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2 years ago

Can you answer the question in the picture below?

Mathematics

1 answer:

uysha [10]2 years ago

5 0

Step-by-step explanation:

Area of parking lot

$= length \: of \: base \: \times height \\ = 200 \times 120 \\ = 24000 \: {ft}^{2}$

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The bottles of juice that Craig usually buys each have x ounces of juice in them. Another company makes bigger

Tanya [424]

Answer:

Step-by-step explanation:

I divided im not 100 percent sure tho

6 0

2 years ago

Jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 13.75 pounds. find the percent error.

romanna [79]

Answer:

$\large \boxed{27 \, \%} }$

Step-by-step explanation:

$\begin{array}{rcl}\text{Percent error}&= &\dfrac{\lvert \text{Measured - Actual}\lvert}{ \text{Actual}} \times100 \,\%\\\\& = & \dfrac{\lvert 10 - 13.75\lvert}{13.75} \times 100 \, \% \\\\& = & \dfrac{\lvert -3.75\lvert}{13.75} \times 100 \, \%\\ \\& = & \dfrac{3.75}{13.75} \times 100 \,\%\\\\& = & 0.27 \times 100 \, \%\\& = & \mathbf{27 \, \%}\\\end{array}\\\text{The percent error is $\large \boxed{\mathbf{27 \, \%} }$}$

3 0

2 years ago

Arnold records the number of chirps per minute (x) that crickets make

Sauron [17]

Answer:

X=0 the temperatures is 40

Step-by-step explanation:

y=1/4x +40

x=0

y=1/4*0+40

y=0+40

y=40

7 0

3 years ago

Find the area of the shape.

kaheart [24]

Answer:

36*sqrt(3)

Step-by-step explanation:

Remark

Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or

You can find the area of the trapezoid which requires only 1 step after you find the height.

Height

c = 8

b = 4

a = ?

a^2 + b^2 = c^2

a^2 + 4^2 = 8^2

a^2 + 16 = 64

a^2 = 64 - 16

a^2 = 48

a^2 = 16 * 3

sqrt(a^2) = sqrt(16*3)

a = 4 * sqrt(3)

That's the height

Trapezoid

b1 = 7

b2 = 7 + 4 = 11

h = 4*sqrt(3)

Area = (b1 + b2)*h / 2

Area = (7 + 11)* 4*sqrt(3)/2

Area = 18 * 2 sqrt(3)

Area = 36* sqrt(3)

6 0

2 years ago

Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2

Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is <em>379.</em>

Step-by-step explanation:

Given the expression:

$15^6 - 7^6$

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

$15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)$

Let us learn two formula:

$x^3+y^3 = (x+y)(x^2+y^2-xy)$

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Applying the above formula in the expression written above:

$(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2$ ...... (1)

Similarly:

$(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379$ ........ (2)

Multiplying the expressions from (1) and (2) to get the result:

$\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2$

So, largest prime factor of the given expression is <em>379.</em>

7 0

2 years ago