this is the graph to my last question

Answer:

15.25 cm²

Step-by-step explanation:

Step 1: find the width of the rectangle, AE.

[tex] cos(60) = \frac{EA}{8} [/tex]

[tex] 8*0.5 = EA [/tex]

[tex] 4 = EA [/tex]

[tex] EA = 4 cm [/tex]

Step 2: Find the area of the rectangle

[tex] Area_{rectangle} = length * width = 8*4 = 32 cm^2 [/tex]

Step 3: Find the area of the sector.

Take π as 3.14

[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 [/tex]

[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 = 16.75 cm^2 [/tex]

Step 4: Find the area of the shaded region.

Area of shaded region = [tex] Area_{Rectangle} - Area_{sector} = 32 - 16.75 = 15.25 cm^2 [/tex]

Answer: 2^6

Step-by-step explanation:

First, when we have:

x^n

this means that we are multiplicating x by itself n times.

Now, in this case we have:

6 factors of 2 would mean that we have:

(2)*(2)*(2)*(2)*(2)*(2)

2 multiplied by itself 6 times.

This is equal to:

(2)*(2)*(2)*(2)*(2)*(2) = 2^6

Answer:

(-4+8) ÷ 2 = 2

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Answer:

right angles and supplementary

Answer:

[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]

Step-by-step explanation:

Given:

Right ∆ABC

AB = 61

BC = 60

AC = 11

Required:

Value of tan A in radical form

SOLUTION:

[tex] tan(A) = \frac{opposite}{adjacent} [/tex]

Opposite = 60

Adjacent = 11

[tex] tan(A) = \frac{60}{11} [/tex]

[tex] tan(A) = \frac{\sqrt{4*15}}{11} [/tex]

[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]

Answer:

¼ hours or 15 minutes

Step-by-step explanation:

let the time it will for laura to catch up with Tony be 't'

Distance = speed × time

Distance corvered by Laura in time (t) = Distance corvered by Tony in time (t) + Distance between Tony and Laura

6×t = 4×t + ½

6t = 4t + ½

2t = ½

t = ¼ hours or 15 minutes

BRAINLIEST PLEASE

Answer:

15 minutes

Step-by-step explanation:

Let Tony is running x distance when Laura catch up him.

Then Laura is running x + 0.5 miles distance .

This motion takes the t time.

Using the equation of the motion ,

s = ut

s - Distance u - velocity t - Time

For Tony's motion

x = 4 × t --------*

For Laura's motion

x + 0.5 = 6 × t ------**

** - * --->

x + 0.5 - x = 6t - 4t

0.5 = 2t

t = 0.25 hours

t = 15 minutes

Answer:

5041

Step-by-step explanation:

Hence the least number that should be subtracted from 5045 to make it a perfect square is 4 . So the perfect square number is = 5045 - 4 = 5041

Answer:

the 3'd power

Step-by-step explanation:

4x4=16 16x4=64

Answer:

[tex]\Huge \boxed{\mathrm{3}}[/tex]

Step-by-step explanation:

Let the power be x.

[tex]\mathrm{4^x=64}[/tex]

Take log of both sides.

[tex]\mathrm{log(4^x)=log(64)}[/tex]

[tex]\mathrm{x \cdot log(4)=log(64)}[/tex]

Divide both sides by log(4).

[tex]\displaystyle \mathrm{x=\frac{log(64)}{log(4)} }[/tex]

[tex]\mathrm{x=3}[/tex]

Answer:

12.5 kilograms

Step-by-step explanation:

Given:

Half of the granola served with breakfast.

Let the amount of Granola present initially = [tex]x[/tex] kg

Half of it ([tex]\frac{x}{2}[/tex]) served with breakfast, so remaining granola :

[tex]x-\dfrac{x}{2} = \dfrac{x}{2}[/tex]

After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.

First of all, let us convert it to kilogram because the answer is required in Kilograms.

We know that:

1000 gms = 1 kilograms

1 gms = 0.001 kilograms

6250 gms  = 6250 [tex]\times[/tex] 0.001 = 6.250 kilograms

Now, as per given question statement:

[tex]\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}[/tex]

So, the answer is:

Girl scout camp started with 12.5 Kilograms of granola.

Answer:

5     3

6     4

4     2

Step-by-step explanation:

Answer: Hi!

The value of the variable is 11.

The angles will be equal, as the lines intersect and make an X. To find the value of the angle, we would first subtract 2 from 35 and then divide by 3 to fill in the expression.

35 - 2 = 33

33 ÷ 3 = 11

The value of x is 11.

Hope this helps!

Answer:

8 hours 37.

800x8= 6400

800x 0.5 (or 30 mins) = 400

6400+400= 6800

one 5th of an hour = 12 minutes.

Answer:

40

Step-by-step explanation:

94 + 125 - 17 / 5

Answer:

Step-by-step explanation:

let the rate of travel of bicycle=x m/h

rate of travel of motor scooter=2x+2

time taken by motor scooter to travel 12 mi=12/(2x+2) hrs.

time taken by bicycle to travel 5 mi=5/x

as time is same

[tex]\frac{12}{2x+2}=5/x\\12x=5(2x+2)\\12x=10x+10\\12x-10x=10\\2x=10\\x=10/2=5\\rate~ of~ travel~ of~bicycle=5 m/h\\rate~ of~ travel~ of~ motor~ scooter=2x+2=2 \times 5+2=12 ~m/h[/tex]

Answer:

11.9 in.

