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Misha Larkins [42]
3 years ago
6

An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake

in the ground, the guy wire makes an angle of 51º with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot?
AS SOON AS POSSIBLE
Mathematics
1 answer:
sineoko [7]3 years ago
4 0
9ft tht should be correct if i’m wrong correct me in the comments !
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Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a
soldi70 [24.7K]

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

6 0
3 years ago
Which expression is equivalent to...? Screenshots attached. Please help! Thank you.
Studentka2010 [4]

Answer:

4x^{3} y^{2} (\sqrt[3]{4 x y})

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }

Then we'll extract the 4 from the cubic root.  We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }

For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.

4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}

The answer is then:

4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})

4 0
3 years ago
The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.
Liula [17]

Answer:

The greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

Step-by-step explanation:

As we know that

The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

Thus, the greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

For example, lets find the greatest common factor of 36 and 54.

The possible factors of 36 are:

                                                   1, 2, 3, 4, 6, 9, 12, 18, and 36.

The possible factors of 54 are:

                                                   1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 36 and 54 are:

                                                   1, 2, 3, 6, 9, 18

So, from the common factors, it is easy to figure out that 18 is the greatest common factor.

4 0
3 years ago
Each time Sarah went to the Candy Shoppe, she bought b bags of M&Ms. Write an expression for how many bags she will buy if s
andrey2020 [161]

Answer:

b  \times 2

Step-by-step explanation:

The reason is because you don't know the Inital amount she bought and because she visits two days in a row you would multiply

6 0
1 year ago
Recall that the graph of a function f is the graph of the set of ordered pairs (x,f(x))
Simora [160]
y=f(x)+12
7 0
3 years ago
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