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2 years ago

If sin = 2/5, what is csc ? (Answer must be in fraction form)

Mathematics

1 answer:

belka [17]2 years ago

6 0

Answer:

csc x = $\frac{5}{2}$

Step-by-step explanation:

using the identity

csc x = $\frac{1}{sinx}$

then

csc x = $\frac{1}{\frac{2}{5} }$ = $\frac{5}{2}$

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Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o

photoshop1234 [79]

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read "if p then q"

Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that

$|AB|^2=|BC|^2+|AC|^2$ .

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that $|AB|^2=|BC|^2+|AC|^2$

This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,

the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that $|AB|^2=|BC|^2+|AC|^2$
then Triangle ABC is a right triangle with m(C)=90°

True

Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that $|AB|^2=|BC|^2+|AC|^2$

True

Contrapositive statement:

if The sides of triangle ABC are not such that $|AB|^2=|BC|^2+|AC|^2$ then Triangle ABC is not a right triangle with m(C)=90°

True

4 0

3 years ago

The number of text messages sent daily by a student is a poisson random variable with parameter λ=5 .in a class with 20 independ

Rudik [331]

This problem is a combination of the Poisson distribution and binomial distribution.

First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961

For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181

7 0

3 years ago

What is the image of (-4,-2) after a reflecton over the line y= -x

Slav-nsk [51]

The image of (-4, -2) after a reflection over the line y = -x is (2, -4).

<h3>What is a transformation?</h3>

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.

<h3>The types of transformation.</h3>

Generally, there are different types of transformation and these include the following:

Reflection
Rotation
Translation
Dilation

<h3>What is a reflection?</h3>

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:

(-4, 2) → (2, -4).

Read more on transformation here: brainly.com/question/1548871

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7 0

1 year ago

Solve multi-step equations iready<br> -5m=3<br> m=?

gayaneshka [121]

Answer:

m = -3/5

Step-by-step explanation:

-5m = 3

Divide each side by -5

-5m/-5 = 3/-5

m = -3/5

7 0

2 years ago

What is the area of the kitchen floor in this floor plan?

slava [35]

First you would figure out the dimensions, which are 7 ft by 5 ft. Then, multiply those together, which equals 35 sq ft. The answer to your question is C - 35 sq ft. Hope this helps!

8 0

2 years ago

Read 2 more answers