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Inessa05 [86]
3 years ago
15

Find the area of the shape above ?

Mathematics
2 answers:
Alika [10]3 years ago
8 0

The shape is a polygon called a trapezoid. The trapezoid has two parallel sides. The bottom parallel side measures 2 units. The upper parallel side measures 2 + 2 + 2 = 6 units. The perpendicular to the bases is the height; it measures 2 units.

Area of trapezoid:

A = (B + b)h/2

where B = length of one base

b = length of other base

h = length of height

A = (6 + 2)(2)/2

A = 8

Answer: 8 units^2

Juli2301 [7.4K]3 years ago
4 0

Area of triangle = <em>A(t) </em>= 1/2(base x height)

Area of square = <em>A(s) = </em>base x height

<em>A(s) </em>= 2 x 2 = 4

<em>2(A(s))</em> = 2(1/2(2)(2) = 2(1/2(4)) = 2(2) = 4

Add the two areas together

4 + 4 = 8

8 units² is your answer

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Given functions f(x)=3x^2, g(x)= x^2-4x+5, and h(x)=-2x^2+4x+1<br> Rank them from least to greatest
Sindrei [870]
Ok, ranked by axis of symmetry

basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry

but there's an easier way

for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me


so

f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)

g(x)=1x^2-4x+5,
axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)


h(x)=-2x^2+4x+1
axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)


0<1<2
axisies
f(x)<h(x)<g(x)

order based on their axises of symmetry is f(x), h(x), g(x)
8 0
3 years ago
Suppose you bought D DVD's and B Books. If each DVD cost $14.95 and each book you bought off the 'specials' table cost $6.95, wr
Doss [256]

Answer:

14.95D + 6.95B

Step-by-step explanation:

Well a simple expression would make D the amount of DVD's you bought and B the amount of Books purchased.

In simple cases the prices don't change depending on that amount so you can multiply them by making it 14.95D and 6.95B.

Making the expression 14.95D + 6.95B.

8 0
3 years ago
Work out the area of this quarter circle of radius 8 cm.<br> Give your answer in terms of pie
Bess [88]

16pi

Step-by-step explanation:

pi x r² = ans ÷ 4 = Answer for area

Pi×8²=64pi ÷ 4 = 16pi

3 0
3 years ago
A softball fits snuggly inside a cubical box that is 4 inches on each side. What is the volume of the softball that fits snuggly
Natali5045456 [20]

Answer:

33.5 cubic inches.

Step-by-step explanation:

If the softball fits perfectly inside the cubical box, the softball is a sphere with diameter of 4 inches (radius os 2 inches).

The volume of a sphere is given by:

V= \frac{4}{3}\pi r^3

For r = 2 inches:

V= \frac{4}{3}*3.14* 2^3\\V=33.5\ in^3

The volume of the softball is 33.5 cubic inches.

4 0
3 years ago
PLEASE HELP!!! ASAP PLEASE !! IM BEGGING !!!!!!!
nadya68 [22]
ABC and CBH are right angles

DBC = 90 - 37 = 53
CBJ = 90 - 31 = 59

HBD = 180 - 37 = 143
or
HBD = 31 + 53 + 59 = 143 :)
3 0
3 years ago
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