Find the perimeter of triangle ABC. Approximate to the nearest whole unit.​

The ratio 4/6 is the same as 2/3 because they have the same proportion.

To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.

1. Multiplying by the same number:

  If you multiply both the numerator and the denominator of 2/3 by 2, you get:

= (2 × 2) / (3 × 2)

= 4/6

So, the ratio 4/6 is the same as 2/3.

2. Dividing by the same number:

  Divide both the numerator and the denominator of 2/3 by 3, you get:

= (2 ÷ 3) / (3 ÷ 3)

= 2/3

So, the ratio 2/3 remains the same.

In conclusion, the ratio 4/6 is the same as 2/3.

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Answer:

the answer is D, 20.5cm

Step-by-step explanation:

x is hypotenuse

hypotenuse formula:

[tex]hypotenuse = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

let 15cm = a

let 14cm = b

[tex]x = \sqrt{15 {}^{2} + {14}^{2} } [/tex]

[tex]x = \sqrt{225 + 196} [/tex]

[tex]x = \sqrt{421} [/tex]

[tex]x = 20.5cm[/tex]

Answer:

-21

Step-by-step explanation:

-13 +(-2) = -15

-15+(-2) = -17

-17+(-2 )=- 19

-19+ (-2)= -21

Given :  last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7  

Colin plays cricket again on Sunday. He gets 29 runs.

To find : a) Work out Colin's mean score.

b) What is his new mean score

Solution:

last 10 run scores Colin got in cricket

1, 16, 5, 25, 26, 32, 5, 7, 1, 7

Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7  = 125

Total Innings = 10

Mean Score = 125/10  = 12.5

Colin plays cricket again on Sunday. He gets 29 runs.

=> New Total Score   = 125 + 29 = 154

New Total Innings   = 10 + 1 = 11

New Mean Score    = 154/11  = 14

Mean Score = 12.5

New Mean Score  = 14

Hope this helps! ;)

Answer:

The following are the last 10 run scores Colin got in cricket:

32, 2, 0, 25, 34, 24, 6, 23, 17, 34

a) Work out Colin's mean score.

b) Colin plays cricket again on Sunday. He gets 23 runs.

What is his new mean score?

Give your answers as decimals.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

-6 and -8

Step-by-step explanation:

-6+(-8)=-14

-6(-8)=48

It made me reload lol

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

Answer:

We have established the following sequence

6, 12, 18,...

The given is the Arithmetic sequence with the nth term

[tex]a_n=6n[/tex]

d = 6 is a common difference.

Step-by-step explanation:

Given the formula

Sₙ = 3n² + 3n

Put n = 1 to determine the sum of the first term

S₁ = 3(1)² + 3(1)

S₁ = 3 + 3

S₁ = 6

As the sum of the first term includes the only first term, so

a₁ = 6

Put n = 2 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₂ = 3n² + 3n

S₂ = 3(2)² + 3(2)

S₂ = 12 + 6

S₂ = 18

as

S₂ = a₁ + a₂

substituting S₂ = 18, a₁ = 6

18 = 6 + a₂

12 = a₂

so

a₂ = 12

Put n = 3 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₃ = 3(3)² + 3(3)

S₃ = 27 + 9

S₃ =36

as

S₃ = a₁ + a₂ + a₃

substitutingS₃ =36, a₁ = 6, a₂ = 12

36 = 6+12+a₃

a₃ = 36-6-12

a₃ = 18

Thus,

a₁ = 6

a₂ = 12

a₃ = 18

Therefore, the sequence becomes

a₁, a₂, a₃,...

6, 12, 18,...

Let us check the common difference 'd' between the adjacent terms

d = 12 - 6 = 6

d = 18 - 12 = 6

As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.

