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Expand the binomials, then simplify, then invoke the Pythagorean identity:

(p sin(B) - r cos(B))² + (r sin(B) + p cos(B))²

= (p² sin²(B) - 2pr sin(B) cos(B) + r ² cos²(B)) + (r ² sin²(B) + 2pr sin(B) cos(B) + p² cos²(B))

= p² (sin²(B) + cos²(B)) + r ² (cos²(B) + sin²(B))

= p² + r ²

Answer:

b) The average speed at which he travelled for the whole journey

Step-by-step explanation:

If he had travel 200- km/h and had broke down by which was at 10:30 a.m  you would have to subtract 200 km/h to 10:30  your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640

Step-by-step explanation:

a=3/4

Answer:

Step-by-step explanation:

In order for us to be able to get our (x,y) value, we need to show our work step-by-step.

Solving for Y:

  -2x + 3y = -9

+ (2x - 5y = 11)

_____________________

             -2y = 2

             -2     -2

In order for us to be able to find our y value, we need to divide -2 both sides.

y = -1

Solving for X:

2x-5(-1) = 11

2x + 5 = 11

    - 5    -5

_____________________

                 2x = 6

                  2      2

In order for us to find our x value, we need to divide 2 both sides.

x = 3

Our equation set or (x,y) value will be equal to:

(3,-1)

Answer:

<XYZ = <CBD

Step-by-step explanation:

I saw there wasn't an answer so here ya go, learned the hard way...

Answer:

<XYZ = <CBD

Step-by-step explanation:

this is the right answer I can confirm

Answer:

[tex]t^{14}[/tex] +  3  +  − [tex]\frac{3j}{7}[/tex]  + 7 + -[tex]\frac{6j}{7}[/tex]

Step-by-step explanation:

Answer:

The solution lies at approximately (4.25,6.5).

Step-by-step explanation:

The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.

Step-by-step explanation:

here is ur answer pls check it

Answer:

(4, -2)

Step-by-step explanation:

if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true

-2 = -3/4(4) + 1

-2 = -3 + 1

-2 = -2  

Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

In the given figure

∵ There is a pair of vertically opposite angles

∵ The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

∴ These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

∴ These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

∴ The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

Answer:

-x -y = 5

Step-by-step explanation:

the Answer will be 5

Answer:

Before Tax: $37.50 and $32.50

After-Tax: $40.50 and $35.10

Step-by-step explanation:

In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.

25% / 100 = 0.25

1 - 0.25 = 0.75

50.00 * 0.75 = $37.50

30% / 100 = 0.35

1 - 0.35 = 0.65

50.00 * 0.65 = $32.50

Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.

8% / 100 = 0.08

0.08 + 1 = 1.08

$37.50 * 1.08 = $40.50

$32.50 * 1.08 = $35.10

Answer:

9 teaspoons of vanilla

Step-by-step explanation:

12/4=3

3*3=9

Answer:

teaspoons of vanilla =9

Step-by-step explanation:

we can make it as a ratio

So we have (3 for teaspoons and 4 tablespoons)

          3:4  

Then  x : 12

x=(12/4)*3=9

hope this helps

Answer:

Triangle 1 : isosceles triangle

Triangle 2 : Right Triangle

Step-by-step explanation:

Answer:

8 is 1

Step-by-step explanation: Multiply

The percentage of coach passengers who did not check their bags will be 43.82 %.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.

We have to find the percentage of coach passengers who did not check their bags.

It is found by dividing the total number of passenger bags not checked by the total number of passengers.

=71 / 162 × 100

=43.82 %

Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

Answer:

The owners' cost of the candy bar is $1

Step-by-step explanation:

Assume that the owners' cost of the candy bar is 100%

∵ The owners' cost of the candy bar is 100%

∵ The candy store uses a 50% markup on cost

∵ The selling cost = owners' cost + markup

∴ The selling cost = 100% + 50% = 150%

∵ The candy bar sells for $1.50

→ That means 1.50 is 150% of the owners' cost

∴ 1.50 = 150% × owners' cost

→ Change 150% to decimal by divide it by 100

∵ 150% = 150 ÷ 100 = 1.50

∴ 1.50 = 1.50 × owners' cost

→ Divide both sides by 1.50

∴ 1 = owners' cost

∴ The owners' costs = $1

∴ The owners' cost of the candy bar is $1

Answer:

[tex]81x^{2}- y^{2}[/tex] this is the answer

Step-by-step explanation:

Answer:

answer D looks good    :)

Step-by-step explanation:

Answer:

Opposite angles are congruent

Opposite sides are congruent

Step-by-step explanation:

Step-by-step explanation:

By Factor Theorem, p(-3) = 0.

Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.

Answer:

5/6

Step-by-step explanation:

Answer:

π meters

Step-by-step explanation:

The diameter is 2  meters. Then the radius is 1 meter. So:

A=πr²

  =π(1)²

  =π meters ...............

Answer:

3.14

Step-by-step explanation

the formula of a circle is A=πrxr

2 divided by 2 is 1

1 x 1 = 1

3.14 x 1 = 3.14

thats is!

Answer:

The difference between the two scarecrows' heights is 3.41 feet.

Step-by-step explanation:

To find the difference between the two scarecrows' heights, we have to subtract the height of the shorter one from the height of the taller one.

Hence, the difference between their heights would be (8.1 - 4.69) feet, which equals to 3.41 feet.

Hope this helped!

Answer:

3.41 FT

Step-by-step explanation:

Just subtract 4.69 from 8.1.

tricky the clown

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

Answer:

The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

Step-by-step explanation:

In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:

$200*30%=$60

Now, you have to subtract the amount that represents the 30% from the amount he set aside:

$200-$60=$140

According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.