Find the area and the circumference of a circle with radius 8cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

before distributing the negative:

(7x2 + 3x) - (8x2 - 5x)

after distributing the negative:

7x2 + 3x - 8x2 + 5x

now add like terms:

7x2 + 3x - 8x2 + 5x

-x2 + 8x

or

8x - x2

-- let me know if you have any questions regarding this.

Answer:

The 3rd option is correct.

Step-by-step explanation:

This is because of an exponent rule that goes:

(xy)^z = x^z(y^z)

The whole thing gets raised to the power. Therefore only the 3rd one works (ps. if you can mark as brainliest that would be amazing, but if not that's fine)

Answer:

19657

Step-by-step explanation:

By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³

2*10⁴ = 20000

20000 - 7³ = 19657

This is the third time I've seen this question. Are you posting this question again and again?

Answer: By looking at which one is bigger

Step-by-step explanation:

if the negative number is a bigger number than the positive your answer will be negative, if the positive number is larger than the negative your answer will be positive if your negative and positive numbers are the same your answer will be zero, hope this helps <3

Answer:

+ - = -

Step-by-step explanation:

+ (+) = +    

+ (-) = -

- (-) = -

- (+) = -

Two like signs become a positive sign

Two unlike signs become a negative sign

Answer:

3/2

Step-by-step explanation:

the equation doesn't have a solution lol

Answer:

105,000

Step-by-step explanation:

2500/5 gives you 500 x 210 =105,000

Answer:

12

Step-by-step explanation:

step by step explanation

Answer:

Given: Length of smaller cube= 1/4 feet each side

Length of larger cube= 3.75 feet

Width of larger cube= 3 feet

Height of larger cube= 3.25 feet

Step-by-step explanation:

Volume of a cube= length * width * height

Volume of a larger cube= 3.75 * 3 * 3.25 cubic foot

Volume=36.5625 cubic foot

Volume of smaller cube= length * length * length (as length is same on each side)

Volume of smaller cube= 1/4 * 1/4 * 1/4

Volume of smaller cube= 1/64 cubic foot

Hence, volume is calculated.

Answer:

Jared worked 11 days as full 8-hour days.

Step-by-step explanation:

We have:

First day = 2 h

Second day = 4 h

After that = 8 h each day    

Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:

[tex] 94 h = 2 h + 4 h + 8 h*x [/tex]

Where x is the number of days that he works 8-hours.

[tex] 8 h*x = 88 h [/tex]

[tex] x = \frac{88 h}{8 h} = 11 [/tex]

Therefore, Jared worked 11 days as full 8-hour days.

I hope it helps you!                                              

Answer:

The statements that must be true are:

XY and JK form four right angles ⇒ B

XY ⊥ JK ⇒ C

JP = KP ⇒ E

m∠JPX = 90° ⇒ F

Step-by-step explanation:

From the given figure

∵ Line XY is the perpendicular bisector of the line segment JK

→ That means line XY is the line of symmetry of the line segment JK

∴ XY ⊥ JK ⇒ C

∵ XY ∩ JK at point P

∴ P is the midpoint of JK

∵ XY ⊥ JK

∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles

∴ XY and JK form four right angles ⇒ B

∵ The measure of the right angle is 90°

∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°

∴ m∠JPX = 90° ⇒ F

∵ P is the midpoint of JK

∴ JP = KP ⇒ E

Answer:

The cost per adult is $16.

Step-by-step explanation:

Given that:

Total number of children = 20+22 = 42 children

Total number of adults = 2 + 5 = 7 adults

Total cost for both groups = $490

Cost per child = $9.00

Cost of children ticket = 9.00*42 = $378

Cost of adult tickets = 490-378 = $112

This is the cost for 7 adult tickets.

Cost per ticket = [tex]\frac{112}{7}[/tex] = $16

Hence,

The cost per adult is $16.

