1. Find the value of x. in the below given diagram

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Answer:

  see attached

Step-by-step explanation:

The amplitude of the function is half the difference between the maximum and minimum:

  A = (8 -(-4))/2 = 6

The multiplier of t is (2π)/period, so is ...

  B = (2π)/12 = π/6

The vertical offset is the average of the minimum and the maximum:

  D = (8 +(-4))/2 = 2

The peak is at t=0, so the cosine function is the appropriate choice.

__

Then the function is ...

  f(t) = Acos(Bt) +D

  f(t) = 6cos(πt/6) +2

Answer:

scale facror:

1

:

2

x = 5

Perimeter = 5+4+4+5+6 = 24

Answer:

6

Step-by-step explanation:

because 3 checks for 5 bucks 3x5=15  two bill for 2 dollars each 15+4=19

25-19=6

Answer:

m = 10

Step-by-step explanation:

The values of w is inversely proportional to m

Mathematically the above statement is expressed as:

w ∝ 1/m

w = k × 1/m

w = k/m

Where k is the Proportionality Constant

First step

Solve for k

If w=8 then m=25

w = k/m

8 = k/25

Cross Multiply

k = 25 × 8

k = 200

Second step

what is m when w=20? Show me the steps please

We solve for m

w = k/m

k = 200

20 = 200/m

Cross Multiply

20m = 200

m = 200/20

m = 10

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

Answer:

Is there a picture?

Step-by-step explanation:

Answer:

a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) [tex]D=[0,5][/tex]

c) [tex]R=[0,35][/tex]    

Step-by-step explanation:

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

[tex]D=[0,5][/tex]

c) The range is all values of height from 0 to 35 meters.

[tex]R=[0,35][/tex]      

I hope it helps you!

Answer:

(0.5 , -1.5)

Step-by-step explanation:

intersection of their diagonals (E): right at the mid-point of segment AC or BD

A (5 , 0)  and C (-4 , -3): E (x , y)

x = (5 + -4 ) / 2 = 0.5

y = (0 + -3 ) / 2 = - 1.5

E ( 0.5 , - 1.5)

check with BD: x = (3 + -2) / 2 = 0.5        y = (-3 + 0) / 2 = - 1.5

Answer:

x = 10.

Step-by-step explanation:

x + (-8) = 2.

First, isolate x by adding 8 to both sides.

x = 8 + 2.

Next, solve.

x = 10.

Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.

10 - 8 = 2.

2 = 2.

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

6

Step-by-step explanation

Ordered triples only apply to right triangles

3,4,5 is an ordered triple

multiply (3,4,5) by 2 and you get (6,8,10)

the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.

-------------------

That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

a=leg of the triangle

b=other leg of teh triangle

c=hypotenuse(longest leg)

as we can see here 10 is the longest so it is the hypotenuse.

So then we can assume that 8 is a leg of the triangle

so we insert that into the equation

a^2+8^2=10^2

subtract 8^2 from both sides

a^2=10^2-8^2

a^2=100-64

a^2=36

square root both sides

a=√(36)

a=6

Hope that helps :)

Answer:

12 miles per hour

Step-by-step explanation:

Answer:

-3x - 2

Step-by-step explanation:

-(x - 5) ⇒ -x + 5

-(2x + 7) ⇒ -2x - 7

-x + 5 - 2x - 7 ⇒ -3x - 2

multiply by sign:-x+5-2x-7

collect like term:-x-2x+5-7

simplify:-3x-2

Answer:

109

Step-by-step explanat  

i help you

Answer:Selling Price = $115

Step-by-step explanation:

Selling price = Cost price + Profit

Cost price = $100

Profit = 15% = 15%  x 100 = $15

Selling Price = $100 + $15= $115

OR

Selling Price  =  Cost price + Profit

Selling Price =$100 + (15% of $100)

Selling Price = $100+ $15

= $115.

Answer:

46°

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

180 - 134 = 46°.

Answer:

109 °

Step-by-step explanation:

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Answer:

i think it's 68 because all the angle have to add up to 180 degrees and if you add

68+93+109+46

you will get 180

Answer:

{11,60,62} could not represent the sides of a right triangle

Answer:

f(x) = 2ˣ + 1

Step-by-step explanation:

Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.

The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.

For (3, 9):

f(x)  =  3ˣ  =  3³  =  27

f(x)  =  2ˣ + 1  =  2³ + 1  =  8 + 1  =  9

The last equation is the equation that is represented by the table.

Step-by-step explanation:

hence the value of y=-9/4and k=-16.

Answer:

y=2x+24

Step-by-step explanation:

-4y=-8x-96

divide everything by -4

y= 2x +24

Answer:

T = 48

Step-by-step explanation:

multiply both sides by 12 to isolate t

t/12(12) = 4(12)

t = 48

Answer:

42

90

Step-by-step explanation:

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Answer:

A. no

B. yes

C. 30<b3.75

Step-by-step explanation:

A. 6x3.75=22.50

B. 20x3.75= 75

Answer:

∠ B = 54°

Step-by-step explanation:

The angles are supplementary, that is they sum to 180° , then

7x + 14 + 5x - 26 = 180 , that is

12x - 12 = 180 ( add 12 to both sides )

12x = 192 ( divide both sides by 12 )

x = 16

Then

∠ B = 5x - 26 = 5(16) - 26 = 80 - 26 = 54°