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2 years ago

I am not sure of the answer which one of the option is it?

Mathematics

1 answer:

Aneli [31]2 years ago

6 0

Step-by-step explanation:

well, there are a few things you have to burn into your brain for all times. one of these is : the sum of all angles in a triangle is always 180 degrees. it does not matter what type of triangle it is. the sum is always 180 degrees.

so,

180 = A + 80 + 40

60 degrees = A

so, B. is the right answer.

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The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the c

Andrews [41]

Answer:

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).

Step-by-step explanation:

We have to perform an hypothesis test on the mean.

The null and alternative hypothesis are:

$H_0: \mu=10\\\\H_1: \mu \neq 10$

The significance level is $\alpha=0.05$ .

The test statistic t can be calculated as:

$t=\frac{M-\mu}{s/\sqrt{N} } =\frac{11.2-10}{3.1/\sqrt{50} }=2.737$

The degrees of freedom are:

$df=N-1=50-1=49$

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.

This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

7 0

3 years ago

For all real numbers a, b, and c: if a=b, then a + c = b + c. This is the ____ ____ of Equality.

4vir4ik [10]

Addition Property of Equality

hope that helps

3 0

3 years ago

Read 2 more answers

What is the answer of the problem; 3x-4+2(x-5)=9x+8-2x

alexgriva [62]

Answer:

The answer to the given problem $3x-4+2(x-5)=9x+8-2x$ is x=-11

Step-by-step explanation:

Given problem is $3x-4+2(x-5)=9x+8-2x$

To solve the equation:

$3x-4+2(x-5)=9x+8-2x$

$3x-4+2x-10=9x+8-2x$ (multiplying the term with factor)

$5x-4-10=7x+8$ (adding the like terms)

$5x-14=7x+8$ (adding the like terms)

Now taking the terms to one side

$5x-14-7x-8=0$

$-2x-22=0$ (adding the like terms)

$-2x=22$

$-x=\frac{22}{2}$

$-x=11$

x=-11

Therefore x=-11

The answer to the given problem $3x-4+2(x-5)=9x+8-2x$ is x=-11

5 0

3 years ago

find the area of the trapezium whose parallel sides are 25 cm and 13 cm The Other sides of a Trapezium are 15 cm and 15 CM

Snezhnost [94]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - A trapezium ABCD with non parallel sides of measure 15 cm each ! along , the parallel sides are of measure 13 cm and 25 cm

To find - Area of trapezium

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

Construction -

$draw \: CE \: \parallel \: AD \: \\ and \: CD \: \perp \: AE$

Now , we can clearly see that AECD is a parallelogram !

$\therefore$ AE = CD = 13 cm

Now ,

$AB = AE + BE \\\implies \: BE =AB - AE \\ \implies \: BE = 25 - 13 \\ \implies \: BE = 12 \: cm$

Now , In ∆ BCE ,

$semi \: perimeter \: (s) = \frac{15 + 15 + 12}{2} \\ \\ \implies \: s = \frac{42}{2} = 21 \: cm$

Now , by Heron's formula

$area \: of \: \triangle \: BCE = \sqrt{s(s - a)(s - b)(s - c)} \\ \implies \sqrt{21(21 - 15)(21 - 15)(21 - 12)} \\ \implies \: 21 \times 6 \times 6 \times 9 \\ \implies \: 12 \sqrt{21} \: cm {}^{2}$

Also ,

$area \: of \: \triangle \: = \frac{1}{2} \times base \times height \\ \\\implies 18 \sqrt{21} = \: \frac{1}{\cancel2} \times \cancel12 \times height \\ \\ \implies \: 18 \sqrt{21} = 6 \times height \\ \\ \implies \: height = \frac{\cancel{18} \sqrt{21} }{ \cancel 6} \\ \\ \implies \: height = 3 \sqrt{21} \: cm {}^{2}$

Since we've obtained the height now , we can easily find out the area of trapezium !

$Area \: of \: trapezium = \frac{1}{2} \times(sum \: of \:parallel \: sides) \times height \\ \\ \implies \: \frac{1}{2} \times (25 + 13) \times 3 \sqrt{21} \\ \\ \implies \: \frac{1}{\cancel2} \times \cancel{38 }\times 3 \sqrt{21} \\ \\ \implies \: 19 \times 3 \sqrt{21} \: cm {}^{2} \\ \\ \implies \: 57 \sqrt{21} \: cm {}^{2}$

hope helpful :D

6 0

2 years ago

Can you help me with this?

horsena [70]

Answer:

Step-by-step explanation:

it this answer

7 0

2 years ago