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
Aliun [14]
2 years ago
10

How many triangles can you make with two side lengths of 6 inches that meet at a 50 degree angle.

Mathematics
2 answers:
Sonbull [250]2 years ago
5 0
<h3>Answer: Exactly One Triangle</h3>

======================================================

Explanation:

Recall that by the SAS (side angle side) congruence theorem, if we know that two pairs of sides are the same length and the angles between them are also congruent, then we can conclude the triangles are congruent. This further means that we can only construct exactly one triangle with two side lengths of 6 inches, and they form a 50 degree angle between them. Applying transformations such as rotations, translations, or reflections will not change the triangle.

Side note: This triangle is isosceles because two sides are the same length. It is not equilateral because we would need to have all three angles to be 60 degrees.

kirza4 [7]2 years ago
5 0

Answer:

One triangle only

Step-by-step explanation:

You might be interested in
Suppose that bugs are present in 1% of all computer programs. A computer de-bugging program detects an actual bug with probabili
lawyer [7]

Answer:

(i) The probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

Step-by-step explanation:

Denote the events as follows:

<em>B</em> = bugs are present in a computer program.

<em>D</em> = a de-bugging program detects the bug.

The information provided is:

P(B) =0.01\\P(D|B)=0.99\\P(D|B^{c})=0.02

(i)

The probability that there is a bug in the program given that the de-bugging program has detected the bug is, P (B | D).

The Bayes' theorem states that the conditional probability of an event <em>E </em>given that another event <em>X</em> has already occurred is:

P(E|X)=\frac{P(X|E)P(E)}{P(X|E)P(E)+P(X|E^{c})P(E^{c})}

Use the Bayes' theorem to compute the value of P (B | D) as follows:

P(B|D)=\frac{P(D|B)P(B)}{P(D|B)P(B)+P(D|B^{c})P(B^{c})}=\frac{(0.99\times 0.01)}{(0.99\times 0.01)+(0.02\times (1-0.01))}=0.3333

Thus, the probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii)

The probability that a bug is actually present given that the de-bugging program claims that bug is present is:

P (B|D) = 0.3333

Now it is provided that two tests are performed on the program A.

Both the test are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is:

P (Bugs are actually present | Detects on both test) = P (B|D) × P (B|D)

                                                                                     =0.3333\times 0.3333\\=0.11108889\\\approx 0.1111

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii)

Now it is provided that three tests are performed on the program A.

All the three tests are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is:

P (Bugs are actually present | Detects on all 3 test)

= P (B|D) × P (B|D) × P (B|D)

=0.3333\times 0.3333\times 0.3333\\=0.037025927037\\\approx 0.037

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

4 0
3 years ago
Solve for m. -19m − 19 = 4m − 4m + 19
dangina [55]
-19m-19 = 4m-4m+19
-19m-19 = 0+19
-19m = 19+19
-19m = 38
m = 38÷(-19)
m = -2
7 0
3 years ago
Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she
Sergeeva-Olga [200]
A) .10 d + .25 q = 7.75
B) d + q = 40

Multiplying B) by -.10
B)  -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75

Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75

Correct!!


6 0
3 years ago
Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an
mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

80d+61=701

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

80d+61-61=701-61\\\\80d = 640

Now Dividing both side by 80 we get;

\frac{80d}{80}=\frac{640}{80}\\\\d=8

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0
3 years ago
An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=
tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve 100e^{0.05t}=150.

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

100e^{0.05t}=150

Divide both sides by 100:

e^{0.05t}=\frac{150}{100}

e^{0.05t}=1.5

Rewrite in logarithm form.

\ln(1.5)=0.05t

Divide both sides by 0.05:

\frac{\ln(1.5)}{0.05}=t

Put left hand side into calculator:

8.109 \approx t

t \approx 8.109

So about 8 years if I wrote down the equation correctly.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What’s 54/65 as a decimal rounded to the nearest thousandth
    8·1 answer
  • What is the domain of f(x)=3^x
    13·1 answer
  • The perimeter of a rectangle pool is 160 yards. if the length is 10 yards less than twice the width, find the length and the wid
    6·1 answer
  • Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. She bought seven total shirts. How many fancy and
    7·1 answer
  • If 4 grapefruits sell for .84 cents, how much will 6 grapefruits cost
    14·2 answers
  • Can some one please answer this it is due tomorrow and I could use some help thanks!
    14·1 answer
  • During each week of piano lessons, Lila learns to play 2 new pieces. After 4 weeks of piano lessons, how many total pieces will
    7·2 answers
  • Rectangle ABCD is translated and then reflected to create rectangle A'B'C'D'. Do rectangle ABCD and rectangle A'B'C'D' have the
    12·1 answer
  • The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
    8·1 answer
  • Sam ran 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!