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NNADVOKAT [17]
3 years ago
8

Find the missing measurements of the right triangle. Round your answers to the

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

m∠B = 63°

AB = 26.4

AC = 23.6

Step-by-step explanation:

m∠B = 90 - 27 = 63°

Sin 27 = 12/AB

AB (sin 27) = 12

AB = 12/sin 27 = 26.4

Tan 27 = 12/AC

AC (tan 27) = 12

AC = 12/tan 27 = 23.6

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I need help plssss! Help me quick i need the answer plss and thank you!
harkovskaia [24]

Answer:

40%

Step-by-step explanation:

So, there are 60 students for B. So, what I did was add all the students to get 150. Then I divided 60 by 150 (60/150) to get 0.4. 0.4 * 100 is 40 which is the percent. Hope this helps.

7 0
3 years ago
Prove the following limit. lim x → 5 3x − 8 = 7 SOLUTION 1. Preliminary analysis of the problem (guessing a value for δ). Let ε
Temka [501]

\displaystyle\lim_{x\to5}3x-8=7

means to say that for any given \varepsilon>0, we can find \delta such that anytime |x-5| (i.e. the whenever x is "close enough" to 5), we can guarantee that |(3x-8)-7| (i.e. the value of 3x-8 is "close enough" to the limit value).

What we want to end up with is

|(3x-8)-7|=|3x-15|=3|x-5|

Dividing both sides by 3 gives

|x-5|

which suggests \delta=\dfrac\varepsilon3 is a sufficient threshold.

The proof itself is essentially the reverse of this analysis: Let \varepsilon>0 be given. Then if

|x-5|

and so the limit is 7. QED

8 0
3 years ago
Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.
Umnica [9.8K]

Answer:

<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>

Step-by-step explanation:

• General quadratic equation:

{ \rm{ {x}^{2}  - (sum \: of \: roots)x + (product \: of \: roots) }}

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

{ \boxed{ \rm{4 {x}^{2}  - 9x + 20 }}}

3 0
3 years ago
50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did
igomit [66]

Answer:

90%

Step-by-step explanation:

50 x 2 is 100

40 x 2 is 80

5 x 2 is 10

80 +10 = 90

6 0
3 years ago
Read 2 more answers
The measure of angle 4 is 45. If angle 4 is congruent to angle 1, what is the measure of angle 5?
mr_godi [17]
The answer is A) 45°. This is because angles 1 and 5 are vertical angles. Vertical angles are congruent.
8 0
3 years ago
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