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3 years ago

Answer this question right

Mathematics

2 answers:

Sever21 [200]3 years ago

6 0

I believe the answer is D) 12\/-2 (I don't know how to write it with a normal keyboard. lol) Because sides A and B are both 6\/-2. A^2 + B^2 = C^2

S_A_V [24]3 years ago

4 0

$\sin(\theta) = \dfrac{\text{opp}}{\text{hyp}}$

$\sin(45) = \dfrac{6 \sqrt{2} }{x}$

$x= \dfrac{6 \sqrt{2} }{\sin(45)}$

$x= 12$

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Find the area of the shape shown below.

miskamm [114]

Answer:

28 units^2

Step-by-step explanation:

1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).

2. Next, we should know the area formulas of the square and trapezoid.

Square: $s^2$ , where s = side
$\frac{a+b}{2}h$ , where a and b = top and bottom and h = height

3. Solving Area of Square and Trapezoid

$4^2 = 4 * 4 = 16$ . Area of square is 16
$\frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12$ . Area of trapezoid is 12.
16 + 12 = 28

Therefore, the area of the figure is 28 units^2.

5 0

2 years ago

What is the coefficient of abc when the product (a + 2b)(b + 2c)(c + 2a) is expanded and

oksian1 [2.3K]

Answer:

The coefficient is 9

Step-by-step explanation:

(a)(b)(c)+(a)(2c)(2a)+(2b)(b)(c)+(2b)(2c)(2a)

abc+4ca^2+2cb^2+8abc

9abc+4ca^2+2cb^2

8 0

3 years ago

A sequence is formed by adding 1 to each square number.

MrRa [10]

Answer:

32 nd term

Step-by-step explanation:

The formula for the sequence is

n² + 1 ( that is 1 added to each square number )

Equate to 1025 and solve for n

n² + 1 = 1025 ( subtract 1 from each side )

n² = 1024 ( take the square root of both sides )

n = $\sqrt{1024}$ = 32

6 0

3 years ago

I need help pls help

Sauron [17]

Answer:

I could be wrong, but I think it's D

8 0

3 years ago

Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process

Nikolay [14]

Answer: c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let $\mu$ be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : $H_0 : \mu =135$

Alternative hypothesis : $H_a : \mu >135$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : $\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overlien{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=42,\ \overline{x}=140\ \&\ \sigma=24$ , we have

$z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35$

Critical one-tailed test value for 0.10 significance level :

$z_{0.1}=1.28$

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0

3 years ago