Step-by-step explanation:

√142=11.9in

Mike: From the school to the mall, we could count out 16 units. From the mall to the library, we could count out 29 units. When we add 16 and 29, we get the distance Mike traveled: 45 units.

Henry: He traveled from the school to the library. To find out how long this distance is, we look at our previous numbers. From the school to the mall: 16. From the mall to the library: 29

To solve, we need to know the Pythagorean Theorem. We use the formula a^2 + b^2 = c^2. Here, 16 is a and 29 is b. We need to square both numbers and add them together to get c^2.

[tex]16^2=256\\29^2=841\\256+841=1097\\1097=c^2[/tex]

Then, we have to square 1097 to find c.

√1097 ≈ 33

Total: We subtract Henry's distance from Mike's to get our final answer.

45 - 33 = 12

Mike traveled 12 more units than Henry.

Answer:

x = {-5, -⅓}

Step-by-step explanation:

[tex]3 {x}^{2} + 16x + 5 = 0[/tex]

[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]

[tex]3x(x + 5) + 1(x + 5) = 0[/tex]

[tex](x + 5)(3x + 1) = 0[/tex]

[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]

[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]

====================================================

Explanation:

Add the minutes for now

55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes

The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.

Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes

This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.

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

Now convert 3:45 PM to military time. We add 12 hours to get 15:45

Subtract off 5 minutes to get 15:40

Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM

Answer:

Each team has 8 players. That means that the x players will be separated into x / 8 teams.

Hope this helps!

Answer:

y= ½ x + 5

Step-by-step explanation:

[tex] (-4,3) \: (6,8). \\ x_1 = - 4 \\ y_1 = 3 \\ x_2 = 6[/tex]

[tex]y_2 = 8 \\ \frac{y - y_1}{x - x_1} = \frac{y_2 -y_1}{x_2 - x_1} [/tex]

[tex] \frac{y - 3}{x - ( - 4)} = \frac{8 - 3}{6 - ( - 4)} = \frac{y - 3}{x + 4} = \frac{5}{10} [/tex]

[tex]10(y - 3) = 5(x + 4) \\ 10y - 30 = 5x + 20 \: \\ 10y = 5x + 20 + 30 = 10y = 5x + 50 \\ [/tex]

[tex] \frac{10y}{10} = \frac{5}{10} x + \frac{50}{10} \\ y = \frac{1}{2} x + 5[/tex]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line can be written as y = (1/2)x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

To write the equation of the line, we need to firstly find the slope of the equation. Therefore, the slope of the equation can be written as,

Slope = (8 -3)/[6 - (-4)] = 5/10 = 1/2

Now, substitute the value of the slope and the any point in the general equation of a line. Therefore, we can write,

y = mx + c

8 = (1/2)(6) + C

8 = 3 + C

C = 5

Hence, the equation of the line can be written as y = (1/2)x+5.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ5

Answer:

[tex] \sqrt[5]{a^{3} b^{2}c}[/tex]

Step-by-step explanation:

Rationalization factor of [tex] \sqrt[5]{a^2 b^3 c^4} [/tex]

[tex] = \sqrt[5]{a^{5-2} b^{5-3}c^{5-4}}\\

= \sqrt[5]{a^{3} b^{2}c^{1}}\\

= \sqrt[5]{a^{3} b^{2}c}\\ [/tex]

Answer:

Below

Step-by-step explanation:

The end behavior of a function is how it grows when it reaches both plus and - infinity.

To do that we will calculate:

● lim h(x) x=> +infinity = lim-4x+4 x=> +inf = lim -4x x=> +inf

-4 is negative so the limit will be -infinity

● lim (-4x+4) x=> -inf = lim (-4x) x=> -inf

-4 is negative, x is negative then -4x is positive. So the limit will be + inf

Answer:

16m²

25m²

9m²

Step-by-step explanation:

4 × 4 = 16m²

5 × 5 = 15m²

3 × 3 = 9m²

Answer:

[tex]2xy-5xz+x[/tex]

Step-by-step explanation:

I'm going to assume you wanted to multiply these terms.

To do this, we distribute [tex]x[/tex] into each term in the parentheses.

[tex]2y \cdot x = 2xy\\\\-5x \cdot x = -5xz\\\\1 \cdot x = x[/tex]

Combining these terms, we get [tex]2xy-5xz+x[/tex].

Hope this helped!

Answer:D

Step-by-step explanation:

Answer:

x - 1 a n d - 2 x ^ 2 - 9 x - 7

Answer:

Answer C: Reflecting over the line y = x

Step-by-step explanation:

A function and its inverse have always symmetry around the line y = x (called also the identity line)

Therefore answer C seems to be the only answer that addresses such.

Answer:

-1/8

Step-by-step explanation:

Convert 1/4 into 2/8.

Then, minus -3/8 and 2/8

Answer:

-3/8 + 1/4 = 1/8

Step-by-step explanation:

-3/8 + 1/4

1/4 = 2/8

then:

2/8 - 3/8 = -1/8

Answer: Light blue

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2\$ on \:each \:game\\10\$ on food\\Let \:x \:be the \:no \:of \:games \:he \:plays\\\\2x +10\\Must\: be \:less\: than\: or \:equal \:to\: 25\$\\\\= 2x+10\:\le 25[/tex]