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A trapezoid has bases of 7 cm and 5 cm and a height of 3 cm. what is its area?
The area of a trapezoid can be calculated using the formula: ( \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h ), where ( b_1 ) and ( b_2 ) are the lengths of the bases, and ( h ) is the height. For this trapezoid, the area is ( \frac{1}{2} \times (7 , \text{cm} + 5 , \text{cm}) \times 3 , \text{cm} = \frac{1}{2} \times 12 , \text{cm} \times 3 , \text{cm} = 18 , \text{cm}^2 ). Thus, the area of the trapezoid is 18 cm².
What is the h3o plus in a solution with OH minus 2 x10 -8 m?
To find the concentration of ( \text{H}_3\text{O}^+ ) in a solution with ( \text{OH}^- = 2 \times 10^{-8} , \text{M} ), we can use the water dissociation constant ( K_w = 1 \times 10^{-14} ) at 25°C. The relationship is given by ( [\text{H}_3\text{O}^+] = \frac{K_w}{[\text{OH}^-]} ). Substituting in the values, we find ( [\text{H}_3\text{O}^+] = \frac{1 \times 10^{-14}}{2 \times 10^{-8}} = 5 \times 10^{-7} , \text{M} ).
What is the perimeter of a 6cm by 2cm rectangle?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle measuring 6 cm by 2 cm, the perimeter would be ( P = 2 \times (6 , \text{cm} + 2 , \text{cm}) = 2 \times 8 , \text{cm} = 16 , \text{cm} ). Therefore, the perimeter of the rectangle is 16 cm.
What is 2a squared times 3sum simplified?
To simplify the expression (2a^2 \times 3\text{sum}), you multiply the coefficients and the variables. This results in (6a^2 \cdot \text{sum}). Therefore, the simplified form is (6a^2 \text{sum}).
A block of wood has deminsions 3cm X 6cm X 9cm?
The block of wood has a volume calculated by multiplying its dimensions: (3 , \text{cm} \times 6 , \text{cm} \times 9 , \text{cm} = 162 , \text{cm}^3). Its surface area can be found using the formula (2(ab + bc + ac)), which results in (2(3 \times 6 + 6 \times 9 + 9 \times 3) = 2(18 + 54 + 27) = 2 \times 99 = 198 , \text{cm}^2). Thus, the block has a volume of 162 cm³ and a surface area of 198 cm².
What is the perimeter of An A4 size paper?
An A4 size paper measures 210 mm by 297 mm. To calculate the perimeter, you use the formula for the perimeter of a rectangle, which is ( P = 2 \times (length + width) ). Therefore, the perimeter of an A4 paper is ( 2 \times (210 , \text{mm} + 297 , \text{mm}) = 2 \times 507 , \text{mm} = 1014 , \text{mm} ).
What is the volume of a rectangle measuring 3 cm x 2 cm x 2 cm in milliliters?
The volume of a rectangular prism can be calculated using the formula ( V = length \times width \times height ). For a rectangle measuring 3 cm x 2 cm x 2 cm, the volume is ( 3 , \text{cm} \times 2 , \text{cm} \times 2 , \text{cm} = 12 , \text{cm}^3 ). Since 1 cm³ is equivalent to 1 milliliter, the volume is 12 milliliters.
What is the volume of a salt crystal measuring 2.44 x 10 -2 m by 1.4 x 10 -3 m by 8.4 x 10 -3 m?
To find the volume of the salt crystal, multiply its dimensions together: [ \text{Volume} = 2.44 \times 10^{-2} , \text{m} \times 1.4 \times 10^{-3} , \text{m} \times 8.4 \times 10^{-3} , \text{m} ] Calculating this gives: [ \text{Volume} = 2.44 \times 1.4 \times 8.4 \times 10^{-8} , \text{m}^3 \approx 2.88 \times 10^{-7} , \text{m}^3 ] Thus, the volume of the salt crystal is approximately ( 2.88 \times 10^{-7} , \text{m}^3 ).
How many joules is 2 newtons through 10 metres?
Work done is calculated using the formula ( \text{Work} = \text{Force} \times \text{Distance} ). In this case, with a force of 2 newtons over a distance of 10 meters, the work done is ( 2 , \text{N} \times 10 , \text{m} = 20 , \text{joules} ). Therefore, 2 newtons through 10 meters equals 20 joules.
How manu times should I feed mu dog per day?
I think that 2 times a day
Why does tripling the side lengths of a right triangle affect its area?
Tripling the side lengths of a right triangle increases its area by a factor of nine. The area of a triangle is calculated using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). When the base and height are both tripled, the new area becomes ( \frac{1}{2} \times (3 \times \text{base}) \times (3 \times \text{height}) = 9 \times \text{Area} ). Thus, the area grows by the square of the scale factor applied to the side lengths.
What is volume of prism with height of 6cm and width of 6cm and length of 6cm?
The volume of a prism can be calculated using the formula ( V = \text{base area} \times \text{height} ). For a rectangular prism with width, length, and height of 6 cm, the base area is ( 6 , \text{cm} \times 6 , \text{cm} = 36 , \text{cm}^2 ). Therefore, the volume is ( 36 , \text{cm}^2 \times 6 , \text{cm} = 216 , \text{cm}^3 ).
