What is the relationship between the exterior angle of a triangle and its remote
interior angles?

Answer:

i think it is 345 but not sure

Step-by-step explanation:

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

Answer:

$179.2

Step-by-step explanation:

7% of 2,560 is 179.2

Answer:

8a + ab + 5

Step-by-step explanation:

1. a + 7a+3ab-2ab-1+6

2. combine like terms

(a + 7a) + (3ab - 2ab) + (-1+6)

8a + ab + 5

Answer:

8a + ab + 5

Step-by-step explanation:

combine like terms. like term have same variables

a and 7a  ; 3ab and (-2ab) ; (-1) and 6 are like terms

a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5

Answer:

one hundred billion

Step-by-step explanation:

10^6 x 10^5 = 10^11

10^11 = 100,000,000,000 or  one hundred billion

I hope that's what you meant ^-^

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

"just do it"- adidas

just yolo it

Answer:

B.20

Step-by-step explanation:

A) Always

In a perfect sphere the centre is an equal distance from any point from the surface.

THANK YOU!!

∝ Sidhdi

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

Answer:

Sorry I don't know this language

Answer:

abcd

Step-by-step explanation:

efg

Answer:

a^2-16

Step-by-step explanation:

you just a.a+a.-4+4.a+4.-4=a^2-16

Answer:

72/96

Step-by-step explanation:

Answer: Ed should bike at least more than 16 miles

Step-by-step explanation:

11 + 4b > 75

4b > 64

b > 16

Answer:

The answer is 2550

Step-by-step explanation:

Add 1200 and 1350 it'll give you 2550

Answer:

250

2550

Step-by-step explanation:

sorry if wrong but I think

A=250

B=2550

Answer:

D) 128

Step-by-step explanation:

4(0.5)^-5

4(32)

128

Answer:

32.25

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I had the same question and I got this right

Christopher is solving a system of equations that has one solution and can be seen in Option C.

A system of equations is two or more equations that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is the second-order degree algebraic expression in a variable.

s(x) = 2x42 -5 and t(x) = -x +31+2

However, if their power is not in one degree, the quadratic equation produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

Learn more about systems of equations here;

brainly.com/question/14323743

Answer:

42 degrees

Step-by-step explanation:

All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=84+54+a\\180=138+a[/tex]

Subtract both sides by 138

[tex]180-138=138+a-138\\42=a[/tex]

I hope this helps!

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Answer:

$71.25

Step-by-step explanation:

cost of one feet of molding = $15/8 = $1.875

Cost of  38 feet of crown molding = $1.875 x 38 = $71.25

Answer:

0.3 with the 3 being repeated

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer: Exponential

Step-by-step explanation: I did it in khan

Answer:

I have made it in above picture

Answer:

2 A.)

1) 3-4x+8x^2-6+2x-5x^2

2) 8x^2-5x^2-4x+2x+3-6

3) 3x^2-2x-3

B.) 3x-5-7x^2+2+6x^2+5x

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

Answer:

Polymomial with 4 terms i believe