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3 years ago

Simplify the radical expression. Please explain how you got your answer. √25*√4

Mathematics

2 answers:

Deffense [45]3 years ago

6 0

Since both numbers are in the radical just multiply and get sq rt

25 times 4 =100
√100=10 answer

Annette [7]3 years ago

3 0

Okay, there is also another way to do it, and if you don't want to do mine, do Lisee7 steps:
√25=5
√4=2
5×2=10 and here is the answer. Hope it help!

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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

A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?

faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

$_{n}P_{k}=\dfrac{n!}{(n-k)!}$

n = 4

k = 3

$_{n}P_{k}=\dfrac{4!}{(4-3)!}$

$_{n}P_{k}=\dfrac{4!}{1!}$

$_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}$

$_{n}P_{k}=\dfrac{4*3*2*1!}{1}$

$_{n}P_{k}=\dfrac{24}{1}$

7 0

2 years ago

Sam spent $16 on a large pizza and two drinks. If the pizza was 75% of the cost, how much did each drink cost?

Veseljchak [2.6K]

Each drink costs $2.

7 0

2 years ago

−5/8+3/4 equals what, In fraction form.

kipiarov [429]

How to get answer by Mimiwhatsup (In Decimal Form):

$-5/8+3/4\\\mathrm{Divide\:the\:numbers:}\:5\div \:8=0.625\\=-0.625+3\div \:4\\\mathrm{Divide\:the\:numbers:}\:3\div \:4=0.75\\=-0.625+0.75\\\mathrm{Add/Subtract\:the\:numbers:}\:-0.625+0.75=0.125\\=0.125$

Answer in Fraction Form: $\frac{1}{8}$

7 0

3 years ago

A sign standing 6 feet tall is situated 18 feet away from a flag pole. at a certain time of day the sign's shadow is 3 feet long

alexdok [17]

Observe attached picture.

On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft

When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
$tan \alpha = \frac{C}{D}$
Similarly we can do for large triangle containing flagpole:
$tan \alpha = \frac{A}{B}$

We see that these two equations have same left sides. This means that their right sides must also be same:
$\frac{C}{D} = \frac{A}{B}$
We can solve for A:
$CB=AD \\ A= \frac{CB}{D} \\ A= \frac{6*24}{3} \\ A=48 ft$

Height of flagpole is 48 feet.

8 0

3 years ago