Write and simplify an algebraic expression for the rectangle with sides of 2x and 6x-1

Answer:

x = 24

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

-49              -49

b^2 = 576

square root them

b = 24, or x = 24

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Answer: 24

Step-by-step explanation:

A^2 + B^2 = C^2

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

Answer:

12.5 sq. units

Step-by-step explanation:

Area of a Trapezoid Formula: (see the image attached)

7.5 + 2.5 = 10

10/2 = 5

5(2.5) = 12.5

So, the area of the trapezoid is 12.5 sq. units.

Answer:

80

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Answer:

The percentage maybe went up because of air pollution, and global warming

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

x=54°

Step-by-step explanation:

x+36°=90°

x=90°-36°

x=54°

HOPE IT HELPS U

HAVE A GREAT DAY

Answer:

m<YVX = 49°

Step-by-step explanation:

Given:

m<YVZ = 52°

m<ZVW = 36°

m<XVU = 43°

m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)

m<YVX + 52 + 36 + 43 = 180 (substitution)

m<YVX + 131 = 180

m<YVX = 180 - 131

m<YVX = 49°

Answer:

question of number 10 is 3

Answer:

Jada spent 3 hours and 15 minutes at the state fair.

Step-by-step explanation:

She started at 8:45 am and left at 11:00 am.

So 8:45 to 9 is 15 minutes.

So how far away is 9 am to 11 am?

11 - 9 = 3

3 hour difference

But remember to add the 15 minutes from the 8:45 to 9

Jada spent 3 hours and 15 minutes at the state fair.

Answer:

Discriminant = -24, no real roots.

Step-by-step explanation:

The discriminant is what's inside the square root in the quadratic formula.

The quadratic formula is:

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

a = 1

b = 2

c = 7

The question wants the discriminate, we can just focus on the square root part.

When we plug in the parts we got, it becomes:

[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]

Since the inside of the square root is negative, there are no real roots.

Answer:

x3+2x2-17x+6.

Step-by-step explanation:

(x2+5x-2)(x-3)

= x(x2+5x-2)-3(x2+5x-2)

= x3 +5x2-2x-3x2-15x+6

Simplifying like terms:

= x3+2x2-17x+6

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?

Step-by-step explanation:

Answer:

10.500.000 libras esterlinas

Step-by-step explanation:

70000000 x 0,05 = 3.500.000

3.500.000 x 3 = 10.500.000

Answer:

riku is is wrong

Step-by-step explanation:

divide each term by 0.75

a-2=5.25/0.75

a-2=7

a=9

34b= 214+32

34b=246

b=123/17

or 7.235

therefore both answers are different

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

6 X 1/2 = 3 cups of sugar

Answer:

60th position is the first child that gets all 3 items

Step-by-step explanation:

Find the LCM of 3 , 5 and 4.

Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60

Answer:

3,6,9,12,

4,8,12,16,

5,10,15,

in 60th position

60is the first number that can be divided by 60/3=20 60/4=15 60/5=12

Answer:

You have to deposit $8,207.5 today.

Step-by-step explanation:

Compound interest:

The amount of money in yearly compounded interest, after t years, is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial deposit and r is the interest rate, as a decimal.

You would like to have $10,000 in an account after eight years time.

This means that when [tex]t = 8, A(t) = 10000[/tex]

2.5% compounded interest

This means that [tex]r = 0.025[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = A(0)(1+0.025)^t[/tex]

[tex]A(t) = A(0)(1.025)^t[/tex]

How much would you have to deposit today?

We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So

[tex]A(t) = A(0)(1.025)^t[/tex]

[tex]10000 = A(0)(1.025)^8[/tex]

[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]

[tex]A(0) = 8207.5[/tex]

You have to deposit $8,207.5 today.

Answer:

A. 12/13

Step-by-step explanation:

Remember SOH, CAH, TOA.

In this situation, the function is sine so sine= opposite/hypotenuse.

The side opposite of K is 12.

The hypotenuse is the longest side so it will be 13.

Therefore, sineK= 12/13(a)

Answer:

12/13

Step-by-step explanation:

Answer:

sin2θ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

       = [tex]\frac{2}{\sqrt{13}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{3}{\sqrt{13} }[/tex]

sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]

         = [tex]\frac{12}{13}[/tex]

Answer:

Option A

Step-by-step explanation:

From the picture attached,

In the given triangles ABC and ADC,

m(∠B) = m(∠D) [Given]

AC ≅ CA [Reflexive property]

But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.

Option A is the answer.

Answer:

45$?

Step-by-step explanation:

Answer:

[tex]Distance = 38.57ft[/tex]

Step-by-step explanation:

Given

[tex]Base = 60[/tex]

[tex]\theta = 50[/tex]

Required

The distance between the top and John

The distance is calculated using:

[tex]sin\alpha = \frac{Distance}{Base}[/tex]

Where

[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line

[tex]\alpha = 90 - 50[/tex]

[tex]\alpha = 40[/tex]

So, we have:

[tex]Sin(40) = \frac{Distance}{60}[/tex]

[tex]Distance = 60 * sin(40)[/tex]

[tex]Distance = 60 * 0.6428[/tex]

[tex]Distance = 38.57ft[/tex]

[tex]Distance = 986 * tan(38)[/tex]

[tex]Distance = 986 * 0.7812[/tex]

[tex]Distance = 770ft[/tex] --- approximated

Answer:

The answer is C have a nice day.

Answer:

la verdad que depende de la situación