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yarga [219]
3 years ago
8

60° 8 30° х Determine the value of x.

Mathematics
1 answer:
lana [24]3 years ago
8 0

Answer:

4 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x / 8

8 sin 60 = x

8 ( sqrt(3)/2) = x

4 sqrt(3) =x

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Show your work on the question
AysviL [449]

Answer:

OPTION A: 3x - 1 = ± 5

Step-by-step explanation:

We have (3x - 1)² = 25

In OPTION A, Square root is taken on both sides.

This gives us: 3x - 1 = ± 5. And this is the logical follow - up of the previous step.

IN OPTION B: (a - b)² is wrongly expanded. So, this can not be the next step.

In OPTION C: The square root is taken only on the LHS but not on the RHS. So, it is eliminated.

In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.

Therefore, the correct option is A.

6 0
3 years ago
Triangle ABC has vertices A(1,4), B(−2,4) , and C(−1,−1) . A dilation with a scale factor of 0.25 and center at the origin is ap
kati45 [8]
<span>Your answer is -0.5 hope it helps:)
Also, I changed my pfp so know it's not team 10 no more</span>
8 0
3 years ago
Read 2 more answers
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ
Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

6 0
3 years ago
Write an algebraic expression for the word phrase. five fewer than d days d – 5 5 + d 5 – d d + 5
Troyanec [42]

Answer:

(d-5)

Step-by-step explanation:

we know that

The phrase"five fewer than d days" is equal to subtract 5 from the number d

so

d minus 5-----> (d-5)

7 0
3 years ago
Read 2 more answers
Which statement best describes the polynomial
Stels [109]

Answer:

B

Step-by-step explanation:

Standard form is written according to the highest exponent on the variable to the lowest. This expression has exponents that descend from 8 to 7 and to 1. B is the correct solution.

6 0
3 years ago
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