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3 years ago

What is the length of the unknown side of this triangle?

Mathematics

2 answers:

pychu [463]3 years ago

6 0

Answer:

shoto its me deku!!!!!!

almond37 [142]3 years ago

4 0

Answer:

Step-by-step explanation:

first we know that it is a right angle and its 90 degrees.

now we add up the angles it has givin us.

17 plus 8 = 25

90 minus 25 = 65.

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The space shuttle releases a space telescope into orbit

sergey [27]

Answer: $68 m/s^{2}$

Step-by-step explanation:

The acceleration $a$ of the satellite can be calculated by the following equation:

$V_{f}=V_{o}+at$

Where:

$V_{f}=1700 m/s$ is the final speed of the satellite

$V_{o}=0$ is the initial speed of the satellite (it was "stationary" before the release)

$t=25 s$ is the time

Isolating $a$ :

$a=\frac{V_{f}}{t}$

$a=\frac{1700 m/s}{25 s}$

Finally:

$a=68 m/s^{2}$

4 0

3 years ago

1.) The following figures are congruent. What side corresponds to side CD?

cupoosta [38]

Answer:

C Side ZX

Because ZX is a reflection of CD

7 0

2 years ago

5. To get to the library from his house, Robert biked 6 kilometers due east and then

AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The two shorter segments are the two legs, and
The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

$\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}$ .

The length of the round-trip will equal to the sum of the length of the three segments: $\rm 6\;km + 8\;km + 10\;km = 24\;km$ .

5 0

3 years ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

5 0

2 years ago

One half of a watermelon is divided 6 peoples at a picnic

Eduardwww [97]

Answer:

Each person will get 1/6 of the half or 1/12 of the whole melon.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers