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masya89 [10]
3 years ago
7

A sector from a radius 4 circle has an area of 8 square feet. Find the perimeter of the sector. Use an exact answer.

Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0

Answer:

I'm not sure how to solve the question what kind of math is it

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The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t
djyliett [7]

Option C: 316 is the predicted population when x=15

Explanation:

The regression equation for an exponential data is \log y=0.14x+0.4

Where x is the number of years and

y is the population

We need to determine the predicted population when x=15

The population x can be determined by substituting x=15 in the equation \log y=0.14x+0.4

Thus, we have,

\log y=0.14(15)+0.4

\log y=2.1+0.4

\log y=2.5

Using the logarithmic definition \log _{a}(b)=c then b=a^{c}

\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}

y=316.22776 \ldots

Rounding off to the nearest whole number, we get,

y=316

Thus, the predicted population when x=15 is 316

Hence, Option C is the correct answer.

7 0
3 years ago
PLEASE ANSWER FAST
Dmitrij [34]
Hello there!

The answer to this question will be answer choice A.

When using the SAS postulate, we need two pairs of sides and the pair of the angles between those two sides to be congruent.

It is given that one pair of sides are congruent, along with a pair of congruent angles.

We want the congruent angle to be between two congruent sides, thus AC must be congruent to EC in order for these triangles to be proven congruent by the SAS postulate.

Hope this helps and have an awesome day! :)
6 0
2 years ago
What is the value of the expression 3p (4p +5) + 3 for p= -1 is<br>plzzzzzzzz i want it fast
AleksAgata [21]

Answer:

0

Step-by-step explanation

well at least thats my guess!

we have to go by bidmas. so you substitute first!

so its going to be: 3(-1)(4(-1)+5)+3

all I did is that I replaced all p's by -1 and then you multiply it!

so its gonna be: -3(-4+5)+3

you first solve what's in the brackets which is -4+5 so the answer is 1 like this: -3(1)+3 now its much simpler. all we have to do is to expand the bracket so its going to be -3+3 so the answer is 0!

7 0
3 years ago
The diagram shows a square pizza box with side lengths of 18 inches. In the box is a circular pizza with a radius of 8 inches. W
kotegsom [21]
There is a difference of 123 square inches between the pizza box and the pizza.

18x18=324
pi8^2=201.0619

324-201=123
5 0
2 years ago
5. Find the discriminant of 15x2 = 4x – 1 and describe
diamong [38]

Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c) x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

8 0
2 years ago
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