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Nookie1986 [14]

3 years ago

13

if a Balloon is filled with 282 cubic inches of a gas at a pressure of 14 pounds per square jnch, using inversely proportional f

ind the new pressure of the gas if the volume is decreased to 47 cubic inches

1 answer:

diamong [38]3 years ago

7 0

282 in³ - 14 lb/in²
235 in³ - x lb/in²

235x=282*14
235x=3948
x=16.8 lb/in²

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I need help this is really hard i still dont understand plss help

Dahasolnce [82]

Answer:

(b) 64 sq. in.

Step-by-step explanation:

The shaded area is the difference between the overall area and the areas of the cutout corners.

The overall area is 10 in by 10 in, so is ...

A = s² = (10 in)² = 100 in²

The area of the cutout at each of the four corners is ...

A = s² = (3 in)² = 9 in²

So, the total area of the four cutouts is ...

cutout area = 4 × 9 in² = 36 in²

The remaining area is then ...

100 in² -36 in² = 64 in²

8 0

2 years ago

Which point is on the line that passes through point Z and is perpendicular to line AB?

tankabanditka [31]

Step 1

<u>Find the slope of the line AB</u>

we know that

the formula to find the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

we have

$A(-2,4)\\B(0,-4)$

substitute in the formula

$m=\frac{(-4-4)}{(0+2)}$

$m=\frac{(-8)}{(0+2)}$

$m1=-4$

Step 2

<u>Find the slope of the line that passes through point Z and is perpendicular to line AB</u>

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

$m1*m2=-1$

$m2=-\frac{1}{m1}$

we have

$m1=-4$

substitute

$m2=\frac{1}{4}$

Step 3

<u>Find the equation of the line</u> <u>that passes through point Z and is perpendicular to line AB</u>

we have

$Z(0,2)\\m2=\frac{1}{4}$

we know that

the equation of the line into point -slope form is equal to

$y-y1=m*(x-x1)$

substitute

$y-2=\frac{1}{4}*(x-0)$

$y=\frac{1}{4}x+2$

<u>Verify which point is on the line that passes through point Z and is perpendicular to line AB</u>

we know that

If a point is on the line, then the coordinates of the point must be satisfy the equation of the line

we are going to proceed to verify each point to determine the solution

Substitute the values of x and y of the point in the equation of the line. If the equation is true, then the point is on the line

Step 4

point $A(-4,1)$

$1=\frac{1}{4}*(-4)+2$

$1=1$ --------> the equation is true

therefore

the point $A(-4,1)$ is on the line

Step 5

point $B(1,-2)$

$-2=\frac{1}{4}*(1)+2$

$-2=\frac{9}{4}$ --------> the equation is not true

therefore

the point $B(1,-2)$ is not on the line

Step 6

point $C(2,0)$

$0=\frac{1}{4}*(2)+2$

$0=\frac{5}{2}$ --------> the equation is not true

therefore

the point $C(2,0)$ is not on the line

Step 7

point $D(4,4)$

$4=\frac{1}{4}*(4)+2$

$4=3$ --------> the equation is not true

therefore

the point $D(4,4)$ is not on the line

<u>the answer is the option</u>

$A(-4,1)$

4 0

3 years ago

Read 2 more answers

Help anyone can help me do this question,I will mark brainlest.

andrey2020 [161]

Answer:

8 cm

Step-by-step explanation:

AM = MC = BM = (1/2) BC => AM , MC , BM = 5, => BC = 10
apply pytago => (AC ^ 2) + (AB ^ 2) = (BC ^2)
AB = $\sqrt{BC ^2 - AC ^2}$ = $\sqrt{10 ^2 - 6 ^ 2}$ = 8 (cm)

5 0

3 years ago

Read 2 more answers

Please help! ill mark you as brainleist if you get it correct!

sveta [45]

Answer:

7.96

Step-by-step explanation:

50/3.14

15.92

15.92/2

7.96

4 0

3 years ago

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Explain how you can tell, without computing, whether the quotient one -half divided into 6 is greater than one or less than one

Helga [31]

If you take 1/2 of a pizza and divide it up between 6 people, will you have more than 1 whole Pizza or less than 1 whole pizza?

If you divide up a fraction into smaller pieces it will always be less than 1 because it started out less than 1 and you're making it even smaller.

8 0

3 years ago