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zvonat [6]
2 years ago
6

Calculator

Mathematics
1 answer:
MariettaO [177]2 years ago
4 0

Answer:

{84mm}^{2}

Step-by-step explanation:

Area of square= l×l

Area of square= 6mm × 6mn

Area if square = 36 mm²

Area of triangle 1= ½b ×h

Area of triangle 1= ½ (6mm)(8mm)

Area of triangle 1 = 24 mm²

Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight

: . area of triangles is 48mm²

Area of the figure= Area of square + Area of triangles

A of figure = 36+48

A of figure = 84 mm²

Option 2

Use trapezium formula

Area of trapezium= (a+b)/2 * h

a=6 mm (base)

b=8+6=14 mm (Base)

h= 6mm (height)

area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\  = 60mm ^{2}

Therefore the area of triangle= 24mm² as calculated in option 1

Area of the figure= Area of trapezium +Area of triangle

Area of figure = 60+24

= 84 mm²

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The answer is C. $24
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3 years ago
In Jude Company, land decreased $150,000 because of a cash sale for $150,000, the equipment account increased $60,000 as a resul
Fofino [41]

Answer:

The net cash provided by investing activities is $90,000

Step-by-step explanation:

In this question, we are asked to calculate the net cash that is provided by investing activities.

To calculate the net cash provided by investing activities, we simply subtract the cash used to purchase equipment from cash from sale of land.

Mathematically, net cash provided by investing activities = cash from sale of land - cash used to purchase equipment.

From the question, we can identify that cash from sale of land is $150,000 while cash used to purchase equipment is $90,000

We substitute these and get; $150,000 -$60,000 = $90,000

5 0
3 years ago
Solve the system by substitution.<br> y = -6x<br> - 2x - y = 16
vivado [14]

Answer:

X=4 and Y= -24

Step-by-step explanation:

Step 1: −6x for y in−2x−y=16:

−2x−y=16

−2x−−6x=16

4x=16

4x/4=16/4

x=4

----------------------------------------------------------------------

y=−6x

y=(−6)(4)

y=−24

y=-24

3 0
3 years ago
I NEED HELP PLEASE! :)
Mariana [72]

Answer:

A. The volume of the prism = 204.7 cm³

Step-by-step explanation:

The difficult part is finding the hight x in the triangle with sides 6 6 and 7.

The half of the base of this triangle = 3,5

So we have the right sided triangle with a hypothenusa of 6, one right side of 3,5 and one right side which is x (and is unknown).

Use Pythagoras to find the value of x.

x² + (3,5)² = 6²

x² = 6² - (3,5)²

x² = 36 - 12,25

x² = 23.75

x = +- SQRT(23.75)

{Only the positive part has a meaning.}

x = 4.873

So now it is easy.

The area of the triangle = 3.5 * x

with x = 4.873

The area of the triangle = 3.5 * 4.873

The area of the triangle = 17.06 cm²

The volume of the prism = 12 * the area of the triangle

The volume of the prism = 12 * 17.06

The volume of the prism = 204.67

rounded on 1 decimal.

The volume of the prism = 204.7 cm³

5 0
3 years ago
Over a two-hour time period, a snail moved 108 inches. How far is this in yards?
kaheart [24]
The snail moved 108 inches
108/36=3 yards
as 1 yard=36 in
5 0
3 years ago
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