Thus,

Furthermore, the nth term of the Arithmetic sequence can be defined as

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting d = 6 and a₁ = 6

[tex]a_n=6\left(n-1\right)+6[/tex]

[tex]a_n=6n[/tex]

2(3^2)−(3)(2)−3(2^2)+9

2(3^2)−(3)(2)−3(2^2)+9

= 9

Answer:

x = 79°

y = 22°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

79° + x° + y° = 180° the given triangular shape is isosceles which means x = 79°

so 79° + 79° + y° = 180° add like terms

158° + y° = 180° subtract 158 from both sides

y° = 22°

Answer:

x=79

y=22

Step-by-step explanation:

its an isosceles triangle meaning that 2 sides are the same and if 2 sides are the same 2 angles are and that means that 79 would have to equal x because that is the one side and then you add the two 79s to get 158 and subtract that minus 180 to get 22 leaving that to be y

79+79=158

180-158=22

y=22

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

Answer:

5.1505613031

Step-by-step explanation:

hope it helps!

Answer:

5.1505613031

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

The answer is B

Step-by-step explanation:

4x (green, left)

-2 (red, left)

=

2x (red, right)

6 (orange, right)

Hope that helps

Answer:

LETS GO WITH B

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

11cos35

Answer:

x = 9.0

Step-by-step explanation:

cos(35) = [tex]\frac{x}{11}[/tex]  

11cos(35) = x

x = 9.0

Answer:

100 x 3

Step-by-step explanation:

Well, it's a pretty simple problem.

If she already has 100 ants and it triples every month then, we'd multiply.

Key words like triple, double, twice as much can signal that a problem requires multiplication.

In this case, we'd do 100 x 3

which means that after one month, she'd have 300 ants.

Answer:

5

Step-by-step explanation:

double 5 is 10

10+3=13

13 multiplied by 4=52

Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()

car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2

modeled by g(x) = 0.05x 1 − e . ()

(a) How many kilometers does the car travel during the first 2 hours?

(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when

t = 2 hours. Indicate units of measure.

(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per

  (a)

(b)

hour?

∫ 2 r (t ) dt = 206.370 kilometers 0

dg dg dx dx dt=dx⋅dt; dt=r(t)

2 : {1 : integral 1 : answer

3:{2:useschainrule

1 : answer with units

   dg dt

t=2

dg

= dx ⋅r(2)

x=206.370

= (0.050)(120) = 6 liters hour

    (c)

Let T be the time at which the car’s speed reaches 80 kilometers per hour.

Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone

x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0

and has consumed g(x(T )) = 0.537 liters of gasoline.

The linear function f Eve can use to determine her pay would be; D. f(x) = 14x + 12

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is the form Ax + B = 0.

Given that Eve earns $14 per hour for yard work and an extra amount for dog walking on Saturdays.

The table shows the data;

Hours 1 2 3 4 5

Pay 26 40 54 68 82

Thus, the linear function f Eve can use to determine her pay is;

f(x) = 14x + 12

To check;

f(x) = 14x + 12

f(x) = 14(1) + 12

f(x) = 14 + 12 = 26

Hence, The linear function f Eve can use to determine her pay would be; D. f(x) = 14x + 12

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Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

Answer:

Acording to my brain the answer is (-2,-1) In other Words The correct answer is Option B

Step-by-step explanation:

God Bless :)

The ordered pair that needs to be removed in order for the mapping to represent a function is either: (-2, -1) or (2, -2).

The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.

To represent a function, each input (x-value) must be associated with only one output (y-value). Therefore, in order for the mapping to represent a function, we need to remove any ordered pairs that violate this rule.

Looking at the options given, we can see that only one option has a repeated x-value:

O (-2, -1) and 0 (2, -2)

Both of these ordered pairs have the same x-value (either -2 or 2), but different y-values. This means that they violate the rule that each input must be associated with only one output.

Therefore, the ordered pair that needs to be removed in order for the mapping to represent a function is either:

O (-2, -1)

or

0 (2, -2)

We need to remove one of these ordered pairs to make the mapping a function.

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Answer:D

Step-by-step explanation: The graph of -f(x) is the graph of f(x) reflected over the y-axis.

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

Answer:

C (37, 77)

Step-by-step explanation:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the height = h

L = 5*h

w = h + 8

V = l*w*h

Volume = (h)*(5h)*(h +5)

Answer:

(-2,-1)

Step-by-step explanation:

Ive done a lot of these problems before, hope this helps