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3 years ago

Gordon types 1,800 words in 25 minutes how many words per hour?

Mathematics

2 answers:

ANEK [815]3 years ago

8 0

45000 is the answer because 1800 x 25 = 45000

damaskus [11]3 years ago

4 0

1800 divided by 25 is 72 words per minute 72 times 60 is 4320. So the answer is 4320 words per hour

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What is the 10th term of the geometric sequence 400, 200, 100...?

Vsevolod [243]

ANSWER

$a_ {10} = \frac{25}{32}$

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

$a_1=400$

The common ratio is

$r = \frac{200}{400} = \frac{1}{2}$

The nth term is

$a_n=a_1( {r}^{n - 1} )$

We substitute the known values to get;

$a_n=400( \frac{1}{2} )^{n - 1}$

$a_ {10} =400( \frac{1}{2} )^{10 - 1}$

$a_ {10} =400( \frac{1}{2} )^{9}$

$a_ {10} = \frac{25}{32}$

4 0

3 years ago

I need help with this geometry question

UNO [17]

Answer:

radius ≈ 15.5

Step-by-step explanation:

the radius is RS

the angle between a tangent and the radius at the point of contact is 90°

then Δ RST is a right triangle

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

RS² + ST² = RT² ( substitute values )

RS² + 7² = 17²

RS² + 49 = 289 ( subtract 49 from both sides )

RS² = 240 ( take square root of both sides )

RS = $\sqrt{240}$ ≈ 15.5 ( to 1 dec. place )

6 0

1 year ago

Please may someone help me with these two questions I'm struggling with above.

34kurt

Answer:

Perimeter = 21 units

Volume = 110 cubic units

Step-by-step explanation:

Let the center of circle be (x,y).

$(x+2)^{2} +(y-7)^{2} = (x)^{2}+(y+2)^{2}$

4x - 18y = - 45

$(x)^{2}+(y+2)^{2}=(x-2)^{2}+(y-2)^{2}$

4x + 8y = 4

x + 2y = 1

Solving these 2 equations,

4 - 26y = -45

y = $\frac{49}{26}$

x = $\frac{-36}{13}$

radius = 3.35

Perimeter = 2 $\pi r$ = 21 units

Volume of cylinder = $\pi r^{2} h$

We have to add the volumes of the cylinders.

Volume of smaller cylinder = $\pi \times 2^{2} \times 2$ = 8 $\pi$

Volume of larger cylinder = 27 $\pi$

Total volume = 35 $\pi$ = 110 cubic feet

5 0

3 years ago

Erick ran 3 miles in 20 minutes. What was Erick’s average speed?

irinina [24]

Answer:

6.666666666666... minutes per mile

4 0

2 years ago

Read 2 more answers

The perimeter of a parallelogram is 15.42 cm. The length of its sides is 2.93. What isthe lengths of its other sides?

KATRIN_1 [288]

Paaralellogram has 2 pairs of paralell sidess
therefor there are 2 pairs of sides with same legnth
perimiter=legnth+widht+legnth+width since the opposite sides ar the same sinnce paralell
perimiter=2legnth +2width

perimiter=15.42
legnth=2.93
subsitute
15.42=2(2.93)+2width
15.42=5.86+2width
subtract 5.86 from both sides
9.56=2width
divide both sides by 2
4.78

legth of ther side is 4.78 cm

6 0

2 years ago