1. Estimate the area of the irregular shape. Explain your method and show your work.

Step-by-step explanation:

First step:

Distance = 300km

Speed = 60km/hr

We know,

Using Speed = Distance ÷ Time

Time = Distance ÷ Speed

we have Total Time = 300÷60

Total Time = 5hr

Again,

Distance = 200km. (Time = 5hr,

Speed =? Distance = 200)

Speed = Distance÷ Time

= 200÷5

= 40km/hr

Answers:

Note: 3/4 = 0.75

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Explanation:

The first thing we need to do is solve that given equation for y

4x+3y = 3

3y = 3-4x

3y = -4x+3

y = (-4x+3)/3

y = (-4x)/3 + 3/3

y = (-4/3)x + 1

This last equation is in slope intercept form, y = mx+b, where,

These m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.

We'll focus on the slope.

Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.

This means the perpendicular slope is 3/4 and this value goes in the first box.

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

From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)

i.e. we have x = 5 and y = 3 pair up together.

Use that perpendicular slope we found earlier to say,

y = mx+b

3 = (3/4)*5 + b

3 = 15/4 + b

3 - 15/4 = b

12/4 - 15/4 = b

(12-15)/4 = b

-3/4 = b

b = -3/4 is the y intercept of the perpendicular line

Answer:

y = 3/4 x -3

Step-by-step explanation:

