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skad [1K]
2 years ago
9

A boat has a rip-hole in the bottom while 20 miles away from the shore. The water comes in at a rate of 1.5 tons every minute, a

nd the boat would sink after 70 tons of water came in. How fast must the boat go in order to reach the shore before sinking?
Mathematics
1 answer:
Montano1993 [528]2 years ago
7 0

Answer:

t = 70 tons/1.5 tons/min = 46.7 min = 2800 sec before boat sinks

S = V * t

V = S / t = 20 mi * 5280 ft/mi / 2800  sec  = 37.7 ft/sec

Since 88 ft/sec = 60 mph

the speed is 60 * 37.7 / 88 = 25.7 mph

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If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
nexus9112 [7]

Answer:

400cm

Step-by-step explanation:

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2 years ago
The measure of one side of a square is (8 + 3) inches long. Which pair of expressions both represent the perimeter this square?
tensa zangetsu [6.8K]

Given:

The side of a square a, s+3.

The perimeter of a square is the sum of the four sides of the square. Hence,

\begin{gathered} P=s+3+s+3+s+3+s+3 \\ =4(s+3) \end{gathered}

5 0
9 months ago
Solve for x, y, and z
zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

x=\frac{8+3y-4z}{2}...(4)

Put equation (4) into equation (2) and (3)

3(\frac{8+3y-4z}{2})+4y-5z=-4

Multiply through by;

3(8+3y-4z)+8y-10z=-8

Expand;

24+9y-12z+8y-10z=-8

Simplify;

17y-22z=-32...(5)

Equation (4) in (3)

4(\frac{8+3y-4z}{2})-5y+6z=12

2(8+3y-4z)-5y+6z=12

16+6y-8z-5y+6z=12

y-2z=-4

y=2z-4...(6)

Put equation (6) into equation (5)

17(2z-4)-22z=-32

34z-68-22z=-32

34z-22z=-32+68

12z=36

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

x=\frac{8+3(2)-4(3)}{2}=1

The solution is x=1,y=2,z=3

3 0
3 years ago
Use Julia’s work and finish finding the areas of the faces what is the surface area of the rectangular pyramid
hoa [83]

Answer:

The surface area of the rectangular pyramid is SA=109.50\ m^{2}

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces

so

SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)]

SA=40+29.50+40

SA=109.50\ m^{2}

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3 years ago
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
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Answer:

x=8

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LN is congruent to NL

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2 years ago
Read 2 more answers
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