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3 years ago

Please help me solve

Mathematics

2 answers:

KIM [24]3 years ago

6 0

Answer:

(B) 18

Step-by-step explanation:

The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.

90 - 45 = 45

Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.

A = lw

A = (6)(3)

A = 18

The answer is B.

arsen [322]3 years ago

4 0

Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle $\angle x = 45^o$ , then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 $cm^2$

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3 years ago

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Alchen [17]

1a.

$0.42 = \frac{0.42}{1} = \frac{42}{100} = \frac{21}{50}$

1b. Manipulate the numbers using algebra.

$100x = 42.2222. \\ 10x = 4.2222...$

Then, subtract and solve for x.

$90x = 38 \\ x = \frac{38}{90} \\ x = \frac{19}{45}$

1c. Same thing, manipulate the numbers.

$100x = 42.4242... \\ x = 0.4242...$

Again, subtract and solve for x.

$99x = 42 \\ x = \frac{42}{99} \\ x = \frac{14}{33}$

2a. Jacob is pulling the 3 out of the root operation without getting the root of it.

$\sqrt{75} = \sqrt{3} \times \sqrt{25 } = 5 \sqrt{3}$

2b. Without using a calculator, the only way that is feasible is by trial and error, using perfect squares. For example: you know

$\sqrt{3}$

is somewhere between 1 and 2, as these are the closest perfect square roots to it. Try a value, say 1.5.

${1.5}^{2} = 2.25$

Not bad, seems a bit low. Lets try 1.6.

${1.6}^{2} = 2.56$

Seems like we can go bigger. 1.7 this time.

${1.7}^{2} = 2.89$

Alright, we are getting close to 3. 1.8.

${1.8}^{2} = 3.24$

Oops, too big. But no problem, because we now know that the value we are looking for is between 1.7 and 1.8, meaning the first decimal place must be 7. Let's keep going.

${1.75}^{2} = 3.0625 \\ {1.74}^{2} = 3.0276 \\ {1.73}^{2} = 2.9929$