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3 years ago

8

Find the measure of the indicated arc or angle.

1 answer:

Charra [1.4K]3 years ago

8 0

Answer:

you have to subtract those two numbers

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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

8 0

3 years ago

Triangle XYZ has vertices X(0,3), Y(2,0) and Z(4,2). if yo reflect triangle XYZ across the line x=4, what will be the coordinate

Paha777 [63]

As X' is the reflected point of X(0,3) , so the x co ordinate of X' = 0+8 =8 and here y co ordinate remains same.

So, X'= (8,3)

Like that way, Y' is the reflected point of Y(2,0) and Z' is the reflected point of Z(4,2)

As the point Z is lying on the line x=4 and the reflection is also across that line, so both Z and Z' represent same point.

Y'= (2+4, 0) = (6, 0)

Z' = (4, 2)

3 0

3 years ago

For each part below, give an example of a linear system of

N76 [4]

Answer:

a)g: 3x + 4y = 10 b) a:x+y = 5 c) c: 3x + 4y = 10

h: 6x + 8y = 5 b:2x + 3y = 8 d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations gives you parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations gives you intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations gives you collinear lines refer attachment

i) if we add x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5 to change the unique solution you had to a different unique solution

7 0

3 years ago

(m? - 5 m +6 )<br>÷(m - 2)

leonid [27]

Answer:

(m? - 5 m +6 ) ÷ (m - 2) = $\frac{m}{-5m+6} / (m - 2)$

Step-by-step explanation:

Divide the first expression by the second expression.

$\frac{m}{-5m+6} / (m - 2)$

I hope this helps.

4 0

3 years ago

Read 2 more answers

Help, please, I’m so confused

mel-nik [20]

Answer:

Uhhh just do all the process corectly :)

6 0

3 years ago

Read 2 more answers