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Novosadov [1.4K]
3 years ago
9

-3t-8+7t =34 +9t -2 Solve for t Please give an exposition

Mathematics
2 answers:
notka56 [123]3 years ago
6 0

Answer: t= -8

Step-by-step explanation:

  • 3t-8+7t=34+9t-2
  • -3t+7t-8=9t+32-2
  • 4t-8=9t+32
  • t= -8
klasskru [66]3 years ago
4 0

Answer:

t = -8

Step-by-step explanation:

combine like terms, so -3t + 7t = 4t and 34 - 2 = 32

so 4t - 8 = 32 + 9t

then subtract 4t from both sides and subtract 32 from both sides. You will get: -40 = 5t.

Then divide both sides by 5 so you will get -8 = t

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Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi
ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

  • Angles around a point sum to 360°
  • 1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

\sf =\dfrac{360}{60} \times 25=150^{\circ}

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)

\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}

Given:

  • r = length of minute hand = 14 ft
  • \theta = 150°

\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}

4 0
2 years ago
A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it
nadya68 [22]
Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
3D + 4U = 108

4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116

3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108

Solving the equations:

7V + C = 116
7V - C = 108

14V = 224
V = 16km/hr —-> speed of boat

to get C:
7(16) + C = 116
C = 4km/hr

5 0
3 years ago
What is the value of a?
AlekseyPX

Answer:

Sorry can't help try asking someone else

Step-by-step explanation:

8 0
3 years ago
Show that in a quadrilateral ABCD, AB+BC+CD+DA<2(BD+AC)
Snezhnost [94]

Step-by-step explanation:

We know that the length of the diagonals will be more than the side.

Lets suppose the quadrilateral is a rectangle, with sides 6 and 4.

The length of a diagonal is:

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√36+16

√52

7.21(rounded off to 3 sig. fig.)

So, 6+4+6+4<2(7.21+7.21)

20< 2*14.42

20<28.84, which is true.

:)

7 0
3 years ago
A company has 12 000 employees. During the financial crisis in 2008, 2.5 % of them were retrenched
Lina20 [59]

Answer:

5610

Step-by-step explanation:

unaffected people will be (100%-2.5\%-50.75%)=46.75% of 12000:

12000\cdot 46.75\%=12000\cdot \frac{46.75}{100} =120\cdot 46.75=5610

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2 years ago
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