a circle has a radius of 8.5cm correct to the nearest 0.1cm.
the lower bound of the area of the circle is pπ cm².
the upper bound of the area of the circle is qπ cm².

find the value of p and the value of q.

Answer:

16

Step-by-step explanation:

using BODMAS rule

6 + 16 - 12 + 9 - 3............step 1

22 - 3 - 3....…...................step 2

16

Answer: Try 2. This is my best guess

Answer:

33

Step-by-step explanation:

HJ = HI + IJ

HJ = 3x - 9, HI = x and IJ = x + 5

So 3x - 9 = x + x + 5

Solve for x

Combine like terms

3x - 9 = 2x + 5

Add 9 to both sides

3x = 2x + 14

Subtract 2x from both sides

x = 14

Find HJ

HJ = 3x - 9

We have found that x = 14

HJ = 3(14) - 9

Multiply 3 and 14

HJ = 42 - 9

Subtract

HJ = 33

Answer:

w = 70 cm

A = 5600cm^2

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

300 = 2(l+w)

We know the length is 10 longer than the width

l = w+10

300 = 2(w+10+w)

Divide each side by 2

300/2 = (w+10+w)

150 = (2w+10)

Subtract 10 from each side

150-10 = 2w

140 = 2w

Divide by 2

140/2 = w

70 = w

Now find the area

A = l*w

A = (w+10) * w

   = (70+10) *70

   = 80*70

5600

Answer:

D. The Scott Wedding

Step-by-step explanation:

Scott: 12 guests on the groom's side and 10 guests on the bride's side

Smith: 18 guests on the the groom's side and 13 guests on the bride's side

Answer:

umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...

Step-by-step explanation:

Answer:

hope it help you.........

Answer:

[tex]\boxed {\boxed {\sf y= -1.2 }}[/tex]

Step-by-step explanation:

We are asked to solve the following equation for y.

[tex]-2y-4.2= 1.8 + 3y[/tex]

To solve for y, we have to isolate the variable by performing the inverse operations.  First, move all the terms without a variable or the constants to one side, and the terms with a variable to the other side.

4.2 is being subtracted and the inverse operation of subtraction is addition. Add 4.2 to both sides.

[tex]-2y-4.2 +4.2= 1.8 + 3y+ 4.2[/tex]

[tex]-2y=1.8 + 4.2 + 3y[/tex]

[tex]-2y= 6 + 3y[/tex]

3y is being added and the inverse operation of addition is subtraction. Subtract 3y from both sides.

[tex]-2y-3y= 6+ 3y -3y[/tex]

[tex]-2y-3y= 6[/tex]

[tex]-5y=6[/tex]

y is being multiplied by -5. The inverse operation of multiplication is division. Divide both sides by -5.

[tex]\frac {-5y}{-5}= \frac{6}{-5}[/tex]

[tex]y=- 1.2[/tex]

Check the answer by substituting -1.2 back into the original equation.

[tex]-2 (-1.2)-4.2 = 1.8 + 3(-1.2)[/tex]

[tex]2.4-4.2=1.8 + - 3.6[/tex]

[tex]-1.8 = -1.8[/tex]

This checks out, so we know our answer is correct.

Answer:

sinA= 5/13; cosB= 5/13

Step-by-step explanation:

sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13

Answer:

answer

volume= 252 yd^3 .

Answer:

2 real solutions

Step-by-step explanation:

Get all the terms to one side

10n^2 = 10 - 8n

10n^2 +8n -10 =0

ax^2 +bx+c =0

The discriminant is

b^2 -4ac

8^2 - 4(10)(-10)

64 +400

464

If the discriminant is greater than 0 we have 2 real solutions

Answer:

1/4

Step-by-step explanation:

Answer:

C(x)=40x+14, 6 days

Step-by-step explanation:

C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.

C(x)=254=40x+14, 40x=240, x=6

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

Answer:

[tex]\sqrt{100^2 + 420^2}[/tex]

[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5

Answer:

k = 10

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2x(2x + kx) = 3x(3x + 5x)

4x² + 2kx² = 3x × 8x = 24x² ( subtract 4x² from both sides )

2kx² = 20x² ( divide both sides by 2x² )

k = 10

Answer:

62

Step-by-step explanation:

Of means multiply and is means equals

.03 * n = 1.86

Divide each side by .03

.03n/.03 = 1.86/.03

n =62

The determinant is C. -541.

Using a cofactor expansion along the first row:

[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]

Answer:

585 is the answer of your question.

Step-by-step explanation:

because formula is

Mp _ d% of mp

Its a triangle

[tex]\\ \sf\longmapsto Perimeter=31+18+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=48+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=73cm[/tex]

Its rectangle

[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(15+10)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(25)[/tex]

[tex]\\ \sf\longmapsto Perimeter=50ft[/tex]

Answer:

a and c

Step-by-step explanation:

The perimeter is the sum of the 3 sides, that is

perimeter = 25 + 18 + 31 = 74 cm → a

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

The opposite sides of a rectangle are equal, so

perimeter = (2 × 10) + (2× 15) = 20 + 30 = 50 ft → c

answer:

have any notes for reference?

Step-by-step explanation:

Answer:

s - t = 10 - -7 = 17

Step-by-step explanation:

I only see

s - t

nothing else is there to evaluate (or calculate).

s - t = 10 - -7 = 17 (as a double "-" always turns into a "+").

you really needed help with that ?

Answer:

= s-t

= 10 - (-7)

= 10 + 7

= 17

✌✌✌✌

Answer:

88,000,000 and 800

Step-by-step explanation:

Answer:1.1×105

Step-by-step explanation:

Answer:

a: x=90 b: x=45 y=45 c: y=68 x=68

Step-by-step explanation:

[tex] \frac{ \sin(81) }{x} = \frac{ \sin(40) }{7} \\ x \times \sin(40) = 7 \times \sin(81) \\ x = \frac{7 \times \sin(81) }{ \sin(40) } = 10.75 = 10.8 \: cm[/tex]

Answer:

x is 10.8 cm

Step-by-step explanation:

from Lami's theorem:

[tex] \frac{7}{ \sin(40 \degree) } = \frac{x}{ \sin(81 \degree) } \\ \\ x = \frac{7 \sin(81 \degree) }{ \sin(40 \degree) } \\ \\ x = 10.8 \: cm[/tex]

Answer:

x = 64°, y = 32°

Step-by-step explanation:

The sum of the angles on a straight line = 180° , then angles on PS are

2x + y + 20 = 180 ( subtract 20 from both sides )

2x + y = 160 → (1)

Angles on QT are

x + 3y + 20 = 180 ( subtract 20 from both sides )

x + 3y = 160 → (2)

Solve (1) and (2) simultaneously

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides

y = 160 - 2x → (3)

Substitute y = 160 - 2x into (2)

x + 3(160 - 2x) = 160 ← distribute and simplify left side

x + 480 - 6x = 160

- 5x + 480 = 160 ( subtract 480 from both sides )

- 5x = - 320 ( divide both sides by - 5 )

x = 64

Substitute x = 64 into (3)

y = 160 - 2(64) = 160 - 128 = 32

Then

x = 64°, y = 32°

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

Answer:

U in the line x=-2: (-4,0)

U in the line x=-1: (-2-0)

Step-by-step explanation:

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