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2 years ago

Which number is rational?

Mathematics

1 answer:

marishachu [46]2 years ago

8 0

Answer:

Option D, $\sqrt{16}$ , since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

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Experts please answer ASAP! Thank you in advance, and remember to wash your hands with antibacterial soap for 1 minute.

Tems11 [23]

area of trapezoid with dimensions $b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}$ is $Area =10in^2$ .

<u>Step-by-step explanation:</u>

We know that area of trapezoid is , area = $(\frac{a+b}{2} )h$ , where a & b are bases and h is height . We have , $b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}$ .

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

⇒ $Area = (\frac{a+b}{2} )h$

⇒ $Area = (\frac{b_1+b_2}{2} )h$

⇒ $Area = (\frac{4\frac{1}{4} +3\frac{3}{4}}{2} )(2\frac{1}{2} )$

⇒ $Area = (\frac{\frac{17}{4} +\frac{15}{4}}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{\frac{17+15}{4}}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{\frac{32}{4}}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{8}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{40}{4} )$

⇒ $Area =10in^2$

Therefore, area of trapezoid with dimensions $b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}$ is $Area =10in^2$ .

6 0

3 years ago

Which expression shows (3-4i)+(-7-8i) in simplest form?

expeople1 [14]

Answer:

B) -4 - 12i

Step-by-step explanation:

(3-4i)+(-7-8i) = 3 -4i - 7 - 8i

= 3 - 7 - 4i -8i

= -4 - 12i

3 0

3 years ago

Find the indicated length or angle measure (to the nearest tenth).

skad [1K]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

$z^2=x^2+y^2-2xy\cos Z$

STEP 2: Write the given sides

$x=4,y=6,Z=41^{\circ},z=?$

STEP 3: Find the value of z

$\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}$

Hence, the indicated length is 4.0

4 0

1 year ago

What is 9. 24 repeating as a mixed number in simplest form?

Serga [27]

The recurring decimal number 9.2424... expressed in mixed number is $9\frac{24}{99}$