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densk [106]
3 years ago
10

9 Check: 6,350 - 2,460

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

3890

Step-by-step explanation:

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Kite DCFE is inscribed in circle A shown below.
kogti [31]

Answer:

∠DEF =56°

Step-by-step explanation:

We are given that arc DEF = 248°

So, arc DCF = 360°-248°

arc DCF = 112°

Now we are required to find the ∠DEF.

So, we will use Inscribed angle theorem.  

Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.  

Intercepted arc = arc DCF = 112°

Inscribed angle = ∠DEF

⇒∠DEF = \frac{1}{2}arcDCF

⇒∠DEF = \frac{1}{2}\times 112^{\circ}

⇒∠DEF =56°

Hence the measure of ∠DEF =56°

7 0
3 years ago
Read 2 more answers
As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not. Males Enjoyed: 47 D
Norma-Jean [14]

Answer:

(B) a = 41%, b = 3%

Step-by-step explanation:

The result from the survey is given below:

\left|\begin{array}{c|c|c|c}&Enjoy&$Did not Enjoy&$Total\\--&--&--&--\\Male&47&13&60\\Female&53&3&56\\Total&100&16&116\end{array}\right|

The second table is given as:

\left|\begin{array}{c|c|c|c}&Enjoy&$Did not Enjoy&$Total\\--&--&--&--\\Male&a&11\%&\\Female&46\%&b&\\Total&&&100\end{array}\right|

Now, from the first table

Total Number of Respondents =116

Therefore:

\dfrac{47}{116}*100 \approx 41\%\\\dfrac{13}{116}*100 \approx 11\%\\\dfrac{53}{116}*100 \approx 46\%\\\dfrac{3}{116}*100 \approx 3\%

Therefore:

a=41%

b=3%

The correct option is B.

4 0
3 years ago
Read 2 more answers
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Leni [432]

This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.

What effect does decreasing the temperature of a room have on a lifespan of a battery?

Which variable is highlighted in red, bolded tex?  

a . Independent

b . Dependent

c . Control

d . None

But the answer to both the independent and dependent variables will be provided and explained in detail.

Answer:

Independent variable: decrease in temperature

Dependent variable: lifespan of battery

 Step-by-step explanation:

The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.

In the given example, a decrease in temperature  is the dependent variable as it is changing and the lifespan of battery  is the dependent variable as it is responding to the independent variable ?9decrease in temperature).

8 0
3 years ago
System of equations
nalin [4]

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

-3x+y=9 -----> equation A

2x-y=-6 -----> equation B

Adds equation A and equation B

-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3

Find the value of y

-3(-3)+y=9

9+y=9

y=9-9=0

The solution of the system of equations is the point (-3,0)

4 0
3 years ago
Help me!<br> what is the domain or range?
Lapatulllka [165]
Domain is [-10,∞) 
2 is included , only at x=2 new function begins
Range is the values of y , so range  is [-7]∪[-4,6
I think, it should be  like this.
5 0
4 years ago
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