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3 years ago

What would the length be?

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

Answer:

EF = ~3.8

Step-by-step explanation:

Apply the sine theorem:

EF/sinD = DE/sinF

=> EF = DE*(sinD/sinF)

= 3*(sin75/sin50)

=3.78 = ~3.8

Hope this helps!

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Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 m

Nikolay [14]

For future reference, it would be easier to say 8 and a half miles. Just a tip for better understanding. Now I am pretty sure the answer would be the first one. You would take the total divided by the variable of each day to get the number of days

3 0

3 years ago

Read 2 more answers

Please answer this worth 10 points look in the image plz

Pachacha [2.7K]

1) It’s true because -5 is way smaller than 3. All the negatives are below the 0 and everything below the 0 is lower than everything above the 0.

2) false. it’s false because in order -5 isn’t even close to 3

3) false.. It’s false because when you have those 2 line that are covering the -5 that means it’s “transforming” into a positive number. So therefore it’s would be 5>3 that would make it true.

4) True. it’s true because like I said the to lines mean the absolute value of something. So it’s being switch to a positive number

Hope this helps :)

5 0

2 years ago

Read 2 more answers

Which real numbers are zeros of the function?

monitta

<h3>The roots are -1/2, 0, 2, and 3.</h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.

6 0

3 years ago

Help me to simplify; log_{5} 12.5+log_{5}10

liq [111]

Answer:

15.726

Step-by-step explanation:

log 5=0.698×12.5

=8.737

=0.698×10

=6.989

=8.737+6.989

=15.726

8 0

2 years ago

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave

USPshnik [31]

Answer:

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be $x.$

And the time Julio travel by walking be $y.$

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

$x+y=7$

$y=7-x\ \ \ .......(1)$

So, the distance travelled by bike:

Speed × time

$8\times x=8x$

And, the distance travelled by walking:

Speed × time

$7\times y=7y$

Now, the total distance travelled by Julio:

$8x+7y=52$

Substituting the value of $x$ from equation (1) we get:

$8x+7(7-x)=52$

$8x+49-7x=52\\\\x+49=52$

Subtracting both sides by 49 we get:

$x=3.$

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of $x$ :

$y=7-x\\\\y=7-3\\\\y=4\ hours.$

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0

3 years ago