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Leto [7]
3 years ago
5

Solve for x in the triangle. Round your answer to the nearest tenth. 240 10

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

\tan(24 \degree)  =  \frac{x}{10}  \\ x = 10 \times  \tan(24 \degree)  \\ x = 4.5

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Ashok and Brian are both walking east along the same path; Ashok walks at a faster constant speed than does Brian. If Brian star
astraxan [27]

Answer:

60 miles

Step-by-step explanation:

Ashok and Brian are both walking east along the same path; Ashok walks at a faster constant speed than does Brian. If Brian starts 30 miles east of Ashok and both begin walking at the same time, how many miles will Brian walk before Ashok catches up with him?

Statement 1. Brian’s walking speed is twice the difference between Ashok’s walking speed and his own

Statement 2. If Ashok’s walking speed were five times as great, it would be three times the sum of his and Brian’s actual walking speeds

Solution

A. Brian’s walking speed is twice the difference between Ashok’s walking speed and his own.

Let Brian speed=b

Ashok speed=a

Brian's walking speed=2(a-b)

b=2(a-b)

Divide both sides by 2

b/2=a-b

Ashok catches up in (time)= distance /( relative rate

=30/(a-b)

=30/(b/2)

=30÷b/2

=30*2/b

=60/b.

By that time Brian will cover a distance of

distance=rate*time

=b*60/b

=2(a-b)*60/2(a-b)

=60 miles

(2) If Ashok’s walking speed were five times as great, it would be three times the sum of his and Brian’s actual walking speeds.

5a=3(a+b)

5a=3a+3b

5a-3a=3b

2a=3b

4 0
3 years ago
Determine all real numbers a$ such that the inequality $ |x^2 2ax 3a|\le2$ has exactly one solution in x$.
vovikov84 [41]

Answer:

x=-1, S=\{x\:\in\mathbb{R}:x=-1\}

Step-by-step explanation:

For the sake of clarity, assuming you meant:

|x^{2}+2x+3|\le2

1) Absolute Value or Modulus functions has one property that assures us that:

If |a|

2) Solving for x

I) x^{2}+2x+3\geqslant -2\Rightarrow x^{2}+2x+5\geqslant 0 \Rightarrow x\geqslant \frac{-2\pm \sqrt{2^{2}-4*1*5}}{2} x'\geqslant \frac{-2+4i }{2} \:and\:x''\geqslant \frac{-2-4i }{2}

Not defined in Real Set of Numbers

Evaluating x^{2}+2x+3\leqslant 2:

x^{2}+2x+3\leqslant 2\\x^{2}+2x+1\leqslant 0\\(x+1)(x+1)\leqslant 0 \Rightarrow S=\{-1\}

3) So, since for the first case the Discriminant Δ <0, then the solutions presented for x^{2}+2x+3\geqslant -2\: \in \mathbb{C}. The only solution in the Real Set for the inequality |x^{2}+2x+3|\le2 is S=\{-1\}, i.e. x=-1.

8 0
3 years ago
What is 1/3 of 48 in numbers
fiasKO [112]

Answer:

16

Step-by-step explanation:

Multiply it by 1/3 and it equals 16

8 0
3 years ago
Read 2 more answers
Y is 1 1/3 times x.
ValentinkaMS [17]

Answer:

B. 4:3

Step-by-step explanation:

Note: I use the '&' mark to symbolize mixed fractions, since it's easy to mistake the whole number for part of the numerator. Don't do this for assignments, as it's not proper.

1 & 1/3 = 4/3

Thus, the answer is B. 4:3.

4 0
3 years ago
Geometry please help thank you
pickupchik [31]

Answer:

both students are technically correct

Step-by-step explanation:

when the figure is reflected its other half mirrors it which means that all sides and angles are the same.

6 0
3 years ago
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