which sequence of transformations can be preformed on figure qrstu to show that the fugures are congruents

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

t = n × t½

t = 2.61 × 10

t = 26.1 mins

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Answer:

no solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

Answer:

5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x

Step-by-step explanation:

A Step-by-step means moving slowly from one stage or level to the next

Don’t worry, we’ll take things one step at a time.

Answer:

A = 40°

a = 9.0

b = 10.7

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

⇒ m∠A + 50° + 90° = 180°

⇒ m∠A + 140° = 180°

⇒ m∠A = 180° - 140°

⇒ m∠A = 40°

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

Given:

[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]

[tex]\implies \mathsf{a=14\cos(50)}[/tex]

[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]

[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]

[tex]\implies \mathsf{b=14\sin(50)}[/tex]

[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let consider the given triangle be ABC

Here, It is given in the question that ,

By using Angle sum property

That is,

[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]

Subsitute the required values,

[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]

[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]

[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]

[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]

Thus, The angle A is 40°

We have to find the side a and b

We know that,

[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]

[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]

[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]

[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]

[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]

[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]

[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]

[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]

Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .

3/4 x 2/11 = 3/22

Step by step explanation

multiply both numerators together: 3 x 2 = 6

multiply both denominators together: 4 x 11 = 44

3 x 2 = 6                   4 x 11 = 44     = 6/44

Divide 6 by 2 and 44 by 2.

6 / 2 = 3

44 / 2 =22

thus your answer is 3/22

Hope this helps! :)

Answer:

Answer:

Proportion b. 5/3 = 40/w is the answer and w = 24 kg.

Step-by-step explanation:

it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.

Since metal of the rods are same so weight per meter of the rod will be same.

mass per meter of 5 meter rod = 40/5

mass per meter of 3 meter rod = w/3

Both are same so

40/5 = w/3 is the proportion Mandy will use.

By using this proportion Mandy will get w = 3×40/5 = 24 kg

Step-by-step explanation:

Answer: 20/189

Step-by-step explanation: Y is proportional to x which states that 4/63 is proportional to 3 so when x=5 then it will be 5*4/63/3=20/63/3=20/63*1/3=20/189

Answer:

Step-by-step explanation:

1.2m = 120 cm

2.16 m = 216cm

120×216 =25920cm

2) 10×18 = 180

25920/180= 144

√144 = 12

The circumference of a circle is [tex]2\pi r[/tex]

Circumference = [tex]2\pi (3) = 6\pi[/tex]

It says to leave in terms of pi which means that we won't solve [tex]6\pi[/tex]

Thus the answer is [tex]6\pi[/tex].

Hope that helped!

Answer:

-26

Step-by-step explanation:

y=mx+c

x and y are coordinates

m is gradient

c is y-intercept

if x^2 has a number before it, divide c by that number

so -26/1 = -26

The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively.

In this question we must apply vectors in rectangular form to determine the absolute velocity of an airplane. which is the sum of velocity at still air ([tex]\vec v_{A/W}[/tex]) and wind velocity ([tex]\vec v_{W}[/tex]), both in miles per hour. If we know that [tex]v_{W} = 50\,\frac{mi}{h}[/tex], [tex]\theta_{W} = 40^{\circ}[/tex], [tex]v_{A/W} = 350\,\frac{mi}{h}[/tex] and [tex]\theta_{A/W} = 100^{\circ}[/tex], then resulting velocity is:

[tex]\vec v_{A} = 50\cdot (\cos 40^{\circ}, \sin 40^{\circ}) + 350\cdot (\cos 100^{\circ}, \sin 100^{\circ})[/tex]

[tex]\vec v_{A} = (-22.474, 376.822)[/tex]

Whose magnitude ([tex]v_{A}[/tex]), in miles per hour, and direction ([tex]\theta[/tex]), in degrees, are, respectively:

[tex]v_{A} = \sqrt{(-22.474)^{2}+376.822^{2}}[/tex]

[tex]v_{A} \approx 377.492\,\frac{mi}{h}[/tex]

[tex]\theta_{A} = \tan^{-1} \left(\frac{376.822}{-22.474} \right)[/tex]

[tex]\theta_{A} \approx 93.413^{\circ}[/tex]

The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively. [tex]\blacksquare[/tex]

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Answer:

A possible value for X that would not make the table a function would be 5

Step-by-step explanation:

For a table to have a function, you must have a constant rate of change, changing from -1 to 5 and then to 2 would not be a constant rate of change.

Hope this helps!

Please give brainliest!

Answer:

Python :

for i in range (3, 10, 2):

print(i)

The equation that can be used to find the walking speed is as follows:

w = 6 / x

Therefore,

let her walking speed = w

The time she can walk home = x hours

time she can bike home = (1.5 + x) hours

bike speed = (9 + w) miles per hours

Her school is 6 miles from her home.

Therefore, the equation that can be used to find the walking speed is as follows.

w = 6 / x

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Answer:

B

Step-by-step explanation:

V= breath times height times width

[tex]22 \times 7.9 \times 5.5 = 955.9[/tex]

The area of one face is length x width:

Area of one face = 6.5 x 6.5 = 42.25 square cm.

There are 6 total faces on a cure.

Total surface area = 42.25 x 6 = 253.5 square cm.

The vertex of the parabola will be;

⇒ (3, - 11)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ f (x)  = 2x² - 12x + 7

Now,

Since, The equation is,

⇒ f (x)  = 2x² - 12x + 7

It can be written as;

⇒ f (x)  = 2(x² - 6x) + 7

⇒ f (x)  = 2(x² - 6x + 9 - 9) + 7

⇒ f (x)  = 2(x² - 6x + 9) - 18 + 7

⇒ f (x)  = 2 (x - 3)² - 11

By comparing with standard form of parabola y = a (x - h)² + k, we get;

⇒ (h, k) = (3, - 11)

Thus, The vertex of the parabola will be;

⇒ (3, - 11)

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Answer:

[tex]40\pi \: {cm}^{3} [/tex] will be your answer

[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]

Answer:

1 3/4 gallons

Step-by-step explanation:

Answer:

Please Specify if the chocolate chips are measured in teaspoon or tablespoon?

Step-by-step explanation:

Assuming that the chocolate chips are measured in Teaspoons

given: 20 calories= 2 teaspoons

Now we can say that 48 teaspoons= 1 cup

therefore if 2 teaspoons make 20 calories , how many does 48 teaspoons make?

(48x20)/2 = 480 calories

we can now say that 48 teaspoons =1 cup = 480 calories

3x480=1440

so, 3 cups= 1440 calories

Hope this helps! :)

Answer:

its 3 fam just divide 15 by 5

Step-by-step explanation:

the mom cut 180 in 9 parts (4+5)

the smaller share is 180 x 4/9 = $80

Answer: 58

Step-by-step explanation:

1st step: Start by setting it up with the divisor 4 on the left side and the dividend 232

2nd step: The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

3rd step: Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

4th step: Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.Move down the 2nd digit of the dividend (3)

5th step: The divisor (4) goes into the bottom number (23), 5 time(s). Therefore, put 5 on top

6th step:  Multiply the divisor by the result in the previous step (4 x 5 = 20) and write that answer at the bottom. Subtract the result in the previous step from the number written above it. (23 - 20 = 3) and write the answer at the bottom.

7th step: Move down the last digit of the dividend (2). The divisor (4) goes into the bottom number (32), 8 time(s). Therefore put 8 on top

8th step:Multiply the divisor by the result in the previous step (4 x 8 = 32) and write the answer at the bottom. Then Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.

Therefore, the answer to 232 divided by 4 is by using long division

The required quotient is 58.

Given that 232 ÷ 4.

The long division states that divident = divisor × quotient + remainder.

Let a and b be any real numbers. Consider a ÷ b gives a = b × q + r, that implies q is quotient and r is remainder such that 0 [tex]\leq[/tex] r [tex]\leq[/tex] b.

That implies,

[tex]\begin{array}{ccc}4)&232&(58\\_-&20\\&32&\\_-&32&\\&00&\end{array}[/tex]

Therefore, the required quotient is 58.

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Answer:

[tex]BC=71\text{ units}[/tex]

Step-by-step explanation:

Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.

Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:

[tex]12x+6=90[/tex]

Solve for x. Subtract 6 from both sides and then divide by 12:

[tex]12x=84\\[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

BC is the addition of the segments BD and DC. In other words:

[tex]BC=BD+DC[/tex]

We already know the equations of BD and DC. Substitute:

[tex]BC=(5x-7)+(2x+29)[/tex]

Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:

[tex]BC=(5(7)-7)+(2(7)+29))[/tex]

Evaluate:

[tex]BC=(35-7)+(14+29)[/tex]

Evaluate:

[tex]BC=28+43=71[/tex]

Therefore, the value of BC is 71 units.

Answer:

BC = 71

Step-by-step explanation:

12x + 6 = 90

x = 7

5x - 7 + 2x + 29 = 7x + 22

7(7) + 22 = 49 + 22

49 + 22 = 71

BC = 71

Answer:

C

Step-by-step explanation:

Got it right on the flvs

Check the images for steps.

Therefore, the large jar costs less per gram as it is only 0.0035 compared to the small one which is 0.0037 per gram.

Thus, the large jar is the best value for money.

Answer: 5√2

Step-by-step explanation:

the opposite sides on a 45 45 90 triangle

Look at the image:

Answer:

1)  3n²+11n+6

2)  2n²-4n+2

3)  4x²-9

4)  r²-2r-3

5)  4n²+8n+3

6)  3p²-6p+3

Step-by-step explanation:

FOIL

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Answer:

The greatest factor of the polynomial is x^2.

To factor out x^2, we divide each term by x^2:

x^2 - 8x + 1

Don't forget to multiply back the x^2:

x^2(x^2 - 8x + 1)

I hope this helped you.

Answer:

bb

Step-by-step explanation:

Answer:

should be D

Step-by-step explanation: