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tensa zangetsu [6.8K]
3 years ago
6

Maximum Slope Of your Bridge

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

General Idea:

The slope is given by rise over run. The change in y-axis with respect to change in x-axis is described as slope.

Slope =\frac{Rise}{Run}

Applying the concept:

Given that the slope is 0.06, we should try to rewrite it as a fraction

0.06=\frac{6}{100}=\frac{3}{50}=\frac{Rise}{Run}

So if we form a right triangle as shown in the figure, then slope provides us the information that the base of the bridge is 50 and height of the bridge is 3, Now we need to find the hypotenuse using the Pythagorean theorem to get the length of the bridge.

[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}

Conclusion:

Length of the bridge is 50.08 approximately

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HURRY PLEASE
Sauron [17]

Answer:

gallons of punch in all  = 4.5 gallons

Step-by-step explanation:

Morgan poured 3/4 gallons of punch into each of 6 bottles . This means Morgan poured 3/4 gallons of punch in each of the available 6 bottle .

He pours 3/4 gallons of punch in 1 bottle . For 6 bottles the gallons of punch poured is calculated below

1 bottle = 3/4 gallons of punch

6 bottles = ? gallons of punch

cross multiply

gallons of punch in all = 3/4 × 6

gallons of punch in all  = 18/4

gallons of punch in all  = 9/2 gallons

gallons of punch in all  = 4.5 gallons

5 0
3 years ago
Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.
kenny6666 [7]

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

7 0
3 years ago
Add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3<br>​
ANTONII [103]

The addition of the polynomial x^{3}+3xy-2xy^{2} +y^{3} with 2x^{3}-5x^{2} y-3xy^{2}-2y^{3} is  3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}.

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   x^{3}+3xy-2xy^{2} +y^{3} and 2x^{3}-5x^{2} y-3xy^{2}-2y^{3}

The sign after addition or subtraction will always be of the variable having more value.

(x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})

On adding like terms with each other

⇒ (x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})

⇒ 3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}

Hence the addition of the polynomialx^{3}+3xy-2xy^{2} +y^{3} and 2x^{3}-5x^{2} y-3xy^{2}-2y^{3} is 3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}.

Learn more about polynomial here :

brainly.com/question/1487158

#SPJ9

5 0
1 year ago
Can someone plz help.
miv72 [106K]
The answer should be 5×2+3×2÷1/2.
8 0
3 years ago
If p - 5q = 4qr,<br> p<br> find the value of p when<br> q = 4 and r = -1.
den301095 [7]

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

4 0
3 years ago
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