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
adelina 88 [10]
3 years ago
7

How many different triangles can you make from 6 cm,6 cm, and 4 cm?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

The sides of a triangle are 6cm, 6cm, and 4cm.

According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.

So,

6+6=12>4

6+4=10>6

4+6=10>6

Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.

You might be interested in
What is the sum or difference of 517 37/50 + 312 3/100
Romashka [77]
The sum is 829.77, and the difference is 205.44
8 0
4 years ago
I need help with this question please
Gemiola [76]

Answer:

X = 13

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

y=a(x+1)(x-5)=0

This gives

x=-1

y=5

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}

Thus the coordinates of B are:

B=(-1+\frac{2\sqrt{3} }{3},2)

Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

Thus

2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)

Therefore

a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}

\boxed{a=-0.3575}

8 0
3 years ago
The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Bezzdna [24]

Answer:

<em>The voltage at the middle source is</em> (2-4\mathbf{i})\ V

Step-by-step explanation:

<u>Voltage Sources in Series</u>

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

2 + 6\mathbf{i}

a + b\mathbf{i}

2 - 5\mathbf{i}

The sum of these voltages is:

V_t=4+a+(6+b-5)\mathbf{i}

Operating:

V_t=4+a+(1+b)\mathbf{i}

We know the total voltage is 6-3\mathbf{i}, thus:

4+a+(1+b)\mathbf{i}=6-3\mathbf{i}

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is (2-4\mathbf{i})\ V

5 0
3 years ago
If you roll a six-sided die, what is the probability you will obtain greater than a 2?
Delvig [45]

If we will roll a fair die then the outcomes wil be 1,2,3,4,5,6.

Hence, the total number of events= 6

3,4,5 and 6 are greater than 2.

So, there's 4 events which are greater than 2.

Now the formula to find the probability is:

probability=\frac{Number of events more than 2}{Total number of events.}

=\frac{4}{6}

=\frac{2}{3}

So, the probability of getting greater than a 2 is 2/3.

3 0
3 years ago
Read 2 more answers
Other questions:
  • If 2x = 60, find the value of 6 - 7x
    7·2 answers
  • Choose an inverse function and use SohCahToa to find angle A.
    7·1 answer
  • On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º. What is the measure of the thi
    10·1 answer
  • *I’ll give brainliest* Find the area of this triangle. Round to
    6·2 answers
  • Police Chase: A speeder traveling 40 miles per hour (in a 25 mph zone) passes a stopped police car which immediately takes off a
    11·1 answer
  • (2 mark) A group of 10 friends are planning to a trip. You are responsible for the flight tickets. You searched on the Internet
    6·1 answer
  • What is the slope of the line and y intercept pls help me
    6·1 answer
  • According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in
    12·1 answer
  • 13 Use the given angle to find the missing angles 109 pleaseee before Monday ​
    9·1 answer
  • Rania receives $40 for her birthday. Then he spends $15 at the movies.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!