The length of a rectangle is 5m longer than its width.

If the perimeter of the rectangle is 74m, find its length and width.

Answer:

x=1

Step-by-step explanation:

This can be simplified to -4x+1=x-4

add 4 to both sides

-4x+5=x

Flip it so it is easier to work with

x=-4x+5

add 4x to both sides

5x=5

Divide by 5

x=1

Answer:

13.01d − 2.65

The liked terms are "3.26d + 9.75d". Just add them accordingly.

Answer:

the total cost would be $20.25

Step-by-step explanation:

Answer:

Multiples of 4 are the following:

Step-by-step explanation:

2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.

Answer:

4,36,48

Step-by-step explanation:

The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
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Answer:

50 states bb bbdbeu28nefd

[tex]3x\sin y+2\cos y=\sin x[/tex]

[tex]\dfrac{\mathrm d(3x\sin y+2\cos y)}{\mathrm dx}=\dfrac{\mathrm d(\sin x)}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm d(3x)}{\mathrm dx}\sin y+3x\dfrac{\mathrm d(\sin y)}{\mathrm dx}+\dfrac{\mathrm d(2\cos y)}{\mathrm dx}=\cos x[/tex]

[tex]3\sin y+3x\cos y\dfrac{\mathrm dy}{\mathrm dx}-2\sin y\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]

Solve for dy/dx :

[tex]3\sin y+\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]

[tex]\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x-3\sin y[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{\dfrac{\cos x-3\sin y}{3x\cos y-2\sin y}}[/tex]

Step-by-step explanation:

Here is the correct answer...

I hope you understand...

Answer:

H+ = 0.001

Step-by-step explanation:

3 = -log[H+]

Identity to use: [tex]-log_{b}(a) = log_{b}(1/a)[/tex]

3 = log[ 1 / H+ ]

Identity to use: [tex]10^{log(x)} = x[/tex]

Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]

10³ = [tex]10^{log(\frac{1}{H+} )}[/tex]

1000 = 1 / H+

H+ = 1 / 1000

Answer: H+ = 0.001

Answer:

the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees

Answer:

the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.

step-by-step explanation:

Answer: 52

Step-by-step explanation:

The area of the equilateral triangular pyramid is the amount of space on it

The total surface area is 107 square feet

The given parameters are:

Base (b) = 6 feet

Slant height (l) = 10 feet

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 6 * 10

Evaluate the product

L = 90

The total surface area is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 90 + 0.25√3 * 6^2

Evaluate

T = 107

Hence, the total surface area is 107 square feet

Read more about areas at:

brainly.com/question/24487155

Answer:

107 sq ft

Step-by-step explanation:

Got it right on Edmentum

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Answer:

The answer is the last question (7x to-the-power-of 2 - 72)

Step-by-step explanation:

7x²+72 -6x√56

7x²+72-6x√(14×4)

7x²+72-12x√(14) because√(14×4)=2√14

To find the volume of a prism, we can use the following formula:

[tex]V=base\hspace{3}area*height[/tex]

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

[tex]A=lw[/tex] ⇒ where l is the length and w is the width

We're given:

First, find the base area:

[tex]A=lw\\A=16^2\\A=256[/tex]

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

[tex]V=base\hspace{3}area*height[/tex]

⇒ Divide both sides by the base area:

[tex]\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}[/tex]

⇒ Plug in the given values:

[tex]height=\dfrac{4352}{256}\\\\height=17[/tex]

Therefore, the height of the box is 17 ft.

The height of the box is 17 ft.

Answer:

17

Step-by-step explanation:

Step-by-step explanation:

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Using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.

The given trigonometric identity is 1-2cos²x = 2sin²x-1.

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle.

Using trigonometric identity sin²θ+cos²θ=1

Here, 1-2cos²x = 2sin²x-1

⇒ 1+1=2sin²x+2cos²x

⇒ 2=2(sin²x+cos²x)

⇒ 2=2(1)

⇒ 2=2

LHS=RHS

Therefore, using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.

Learn more about the trigonometric identity here:

https://brainly.com/question/24377281.

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Answer:

5/12 + 8/12 = 13/12 = 1 1/12

Step-by-step explanation:

This is the answer because:

1) You have to add the fractions, in order to add the fractions you have to find the common denominato.

2) The common denominato is 12 because 2 x 4 = 8 and 3 x 4 = 12. Therefore, 2/3 = 8/12.

3) Finally, once you add 5/12 and 8/12, you should get 13/12 which is also equal to 1 1/12.

