1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flura [38]
2 years ago
5

A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters, and the distance betw

een the mouse's holes is 6 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Leviafan [203]2 years ago
8 0

Answer:

  5.7 meters

Step-by-step explanation:

The Pythagorean theorem can be used to find the second leg (b) of a triangle with diagonal (c) 6 meters and first leg (a) 2 meters.

  c^2 = a^2 + b^2

  6^2 = 2^2 +b^2

  b^2 = 36 -4 = 32

  b = √32 ≈ 5.7 . . . . meters

The kitchen is about 5.7 meters long.

You might be interested in
Timed ! Help please
Mkey [24]

B. is the answer hope I got it right: )

7 0
3 years ago
Using the given information write the equation of parabolas:
lana [24]

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

8 0
3 years ago
MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
Varvara68 [4.7K]

Answer:

\sf \: Proved \: \angle \: OAD  \:  =  \angle \: OCD

Step-by-step explanation:

<em>Given:</em>

Mn is diameter of circle having centre O

and BD = OD,

<em><u>To prove that:</u></em>

<u>\angle \: OAD  \:  =  \angle \: OCD</u>

<em>Solution:</em>

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

OC =OB → (Radius of same circle)

BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

\angle \: OBD  \:  =  \angle \: OCD

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

\angle \: OBD  \:  =  \angle \: OAB \\ \angle \: OAB  \:  =  \angle \: OAD (same \: angles) \\ \angle \: OBD  \:  =  \angle \: OAD

Consider above prove as statement B

From Statement A & B we can say that

\angle \: OAD  \:  =  \angle \: OCD

<em>Thanks for joining brainly community!</em>

5 0
2 years ago
Please help me out :((
olga_2 [115]

Answer:

1) 5*x + 6 = 2 + 3*x

5*x - 3*x = 2 - 6

(5 - 3)*x = -4

2*x = - 4

x = -4/2 = -2

x = -2

We have only one solution.

2) 2*(6 - 2*y) = -1*(4*y - 9)

12 - 4*y = -4*y + 9

12 - 9 = -4*y + 4*y = 0

3 = 0

This is absurd, so this equation has no solution.

3) 2*z - 6 = 2*(z + 2) - 10

2*z - 6 = 2*z + 4 - 10

2*z - 6 = 2*z - 6

Here we have the exact same thing on both sides of the equation, then we have infinite solutions, this happens because z can take any value, and the equation will be true always.

4) We want to have no solutions, so we need to end with something like:

1 = 6

so, we start with:

5*x + 1 = 5*x + A

We want to find the value of A.

First, we can subtract 5*x in both sides, so we get:

1 = A

Now we just need to take A different than 1, for example, if A  = 2, then:

1 = 2

In this case the equation has no solutions, then we have:

5*x + 1 = 5*x + 2

5) We want to have one solution:

3*x - 3 = A*x + 11

We want to end with something like x = k

Let's solve the equation for x:

3*x - 3 = A*x + 11

3*x - A*x = 11 + 3

(3 - A)*x = 14

if we take A = 2, then:

(3 - 2)*x = 14

x = 14

So this equation has only one solution, the equation is:

3*x - 3 = 2*x + 11

6) We want to have infinitely many solutions, then we need to have the same thing on both sides, then we need to have an equation like:

8*x - 7 = 8*x - 7

6 0
3 years ago
A doctor orders a dosage of 5 ml of medicine every 4 hours for 8 days. How many fluid ounces of medicine should be​ purchased?
MAXImum [283]
24 ÷ 4 = 6
6 × 8 = 48 
5 × 48 = 240 
240 × 0.033814 = 8.11536
8.11536 fluid ounces should be purchased.
5 0
3 years ago
Other questions:
  • Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1
    14·1 answer
  • Find the distance between the two points (2,5) and (6,-1)
    10·2 answers
  • Suppose chocolate is on sale for $0.40 a bar and you have a coupon for $0.20 off your total
    8·1 answer
  • Can y’all give me strategies(the way you hadit click) y’all have done to remember math.
    7·1 answer
  • List the numbers that have 18 as a multiple.
    8·1 answer
  • How many solutions are there to the equation shown below?<br><br> 7x + 12 = 5x – 8
    10·1 answer
  • Match the numbers in scientific notation with the corresponding numbers in standard notation. 2.32E9
    6·1 answer
  • Flights 104 and 217 are both approaching Norfolk International Airport from opposite directions at the
    6·1 answer
  • Please help me, 65 points to someone who can help me.
    6·2 answers
  • Answer to {[(8 - 3) x 2] + [(5 x 6) - 5]} divided by 5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!