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ohaa [14]
3 years ago
8

Mhanifa please help. Find x

Mathematics
2 answers:
gtnhenbr [62]3 years ago
7 0

Answer:

#1

  • 4/x = tan 41°
  • x = 4 / tan 41°
  • x = 4.6

#2

  • x / 3 = cos 47°
  • x = 3 cos 47°
  • x = 2
frozen [14]3 years ago
4 0

Answer:

For the first

Since the angles in a triangle sum up to 180.

We already have angleA 41° and angleC 90°

To get the remaining angle B 180-(41+90)=49°

Now

We apply sine rule to solve

Divide each term you pick by the Sine of the angle directly opposite it.

So We have

4/Sin41° = X/Sin49

Making X subject..

X= 4Sin49/Sin41

X=4.601

To the nearest tenth

X= 4.6.

For the second question

Applying the same concept

Angle B = 180-(90 + 47) = 43°

Applying Sine Rule

X/Sin43 = 3/Sin90

Making x subject

X= 3Sin43/Sin90

X=2.04

To the nearest Tenth

X=2.0

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Answer:

Option B: x > 0

Step-by-step explanation:

Option A is wrong because \sqrt{3(0)}will be 0. So, the inequality can't be divided by 0.

Option C is wrong because 1 will suffice this inequality. \sqrt{7}/\sqrt{3}=1.5 (approx)

Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).

Leaving us with only option B, which is the right answer.

7 0
3 years ago
If s(x) = 2x2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) =
Nookie1986 [14]
You simply multiply the two and distribute to solve. I am starting with t(x) because I think it is easier.

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8 0
3 years ago
Read 2 more answers
The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win
andrew11 [14]

The number of races the team need to win today for the team to have a 75% success rate is 15

Number of attempt = 45

Number of winnings = 30

Percentage won so far = 30/45 × 100

= 66.67%

let

x = Number of races that tfe team needs to win to have 75% success rate

(30 + x) / (45 + x) = 0.75

Cross product

30 + x = 0.75(45 + x)

30 + x = 33.75 + 0.75x

x - 0.75x = 33.75 - 30

0.25x = 3.75

x = 3.75 / 0.25

x = 15

Therefore, the number of races the team need to win today for the team to have a 75% success rate is 15

Learn more about percentage:

brainly.com/question/7225231

7 0
2 years ago
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin
myrzilka [38]

Answer:

c = (y-0.13y)(1.08)

Step-by-step explanation:

c = cost and y = the original price

The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.

Hope this helped!

5 0
3 years ago
36 first-graders and 14 other students attended a school assembly. What percentage of the students at the assembly were first-gr
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Answer: 18%

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