4 x + 3y = 3

3y = -4x + 3

y = -4/3x + 1

~~~~~~~~~~~~~~~~~~~~~~~

y = 3/4 x + b

3 = 3/4(5) + b

12 = 15 + b

B = -3

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, tangent.

Remember: SOH-CAH-TOA

From the angle, we know the opposite side and want to figure out the adjacent side. Therefore, we should use the tangent function.

tan(35) = 6/RS

RS = 6 / tan(35)

RS = 8.6

Hope this helps!

Answer:

the answer will be 44 I think I hoped I helped if not sorry.

Step-by-step explanation:

Solution :

[tex]$x=f(y) = \frac{e^y + e^{-y}}{2} , \ \ \ \ \ 0 \leq y \leq \ln 2$[/tex]

[tex]$\frac{dx}{dy} = \frac{e^y + e^{-y}}{2}$[/tex]

[tex]$\left(\frac{dx}{dy}\right)^2 = \frac{e^{2y} - 2 + e^{-2y}}{4}$[/tex]

[tex]$1+\left(\frac{dx}{dy}\right)^2 = 1+\frac{e^{2y} - 2 + e^{-2y}}{4} = \frac{e^{2y} + 2 + e^{-2y}}{4}$[/tex]

                  [tex]$ = \left(\frac{e^y + e^{-y}}{2}\right)^2$[/tex]

[tex]$\sqrt{1+\left(\frac{dx}{dy}\right)^2} = \sqrt{\left(\frac{e^y + e^{-y}}{2}\right)^2}=\frac{e^y + e^{-y}}{2}$[/tex]

[tex]$S = \int_{y=a}^b 2 \pix \sqrt{1+\left(\frac{dx}{dy}\right)^2 } \ dy$[/tex]

  [tex]$=\int_{0}^{\ln2} 2 \pi \left(\frac{e^y+e^{-y}}{2}\right) \left(\frac{e^y+e^{-y}}{2}\right) \ dy$[/tex]

  [tex]$=\frac{\pi}{2}\int_{0}^{\ln 2}(e^y+e^{-y})^2 \ dy = \frac{\pi}{2}\int_{0}^{\ln 2}(e^{2y}+e^{-2y}+2) \ dy $[/tex]

  [tex]$=\frac{\pi}{2} \left[ \frac{e^{2y}}{2} + \frac{e^{-2y}}{-2} + 2y \right]_2^{\ln 2}$[/tex]

  [tex]$=\frac{\pi}{2} \left[ \left(\frac{e^{2 \ln 2}}{2} + \frac{e^{-2\ln2}}{-2} + 2 \ln2 \right) - \left( \frac{e^0}{2} + \frac{e^0}{-2}+0\right) \right]$[/tex]

  [tex]$=\frac{\pi}{2}\left[ \frac{e^{\ln4}}{2} - \frac{e^{\ln(1/4)}}{2} + \ln 4 - \left( \frac{1}{2} - \frac{1}{2} + 0 \right) \right]$[/tex]

  [tex]$=\frac{\pi}{2} \left[\frac{4}{2} -\frac{1/4}{2} + \ln 4 \right]$[/tex]

  [tex]$=\frac{\pi}{2} \left[ 2-\frac{1}{8} + \ln 4 \right]$[/tex]

  [tex]$=\left( \frac{15}{8} + \ln 4 \right) \frac{\pi}{2}$[/tex]

Therefore, [tex]$S = \frac{15}{16} \pi + \pi \ln 2$[/tex]

Answer:

ofc its p/q

Step-by-step explanation:

Answer:

It works.

Step-by-step explanation:

11x≠42

So 42/11 is not a viable solution for x. All other real numbers work, so x=-5 is a solution.

Answer:

[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]

Step-by-step explanation:

sin x0= 7/9.4

sin x0= 0.745

x0 = sin^-1 0.745

x0= 48.2

Answer:

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is (0, 4)

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is (-1, 16/ 3)

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is (-9/ 2, 10)

Answer:

1600

Step-by-step explanation:

We can setup a ratio in terms of words per minute.

Mr. Brown can type 80 words in 2 minutes, so our ratio looks like this:

40:2

In order to find how many words he can type in 40 minutes, we must set the minutes side of our ratio to 40. In order to do that, we must multiply our minutes side by a factor that makes it equal 40, and then multiply the words side by the same factor. We can divide 40 by 2 to figure out the factor, which is 20. Since the factor is 20, we must multiply it by the words side to figure out how many words he types in 40 minutes, which is 20 · 80 = 1600 words.

Answer:

y = 5/2

Step-by-step explanation:

An inverse variation is of the form

xy = k where k is a constant

From the first pair of point

2*5 = k

10 = k

xy = 10

Using the second pair of points

4y = 10

Divide by 5

4y/4 = 10/4

y = 5/2

Answer:

4,3

Step-by-step explanation:

it went up two so i guess the other has to go down two?

Answer:

(-5, 3)

Step-by-step explanation:

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

[tex]2x+y=126.77[/tex]...(1)

[tex]x+2y=128.86[/tex] ....(2)

We have to find  the cost of each ticket.

Equation (1) multiply by 2 then we get

[tex]4x+2y=253.54[/tex]  .....(3)

Now, subtract equation (2) from (3)

[tex]3x=124.68[/tex]

[tex]x=124.68/3[/tex]

[tex]x=41.56[/tex]

Now, using the value of x in equation (2)

[tex]41.56+2y=128.86[/tex]

[tex]2y=128.86-41.56[/tex]

[tex]2y=87.3[/tex]

[tex]y=87.3/2=43.65[/tex]

Hence, cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Answer: 11/18          

1. Convert 0.5 to a fraction

5/10

5/10 simplifies to 1/2

2. Add 1/2 and 1/9 by finding a common denominator

Common deniminator is 18 (2*9=18, 9*2=18)

1/2=9/18

1/9=2/18

3. Add

9/18+2/18=11/18

4. The answer is 11/18

[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

the answer for the question is 14*10raise the power -6

4x+20

OPTION A is the correct answer.

Answer:

hey mate i don't think your question is complete anyways here is what i found and i hope it is useful .

Step-by-step explanation:

(if the below is the diagram then this might help.)

In the given triangle ABC shown in the figure ∠ABC = ∠ACB

Since angles are equal so opposite sides of equal angles will be equal.

Now mAB = mAC

By putting values in terms of x

2x = 3x - 7

x = 7

Now mAC = 3x - 7

By putting value of x = 7

mAC = 3×7 - 7 = 21 - 7 = 14

Therefore length of line segment AC is 14 units.

I hope this helps !!!!!!!!!!!!!!!!!!!

Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

Answer:

6.   A    5c + 3e + 2

7.   A    w = P/2 - 125

8.   D   point S

Step-by-step explanation:

6.

3 triangles + 5 hexagons + 2 squares =

= 3e + 5c + 2(1)

= 5c + 3e + 2

7.

perimeter = P

length = 250 m

width = w

P = 2L + 2W

P = 2(250) + 2w

2w = P - 500

w = (1/2)(P - 500)

w = (P - 500)/2

w = P/2 - 250

Incorrect expression: w =  P/2 - 125

8.

X = 5

Y = -25

X - Y = 5 - (-25) = 5 + 25 = 30

S = 30

Answer:

y = (√x/2) ± 2

Step-by-step explanation:

Here, we want to get the inverse of the given function

y = 2x^2 - 8

make x the subject of the formula

y + 8 = 2x^2

Divide through by 2

y/2 + 4 = x^2

x = √y/2 ± 2

Now switch place for x and y

y = (√x/2) ± 2

Answer:

d

Step-by-step explanation:

Answer:

y = -x -2

Step-by-step explanation:

-1 is the slope

-2 is the y-intercept

slope = [tex]\frac{-4-1}{2-(-3)}[/tex] = [tex]\frac{-5}{5}[/tex] = [tex]\frac{-1}{1}[/tex] = -1

Answer:

=2x-3 / x=5

=2(5)-3

=10-3

=7

Answer:

C. $21 (as well as B)

Step-by-step explanation:

→ $4.20 × $ 5.00 = ?

→ 4.20 × 5.00

→ 4.2 × 5.0

→ 21 {final answer}

Hence, option (C) is answer.

Answer:

q.4 's answer is d. miles

q.5 's answer is 3

q.6 's answer is 6

can you tell what the dot means i can tell you the other two's too

the first option would be the answer