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2 years ago

Please help me with both questions!

Mathematics

1 answer:

vova2212 [387]2 years ago

7 0

Answer:

maximum area will be 1058 square yards

maximum height will be 81 feet

Step-by-step explanation:

P = 2L +2W

but in this case it will be P= L+2W and P=92 yards

L+2W = 92

Solve for L , L = 92-2W

The area of rectangle A = L x W

Plug in L and simplify: A = (92-2W)W =92W -2W²

Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.

Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.

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2 years ago

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Approximately how many meters are equal too 11.4 ft

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Approximately 3.47 meters is equal to 11.4 feet

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2 years ago

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Pls help is due for today pls

pentagon [3]

Answer:

Part A: The rate of change was greater in case of the graph.

Part B: The figure shows the graph of function A in Redline and Function B in blue line

Part C : Initial value of function B is greater than Function A.

Step-by-step explanation:

Here, Function A show graph of a line and Function show table show a set of value of x and y.

Part A). Which function show greater rate of change.

The slope of line is given by m = $\frac{Y2-Y1}{X2-X1}$

For function A:

Given graph passes through points (04) and (2,12)

The slope of line is m= $\frac{12-4}{2-0}$

= $\frac{8}{2}$

= 4

For function B:

Given the table has points (012) and (2,14)

The slope of line is m= $\frac{14-12}{2-0}$

= $\frac{2}{2}$

= 1

Therefore, The rate of change was greater in case of graph.

Part B). Plot the graph of a function B onto the graph of a function A

The figure shows the graph of function A in Redline and Function B in blueline

Line of function A is more tilted toward the y-axis than Line of function B.

Therefore, Rate of change of function A is greater than Function B.

Part C). Which function has greater initial value?

For function A:

From the graph of part B,

When x=0 y=4

For function B:

From the graph of part B,

When x=0 y=12

Therefore, Initial value of function B is greater than Function A.

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3 years ago

What is the LCM of 13/16a^3b^3, 11/30a^5b

vichka [17]

Answer:

The L.C.M of given numbers is $\frac{143}{240}a^5b^3$ .

Step-by-step explanation:

The given expressions are

$\frac{13}{16}a^3b^3$

$\frac{11}{30}a^5b$

The factors of given expressions are

$\frac{13}{16}a^3b^3=\frac{13}{8}\times \frac{1}{2}\times a\times a\times a\times b\times b\times b$

$\frac{11}{30}a^5b=\frac{11}{15}\times \frac{1}{2}\times a\times a\times a\times a\times a\times b$

$L.C.M.=\frac{13}{8}\times \frac{1}{2}\times a\times a\times a\times b\times b\times b\times \frac{11}{15}\times a\times a$

$L.C.M.=\frac{143}{240}\times a^5\times b^3$

$L.C.M.=\frac{143}{240}a^5b^3$

Therefore, the L.C.M of given numbers is $\frac{143}{240}a^5b^3$ .

8 0

2 years ago