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3 years ago

The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is

Mathematics

1 answer:

cluponka [151]3 years ago

7 0

Answer:

The perimeter of the shape is 32.5

Step-by-step explanation:

Since the dashed line is not a perimeter,

we add the circumference of the circle plus the 3 sides of the rectangle

The circumference is of the half circle with its diameter being the opposite side of the rectangle

The opposite side is the length 10

So the radius is half of this which is 10/2 = 5

The circumference of the semicircle is thus;

pi * r = 22/7 * 5 = 15.71

full circle is 2 * pi * r

semi is half of full so we divide formula by 2

So let’s add up

15.71 + 10 + 3.4 + 3.4 = 32.51

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which equation and ordered pair represent the correct vertex form and vertex for j(x) = x^2 - 12 x +7?

Aliun [14]

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given the equation in standard form : ax² + bx + c : a ≠ 0

then the x-coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

j(x) = x² - 12x + 7 is in standard form

with a = 1, b = - 12 and c = 7, hence

$x_{vertex}$ = - $\frac{-12}{2}$ = 6

substitute x = 6 into j(x) for y- coordinate

y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29

vertex = (6, - 29 ) and

j(x) = (x - 6)² - 29 ← equation in vertex form

4 0

3 years ago

I need help ASAP jsnsnsbdbsbsnsnsnd

VashaNatasha [74]

Answer:

9 comedy

12 horror

Step-by-step explanation:

First, there are 360 degrees in a circle.

Comedy = 90 degrees

Action and romance = 90 degrees combined

Horror = 120 degree

Science fiction = 60 degrees

To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees

36 students took the survey.

1/4 × 36 = 9

Horror is 120 degrees out of 360 degrees or 1/3 of the circle.

1/3 × 36 = 12

6 0

3 years ago

Read 2 more answers

Write a number sentence to add 6 ones to 21.Write number sentence to add 6 tens to 21

Semenov [28]

I do suppose that you refer to adding these quantities:
6/1 + 21 = 6 + 21 = 27
and
6/10 + 21
= 3/5 + 21
= 3/5 + 105/5
= 108/5

8 0

4 years ago

Find the mode for a data set. 18,24,24,24,25,37,37,46

Sphinxa [80]

Answer:

24 is the mode

Step-by-step explanation:

Mode is the number that is most often seen.

18 is seen 1 time

24 is seen 3 times

25 is seen 1 time

37 is seen 2 times

46 is seen 1 time

24 is the mode because it is seen the most often.

4 0

3 years ago

Read 2 more answers

Suppose an individual's retirement account with a balance of $165,000 is transferred to a new investment plan that pays 8% inter

8090 [49]

Answer:

First: A
Second: C

Step-by-step explanation:

Remark

If this compounds, it means that the interest of the second year has the interest of the first year added to the principle. So if you gain 50 dollars as interest in the first year and the base amount was 1000 dollars, the second year will be taken as 1050 and you will find the interest on that.

Formula

Your formula should be A = P(1 + r)^t

Givens

A = ??
P = 165,000
r = 8% = 8/100 = 0.08
t = 3 years

Solution

A = 165000*(1 + 0.08)^3
A = 165000*(1.08)^3
A = 165000*1.259712
A = $207852

Answer: A

Problem 2

Givens

P = 5000
i = 17% = 17/100 = 0.17
t = 15 years
A = ?

Formula

A = P (1 + r)*t This is not compounded

Solution

A = 5000*(1 + 0.17)*15

A = [5000*1.17]*15

A = 5850 * 15

A = $87750

Answer C

8 0

4 years ago