All categories

2 years ago

I need help on question 8.

Mathematics

1 answer:

melomori [17]2 years ago

3 0

Answer:

50.18°

Step-by-step explanation:

∠BAD = ∠BAC +∠CAD

102° = (8x+17)° +(9x+11)° . . . . . substitute given values

102 = 17x +28 . . . . . . . . . . simplify, divide by degrees

x = (102 -28)/17 = 74/17 . . . . . solve for x

Then the angle of interest is ...

∠CAD = (9x +11)° = (9(74/17) +11)° = 50 3/17°

∠CAD ≈ 50.18°

You might be interested in

What is the highest common factor of 27 and 36?

snow_lady [41]

Hello there!

The highest common factor, also known as the greatest common factor, or GCF, is the biggest factor that both numbers have in common.

Let's factor out our numbers.

27;
1 x 27
3 x 9

36;
1 x 36
3 x 12
4 x 9
6 x 6

Both of these numbers have these in common:
1, 3, 9.

Since 9 is the highest number in common, it is our GCF or highest common factor.

I hope this helps!

3 0

3 years ago

Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices

djyliett [7]

Answer: 33.041666

Step-by-step explanation:

Given: The translated equation : $300x+y = 10000$

To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get

$300x+87.5 = 10000$

Subtract 87.5 from both the sides , we get

$300x=9912.5$

Now, divide 300 on both the sides, we get

$x=\frac{9912.5}{300}\\\\\Rightarrow x=33.041666666$

3 1

2 years ago

Read 2 more answers

We want to have a survey and ask people working for IT companies if they prefer Skype to mobile phones for making calls. We want

weqwewe [10]

Answer:

For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:

Null hypothesis: $p =0.2$

Alternative hypothesis: $p >0.2$

And for this case we should use a righ tail test based on the alternative hypothesis.

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Null hypothesis: $p =0.2$

Alternative hypothesis: $p >0.2$

And for this case we should use a righ tail test based on the alternative hypothesis.

6 0

2 years ago

Help me for 1 year of being cool

RUDIKE [14]

Answer:

I think b

Step-by-step explanation: