Congruent triangles have the same perimeter and area.

False

True

Answer:

55.5 kg.

Step-by-step explanation:

Potential energy =  mgh

= m * 9.81 * 4.5 = 2450    where m  is the mass of the man.

m = 2450 / (9.81* 4.5)

= 55.5 kg.

Answer: 2

Step-by-step explanation:

one plus one equals 2.

1+1=2

Answer:2

Step-by-step explanation:

Answer:

Increase in value: $20650

Current house value: $315650

Answer:

ESTO ES INCORRECTO

Step-by-step explanation:

CON LA ECUACIÓN DE GALILEO GALILEI TENEMOS:

x = 54.6 mph( 4.25 h) = 232 milles

Answer:

Mr. Carson traveled from his house in Pennsylvania to a ski resort in upstate New York. He drove 4.25 hours at a rate of 54.6 miles per hours. When a friend asked how far he traveled to get to the resort, Mr. Carson said “about 2,320 miles.”

Mr. Carson actually traveled a distance of  

✔ 232.05 miles

.

Was Mr. Carson’s estimate reasonable?

✔ no

español:

Carson viajó desde su casa en Pensilvania a una estación de esquí en el norte del estado de Nueva York. Condujo 4,25 horas a una velocidad de 54,6 millas por hora. Cuando un amigo le preguntó qué tan lejos había viajado para llegar al resort, el Sr. Carson dijo "aproximadamente 2,320 millas".

Carson en realidad viajó una distancia de

✔ 232.05 millas

.

¿Fue razonable la estimación del Sr. Carson?

✔ no

Answer:

1110

Step-by-step explanation:

Coz I solved it

Answer: 21/400

Step-by-step explanation:

Multivitamin:

8 cherry, 5 grape, and 7 orange

Total fruits in Multivitamin container :

(8 + 5 + 7) = 20

P(orange) = Total required outcome / Total possible outcomes)

P(orange) = 7/20

Calcium vitamin :

11 berry, 3 lemon, and 6 pineapple

Total fruits in calcium vitamin container:

(11 + 3 + 6) = 20

Probability of picking a lemon:

P(lemon) = Total required outcome / Total possible outcomes)

P(lemon) = 3/20

Therefore, probability of picking an orange and a lemon equals:

P(orange) × p(lemon) = (7/20) × (3/20) = 21/400

Answer:

-23.99048X + 310.7619

Step-by-step explanation:

Given the following :

Time(weeks) - - - mass(grams)

0 - - - - - - - - - - - - - 400

3 - - - - - - - - - - - - - 201

6 - - - - - - - - - - - - - 98

9 - - - - - - - - - - - - - 50

12 - - - - - - - - - - - - 24

15 - - - - - - - - - - - - 12

Using the regression calculator, the model for Mass(time), which best fits the data is represented by the equation:

ŷ = -23.99048X + 310.7619

Where, - 23.99044 is the slope or gradient

X is the time(t)

y is the Mass

310.7619 is the intercept. Point where the graph crosses the y-axis.

Answer:

M^t=400•(0.79)^t

Answer:

Hope this is correct

0.008 if you are looking for a decimal. If you need a fraction it would be simply 8/1000 since 8 times 1 would be 8.

Answer:

Step-by-step explanation:

8 x 1/1000

= 8/1000

Simplified to 1/125

As a decimal it’s 0.008

Answer:

Step-by-step explanation:

the sum of sixty-seven times a number and plus eight and nine tenth is less than or equal to three hundred and two

A) Sixty-seven times a number is less than negative three hundred two.

B) Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.

C) Sixty-seven times a number, plus eight and nine tenths, is not less than three hundred two.

D) Sixty-seven times a number, plus eight and nine tenths, is at least negative three hundred two.

the answer closest to this is B (not greater than is the same as less than or equal to)

Answer:

B)  Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.

Step-by-step explanation:

Let's break down this equation:

67z + 8.9 ≤ - 302

z is "a number" that is being multiplied by 67.

8.9 can be represented as 8 9/10, because 0.9 and a fraction is 9/10.

The less than or equal to sign means that the number represented by the expression 67z + 8.9 cannot be greater than -302. In other words, it is less than or equal to it.

You can see that option B is the only one that correctly compares 67z + 8.9 and -302. Therefore, that is the correct option.

Answer:

False

Step-by-step explanation:

it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.

The given statement is false.

We have given that,

The triangles shown below must be congruent.

60°

60°

30°

150

We have to determine whether the given statement is true or false.

The sum of all angles is 180 degrees

[tex]\angle A+\angle B+\angle C=180[/tex]

it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.

Therefore the given statement is false.

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Answer:

n = -21/11

Step-by-step explanation:

11(n - 1) + 35 = 3

Expand the brackets.

11n - 11 + 35 = 3

Add the terms -11 and 35.

11n + 24 = 3

Subtract 24 on both sides.

11n = 3 - 24

Subtract.

11n = -21

Divide 11 into both sides.

n = -21/11

Answer:

[tex]n = - \frac{21}{11} \\ [/tex]

Step-by-step explanation:

[tex]11(n - 1) + 35 = 3 \\ 11n - 11 + 35 = 3 \\ 11n + 24 = 3 \\ 11n = 3 - 24 \\ 11n = - 21 \\ \frac{11n}{11} = \frac{ - 21}{11} \\ n = - \frac{21}{11} [/tex]

Answer:

[tex] {(4x)}^{ \frac{3}{2}} [/tex]

Step-by-step explanation:

[tex] \huge \sqrt{( {4x)}^{3} } \\ \\ \huge = \: {(4x)}^{3 \times \frac{1}{2} } \\ \\ {\huge {\red{ \boxed{ = {(4x)}^{ \frac{3}{2} }}}}}..required \: answer \\ \\ \huge = ( {4})^{ \frac{3}{2} } {x}^{ \frac{3}{2} } \\ \\ \huge = ( { {2}^{2} })^{ \frac{3}{2} } {x}^{ \frac{3}{2} } \\ \\ \huge = ( { {2} })^{ 3 } {x}^{ \frac{3}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{3}{2} } [/tex]

Answer:

60%.

Step-by-step explanation:

The the percent increase in the number of games the Tigers won from last year to this year is; 60%

We are told that the tigers won 12 games last year.

Now this year the tigers won 20 games.

Thus, if the total number of games to be won is n, then;

Last year = 12/n

This year = 20/n

Thus,

Percentage increase = [(12/n)/(20/n)] * 100%

Percentage increase = 12/20 * 100%

Percentage increase = 60%

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Answer:

Is your question, how long did it take for him to do it? If so the answer is: .69 hours

Step-by-step explanation:

100 divided by 145.0441= .6894454859

Avg. Time is .69 hours

Answer:

True

Step-by-step explanation:

1/x = 0

x(1/x)=(0)x

1 isn't equal to 0

Answer:

25 levels

Step-by-step explanation:

First, convert 1 2/5 to a decimal. Since 2/5=0.4, 1 2/5 is 1.4. Now, you can set up the following expression:

[tex]\dfrac{35\text{in}}{1.4\text{in}}=25[/tex] levels.

Hope this helps!

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

Step-by-step explanation:

Quadratic function to be graphed is,

h(x) = (x - 1)² - 9

By comparing this equation with the vertex form of the parabola,

f(x) = (x - h)² + k

here (h, k) is the vertex of the parabola.

Therefore, vertex of the parabola to be graphed will be (1, -9)

Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

Axis of symmetry of the parabola,

x = 1

For x-intercepts,

(x - 1)² - 9 = 0

(x - 1)² = 9

(x - 1) = ±3

x = 1 ± 3

x = -2, 4

Points of x-intercepts will be (-2, 0), (4, 0).

For y-intercepts, (x = 0)

h(x) = (0 - 1)² - 9

      = 1 - 9

      = -8

So the point of y-intercept will be (0, -8).

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

See the attached graph of what it should all include and look like for Plato/Edmentum users

Step-by-step explanation:

Answer:

Solution,

Let,

Angad get X

Peter get 3x

Alex get 6x

Now,

[tex]x + 3x + 6x = 50 \\ or \: 10x = 50 \\ or \: x = \frac{50}{10} \\ x = 5[/tex]

Replacing value,

[tex]6x \\ = 6 \times x \\ = 6 \times 5 \\ = 30[/tex]

hope this helps...

Good luck on your assignment..

Answer:

Angad gets £5

Peter gets £15

Alex gets £30

Step-by-step explanation:

Let Angad be x, Then Peter = 3x and Alex = 6x

Condition:

x+3x+6x = 50

=> 10x = 50

Dividing both sides by 10

=> x = 5

So,

Angad gets £5

Peter gets £15

Alex gets £30

Answer:

L=16.5 inches

Step-by-step explanation:

L=W+12

P= 2L+2W

P=2(W+12)+2W

42=4W+24

4W=42-24

W=18/4=4.5

L=12+4.5=16.5 inches

Answer:

erm

Step-by-step explanation:

0.2

1/4

40%

0.5

3/4

Answer:

SR =3

Step-by-step explanation:

SR + RQ = SQ

2x+23 + x+21 = 14

Combine like terms

3x+44 = 14

Subtract 44 from each side

3x+44-44= 14-44

3x = -30

Divide each side by 3

3x/3 = -30/3

x = -10

SR = 2x+23 = 2(-10)+23 = -20+3 =3

Answer: 3

Step-by-step explanation:

We can start by making an equation.

Since we know the total length of SQ we can add SR + RQ to equal SQ.

[tex](2x+23)+(x+21)=14[/tex]

The parenthesizes are not necessary but they help for understanding the parts of the equation.

We will remove the parenthesizes and combine like terms.

[tex]3x+44=14\\[/tex]

Now subtract 44 from both sides to cancel it out from the side with x.

[tex]3x=-30[/tex]

Now divide by 3 to isolate x.

[tex]x=-10[/tex]

So x = -10.

Now we can plug in the value of x into SR.

[tex]2(-10)+23 = SR[/tex]

Solve

So SR = 3

Answer:

f = 43/40 or 1 13/30

Step-by-step explanation:

60f=86

Divide each side by 60

60f/60=86/60

f = 86/60

Divide the top and bottom by 2

f = 43/30 or as a mixed number 1 13/30

Answer:

b.2/6.

Step-by-step explanation:

Simplify each fraction

a.3/3 =1

b.2/6. Divide the top and bottom by 2  1/3

c.3/12 Divide the top and bottom by 3  1/4

d.7/12 Does not simplify

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

I don't think that there are two answers. I think there's only one.

Answer:

i think its Let a be the side length, then area=a^2=14400 sq m. Therefore a=√14400=120m.

Step-by-step explanation:

Answer:

[tex]120[/tex] [tex]meters[/tex]

Step-by-step explanation:

Use the formula for the area of a square.

[tex]A=s^2[/tex]

[tex]14400=s^2[/tex]

[tex]\sqrt{14400} =s[/tex]

[tex]120=s[/tex]

Answer:

The new ribbon is 511.85 meter long.

The total cost Rs. 6142.2

Step-by-step explanation:

First of all we convert all lengths to the standard unit that is meter.

0.5 km =500 meter

1005 cm = 10.05 meter

1800 mm = 1.8 meter

total length in meters

500+10.05+1.8= 511.85

total cost at the rate of Rs. 12 per meter will be

511.85×12=6142.2

The length of the new ribbon is 511.85m.

The cost of the single ribbon formed is Rs. 6142.20.

Common units of length are Millimeter(mm), centimeter(cm), meter(m), and kilometer(km).

The S.I. unit of length is the meter.

All units relate to the meter in the following way:

1000mm = 1m ⇒ 1mm = 1/1000m ⇒ 1mm = 0.001m

100cm = 1m ⇒ 1cm = 1/100m ⇒ 1cm = 0.01m

1km = 1000m

The lengths of three pieces of ribbon are given as 0.5km, 1005cm, and 1800mm.

We are asked to find the length of the ribbon formed by joining these 3 ribbons.

To find the total length, we need to add them, but to add we need lengths in equal units. So we convert the three lengths into the common unit meter.

0.5km = 0.5 * 1000 m = 500m (∵ 1km = 1000m)

1005cm = 1005 * 0.01m = 10.05m (∵ 1cm = 0.01m)

1800mm = 1800 * 0.001m = 1.8m (∵ 1mm = 0.001m)

∴ The length of the new ribbon = 500 + 10.05 + 1.8 m = 511.85m.

Cost of the ribbon = Rs. 12 per meter

∴ Cost of the single ribbon formed = Rs. 12 * 511.85 = Rs. 6142.20.

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Answer:

Step-by-step explanation:

The standard form of a parabola is

[tex]y=ax^2+bx+c[/tex]

If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:

[tex]400=a(0)^2+b(0)+c[/tex] and c = 400.

Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If

[tex]h=\frac{-b}{2a}[/tex] and h = 1, then

[tex]1=\frac{-b}{2a}[/tex] and

2a = -b so

b = -2a.  Save that for a minute or two.

If

[tex]k=c-\frac{b^2}{4a}[/tex] and k = 405, then

[tex]405=400-\frac{(-2a)^2}{4a}[/tex] and

[tex]405=400-\frac{4a^2}{4a}[/tex] and

405 = 400 - 4a and

5 = -4a so

[tex]a=-\frac{5}{4}[/tex]

We will use that a value now to find the value of b.  If b = -2a, then

[tex]b=-2(-\frac{5}{4})[/tex] and

[tex]b=\frac{10}{4}[/tex]

Writing our parabolic equation now:

[tex]y=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex]

Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:

[tex]0=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex] and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get

[tex]-5x^2+10x+1600=0[/tex] Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are

x = -16.91647287 and 18.91647287

Answer: ( -8,0),(10,0)

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

the sequence goes on subtracting 4, 2, 4, 2, 4

hence, with the last number being subtracted by 4, you must then add on 2

86  + 2 = 88