I was confused on how to write the quadratic in standard form

Answer: 279.43

Step-by-step explanation:

The area of the tent that she will need to waterproof is 279.43 feet².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a tent in the form of a triangular prism as given.

We have to find the surface area of the tent excluding the base.

There are 2 triangular faces and 2 rectangular faces.

Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles

Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²

Height of the triangular face = √(8² - 4²) = √48

Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²

Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²

Hence the area of the tent is 279.43 feet².

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1. 1 pound = 16 ounces

2. 21 pounds * 16 ounces = 336 ounces

3. 336 ounces ÷ 4 baskets = 84 ounces per basket

OR

1. 1 pound = 16 ounces

2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket

3. 5.25 pounds * 16 oz = 84 ounces per basket

Hope this helps!!

Answer:

32

Step-by-step explanation:

Multiply both sides by 8.

y/8 = 4

y/8 × 8 = 4 × 8

y = 32

Answer:

x = 22, y = 11√3

Step-by-step explanation:

Here,

x is the Hypotenuse side

y is the adjacent side.

11 is the opposite side.

Formula : -

sin θ = Opposite side / Hypotenuse side

Here,

θ = 30

Note : -

The value of sin 30 = 1 / 2

1 / 2 = 11 / x

Cross multiply,

x * 1 = 2 * 11

x = 22

By Pythagoras theorem,

11² + y² = x²

11² + y² = 22²

y² = 22² - 11²

22² = 11² x 2²

11² = 11² x 1²

y² = 11² ( 2² - 1 )

y² = 11² x ( 4 - 1 )

y² = 11² x 3

Square root on both sides,

y = 11√3

Answer:

900000

Step-by-step explanation:

the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.

Answer:

true

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.

so:

18x=90

x=5

Answer:

73947.52

Step-by-step explanation:

the equation would be 100000 * (0.988)^25

since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.

For addition   1.)  28  /  5 2.) 27  / 4  3.)  45  /  8 4.)  4  /  3 5.)  23  /  18

For Subtraction 1.)  27  /  5 2.) 20 /  3 3.) 23  /  6 4.) 6 / 5 5.) 16 / 3

The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.

Addition

1.)  28  /  5

2.) 27  / 4

3.)  45  /  8

4.)  4  /  3

5.)  23  /  18

Subtraction

1.)  27  /  5

2.) 20 /  3

3.) 23  /  6

4.) 6 / 5

5.) 16 / 3

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The original Length is, 6500 m.

Length is the term used for identifying the size of an object or distance from one point to the other.

Given that 6% of a length is 390 m

Let original length be a

Therefore,  6% of a = 390

a*6/100 = 390

a = 390*100/6

a = 6500

Hence, The original Length is, 6500 m.

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Step-by-step explanation:

arc length = radius × central angle in radian

= 10 × (35 × π/180)^c

= 10 × ( 7π/36)

= 70π/36

= 70/36 × 22/7

= 55/9

= 6.111cm

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i hope my ans is helpful

Answer:

formula for length of an arc = 0 / 360 × 2ūr

Given , 0 = 35 , ū = 22/7 ,r =10

therefore; 35/360 × 2 x 22/7 ×10

= 6.111 or 55 /9

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Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

Answer:

the Danyang–Kunshan Grand Bridge

The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)

Answer:

Danyang–Kunshan Grand Bridge

Step-by-step explanation:

Answer:

I think that answer is 65....Broo 65 or what broo...

The number  2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

= 2√5×3√6

= 6√30

= √1080 = 32.863353450309965

The number is irrational.

= √42/√168

= 1/2

The number is rational.

= 5(4√5 - 3√5)

= 5√5

= √125 = 11.180339887498949

The above number is irrational.

= √64/32

= 1/4

The above number is rational.

= (5√3—√3)/2√3

= 2

The above number is rational.

Similarly, we can find whether a number is irrational or rational

Thus, the number  2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.

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Answer:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.

Answer:

Step-by-step explanation:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:

78,300 - 6,500 = 71,800 (this is your new taxable value)

71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.

Answer:

cupboard is 1.2 m wide.

Will a stick 1m 5cm long fit across the cupboard?

Give reasons for your answer

Answer:

Move decimal points in 726.02, 3 points in the left direction

Step-by-step explanation:

Given

Quotient of 726.02 and 1000

This is represented as:

The denominator 1000 has 3 zeros.

This implies that the decimal points will be moved in the left direction by 3 points.

So:

Answer:

x=5 y=2

Step-by-step explanation:

3x-6y=3

3x=3+6y

x=1+2y

Substitute x for 4x+6y=32

4+8y+6y=32

4+14y=32

14y=28

y=2

3x-12=3

3x=15

x=5

Answer:

19n+9u=7500 and 4u-n

Step-by-step explanation:

Answer:

10,099.80

Step-by-step explanation:

Given: The principal amount (P)= $8,000

The rate of interest (i)= 6 % = 0.06

Time = 4 years

The formula to calculate the compound amount in x years is given by :-

Then the compound amount received by Matthew after 4 years will be:_

Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80

Answer:

$10,099.82

Step-by-step explanation:

Given formula:  [tex]\sf TA = P (1+i)^t[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \sf TA=8000(1+0.06)^4[/tex]

[tex]\implies \sf TA=10099.81568[/tex]

Therefore, the total amount the Matthew's bank will receive is $10,099.82

[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]

Answer:

[tex]69500[/tex]

Step-by-step explanation:

[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]

Answer:

Step-by-step explanation:

3x + 8 = 4x + 4

-x + 8 = 4

x = 4

answer is A