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Travka [436]
2 years ago
15

What is the length of the longest side ?

Mathematics
1 answer:
exis [7]2 years ago
7 0

Answer:

11 feet (Option C)

Step-by-step explanation:

Let the longer side be l and the shorter side be b.

We know that,

→ Perimeter of rectangle = 2 ( longer side + shorter side )

Here,

  • Perimeter of rectangle is 32 feet.

→ 32 = 2 (l + b)

→ 32 = 2l + 2(5)

→ 32 = 2l + 10

→ 32 - 10 = 2l

→ 22 = 2l

→ \sf \dfrac{22}{2} = l

→ 11 = l

→<u> 11 feet = longer side</u>

\therefore <u>Length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>longer</u><u> </u><u>side</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u> </u><u>feet</u><u>.</u>

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The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio beca
UkoKoshka [18]

44

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44

5 0
2 years ago
What is meant by green mathematics?
ad-work [718]

The green mathematics tells about the impulse response of an in homogeneous linear differential operator.

According to the statement

we have to explain the green mathematics.

In mathematics, Actually there is a Green Function which was founded by a mathematician George Green.

In this function, a Green's function is the impulse response of an in homogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.

The example of green function is the Green's function G is the solution of the equation LG = δ, where δ is Dirac's delta function; the solution of the initial-value problem Ly = f is the convolution (G ⁎ f), where G is the Green's function.

Actually in this function, it gives the relationship between the line integral of two dimensional vector over a closed path by a integral.

In this there is a green theorem, which  relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C.

So, The green mathematics tells about the impulse response of an in homogeneous linear differential operator.

Learn  more about FUNCTION here brainly.com/question/2328150

#SPJ1

6 0
1 year ago
Which is a zero of the quadratic function f(x) = 16x?? + 32x - 9?
STALIN [3.7K]

Answer:

f(x) = 16x2 + 32x - 9

 

To find the "zeros", set f(x) = 0:

 

    0 = 16x2 + 32x - 9

 

The equation is solvable by factoring or by using the quadratic formula.  The factors (use the "ac" method) are:

 

    0 = (4x-1)(4x+9)

 

    x = 1/4 = 0.25 and x = -9/4 = -2.25

Step-by-step explanation:

6 0
2 years ago
Use the drawing tool(s) to form the correct answer on the provided graph.
Kitty [74]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y> \frac{1}{4}x+6 ------>inequality A

The solution of the inequality A is the shaded area above the dashed line y=\frac{1}{4}x+6

The y-intercept of the dashed line is (0,6)

The x-intercept of the dashed line is (-24,0)

The slope of the dashed line is positive m=1/4

y> 2x-1 ------>inequality B

The solution of the inequality B is the shaded area above the dashed line y=2x-1

The y-intercept of the dashed line is (0,-1)

The x-intercept of the dashed line is (0.5,0)

The slope of the dashed line is positive m=2

The solution of the system of inequalities is the shaded area between the two dashed lines

using a graphing tool

see the attached figure

4 0
2 years ago
37% of what number is 72?
tatiyna
The answer is 194.59

(72 x 100) / 37 = 194.59
4 0
2 years ago
Read 2 more answers
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