + 2t- 3t - 3 = 0

Factorize the equation to 0

2t(t + 1)- 3(t + 1) = 0

Factor out t + 1

(2t- 3)(t + 1) = 0

Expand

2t- 3 = 0 or t + 1 = 0

Solve for t

t= 1.5 or t =- 1

Time cannot be negative.

So, we have:

t = 1.5

Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine

Read more about quadratic functions at:

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Answer:

(i) 41-45 mins

(ii) 40 mins

(iii) 75 workers

(iv) Rs10500

Step-by-step explanation:

(i)  The modal class is the class with the highest frequency.

Therefore, from inspection of the frequency table, the modal class is 41-45 mins since if has the highest frequency of 14.

(ii) As the data is grouped, to find an estimate of the mean, assume that every worker takes the value of the class mid-point.  As the data is discrete, there are gaps between the classes, and so we also have to use lower and upper class boundaries to calculate the mid-points.

Class 21-25 : lower 20.5 | upper 25.5 | mid-point 23

Class 26-30 : lower 25.5 | upper 30.5 | mid-point 28

Class 31-35 : lower 30.5 | upper 35.5 | mid-point 33

Class 36-40 : lower 35.5 | upper 40.5 | mid-point 38

Class 41-45 : lower 40.5 | upper 45.5 | mid-point 43

Class 46-50 : lower 45.5 | upper 50.5 | mid-point 48

Class 51-55 : lower 50.5 | upper 55.5 | mid-point 53

Class 56-60 : lower 55.5 | upper 60.5 | mid-point 58

Mean = (sum of frequency x class mid-point) ÷ total frequency

⇒ Mean = (2 x 23 + 5 x 28 + 7 x 33 + 10 x 38 + 14 x 43 + 8 x 48 + 3 x 53 + 1 x 58) ÷ 50

⇒ Mean = 40 mins

(iii)  8 hours = 8 x 60 = 480 mins

Total time ÷ average time to make one doll = 480 ÷ 40 = 12

If the mean time to make a doll is 40 minutes, then one person can make 12 dolls in 8 hours.

Therefore, to calculate the number of workers required to make 900 dolls in 8 hours, divide the total number of dolls needed by 12:

900 ÷ 12 = 75

So 75 workers will be needed to make 900 dolls in 8 hours, given the mean time for a worker to make a doll is 40 mins.

(iv) Overtime is paid in excess of 6 hours.  Therefore, each worker will be working 2 hours overtime.

Total amount of overtime pay = hours x rate x workers

                                                  =  2 x Rs70 x 75

                                                  = Rs10500

Answer: 65 degrees

            Using the property of vertical angles, the measurement of angle x is going to be 65 degrees.

            Single angle x is directly opposite of the 65° angle given, we can figure out what angle x will be as they will be congruent.

By using the Vertical Angle Theorem, we can say

   --> x = 65

Answer:

0, π

Step-by-step explanation:

cos x sin x = sin x

cos x sin x - sin x = 0

sin x (cos x - 1) = 0

sin x = 0, x = 0, π

cos x - 1 = 0

cos x = 1, x = 0

So answers: 0, π

Answer: It is a connected series of line segments such as the image shown below.

Hope this helps!

Answer:

A. Nonlinear function

Step-by-step explanation:

It is not a linear function because :-

Answer:

I will help you.

but first what is the problem

give brainliest

Answer:

Help you with what??

whats the question????

I don't think this is wrong

The price of the pen and the erasers Raphael and his friend bought are GHC 3 and GHC 1 respectively.

let

x = price of pen

y = price of erasers

The equation

8x + 9y = 33

5x + 6y = 21

48x + 54y = 198

45x + 54y = 189

48x - 45x = 198 - 189

3x = 9

x = 9/3

x = 3

substitute into (1)

8x + 9y = 33

8(3) + 9y = 33

24 + 9y = 33

9y = 33 - 24

9y = 9

y = 9/9

y = 1

How to solve simultaneous equation:

https://brainly.com/question/16863577

Answer:

Solve the following equation

Step-by-step explanation:

You need to make an equation of this

Let x be the number of computers made

1600 × x = (950 × x) + 211250

When both sides are equal, that is the break even

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

Learn more about recipes in: https://brainly.com/question/1320828

Answer:

1/6

Step-by-step explanation: