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4 years ago

ΔABC has vertices A(0,10), B(4,10), and C(-2,4).

Mathematics

2 answers:

love history [14]4 years ago

5 0

The orthocenter is the point of intersection of the altitude lines of the triangle. Of course, each altitude line is perpendicular to a side and passes through the vertex opposite.

A graphing program shows the appropriate choice to be
d (-2, 12)

_____
Here, the answer choices are sufficiently far apart that you can pick the appropriate one "by eye." No calculations are necessary. The altitude lines to segments AB and BC must intersect in the second quadrant. Only one answer choice lies there.

anastassius [24]4 years ago

4 0

Answer:

The answer is D.

Step-by-step explanation:

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at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

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6 0

2 years ago

Read 2 more answers

32 markup 12.5% retail price

Leya [2.2K]

Answer: 36 is the correct answer.

12.5% = .125

32 x .125 = 4

32 + 4 = 36

Step-by-step explanation: I hope this helped you out.

6 0

3 years ago

How do I factor the equation in writing this question?

SCORPION-xisa [38]

Step-by-step explanation:

You are just replacing the 'n' with the number in the 'n box'.

So if this is the formula:

$b(n) = 4 - (n \div 3)$

then:

B(-3)= 4-(-3/3)

B(-3)= 4-( -1)

B(-3)= 4+1

B(-3)= 5

B(0)= 4-(0/3)

B(0)= 4-0

B(0)= 4

B(3)= 4-(3/3)

B(3)= 4-1

B(3)= 3

6 0

3 years ago

Graph the image of square CDEF after a reflection across the x-axis

Rina8888 [55]

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

5 0

3 years ago

Which numbers belongs in the box?

EleoNora [17]

Answer:

Step-by-step explanation:

$42 + 120 = 2 + 160$

3 0

3 years ago

Read 2 more answers