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3 years ago

11

The perimeter of a parallelogram is 48 meters. The width of the parallelogram is 8 meters less than its length. Find the length

and the width of the parallelogram.

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer; length = 14 width = 10

Step-by-step explanation:

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3 years ago

A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow

mixer [17]

Answer:

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

- One consists of the mailbox, its shadow and the hypothenuse

- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

$\frac{m}{s_m}=\frac{t}{s_t}$

where

m = 36 in is the height of the mailbox

$s_m=28 in$ is the shadow of the mailbox

t is the height of the tree

$s_t=98 in$ is the length of the shadow of the tree

Solving for t, we find the height of the tree:

$t=\frac{m\cdot s_t}{s_m}=\frac{(36)(98)}{28}=126 in$

And since

1 feet = 12 inches

The height of the tree in feet is

$t=\frac{126}{12}=10.5 ft$

3 0

3 years ago

A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. T

Vladimir [108]

Answer:

the height after 2 seconds will be 128 feet

Step-by-step explanation:

Data provided in the question:

Initial velocity = 96 feet per second

The function of height of falling debris above the ground is given as:

h(t) = 96t - 16t²

A) To find height after time t = 2 seconds

substituting the value of time in the above function, we get

h(t) = 96 × 2 - 16 × 2²

or

h(t) = 192 - 16 × 4

or

h(t) = 192 - 64

or

h(t) = 128 feet

Hence,

the height after 2 seconds will be 128 feet

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3 years ago

20 pts! please help? <3

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The answer is a because i said so.

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