Answer:

1. n power of 25

2.x power of 5

Answer:

x = 10

Step-by-step explanation:

1. Add 4 to both sides of the equation

2. Simplify

3. Subtract x from both sided of the equation

4. Simplify

Therefore, x = 10

Hope this helps :)

Answer:

=10

Add 4

to both sides of the equation 2−4=+6

2x-4=x+6 2−4+4=+6+4

Answer: The expression for number of faces of a pyramid =1+n

Step-by-step explanation:

A Pyramid is a polyhedron or a three dimensional shape having a polygon base and all lateral faces are triangles .

Its base describe the number of other faces of it.

For example a triangular pyramid has a triangular base which gives rise to 3 lateral faces , and a rectangular pyramid has a rectangular base which give rise to 4 lateral faces and so on.....

So the total number of faces in a pyramid = base + lateral faces

If a pyramid has n sides therefore it give rise to n lateral faces such that

The total number of faces in a pyramid= 1+n .

Answer: Blue color = 937.5 ml

green color =   525 ml

Yellow color= 37.5 ml

Step-by-step explanation:

Let the quantity of all kinds of paint required to make turquoise paint be 2.5 x(blue), 1.4 x( green), 0.1 x.(yellow).

Total turquoise color required =2.5x+1.4x+0.1x

[tex]\Rightarrow (2.5+1.4+01)x=1.5\\\\\Rightarrow\ 4x = 1.5\\\\\Rightarrow x=\dfrac{1.5}{4}\\\\\Rightarrow\ x=0.375[/tex]  = 1.5 liters  [given]

Blue color = 2.5 x 0.375 = 0.9375 liters = 937.5 ml  [1 liter = 1000 ml]

green color = 1.4 x 0.375= 0.525 l  =  525 ml

Yellow color= 0.1 x  0.375= 0.0375 =37.5 ml

Answer:

5 tents

Step-by-step explanation:

1 tent = 6 people

x tent = 28 people

Cross product

1 * 28 = 6 * x

28 = 6x

x = 28/6

= 4.67

Approximately x = 5 tents to an whole number

Therefore, he needs 5 tents for 28 people to sleep in

Answer:

x = 34 degrees

Step-by-step explanation:

if this is a parallelogram then Δ ACB ≅ Δ DCB

which means that ∠A = ∠D

Answer:

12.50

Step-by-step explanation:

62/5=12.4

60/2=30

5/2=2.5

Answer:

338cm

Step-by-step explanation:

P= 2( L+W)

P=2(95+74)

P=2(169)

P=338cm

Answer:

Transversal

Step-by-step explanation:

Step-by-step explanation:

For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.

Given a triangle with side lengths 11, 23 and x,

we have:

Therefore 34 > x and x > 12. => 12 < x < 34.

Answer:

second option

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

23 - 11 < x < 23 + 11, thus

12 < x < 34

Answer:

tan 12=22/x

x=22/tan 12

x=103.77.................

Answer:

60

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

14-10 = 4, which is a 4 euro increase.

4/10 = 40%

Or we can see that 14/10 = 1.4, or 140%, which is a 40% increase

Answer:

[tex]\boxed {\boxed {\sf 133 \ degrees }}[/tex]

Step-by-step explanation:

According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of the 2 remote and opposite interior angle.

[tex]d=a+b[/tex]

In this triangle, angle B is the exterior angle (d). The two interior angles are 68 degrees and 65 degrees ( a and b).

[tex]\angle B=68 \textdegree +65 \textdegree[/tex]

Add.

[tex]\angle B= 133 \textdegree[/tex]

This can also be solved using triangles and supplementary angles.

The angles in a triangle must add to 180 degrees. We have three angles: 68, 65, and an unlabeled angle we can call x.

[tex]68+65+x=180 \\133+x=180[/tex]

Subtract x from both sides.

[tex]133+x=180-133 \\x=47[/tex]

x is on a straight line with B, so they are supplementary and add to 180 degrees.

[tex]47+ \angle B= 180[/tex]

Subtract 47 from both sides.

[tex]47-47+ \angle B= 180-47\\\angle B= 133[/tex]

Angle B is equal to 133 degrees.

Answer:

No

Step-by-step explanation:

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