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3 years ago

A submarine was 20 feet below sea level. If it ascends (goes up) 30 feet,

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

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Which of the following describes how a lake might form?

jek_recluse [69]

Answer:

I think the answer is all of the above

6 0

3 years ago

What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank read

chubhunter [2.5K]

Answer:

53.08 ft

Step-by-step explanation:

The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.

Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have

h = P/ρg

Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa

Substituting the values of the other variables into h, we have

h = P/ρg

h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)

h = 158579.48 Pa/(9800 kg/m²s²)

h = 16.18 m

h = 16.18 × 1 m

h = 16.18 × 3.28 ft

h = 53.08 ft

8 0

3 years ago

Is 1.75 grater than -4

rodikova [14]

Yes 1.7 is greater than -4

8 0

3 years ago

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Rus_ich [418]

Answer:

$y=\frac{-1}{3}x-4$

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

$m=\frac{-2-(-7)}{-6-9}$

$m=\frac{-2+7}{-15}$

$m=\frac{5}{-15}$

$m=\frac{-1}{3}$

$y=\frac{-1}{3}x+b$

Step 3: Find y-intercept b

$-7=\frac{-1}{3}(9)+b$

$-7=-3+b$

$-4=b$

Step 4: Write linear equation in slope-intercept form

$y=\frac{-1}{3}x-4$

8 0

3 years ago

The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the

Paraphin [41]

Given:

Consider the vertices of the triangle are (4,4) (6,7) and (8,0).

The triangle is dilated by a scale factor of 3.

To find:

The vertices of the new triangle after dilation.

Solution:

If a figure is dilated by scale factor k with origin as the center of dilation, then the rule of dilation is:

$(x,y)\to (kx,ky)$

The given figure is dilated by scale factor 3 with origin as the center of dilation, then the rule of dilation is:

$(x,y)\to (3x,3y)$

Let the vertices of the triangle are A(4,4), B(6,7) and C(8,0).

Using this rule of dilation, we get

$A(4,4)\to A'(3(4),3(4))$

$A(4,4)\to A'(12,12)$

Similarly,

$B(6,7)\to B'(3(6),3(7))$

$B(6,7)\to B'(18,21)$

And,

$C(8,0)\to C'(3(8),3(0))$

$C(8,0)\to C'(24,0)$

The vertices of the new triangle are (12,12), (18,21), (24,0).

Therefore, the correct option is 4.

7 0

3 years ago