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tia_tia [17]
3 years ago
15

I need help immediately with these two problems.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

(1) 25.5 meters square

(2) 1.5 hours

Step-by-step explanation:

(1) Tucker painted 2/3 of his deck before lunch so he has 1/3 of the deck to paint after lunch.(1 - 2/3). So you do 1/3 of  of the deck (76 1/2 meters square) to paint. 1/3 x 76 1/2 is 25 1/2 meters square. 25 1/2 is 25.5.

(2) This is like the last problem just with different numbers.  She has 3/5 of 2 1/2 hours left. So you times 3/5 by 2 1/2. You get 1 1/12 which is 1.5.

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Please solve this simultaneous equation, i'm not that good at it.<br><br> 2r-s=10<br> rs-s^2=12
o-na [289]

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

2r - s = 10

2r = 10 + s

r = 5 + s/2 --(1)

rs - s^2 = 12 --(2)

sub (1) into (2):

(5 + s/2)s - s^2 = 12

5s + 0.5s^2 - s^2 = 12

-0.5s^2 + 5s - 12 = 0

s^2 - 10s + 24 = 0

(s - 6)(s - 4) = 0

therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)

7 0
2 years ago
A passenger train left Chicago and traveled toward Elkhart at an average speed of 29 mph. A freight train left 2.4 hours later a
ElenaW [278]
29*2.4-36.5= 33.1 hrs before the freight train cought up.
5 0
3 years ago
Evaluate the expression if a = 9 and b = 2. 5(a 3b) 20 51 70 75
devlian [24]
5(a + 3b) = 5(9 + 3(2)) = 5(9 + 6) = 5(15) = 75
5 0
3 years ago
Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0
saw5 [17]

Answer:

The equation of the line is;

y = 3x + 18

Step-by-step explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18

4 0
2 years ago
A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each
Nadya [2.5K]

Answer:

312.5\pi \text{ km}^3\approx 981.75\text{ km}^3

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}, where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3

Therefore, the volume of earth removed to build the three tunnels is 312.5\pi \text{ km}^3\approx 981.75\text{ km}^3.


4 0
3 years ago
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