Hope this helps! :D

Answer:

1.333

Step-by-step explanation:

Distance travelled (or displacement) will be the antiderivative of Velocity.

Antiderivative of -t^2 + 2 =

d(t) = -t^3/3 +2t

Now plug in t=2 and t=0 and subtract them.

(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333

Answer:

1.333

Step-by-step explanation:

We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.

x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)

= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...

Answer:

11

Step-by-step explanation:

Radius = R, Diameter = D

Area of a circle A = πR² = π(D/2)² = πD²/4

so D² = 4A/π = 4*30.25π/π = 121

[tex]D=\sqrt{121} = 11[/tex]

Answer:

452.16 in. or 144π if the answer needs to be in terms of pi.

Step-by-step explanation:

In this case, all of the information is given to you. You can determine this is a cylinder because of its circular bases. Your height is given on the side as 9in. Your radius is given on the base as 4in. You can tell that this value is the radius and not the diameter because the line only covers half of the circular base. If the line went from one edge to the other, you would need to divide the given value by 2. From there, you can just plug the numbers into the proper equation.

V = πr²h​

V = π(4)²(9)

V = 452.16 or 144π

Answer:

x = -15/16

Step-by-step explanation:

see image.

Cross-multiply and combine like terms. Finally divide to get x all by itself.

see image.

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

have a nice day.

Answer:

C

Step-by-step explanation:

Translate up & left then reflect over y axis.

Answer:

C

Step-by-step explanation:

First you have to translate up and then left, then reflect over the y axis.

Answer:

3 [tex]\frac{2}{5}[/tex]

Answer:

3 and 2/5 i believe

please say if im wrong or right

Step-by-step explanation:

Answer:

48 - 40 = $8, there is a $8 dollar increase.

Formula for change of percentage;

changed price

___________ x 100% (100/100)

original amount

Replace those values with the values we found;

40/48 x 100/100 = 20% increase.

Answer:

The attached graph represents the system

Step-by-step explanation:

Let us describe the graph of each line

In y < -3x + 5

∵ The sign of inequality without =

∴ The line represents it must be dashed

The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept

∵ y < -3x + 5

∴ m = -3 and b = 5

∴ The direction of the line is to the left and intersect the y-axis at (0, 5)

∴ y < -3x + 5 represented by the green line

∵ The sign of inequality is <, then the shading is under the green line

In y < x + 2

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 1 and b = 2

∴ The direction of the line is to the right and intersect the y-axis at (0, 2)

∴ y < x + 2 represented by the blue line

∵ The sign of inequality is <, then the shading is under the blue line

In y < -1

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 0 and b = -1

∴ The line is horizontal and intersects the y-axis at (0, -1)

∴ y < -1 represented by the red line

∵ The sign of inequality is <, then the shading is under the red line

∵ The shading of the three inequalities is under the lines

∴ The solutions of the system of inequalities lie in the common

   shaded part under the three lines

∴ The attached graph represents the system

The graph was plotted and is attached below.

Inequality is the unequal comparison of numbers or expressions.

Given the inequalities: y < -3x+5, y < x+2, y < -1

Graphing the above inequalities using the geogebra online graphing calculator.

The graph is attached below.

Find out more at: https://brainly.com/question/25285332

Answer:

I think it is -12

Multiply -0.75 (3 quarters) by 16.

The negative cancels out the positive number.

Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.

Normally, this ↑ is not the case, but here, I could make an exception.

I hope this helps you, let me know if you need something else.

Answer:

181.82 km/h

Step-by-step explanation:

1 mile = 1.609 km

so 113 miles/hour = 113 * 1.609 = 181.82 km/h

Step-by-step explanation:

12 bottles for 0.90 per bottle = 12×0.90 = £10.80 as initial cost.

1/4 of 12 = 12×1/4 = 12/4 = 3 bottles

so, 3 bottles are sold for £2.10 per bottle = 3×2.1 = £6.30

the rest (12-3) 9 bottles are sold for £2.40 per bottle = 9×2.4 = £21.60

so, the total sales was 6.3 + 21.6 = £27.90.

the profit is then sales minus initial cost :

27.9 - 10.8 = £17.10

1% of the initial cost is 10.8/100 = 0.108

how often does 1% fit into the total profit ?

17.1/(10.8/100) = 17.1×100/10.8 = 158.3333333...%

so, the profit is 158.3333333...% of the initial cost.

Answer:

122x12222 = 1491084

Answer:

It is a good app, when used the right way.

Step-by-step explanation:

Your question isn't properly described. 122x1,2222, is that 1.2222 or was it supposed to be 12,222?