A dog walks due east 180 ft to a corner.
After turning through an angle of 81.5°,
the dog walks 329 ft. to the second
corner. Then the dog walks back
to the starting point.
What is the area of the triangle
formed by his path?
Area = [?] ft.2
Round to the nearest hundredth.

Answer:

$2540

Step-by-step explanation:

Given data

Cost per month=$1400

Increase per year=$190

Time = 6 years

Let the total rent per month be y

Hence, the expression for the monthly rent after 6 years is

y= 1400+190(6)

y= 1400+1140

y=$2540

Answer:

1/4.

Step-by-step explanation:

There are 3 even numbers in the 6 numbers on a cube.

So Probability first roll is even = 3/6 = 1/2.

By the same reason Probability of odd number = 1/2.

So: Probability(First is even and second is odd) = 1/2 * 1/2 = 1/4.

2i

−4

+3i

=

5

2

i

Step-by-step explanation:

i think it helps

Answer:

[tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i

Step-by-step explanation:

Assuming you mean

[tex]\frac{2i}{-4+3i}[/tex]

To simplify, rationalise the denominator

Multiply the numerator/ denominator by the conjugate of the denominator

The conjugate of - 4 + 3i is - 4 - 3i , then

= [tex]\frac{2i(-4-3i)}{(-4+3i)(-4-3i)}[/tex] ← expand numerator and denominator

= [tex]\frac{-8i-6i^2}{16-9i^2}[/tex] [ note that i² = - 1 ]

= [tex]\frac{-8i+6}{16+9}[/tex]

= [tex]\frac{6-8i}{25}[/tex]

= [tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i ← in standard form

Answer:

1/2 or 0.5!!!!!!!!!!!!!

Answer:

x=1/2

Step-by-step explanation:

take 1/4 from each side to get x on it's own.

Answer:

9.38cm

Step-by-step explanation:

you have a right triangle. use pathagorean

x^2 + 9^2 = 13^2

x^2 + 81 = 169

x = √88

x = 9.38

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

Answer:

definetely not a pog champ :)

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

do you need and explanation

Answer:

Step-by-step explanation:

(6x+1)4 = 124

6x+1 = 31

x = 5

Answer:

a. y = 4x  b. 48 feet

Step-by-step explanation:

y = mx + b

Plotted points found:

(5,20) (10,40)

Delta y/Delta x

(40-20)/(10-5)

20/5 = 4

Slope: 4

y = 4x + b

The y-intercept is when x = 0. In this case, the y-intercept is 0.

Equation: y = 4x

b.

y = 4(12)

y = 48 feet

Answer:

8 is the diamonds area im not sure if there is a formula for that but its 8

Second shape you could connect the dots to make it more easier to get 15

Third shape is 16 for the area.

Answer:

(7,-8)

Step-by-step explanation:

just count the x and y axis

Brillianst please!!!

Answer:

628.31853

Step-by-step explanation:

V=πr2h

3=π·102·6

3≈628.31853

Answer:

200π

Step-by-step explanation:

h/3πr²

6/3· 10² · π

2 · 100 · π

= 200 π

Answer:

the answer is 12 yd if you are talking about the question mark.

Step-by-step explanation:

Well, if you split this  figure into two rectangles, then the 16 yd length becomes 12 yd because the one congruent to it is 4 yd. Both sides are congruent so you'd get 12 yd.

Answer:

BRAINLIEST

Step-by-step explanation:

Answer:

168 seconds

I edited the answer.

Step-by-step explanation:

To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.

28 x 6 = 168, 24 x 7 = 168

The LCM of 28 and 24 is 168.

So it takes 168 seconds for both lights to flash at the same time.

Both lights will flash together again at 2 minutes and 8 seconds.

To find When will they flash together again if they flash together.

LCM is the method to find the smallest possible multiple of two or more numbers.

Given that,

A red light flashes once every 28 seconds

A green light flashes once every 24 seconds

A red light flashes every 28 seconds and green light flashes once every 32 seconds. Therefore,  we have to find their least common factor.

LCM(28 , 24) = 168

The red and green light will flash together after every 168 seconds.

Time  =168 seconds

Time =168 / 60 minutes

Time = 2 minutes and 8 seconds

The red and green light will flash together after every 2 minutes and 8 seconds.

Hence, both lights will flash together again at 2 minutes and 8 seconds.

Learn more about LCM here:

https://brainly.com/question/22400981

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Answer:

y < -1/2x + 2

Step-by-step explanation:

x+2y<4

subtract x from both sides

2y<-x+4

then divide both by 2

y< -1/2+2

Answer:

(-3, 19)

Step-by-step explanation:

Answer:

The first Graph

Step-by-step explanation:

its not the third because it's a dotted line, so it wouldn't be equal to. it's not the second because it's shaded in the wrong place, making it less than.

Answer:

346.4 square centimeters (cm²)

Answer:

346.185 cm²

Step-by-step explanation:

radius = diameter / 2

Area of a circle = πr²

radius = 21/2 = 10.5

Area = 3.14(10.5)²

Area = 346.185 cm²

Answer:

0

Step-by-step explanation:

-7+-3

0

ueewowwwyhkfi9hwhwiw

Answer:

7.8 and 18.8 is your answer

Step-by-step explanation:

give other person brainliest and yes Ik I’m very late ~w~

Answer:

D

Step-by-step explanation:

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

The given expressions are 2x³-3x²-3x+2 and x-2.

The factors are the polynomials which are multiplied to produce the original polynomial.

Here, the given polynomial can be factored as follows:

x-2 |2x³-3x²-3x+2| 2x²+x-1

      2x³-4x²

     (-)   (+)

___________

             x²-3x+2

             x²-2x

            (-)  (+)

___________

                 -x+2

                 -x+2

                (-)  (+)

____________

                   0

2x²+x-1 can be rewritten as 2x²+2x-x-1

= 2x(x+1)-(x+1)

= (x+1)(2x-1)

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ5

Answer:

60 oz of water to add

45 oz of 35% salt solution should be used

Step-by-step explanation:

Let x = amt no. ounces in the first solution

and  105 - x = amt no. of ounces in the second solution

Ist solution contains 0% salt

2nd solution contains .35(105 - x) salt

.15(105= amt of salt in mix

So.

amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix

0 + .35(105 - x) = .15(105)

Let's get rid of the fractions by multipying thru the equation by 100

35(105 - x) = 15(105)

3675 - 35x = 1575

-35x = -2100

x = 60 oz of water to add

105 - 60 = 45 oz of 35% salt solution should be used

Answer:

2x + 18 ≥ 21

x ≥ 2/3

Step-by-step explanation:

Let sum be X

2 times the sum means 2x

the sum of a number and 18 means x + 18

at least -21 means ≥ 21

put them together, and you get, 2x + 18 ≥ 21

If solving for x,

2x + 18 ≥ 21

2x ≥ 3

x ≥ 2/3

Answer:

let P=36000

R=12%

T=2years

Step-by-step explanation:

no.of bacteria after 2=P(1+R/100)^t

=36000(1+12/100)²=45158.4

Answer:

Step-by-step explanation:

Given that:

Find the central angle (θ)

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

Central angle = 60°

______________

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- kexcvi