2. Write an equation that can be used to find M-Angle M. Then Solve it. Round to the nearest degree​

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where,

[tex]s=\dfrac{a+b+c}{2}[/tex]

Each pieces measuring 48cm,48cm, and 30cm. So,

[tex]s=\dfrac{48+48+30}{2}[/tex]

[tex]s=\dfrac{126}{2}[/tex]

[tex]s=63[/tex]

Area of one triangular piece is:

[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]

[tex]A=\sqrt{63(15)(15)(33)}[/tex]

[tex]A=\sqrt{467775}\text{ cm}^2[/tex]

[tex]A\approx 683.9408\text{ cm}^2[/tex]

Area of 10  triangular pieces is:

[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]

The rate is 5 paisa per square cm. So, the total cost is:

[tex]6839.408\times 5=34197.04[/tex]

Therefore, the total cost is 34197.04 paisa.

Answer:

Ax + By = C is standard form.

y + 1 = (2/3)(x - 8)

distribute the (2/3)

y + 1 = (2/3)x - (16/3)

Multiply each term by 3 to clear the fractions.

3y + 3 = 2x - 16

Subtract 2x from both sides.

-2x + 3y + 3 = - 16

Subtract 3 from both sides.

-2x + 3y = - 19

Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.

2x - 3y = 19

Step-by-step explanation:

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

got it right on edge

Answer:

[tex](x+2)^{2}[/tex] + [tex](y+9)^{2}[/tex] = 100

Step-by-step explanation:

Standard Equation of a Circle

[tex](x-h)^{2}[/tex] + [tex](y-k)^{2}[/tex] = [tex]r^{2}[/tex]

(h,k) = center of circle

r = radius of circle

Substitute in given. Watch the negatives.

Step-by-step explanation:

[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]

Square both sides of the equation.

[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]

[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation:

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

Answer:

The answer is 192 bestie btw im a freshmen

Step-by-step explanation:

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

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Answer:

wouldn’t it just be 21? because both are the same but mirrored

Answer:

Amanda's box holds more popcorn.

Amanda's box holds 70 m³ more than Mary's.

Step-by-step explanation:

Find the volume of both boxes.

13.5 x 10 x 10 = 1350.

20 x 8 x 8 = 1280.

As clearly shown, Amanda's box holds more popcorn.

To find how much more, subtract 1,280 from 1,350 to get 70 m³.

Hope this helps!

If there is something wrong, please let me know.

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.

Answer:

$207

Step-by-step explanation:

We do 1242 / 6 = 207

It costs $207 for each family member.

Answer:

207 each

Step-by-step explanation:

Take the total cost and divide by the number of family members

1242 / 6

207 each

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

Step-by-step explanation:

The are of rectangle is 1300.5cm2

Answer:

Step-by-step explanation:

Ok

The lengths of the new triangle after dilation are; J'K' = 3; K'L' = 5.25 and L'J' = 6

When it comes to dilation in transformations, it could mean enlarging or reducing the triangle by a scale factor.

Now, we are given the lengths of the original triangle as;

JK = 6 units

KL = 10.5 units

LJ = 12 units

Thus, the dilation by a scale factor of 1/2 indicates a reduction. Thus, the new lengths after dilation are;

J'K' = (1/2) * 6 = 3

K'L' = (1/2) * 10.5 = 5.25

L'J' = (1/2) * 12 = 6

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Answer:

1.50000

.00022

1.50022

Step-by-step explanation:

The number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.

Given that, 22 ten-thousandths and [tex]1\frac{1}{2} =\frac{3}{2}[/tex].

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be the unknown number.

Now, x-22/10000 = 3/2

⇒ x-0.0022=1.5

⇒ x=1.5+0.0022

⇒ x=1.5022

Therefore, the number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.

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Answer:

yes you are write because when our results come with good marks and grade the we are motivate .

Step-by-step explanation:

thanks mark me brainlist

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Answer:

y=12

Step-by-step explanation:

14          10

----- =  --------

y+9         15

Using cross products

14*15 = 10 (y+9)

210 = 10(y+9)

Divide by 10

210/10 = 10(y+9)/10

21 = y+9

Subtract 9

21-9 = y

12 =y

Answer:

Maybe

Step-by-step explanation:

If there is a number in a equation, and you can add/subtract with your number, -8, then yes, otherwise, no.

Answer:

5

Step-by-step explanation:

this is probability

probability of 5 occuring once is = 5/42=0.119

therefore, probability of 5 occuring in 42 times is;

42 x 0.119=4.998

approximately 5

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:

4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733

Step-by-step explanation:

Answer:

8^50

Step-by-step explanation:

8^100 / 8^50

We know that a^b / a^c = a^(b-c)

8^(100-50)

8^50

Answer:

Step-by-step explanation:

Mass = volume * density

Mass  = 12*25 = 300 g

Answer:

300 g

Step-by-step explanation:

density = mass / volume

25g/cm^3 = mass / 12 cm^3

25 * 12 = mass

300 = mass

Answer: [tex]26.4\ \text{days}[/tex]

Step-by-step explanation:

Given

Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]

Initial amount [tex]A_o=2\ \text{days}[/tex]

Amount left at any time is given by

[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]

It takes 26.4 days to reach 2 gm.

Answer:

85 inches²

Step-by-step explanation:

Each triangle equals 15 inches

15(4)=60

Square= 5×5=25

60+25=85 inches²

Answer:

[(b/c)=0.15)]

Step-by-step explanation:

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

Work Shown:

P(B/C) = P(B and C)/P(C) ... conditional probability formula

P(B and C) = P(C)*P(B/C)

P(B and C) = 0.20*0.15

P(B and C) = 0.03

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

P(C/B) = P(C and B)/P(B) .... note the swap of B and C

P(C/B) = P(B and C)/P(B)

P(C/B) = (0.03)/(0.25)

P(C/B) = 0.12

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Extra notes: