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2 years ago

If x = 12 units, y = 3 units, and h = 14 units, find the area of the parallelogram shown above using decomposition.

Mathematics

1 answer:

belka [17]2 years ago

8 0

If by decomposition you mean breaking it into parts then

break it into 2 triangles and 1 rectangle

left to right

triangle with base y and height h

h=10

y=3

area of traignel=1/2bh

aera=1/2(10)(3)

area=5(3)

area=15

rectangel of legnth x and height h

area=legnth timwe width

x=8

h=10

area=8 times 10

aera=80

last triangle

should

add

15+80+15=120

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Use the Zero Product Property to find the x-intercepts for x^2+6x=y

Semmy [17]

Answer:

$x=0\ or\ x =-6$

Step-by-step explanation:

Given

$x^2+6x=y$

Required

Determine the x intercepts

To get the x intercepts, we simply set y to 0

Substitute 0 for y;

$x^2+6x=0$

Factorize:

$x(x +6) = 0$

Apply zero product property

$x=0\ or\ x + 6 =0$

$x=0\ or\ x =-6$

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2 years ago

A restaurant serves chicken, roast beef and pork chops as a choice of meats. For choice of potatoes a customer may choice baked,

NNADVOKAT [17]

Answer:

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6 0

2 years ago

A target at a shooting range is 60 yards away and 12 feet high. At what angle must the rifle be set to hit the target? Round to

Sunny_sXe [5.5K]

Answer:

The angle must be at 3.81°

Step-by-step explanation:

The horizontal distance of the shooting range is 60 yards

The height of the target is 12ft.

We'll have to convert the value of the height from ft to yards.

1 yards = 3 foot

X yards = 12ft

X = 4yards.

The height of the target is 4 yards.

Now, to find the angle at which the shooter makes with the zenith of the target(height), we'll have to use use SOHCAHTOA

To know which of the rules we'll follow, a pictorial illustration of the values will help

(See attached document for better illustration).

From the diagram, we can see we have values at both opposite and adjacent.

Opposite = 4

Adjacent = 60

Hence we can use Tanθ = opposite/ adjacent

Tanθ = 4 / 60

Tanθ = 0.067

θ = Tan⁻0.067

θ = 3.81°

The angle at which the rifle must be set to hit the target is 3.81°

5 0

3 years ago

WILL GIVE BRAINLIEST!

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The answer will be B , the second one

6 0

3 years ago

Read 2 more answers

Put the numbers in order from least to greatest.

koban [17]

Answer:

$0.5\times{10}^{-5}$ ,

0.00025,

$3.5\times{10}^{-4}$ ,

$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

Step-by-step explanation:

We can do it this way.

First, let us clear off the powers by multipying each number by

${10}^{5}$

This implies that,

$1.25 \times {10}^{ - 1} = 1.25 \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} = 125 \times {10}^{ - 2} \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{( - 2 - 1 + 5)}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{2}= 125 \times 100 = 12500$

$0.00025 = 25 \times {10}^{ - 5} \times {10}^{5}$

$\implies0.00025 = 25 \times {10}^{ - 5 + 5} = 25$

$0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3}\times {10}^{5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3 + 5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{2} = 25 \times 100 = 2500$

$0.025 \times 10=25 \times {10}^{ - 3} \times10 \times {10}^{5}$

$\implies0.025 \times10=25\times{10}^{(- 3 + 1 + 5)}=25\times{10}^{3}$

$\implies0.025\times10=25\times1000 = 25000$

$0.5\times {10}^{-5}=0.5\times {10}^{ - 5} \times {10}^{5}$

$0.5\times{10}^{-5}=0.5\times {10}^{(- 5+5)}=0.5$

$1.45 \times {10}^{-3} = 145 \times {10}^{ - 2} \times {10}^{ - 3} \times {10}^{5}$

$\implies1.45 \times {10}^{-3} = 145$

$25.4 \times {10}^{ - 4} = 254 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

$\implies25.4 \times {10}^ {-4} = 254$

$3.5 \times{10}^{-4}=35 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

$\implies3.5 \times{10}^{-4}=35$

Arranging in order from the smallest, we have;

0.5,25,35,145,254,2500,12500,25000

Hence,

$0.5\times{10}^{-5}$ ,

0.00025,

$3.5\times{10}^{-4}$ ,

$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

5 0

3 years ago