What is the period of the graph of y=1/2 sin (2πx) -3?
A. 1
B. 1/2
C. 3
D. 2π

The length of the arc with a central angle of 205° is 25.03 cm

The formula for calculating the length of an arc is expressed as:

L = rtheta

Given the following parameters

r = 7cm

theta = 205° = 3.57792 radians

L = 7(3.57792)

L = 25.04544

Hence the length of the arc with a central angle of 205° is 25.03 cm

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Answer:

the second option

Step-by-step explanation:

SAS is side angle side. so, we need 2 sides and the enclosed angle.

since G is the transformed M, and GL is the transformed side TM, that also means L correlates to T and S to D.

for SAS we need both sides of the angles M and G.

TD and SL are not satisfying this condition.

only MD and SG do.

Step-by-step explanation:

The distance she drove east from the starting point is 54.54 miles.

The given parameters include;

initial displacement of Erica, d₁ = 25 miles south

final position of Erica, d₂ = 60 miles east

The displacement of Erica from the initial position as shown in the diagram is calculated as;

Apply Pythagoras theorem, to solve for x;

x² = d₂² - d₁²

x² = 60² - 25²

x² = 2975

x = √2975

x = 54.54 miles

Therefore, the distance she drove east from the starting point is 54.54 miles.

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Answer:

Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.

Step-by-step explanation:

There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.

Answer:

The original price is 80

The new price is 48

Step-by-step explanation:

Let x be the original price

x - .4x = new price

.6x = new price

.4x = markdown

.4x= 32

.4x/.4 = 32/.4

x =80

The original price is 80

.6x = new price

.6(80) =  48

Answer:

an = 400*(1/2)^(n - 1) which is C is the most common answer.

Step-by-step explanation:

What did you have to do to get 400 as the first term?

There are two answers.

an = 400 * (1/2)^(n - 1)

an = 400 * (1/2)^n

Which one is the answer?

The answer is the one that leaves 400 as the first term.

a1 = 400*(1/2)^(n-1) should be the answer.

400*(1/2)^n  is unfortunately sometimes used. In which case, the first term is a^0

A1 = 400 (1/2)^(n - 1) is the usual for that describes the series.

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

uh

Step-by-step explanation:

my guy, I DK.

Answer:

2.6

Step-by-step explanation:

We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:

h^2 = a^2 + b^2

4^2 = 3^2 +b^2

16= 9 +b^2

16-9= b^2

7= b^2

(take square root in both sides)

b= 2.65

round to nearest 10th = 2.6

answer by Gauthmath

Answer:

Missing side is 2.6

3^2 + x^2 = 4^2

9 + x^2 = 16

-9            -9

x^2 = 7

([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]

x = 7

Find the approximation o the square root of 7 in fractions then carry out the long division.

Or

Approx. is 2 3/5 which equals 2 6/10 which equals 2.6

Answer:

60

Step-by-step explanation:

b = the hypotenuse of a right angle triangle

a = the adjacent side.

R is being defined by the cosine

cos(R) = adjacent /  hypotenuse

adjacent = 16* sqrt(2)

hypotenuse = 32*sqrt(2)

Cos(R) = 16*sqrt(2) / 32*sqrt(2)      sqrt(2) cancels.

cos(R) = 1/2

R = cos-1(1/2)

R = 60 degrees.

Answer:

Step-by-step explanation:

[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]

Answer:

12

Step-by-step explanation:

f(x)=16x-30

g(x)=14x-6

f(x) - g(x) = 16x-30 - (14x-6)

               = 16x - 30 - 14x +6

                = 2x -24

Set this equal to zero

2x-24 = 0

Add 24 to each side

2x-24 +24 = 0+24

2x = 24

Divide by 2

2x/2 =24/2

x = 12

x=12

Answer:

Solution given:

f(x)=16x-30 and g(x)=14x-6

(f-g)(x)=0

or

f(x)-g(x)=0

16x-30-14x+6=0

2x-24=0

2x=24

x=24/2

x=12

Answer:

Step-by-step explanation:

Let the number is x, then we have:

Answer:

base = 13 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 52 and h = 8 , then

[tex]\frac{1}{2}[/tex] b × 8 = 52

4b = 52 ( divide both sides by 4 )

b = 13

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

Answer:

12 lemons

Step-by-step explanation:

CP of 15 lemon = ₹ 1

Profit = 25 %

SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]

    [tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]

SP of 15 lemons =  ₹  [tex]\frac{5}{4}[/tex]

Number of lemon for  ₹  [tex]\frac{5}{4}[/tex]  = 15

Number of lemons for  ₹  1 = 15 ÷ [tex]\frac{5}{4}[/tex]

                                            [tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]

Answer:

8,3,-1,3,15

Step-by-step explanation:

y=x^2-1

y(-3)=8

y(-2)=3

y(0)=-1

y(2)=3

y(4)=15

Answer:

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

Answer:

14

Step-by-step explanation:

19 - 5 = 14

Answer:

N'=(0, 0)

K'=(4,4)

I'=(4, 0)

Answer:  [tex]\$202[/tex]

Step-by-step explanation:

Given

Jennifer has $400 more than Brian

Suppose Brian has x amount initially

So, Jennifer has 400+x

If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with

[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]

Thus, Brain has [tex]\$202[/tex]

Answer:

19 units

Step-by-step explanation:

count the squares around the shape for the slanted part treat it like a rectangle and just count the squares from the pointy spot to the other side where it stops

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

Answer:

15

Step-by-step explanation:

[tex]37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15[/tex]

Answer:

option A. twelve because hypotenuse angle is equal to perpendicular to the sum base

Answer:

x = price for adult = 306 Baht

y = price for children = 221 Baht

Step-by-step explanation:

Let

x = price for adult

y = price for children

2x + 2y = 1054 (1)

x + 4y = 1190 (2)

From (1)

x = 1190 - 4y

Substitute x = 1190 - 4y into (1)

2x + 2y = 1054 (1)

2(1190 - 4y) + 2y = 1054

2380 - 8y + 2y = 1054

- 8y + 2y = 1054 - 2380

- 6y = - 1326

y = -1326/-6

y = 221

Substitute y = 221 into (2)

x + 4y = 1190 (2)

x + 4(221) = 1190

x + 884 = 1190

x = 1190 - 884

= 306

x = price for adult = 306 Baht

y = price for children = 221 Baht

Answer:

The given expression will be greater than zero.

Step-by-step explanation:

If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;

but b^2 is > 0.

Then (5a^3)*(b^2) < 0

and if we divide this quantity by a + b (which is negative), the end result will be > 0.