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
Ainat [17]
3 years ago
7

Which of the following is the missing side length that completes Pythagorean triple below

Mathematics
2 answers:
nata0808 [166]3 years ago
4 0
Pythagorus Theorm
a sqr + b sqr = c sqr
25 sqr + 7 sqr = c sqr
625 + 49 = c sqr
625 + 49 = 674

c = sqr root of 674
c = 25.96 (rounded to 2dp)
klemol [59]3 years ago
3 0
The hypotenuse length is 25 and the length of one of the sides is 7.

According to the Pyth. Thm., 25^2 = 7^2 + s^2, or 625-49 = s^2.

The missing side length is s = sqrt(576) = 24.  (Omit s = -24).
You might be interested in
Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enq
Kazeer [188]

Responder:

3 horas

Explicação passo a passo:

Dado :

Miguel a cada 45 minutos

Nádia a cada 60 minutos

Número de horas que eles vão se ver no mesmo lugar:

Para fazer isso ;

Obtenha o menor múltiplo comum de 60 e 45

Múltiplos de:

45: 45, 90, 135, 180, 225.

60: 60, 120, 180, 240, 300.

O menor múltiplo comum de 45 e 60 é 180

° Assim, eles se verão no mesmo lugar após 180 minutos;

Número de horas = 180/60 = 3 horas

6 0
2 years ago
What is the answer to 3a+5-x+7x-2a
Black_prince [1.1K]
The answer to your problem is a+6x+5.
4 0
3 years ago
Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for reg
Contact [7]

Answer:

a) MAX--> PC (R,P) = 0,3R+ 0,5P

b) <u>Optimal solution</u>: 40.000 units of R and 10.000 of PC = $17.000

c) <u>Slack variables</u>: S3=1000, is the unattended demand of P, the others are 0, that means the restrictions are at the limit.

d) <u>Binding Constaints</u>:

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

Step-by-step explanation:

I will solve it using the graphic method:

First, we have to define the variables:

R : Regular Gasoline

P: Premium Gasoline

We also call:

PC: Profit contributions

A: Grade A crude oil

• R--> PC: $0,3 --> 0,3 A

• P--> PC: $0,5 --> 0,6 A

So the ecuation to maximize is:

MAX--> PC (R,P) = 0,3R+ 0,5P

The restrictions would be:

1. 18.000 A availabe (R=0,3 A ; P 0,6 A)

2. 50.000 capacity

3. Demand of P: No more than 20.000

4. Both P and R 0 or more.

Translated to formulas:

Answer d)

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

To know the optimal solution it is better to graph all the restrictions, once you have the graphic, the theory says that the solution is on one of the vertices.

So we define the vertices: (you can see on the graphic, or calculate them with the intersection of the ecuations)

V:(R;P)

• V1: (0;0)

• V2: (0; 20.000)

• V3: (20.000;20.000)

• V4: (40.000; 10.000)

• V5:(50.000;0)

We check each one in the profit ecuation:

MAX--> PC (R,P) = 0,3R+ 0,5P

• V1: 0

• V2: 10.000

• V3: 16.000

• V4: 17.000

• V5: 15.000

As we can see, the optimal solution is  

V4: 40.000 units of regular and 10.000 of premium.

To have the slack variables you have to check in each restriction how much you have to add (or substract) to get to de exact (=) result.  

3 0
3 years ago
What is the solution to the equation 1/4x-1/8=7/8+1/2x?​
PolarNik [594]
First multiply them all by 8
2x - 1 = 7 + 4x
Subtract 2x
-1 = 7 + 2x
Subtract 7
-8 = 2x
Divide by 2
X = -4
5 0
3 years ago
Find the solution set of the inequality −4x+35&gt;2
vodomira [7]

Answer:

x < 37/4

Step-by-step explanation:

−4x+35>2

Subtract 35 from each side

−4x+35-35>2-35

-4x > -37

Divide each side by -4. remembering to flip the inequality

-4x/-4 < -37/-4

x < 37/4

6 0
3 years ago
Other questions:
  • Solve for x. <br><br> 89(54x−36)+2=−34(−40+16x)+90x
    9·1 answer
  • A pelican dives straight down from 50.7 feet above the ocean and catches a fish 5.6 feet under the water. What is the total dist
    5·1 answer
  • WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the follow
    8·1 answer
  • True expression -50x+ 100 represents the balance, in dollars, of a bank account after x months. What is the range of change, in
    6·1 answer
  • I need to simplify this pls help
    11·2 answers
  • 1.Match the graph to the number of solutions. Choose: -One solution -infinite solutions -two solutions -three solutions no solut
    10·1 answer
  • A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through
    13·1 answer
  • Very lost on this one! Anyone know?
    7·1 answer
  • Which of the following equations shows how substitution can be used to solve
    5·1 answer
  • Tell whether the lines through the given points are parallel, perpendicular, or neither.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!