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Vladimir79 [104]
3 years ago
11

My teacher gave the answer but I have to figure out how she got the answer please help. ​

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0

Answer:

∠ABC= 70

Step-by-step explanation:

arc AB = 110, so ∠ACB = 55,

ΔABC is an isosceles triangle cause two sides are the same,

so ∠BAC = 55, angles in a triangle adds up to 180, so

180 - 55 - 55 = 70 =  ∠ABC

nasty-shy [4]3 years ago
4 0

Answer:

what i did was 360 and how i got that was a circle equals 360 so 360-108=252 so 360-252=108

Step-by-step explanation:

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4a to 3rd power b to 4power times b to 3rd power times 2b to 3rd power divided by 4b
ddd [48]

(4a^3b^4(b^3)(2b^3))/4b


4a^3b^3(b^2)(2b^2)/4

5 0
3 years ago
2/3 divided by 1/4 in its simplest form
rewona [7]

Answer:

8/3

Step-by-step explanation:

to divide by a fraction multiply the reciprocal

2/3×4

calculate the product

2×4=8

8/3

5 0
3 years ago
Read 2 more answers
gavin and marco each have equal sized pieces of rope. gavin uses 1/4 of his rope for an art project. marco uses 1/8 of his rope
marissa [1.9K]

Answer:

Gavin uses more rope.

Step-by-step explanation:

Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.

5 0
3 years ago
PLEASE SOMEONE HELP ME WITH THESE QUESTIONS I'VE BEEN STUCK ON HERE FOR SO LONG​
Neporo4naja [7]

Answer:

# means number

Step-by-step explanation:

Distance = Y-axis or output

Cost= X-axis or input

you do not need to add the brackets for the formula(BEDMAS), but it makes things clearer

For A -

the Y-intercept is where the first coordinate, or the # or the X-axis, is 0 (on the graph the y-intercept 0,4)

For B -

y = mx + b

m =  slope

x = input or # on the X-axis

b = y-intercept

or

formula = (input x increase in the slope) + output for 0 or (distance x increase in cost) + output for 0

input(x axis)         output(y axis)

0                 5    ← output for 0

1                  9  

2                 13

there is a +4 increase in the slope, the increase in the slope is an output #(in this case 9) - the previous output number (in this case 5)

formula = (input x increase in the slope) + output for 0 = distance

formula in use = (3 x 4) + 5 = 17

For C:

The dependent variable is the output or the cost because the input or the distance will determine the cost travelled. Eg. if I travel 9 miles it will cost $41. If the dependent variable is the cost then the independent variable is the distance

For D: (input x increase in the slope) + output for 0

(4.2 miles x $4) + 5

16.8 + 5 = $21.8; It will cost $21.8 to travel 4.2miles

For E: (distance x increase in cost) + output for 0

(? x 4) + 5 = 14

(14 - 5) = 9

9 ÷ 4 = 2.25miles; with 14 dollars I could travel 2.25 miles

(It is a bit confusing lol, but this is the way I understand it, if you can't understand it this way then use y = mx + b)

4 0
2 years ago
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
2 years ago
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