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kkurt [141]
2 years ago
10

Bonnie has been hired to make a frame to go around a large mural. She will have 300 tiles to use. How many tiles should she plac

e along one side of the square frame for the mural? Work with your team and be prepared to describe your process to the rest of the class.
Mathematics
1 answer:
sp2606 [1]2 years ago
8 0

Answer:

she should place 76 tiles along 1 side of the square

Step-by-step explanation:

300 = 4n - 4

answer will leave u with n=76

You might be interested in
M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E.
Nitella [24]

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

So, it has three zeros.

Let the polynomial be

M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

Then,

M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

      =a(x+4)(x²-16i²)

      =a(x+4)(x²+16)      [∵i² = -1]

      =a(x³+4x²+16x+64)

Again given that M(0)= 53.12 . Putting x=0 in the polynomial

53.12 =a(0+4.0+16.0+64)

\Rightarrow a = \frac{53.12}{64}

      =0.83

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

5 0
3 years ago
A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t
gladu [14]

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

5 0
3 years ago
1. Jessica has a circular birdbath in her backyard with a radius of 1.25 feet. She wants to
Harlamova29_29 [7]

Answer:

thx

Step-by-step explanation:

5 0
2 years ago
5x³+8x²-7x-6
Lady_Fox [76]

Answer:


Step-by-step explanation:

Whether we divide using long division or using synthetic division, the rule is the same:  If, after division, there is no remainder (i. e., the remainder is zero), the divisor binomial is a factor or the associated root is indeed a root/zero/solution.

Divide 5x³+8x²-7x-6 by (x+2) using synthetic division.  Use the divisor -2 (which comes from letting x+2 = 0):

      --------------------------

-2   /    5    8    -7    -6

                -10    4     6

     ------------------------------

          5      -2    -3    0          Since the remainder here is 0, we know that

                                               -2 is a root of 5x³+8x²-7x-6 and that (x+2) is

                                                a factor of 5x³+8x²-7x-6.


Now check out the possibility that (x+1) is a factor of  5x^3 + 8x^2 - 7x - 6:

Use -1 as the divisor in synthetic division:    

        --------------------------

-1   /    5    8    -7    -6

                -5   -3     10

     ------------------------------

          5      3   -10    4        

Since there is a non-zero remainder (4), we can conclude that (x + 1) is NOT a factor of the given polynomial expression.  

5 0
3 years ago
A rectangle has a height of 3 and a width of 2x2 + 3x - 5.
AleksAgata [21]

Answer:

6x2 + 9x - 15

Step-by-step explanation:

All you have to do is multiply 3(2x2 + 3x - 5)

When you distribute, you will multiply 3 by 2x2, which is 6x2. 3 by 3x, which is 9x. And 3 by -5, which is -15. Then you can just write them all in order because none of them are like terms that you can combine.

7 0
3 years ago
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