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2 years ago

. If Triangle ABC is equilateral, solve for X... * 7 (8x - 44)

Mathematics

2 answers:

Tasya [4]2 years ago

5 0

If triangle ABC is equilateral,solve for X56x-308

ki77a [65]2 years ago

5 0

Answer:

x=13

Step-by-step explanation: (8x-44)+(8x-44)+(8x-44)=180

24x-132=180

24x=312

312/24

x=13

Showing Proof

8(13)-44=60

60+60+60=180

Therefore the answer is x=13

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After riding her bike for 20 miles. Angela got off and walked her bike the rest of the way at 5 miles per hour. If the total tri

mylen [45]

Answer:

She rode her bike 20 miles... I believe this may be a trick question.

Step-by-step explanation:

Let's break down this problem...

If she is going at a rate of 5 miles per hour while walking than the maximum she could have walked in 5 hours is 25 miles.

If Angela rode her bike for 20 miles, and the got off her bike and walked "<em>the rest of the way</em>" then she should have walked 50 miles. However as we already know her rate is 5 miles per hour while walking, and therefore could only have covered half that distance in 5 hours.

Is this a multiple choice question? Is there any misssing informaation?

7 0

2 years ago

What is log6^e f rewritten using the power property?

marishachu [46]

Given expression : $log_6e^f .$ .

We need to apply power property of logs to rewrite it.

According to log rule of exponents:

$log_b a^n = n log_b(a)$

If we compare given expression with the rule the exponent part is f, base is 6.

Therefore, we need to bring exponent f in front of log.

Therefore, $log_6e^f = flog_6 e$ .

<h3>And correct option is second option $flog_6 e.$ </h3>

4 0

2 years ago

Read 2 more answers

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk

Tcecarenko [31]

Answer:

T(x) = (√(4+x^2))/2 +(c -x)/4
(a) x = 1.155 miles
(b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

time = distance / speed

t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

t2 = (c -x)/4

Then the total time is ...

T(x) = t1 +t2

T(x) = √(4+x²)/2 +(c -x)/4

(a) The value of x that minimizes total time is the one that makes the derivative zero.

T'(x) = x/(2√(4+x²)) -1/4

0 = (2x -√(4+x²))/(4√(4+x²))

√(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

4 +x² = 4x² . . . . . . square both sides

4/3 = x² . . . . . . . . . subtract x², divide by 3

x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

8 0

2 years ago

You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man

Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials $=\frac{3}{7}$

and probability of my friend's winning is $=1-\frac{3}{7}=\frac{4}{7}$

Let there be n numbers of trials.

Therefore, my score after n trials $=\frac{3n}{7}$

and my friend's score after n trials $=\frac{4n}{7}$

Now, the number of trials my friend won more than me is

$\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}$

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

$\frac{n}{7}=5\\n=7\times5=35$

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win $\frac{3\times 35}{7}=15$ trials

and my friend will win $\frac{4\times 35}{7}=20$ trials.

Hence, my friend won 5 more trials than me.

3 0

2 years ago

Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number

Dmitry [639]

Answer:

Part a) $2,50,18$

Part b) When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For $x=2$

$\sqrt{2}*\sqrt{2}=\sqrt{4}=2$ -----> the product is an integer

The number $x=2$ could be Jenny favorite positive integer

2) For $x=50$

$\sqrt{50}*\sqrt{2}=\sqrt{100}=10$ -----> the product is an integer

The number $x=50$ could be Jenny favorite positive integer

3) For $x=18$

$\sqrt{18}*\sqrt{2}=\sqrt{36}=6$ -----> the product is an integer

The number $x=18$ could be Jenny favorite positive integer

Part B)

1) For $x=2$

$\sqrt{2}/\sqrt{2}=\sqrt{1}=1$ -----> the result is an integer

2) For $x=50$

$\sqrt{50}/\sqrt{2}=\sqrt{25}=5$ -----> the result is an integer

3) For $x=18$

$\sqrt{18}/\sqrt{2}=\sqrt{9}=3$ -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

4 0

2 years ago