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3 years ago

Solve for x. you must show all of your work to receive credit.

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is

5x + 17 = $\frac{1}{2}$ (37x + 5 - (23x - 5) )

5x + 17 = $\frac{1}{2}$ (37x + 5 - 23x + 5)

5x + 17 = $\frac{1}{2}$ (14x + 10) ← multiply both sides by 2 to clear the fraction )

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

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Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

By robot A

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

By robot B

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

By working together

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

4 0

3 years ago

Read 2 more answers

Chris is behind in 9 classes of school he has a total time of 25 days to make up 75 hours and 4 minutes worth of late work how m

Vlad1618 [11]

Answer:

Step-by-step explanation:

First, convert the 4 mins into hours by dividing by 60;

4/60 =0.067

Add 0.067 to 75 hrs to get the total = 75+0.067 = 75.067

Therefore the total time Chris needs to make up for is 75.067 hrs

Total number of days Chris has = 25

Next,

IF in 25 days = he can cover 75.067hrs

then in 1 day he will cover = (1 * 75.067)/ 25

= 3.002

Therefore, Chris needs to do 3hrs each day to be able to complete the deadline

3 0

3 years ago

the seating capacity of basketball stadium is 5782 the seats are arranged in 24 sections of the same size any seats over from th

notsponge [240]

5782/24=240 since we round down to s whole.

Multiply again by 24.
240*24=5760

There are 5782-5760=22 priority seats.

The correct answer is 22.

3 0

3 years ago

If a=(-1, -3) and b=(11, -8) what is the length of ab?

professor190 [17]

Answer: D. The length is 13 units.

Step-by-step explanation:

(-1, -3 ) Find the difference between the x values and y values.

(11, -8)

-3-(-8) = 5

-1-11 = -12 now find the absolute values.

The absolute value of 5 is 5 . The absolute value of -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2

169=c^2

c= 13

8 0

3 years ago

Multiply write in simplest form 1/2×2 and 3/8

S_A_V [24]

Answer:

The simplest form of 1/2 x 2 is 2 or 2/1 or 4/2.

The simplest form of 3/8 is 3/8.

Step-by-step explanation:

(look at picture)

5 0

3 years ago