Work out the area of the shape drawn below.
Give your answer correct to 2 decimal places.

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}[/tex]

2) Definition of Linear Pair:

[tex]m\angle PRS+m\angle SRT=180[/tex]

3) Given:

[tex]m\angle PRS=2x+12[/tex]

4) Given:

[tex]\displaystyle m\angle SRT=6x+8[/tex]

5) Substitution Property:

[tex](2x+12)+(6x+8)=180[/tex]

6) Combine Like Terms:

[tex]8x+20=180[/tex]

7) Subtraction Property of Equality (subtract 20 from both sides):

[tex]8x=160[/tex]

8) Division Properety of Equality (divide both sides by 8):

[tex]x=20[/tex]

9) Given (this step is optional. You don’t have to include this):

[tex]m\angle PRS=2x+12[/tex]

10) Substitution:

[tex]\displaystyle m\angle PRS=2(20)+12[/tex]

11) Multiplication:

[tex]m\angle PRS=40+12[/tex]

12) Addition:

[tex]m\angle PRS=52[/tex]

Answer:

sorry i dont realy understand that

Step-by-step explanation:

Answer:

is there free point. if is plz it shows nothing

Answer:

15

Step-by-step explanation:

Since it goes 30 in 2 seconds, we need to divide 30 and 2 and end up with 15.

To make sure our answer is correct we know that 15 is one second, so we can add 15+15= which will give us 30, and will also land at 2

Brainliest pls

The speed of the scooter is 15 feet per second.

To calculate the speed of the scooter in feet per second, you can use the formula:

Speed = Distance / Time

The distance traveled by the scooter is 30 feet, and the time taken is 2 seconds.

Plugging these values into the formula, we get:

Speed = 30 feet / 2 seconds

Speed = 15 feet/second

Therefore, the speed of the scooter is 15 feet per second.

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Answer: 201 feet

Step-by-step explanation:

It should be noted that 1 foot = 12 inches. Therefore, 36 inches = 36/12 = 3 feets.

Each cotton uses 3 feets in length. Therefore, 67 curtains will use:

= 67 × 3 feets

= 201 feets

Answer:

y² - 2y - 4x + 9 = 0 (*)

a = 1    b = -2    c = -4x + 9

Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32

if (*) have the solutions => Δ ≥ 0

⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2

with x ≥ 2 => y = [tex]\frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}[/tex]

or y = [tex]1-2\sqrt{x-2}[/tex]

Step-by-step explanation:

Answer:

75 Sweets

Step-by-step explanation:

To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.

Each child was given 75 grams of sweets as per linear equation when distributed.

A linear equation is an equation where the highest degree of the variable is one.

Given, there are a total of 675 grams of sweets.

There are a total of 9 children among which the sweets is to be distributed equally.

Therefore, each children will get sweets of

(675 ÷ 9) grams

= 75 grams.

Therefore, each child will get 75 grams of sweets when it is distributed equally.

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Answer:

[tex] \frac{satisfied \: peaple}{total \: peaple} \times 100\%[/tex]

[tex] \frac{260}{1300} \times 100\% \\ = 19.23076923\%[/tex]

Answer:

Alice: 2184

Maggie:1794

Luna:798 this one is weird cause it has a decimal but u cant have a fraction of a bead so i left it out

Zeinab:1333 same with this one

Step-by-step explanation:

Given :

Tickets cost $3 for students and $5 for adults.

A total of 125 people attended the concert for a total ticket sales of $475.

To Find :

The number of students and adults that attended the concert.

Solution :

Let, number of students and adults that attended the concert is x and y.

Mathematical equation of given conditions :

x + y = 125    ....1)

3x + 5y = 425   ....2)

Putting value of x from 1 to equation 2 is :

3( 125 - y ) + 5y = 425

375 - 3y + 5y = 425

2y = 50

y = 25

x = 125 - 25

x = 100

Therefore, number of students and adults that attended the concert is 100 ans 25 respectively.

Hence, this is the required solution.

Answer:

um.. ok    the answer is 10 remainder 2

Step-by-step explanation:

5 goes into 52

10 times

Answer:

10.4

Step-by-step explanation:

Answer:

60 Tons

Step-by-step explanation:

36 divided by 6 equals 6. So that six is used for the for extra years

36+6+6+6+6

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A typical car releases 36 tonnes of carbon dioxide and six years.

Let 'x' be the amount of carbon dioxide.

At a constant rate, the number of tonnes of carbon dioxide released in 10 years will be given as,​

x / 10 = 36 / 6

Simplify the equation, then we have

x / 10 = 36 / 6

x / 10 = 6

x = 60 tons

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

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Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

Corresponding angles are congruent.

So,

Angle 6x+4° and 100° will be congruent or equal

[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]

Hence,

The value of x is 16

Answer:

Step-by-step explanation:

[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]

Answer:

13

Step-by-step explanation:

-2(-2) - (-8) + 1

4 + 8 + 1 = 13

Answer:

13

Step-by-step explanation:

cause i did it and it was right

Answer:

y= -3x/5

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept

m= rise/run = -3/5 (go from one point to the other on the graph)

y-intercept is (0,0)

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

Answer:

Try to do it with mth way

Answer:

Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

Answer:

Its D

Step-by-step explanation:

I took the test and got it right.

Answer:

non

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

I DIVIEDE 180 DIVIEDED BY $2.50=72

Answer:

A.

Step-by-step explanation:

Answer:

A. 5 adult tickets and 15 children tickets

Step-by-step explanation:

Answer:

A.) -8h

Step-by-step explanation:

a.) . (5 – 2h) (3 + h)  

a.) (5 – 2h) (3 + h)  

(5+3) (h-2h)

8(-h)

-8h

Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]

Let, time taken to cover 2.4 miles is t .

So,

[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]

Hence, this is the required solution.

Answer: B

Step-by-step explanation:

so for the slope to be parallel, it means it's the same slope as the given equation which is -5

using point slope, we can write a new equation

y -5 = -5(x+3)

y -5 = -5x-15

y = -5x-10

Answer:

x = 11

Step-by-step explanation:

this answer can be solved by simple operations

5x + 20 = 75

5x = 55 (subtracted the 20 from 75)

x = 11 (divided the 5 by 55)

hope this helps !!

- emily