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3 years ago

What is the value of the expression (2/5+2/5)×3/10? HELP

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

<h3>What is the value of the expression (2/5+2/5)×3/10?</h3>

<h2>ANSWER</h2>

<h3>EXPLANATION:</h3>

$( \frac{2}{5} + \frac{2}{5} ) \times \frac{3}{10}$

$\frac{4}{5} \times \frac{3}{10}$

$\frac{6}{25}$

Decimal Form:

$0.24$

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The table below contains values for a linear relationship. One value from the table is missing.

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Step-by-step explanation:

Step 1; First, we need to determine the equation relating the x to the y values in the table. y is the dependent value whereas x is the independent value i.e. the value of y depends on the value of x.

Step 2; If we multiply the value of x with -2 and add the resulting answer with 1 we get the value of y.

y = -2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation

For x = 3, y = -2(3) + 1 = -6 + 1 = -5,

For x = -1, y = -2(-1) + 1 = 2 + 1 = 3,

For x = 0, y = -2(0) + 1 = 0 + 1 = 1,

For x = 2, y = -2(2) + 1 = -4 + 1 = -3,

For x = 4, y = -2(4) + 1 = -8 + 1 = -7,

For x = 7, y = -2(7) + 1 = -14 + 1 = -13.

So the value of y when x = 2 is -3.

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Step-by-step explanation:

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Select the correct answer. What is √125 in simplest form? OA. 5√5 B. 25√5 OC. 5√25 D. 15 Select the correct answer . What is √12

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Step-by-step explanation:

using the rule of radicals

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2 years ago

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In ΔABC, m∠A = 90° and AN is an altitude. If AB = 20 in and AC = 15 in, find BC, BN, NC, AN.

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Since ΔABC is a right triangle, we can use the Pythagorean theorem to find the missing side, BC as shown below.

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(An image is attached along the file to show the illustrations of the triangles with the larger one.)

Thus, we have ΔNBA~ΔABC and ΔNAC~ΔABC. So, for ΔNBA and ΔABC, we have

$\frac{BN}{BA} = \frac{BA}{BC}$
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$\overline{BN} = \frac{20(20)}{25} = 16$

and applying the same process with AN, we have

$\frac{AN}{BA} = \frac{AC}{BC}$
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We can also use the same method to find the missing sides in ΔANC. But, we can immediately find the value of NC as shown.

$\overline{NC} = \overline{BC} - \overline{BN}$
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Since ΔANC is a right triangle and two given lengths, we can find the third side, AN, through Pythagorean theorem.

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Thus, we have found all the missing sides. The picture attached also shows the missing sides' lengths in red.

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