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3 years ago

7

Write each expression as the product of its factor 24× ^2

1 answer:

Naddik [55]3 years ago

4 0

Raise
24
to the power of
2

.
Answer: 576

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An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the

sveticcg [70]

<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.

If BP= 6 cm and CP= 5 cm, we have:

BP/CP = AB/AC

We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:

1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm

2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm

Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>

6 0

3 years ago

Rewrite the equation in standard form 2x^2=5x+6

FrozenT [24]

Answer:

$2x^{2} =5x+6\\$

Step-by-step explanation:

8 0

2 years ago

Please help me i dony know how to do this

Ipatiy [6.2K]

Substitute y = -2x + 4 into 7y = -14x +28

7y = -14x +28
7(-2x + 4)= -14x +28
-14x + 28 = -14x +28
0 = 0

answer
infinitely many solutions

8 0

4 years ago

Robbert wants to put lights around the edge of his yard.The yard if 40 feet long and 23 feet wide.How many yards of light does h

slega [8]

Answer:

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.

6 0

3 years ago

第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows

tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

$P(A/B)=\frac{P(A)*P(B/A)}{P(B)}$

let A be the event that the student knows the answer .

B be the event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

$P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}$

Probability that the answer is correct ,given that he knows the answer is

$P(E/A)=1$

Probability that the answer is correct ,given that he guesses it is

$P(E/B)=\frac{1}{3}$ [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability $P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}$

Substituting the values we get

$P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }$

$=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}$

Therefore , the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

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8 0

1 year ago