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julia-pushkina [17]
3 years ago
12

A banner is in the shape of a right triangle. the area is 63 inches. The height of the banner is 4 in less than twice the width

of the banner. Find the height and width of the banner. Please show all work
Mathematics
1 answer:
Blizzard [7]3 years ago
5 0
Area=1/2 times base times height
note:bh=base times height

a=1/2bh
b=width

h=-4+2w
h=2w-4
subsitute
a=1/2w(2w-4)
a=1/2(2s^2-4w)
a=w^2-2w
a=63
63=w^2-2w
subtract 63 from both sdies
0=w^2-2w-63
factor
find what 2 numbers multiply to get -63 and add to get -2
the numbers are -9 and 7
so
0=(w-9)(w+7)
if xy=0 then x and/or y=0

so
w-9=0
w+7=0

solve each
w-9=0
add 9 to both sdies
w=9

w+7=0
subtract 7 from both sides
w=-7
width cannot be negative so this can be discarded

width=9

subsitute
l=2w-4
l=2(9)-4
l=18-4
l=14


legnth=14 in
width/base=9 in
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Maksim231197 [3]
The answer is -7/2 or -3.5
8 0
3 years ago
The diameter of a sphere is 4 centimeters.
ELEN [110]
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
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The volume of the sphere is 267.9 cubic centimeters.

7 0
3 years ago
Read 2 more answers
Find 4 geometric means between -5 and -125.
balandron [24]

The geometric means between -5 and -125 is; 25

<h3>How to find the geometric mean?</h3>

To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.

For example, geometric mean between A and B is;

G.M = √(A * B)

Thus, geometric mean between -5 and -125 is;

G.M = √(-5 * -125)

G.M = √625

G.M = 25

There could be other geometric means between this like;

G.M = √(-5 * -45) = 15

Or GM = √(-10 * -40) = 20

Read more about geometric mean at; brainly.com/question/17266157

#SPJ1

8 0
2 years ago
The diagram shows a part of a regular 10 sided polygon<br> work out the size of the angle marked x
OverLord2011 [107]

Answer:

b

Step-by-step explanation:

b

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A bottle contains 568 millilitres of milk Jack pours out half a litre how much milk is left?
pantera1 [17]

Answer:

68 mL

Step-by-step explanation:

1 liter = 1000 mL

1/2 of 1000 mL = 500 ml

568 - 500 = 68

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2 years ago
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