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Ne4ueva [31]
3 years ago
11

PLEASE HELP with this Geometry question

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Step-by-step explanation:

DE = 5x-2

DF = 3(x+3)

3(x+3) = 3 + 5x-2

3x+9= 5x+1

2x=8

x=4

DE=5×4-2=18

DE=18

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What is the radius of a sphere with a volume of 7961 cm", to the nearest tenth of a<br> centimeter?
statuscvo [17]

Answer:

12.4 cm

Step-by-step explanation:

Use the sphere volume formula, V = \frac{4}{3}\pir³

Plug in the volume and solve for r, the radius:

V = \frac{4}{3}\pir³

7961 = \frac{4}{3}\pir³

1900.55 = r³

12.39 = r

So, the radius of the sphere is approximately 12.4 cm

6 0
3 years ago
The world brand of rivet placement is 11209 rivets in 9 hours and belongs to J. Mair of Ireland. If another person places 11209
Ilya [14]

Answer:

4.74 hours

Step-by-step explanation:

Given that both person have to place same number of rivets that is

11209

first person take 9 hours to complete the work

hence 1 hour work of 1st person is \frac{1}{9} of total work

second person takes 10 hours to complete the same work

hence 1 hour work of 2nd person is \frac{1}{10}

Now if both work together then

1 hour work of both person = \frac{1}{9} +\frac{1}{10} =\frac{19}{90}

thus working together they need \frac{90}{19} hours = 4.74 hours to complete the whole work which is placing 11209 rivets  

5 0
3 years ago
Can anyone help me with 9th-grade geometry?
katovenus [111]

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2  sets of base angles are equal.

As the base angles are congruent  m < E = m < R.

So the are  2 triangles are congruent by SAS,  ASA and AAS.

7 0
3 years ago
You have $36,948.61 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until y
Luba_88 [7]
Current amount in account
P=36948.61

Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n

Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11

We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000

We can solve this by trial and error.


The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000.  It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.

So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.

So it takes 15.00 years to reach the goal of 280000 years.
8 0
3 years ago
F(x) = 4x+8<br> g(x) = x+3,<br> Find f(x)*g(x)
klemol [59]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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