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GREYUIT [131]
3 years ago
13

Find the length of the diagonal of the rectangle.

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

≈ 11.4 m

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles , with legs 7 and 9 and the diagonal the hypotenuse.

Using Pythagoras' identity with h as the diagonal, then

h² = 7² + 9² = 49 + 81 = 130 ( take the square root of both sides )

h = \sqrt{130} ≈ 11.4 m ( to the nearest tenth )

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The perimeter of the rectangle is 76 units. Find the length of side pq
larisa [96]

Answer:   PQ=16\ units

Step-by-step explanation:

The missing figure is attached.

The perimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

You can identify in the figure that:

w=SR=PQ=2z+2\\\\l=QR=PS=3z+1

Then, knowing the perimeter of the rectangle, you can make the subsitution into the formula:

 76=2(3z+1)+2(2z+2)

Now you must simplify and solve for "z"

76=6z+2+4z+4\\\\76-6=10z\\\\70=10z\\\\\frac{70}{10}=z\\\\z=7

Finally, substituting the value of "z" into  PQ=2z+2, you get:

 PQ=2(7)+2=16\ units

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3 years ago
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SpyIntel [72]
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8 0
3 years ago
If a person called me at 9:11 p.m. and it's 9:39 p.m. Saying they on way how far they should be from me
Hitman42 [59]

Answer: 28 mins away

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6 0
3 years ago
What percent of 150 is 350
DIA [1.3K]
p\% \ of \ 150=350 \\\\ \frac{p}{100}*150=350 \\\\ \frac{p}{2}*3=350 \\\\ \frac{p}{2}=\frac{350}{3} \\\\ p=\frac{2*350}{3}=\frac{700}{3} \\\\ \boxed{p=233.33 \%}
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ASAP what is the polynomial in standard form with zeros of 4,1,0,0?
ehidna [41]

Answer:

The polynomial would be x^4 - 5x^3 + 4x^2

Step-by-step explanation:

In order to find this, we need to take each answer and set it equal to x. Then we solve until it equals 0.

x = 4

x - 4 = 0

x = 1

x - 1 = 0

x = 0

x = 0

Now we have 4 of them and we simply multiply them all together.

(x)(x)(x - 1)(x - 4)

(x)(x)(x^2 - 5x + 4)

(x)(x^3 - 5x^2 + 4x)

x^4 - 5x^3 + 4x^2

7 0
3 years ago
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