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3 years ago

A trapezoid has bases of lengths 13 cm and 17 cm. The

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = $\frac{1}{2}$ × 9 × (13 + 17)

= 0.5 × 9 × 30

= 135 cm²

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3 years ago

What is the reciprocal of 1/3 ? Enter your answer in the space below, using a slash mark (/) as a fraction bar when needed.

MrRa [10]

Answer:

3/1 = 3

Step-by-step explanation:

reciprocal of 1/3 = 3/1

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3 years ago

In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.

Rashid [163]

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = $\frac{1}{100}$

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3 years ago

What is the domain and range of f(x)=2x^2+6x+2

lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity, +infinity).

To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).

3 0

3 years ago

Correct answer get the BRAINLIEST ANSWER!

OLga [1]

Here is how I completed the problem:

I started by creating a ratio:

$\frac{x}{0.18} + \frac{360}{0.10} = \frac{x+360}{0.15}$

Where 'x' is the desired amount of the 18% solution of sulfuric acid.

From here, I solved for 'x':

 $\frac{0.10x}{0.018} + \frac{360(0.18)}{0.018} = \frac{x+360}{0.15}$
$\frac{0.10x}{0.018} + \frac{64.8}{0.018} = \frac{x+360}{0.15}$
$\frac{0.10x+64.8}{0.018} = \frac{x+360}{0.15}$
$0.15(0.10x+64.8) = 0.018(x+360)$
$0.015x+9.72 = 0.018x+6.48$
$0.003x = 3.24$
$x = 1080$

∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.

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3 years ago