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3 years ago

The ratio of the side lengths of a quadrilateral is 2:3:5:6 and its perimeter is 48 cm. What is the length of the longest side?

1 answer:

5 0

The side lengths are given in proportions which are 2:3:5:6. The perimeter is given as the sum of all the sides which is given as 48 cm. Using ratio and proportion, the sum of all the sides or the perimeter is proportional to the sum of all the fractions and the largest fraction is proportional to the longest side of the quadrilateral.

Let x be the longest side of the quadrilateral. The largest proportion is 6.
6/(2+3+5+6) = 6/16
6/16 = x/48

x= 18 cm. The longest side is 18 cm. The other sides are 6, 9, 15 using the other proportions.

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A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal

noname [10]

Answer:

$\boxed {\boxed {\sf 7.5 \ feet}}$

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

$h=-16t^2+25t+6$

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

$h= -16(1.5)^2+25(1.5)+6$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

(1.5)²= 1.5*1.5=2.25

$h= -16(2.25)+25(1.5)+6$

Multiply.

$h= -36+25(1.5)+6$

$h= -36+37.5+6$

Add.

$h=1.5+6=7.5$

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

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3 years ago

Please help with this

Karolina [17]

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Why was the far eastern diplomat at the north pole

n200080 [17]

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3 years ago

Solve for x and y in the system of equation<br>3x²+4y=17 <br>2x²+5y=2<br>I'll mark brainliest

Novay_Z [31]

Answer:

$x=\pm \sqrt{11} \\y=-4.$

Step-by-step explanation:

$\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.$

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3 years ago

It’s less than 60 and greater than 55. If you add the digits the sum is 13.

labwork [276]

Between 60 and 55, 5+8=13

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3 years ago