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Romashka-Z-Leto [24]
3 years ago
15

Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .

Mathematics
1 answer:
fiasKO [112]3 years ago
6 0

Answer:

a=5.81

Step-by-step explanation:

We want to solve for the value of a in the expression:

\frac{sin 45}{a}=\frac{sin 77}{8}

Cross Multiply

8 X sin 45=a X sin 77

Divide both sides by sin 77° to obtain a.

a=\frac{8 X sin 45}{sin 77}

a=5.81

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Is A ABC similar to DEF? Why or why not?
vova2212 [387]

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

6 0
3 years ago
Read 2 more answers
Expand &amp; simplify <br> (2x+6)(x−9)
Alex777 [14]

Answer:

2x^2-12x-54

Step-by-step explanation:

First 2x times x along with 2x times -9

Second 6 times x  along with 6 times -9

2x^2-18x+6x-54

=2x^2-12x-54

8 0
2 years ago
54 ÷ 6 x (12-4) + 2 =​
Aleksandr-060686 [28]

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

5 0
3 years ago
Read 2 more answers
a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade
12345 [234]

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})

P(at least 1 dull blade)=1-0.2931

P(at least 1 dull blade)=0.7068

6 0
3 years ago
Estimate the following sum by rounding each number to the nearest 10<br>plz​
Harlamova29_29 [7]

Answer:

184

Step-by-step explanation:

129.5 + 34.62 + 19.1

130 + 35 + 19

184

7 0
2 years ago
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