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DanielleElmas [232]
3 years ago
11

Connor is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square Inches? 9 inches 2.5 i

nches A 4 inches 15 inches 5 inches 2.5 mches 25 nches The area in square inches is:​

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

87.5 square inches

Step-by-step explanation:

The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.

Area of the belt knuckle = area of the 4 triangles + area of the rectangle

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 9 inches

height (h) = 2.5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*9*2.5)

= 22.5 inches²

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 4 inches

height (h) = 5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*4*5)

= 20 inches²

✔️Area of the rectangle = l*w

l = 9 inches

w = 5 inches

Area = 9*5 = 45 inches²

✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches

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slamgirl [31]

Answer:

90 degrees

Step-by-step explanation:

Angle BGD is supplementary with angle DGE.

BGD + DGE = 180

Since angle DGE is a right angle, then Angle BGD must also be a right angle:

BGD + 90 = 180

BGD = 90

7 0
3 years ago
Custom Greetings places an order for 300 reams of card stock paper. Its supplier offers Custom Greetings a 35% trade discount. I
Y_Kistochka [10]

Answer:

<em>Net price: $4972.50</em>

Step-by-step explanation:

<u>Percentages</u>

We know a ream of paper has a list price of $25.50. Custom Greetings placed an order for 300 of them. If they have purchased them at list price, the total price would have been

300*25.50=$7,650

But we also know there was a 35% trade discount, so the net price of their order is

$7,650-$7,650*35/100=$4972.50

7 0
4 years ago
8 + 4f = 3f solve for f
navik [9.2K]

Answer:

f=-8

Step-by-step explanation:

8+4f=3f

8+4f-4f=3f-4f (Subtract 4f from both sides of the equation to isolate f)

8=-f (Simplify)

-f=8 (Symmetric Property of Equality)

\frac{-f}{-1} =\frac{8}{-1} (Divide both sides of the equation by -1 to get rid of f's coefficient; remember that -f=-1*f, so -f has a coefficient of -1)

f=-8 (Simplify)

Hope this helps!

4 0
3 years ago
Read 2 more answers
What are factors of 27?
Artyom0805 [142]
The answer would be 3^33
6 0
4 years ago
Read 2 more answers
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
3 years ago
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