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Harrizon [31]
3 years ago
12

This question is 11 points

Mathematics
2 answers:
kipiarov [429]3 years ago
8 0

Answer:

A = 60

B = 55

C = 65

Step-by-step explanation:

The sum of the angles of a triangle is 180

A + B+C = 180

x+ x-5 + 65 = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x= 180-60

2x= 120

Divide by 2

2x/2 = 120/2

x= 60

A = 60

B = 60-5= 55

C = 65

Readme [11.4K]3 years ago
6 0

Answer:

Angle A: 60°

Angle B: 55°

Angle C: 65°

Step-by-step explanation:

180° = 65° + x + (x-5)

Subtract 65° from both sides

115° = x+(x-5)

115° = 2x-5

Add 5 to both sides

120° = 2x

Divide both sides by 2

x = 60°

Angle A: 60°

Angle B: 55°

Angle C: 65°

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A rectangle photograph is mounted on a square piece of cardboard whose sides have length of X. The border of the surroundings th
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The third choice.
The sides of the photo plus the margins of the border equal x.

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3 years ago
2. What is the experimental probability of rolling a 4
boyakko [2]

Answer:

1. 40%

2. The theoretical probability is 3% greater than the experimental probability.

Step-by-step explanation:

We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;

(the number of times a 4 was rolled)/(total number of rolls)

8/20 = 0.4

0.4*100 = 40%

The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;

P(HT or TH or TT)

The above events are mutually exclusive, thus;

P(HT or TH or TT) = P(HT) + P(TH) + P( TT)

                               = (22+34+16)/(28+22+34+16)  

                               = 0.72 = 72%

On the other hand, the theoretical probability of obtaining at least one tails,

P(HT or TH or TT) = 3/4

                              = 75%

This is because there is at least one tail in 3 out of 4 possible outcomes.

Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.

6 0
2 years ago
Read 2 more answers
Is -33 a whole number?​
Jet001 [13]

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

5 0
2 years ago
F is a polynomial of degree 6. f has a root of multiplicity
frutty [35]

Answer:

f(x) = 0.43 * (x - 3)^{2}  * (x-1)^{3}*(x + 10)

Step-by-step explanation:

We have a 6th degree polynomial  f(x)

r = 3 is a root of f with multiplicity 2

r = 1 is a root of f with multiplicity 3

f(-5) = -29721.6

f(-10) = 0

Then:  f(x) = a*((x -3)^2 ) * ((x - 1)^3)*(x + 10)

f(-5) = a *  (-8)^2 *  (-6)^3  *  (5)  =  -29,721.6

a* (64) * (-216)* 5 = -29,721.6

-a*69,120 = -29,721.6

a =  -29,721.6/-69,120

a =  0.43

so

f(x) = 0.43 * (x - 3)^{2}  * (x-1)^{3}*(x + 10)

4 0
3 years ago
A student ID number is a letter of the alphabet followed by 2 digits. How many different IDs are possible if the digits can be r
mars1129 [50]
First, there are 26 distinct alphabets and 10 distinct digit numbers.

Then, the first digit of ID has 26 possibilities.

For the rest of 2 digits, the total cases are 10*10 = 100 possibilities.

However, there are 10 cases are repeated when two digits are the same. so you have  to subtract it by 10

So answer will be 26 * (100-10) = 23400

4 0
3 years ago
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