A local high adventure park has a zip line that begins 46 feet in the air. The angle of elevation of the cable is 35º. Estimate the length of

the zip line cable. Round your answer to the nearest hundredth if necessary.

Answer:

x = 88

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

Supplementary meaning that the sum of the two angle measures is 180

The opposite angle of "x" is ∠B which has a measure of 92°

Thus, 92 + x = 180

180 - 92 = 88

Hence, x = 88  

Answer:

Each adult patient today taking dose of 13 mg.

Step-by-step explanation:

Given - Ysaac, a doctor on duty at a local clinic, leaves the Panadol dose (mg) to nurse Elisa for all hospital patients. The nurse asks him what is the Dose ?, and the doctor answers that the previous dose used in total for 10 adult patients was solving the equation x2 + 50x - 2400 = 0. If the current dose has decreased by 10 milligrams for each patient.

To find - How much should the dose be for each adult patient today?

Solution -

Given that, the equation is -

x² + 50x - 2400 = 0

⇒x² + 80x - 30x - 2400 = 0

⇒x(x + 80) - 30(x + 80) = 0

⇒(x - 30)(x + 80) = 0

⇒x = 30, -80

But dose can not be negative

So, x = 30

∴ we get

The previous dose is 30 that is given to 10 patients

So,

1 patient is taking 3 mg previous dose

Now,

Given that,

If the current dose has decreased by 10 milligrams for each patient.

So,

The current dose = 3 mg + 10 mg

                             = 13 mg

⇒The current dose = 13 mg

∴ we get

Each adult patient today taking dose of 13 mg.

Answer:

Step-by-step explanation:

Step 1: Divide both sides by 6.

[tex]\frac{6x^2}{6}[/tex]   =   [tex]\frac{294}{6}[/tex]

[tex]x^{2}[/tex] = 49

Step 2: Take the square root.

x = [tex]\sqrt{49}[/tex]

x=7 (because 7×7=49

Answer:

[tex]20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} [/tex]

Answer:

a, b, and c are represented by the graph.

Step-by-step explanation:

i hope this helps :)

Answer:

A. [tex]Log_p N = b \ and \ b^p = N[/tex]

Step-by-step explanation:

A. The given options are;

[tex]Log_p N = b \ and \ b^p = N[/tex]

For [tex]Log_p N = b[/tex] we have;

[tex]p^b = N[/tex]

However;

[tex]b^p = N[/tex]

Where, p ≠ b

[tex]p^b \neq b^p[/tex]

Therefore;

N ≠ N for the given pair and the pair are therefore, not equivalent

B. x = √y and [tex]x = y^{1/2}[/tex]

We note that

x = √y = [tex]y^{1/2}[/tex]

We have;

x = [tex]y^{1/2}[/tex], by transitive property

Therefore, the pair, x = √y and [tex]x = y^{1/2}[/tex] are equivalent

C. [tex]Log_b N = p \ and \ b^p = N[/tex]

From [tex]Log_b N = p[/tex], we have;

[tex]b^p = N[/tex]

Therefore, [tex]Log_b N = p \ and \ b^p = N[/tex] are equivalent pairs as [tex]b^p = N[/tex] can be obtained from [tex]Log_b N = p[/tex]

D. ㏑x = y and x = [tex]e^y[/tex]

[tex]ln \ x = ln_e \ x = y[/tex], therefore, by rules of logarithm, we have;

x = [tex]e^y[/tex]

Therefore, ㏑x = y and x = [tex]e^y[/tex] are equivalent pairs, as x = [tex]e^y[/tex] can be obtained from ln x.

Therefore;

The option which are not equivalent pair is option is [tex]Log_p N = b \ and \ b^p = N[/tex]

Answer:

do you have a picture so I can see it?

Answer:

subject?

Step-by-step explanation:

Answer:

[tex]B. 4x^2+76=32[/tex]

Step-by-step explanation:

[tex]In ~ option~ B[/tex]

[tex]4x^2+76=32\\[/tex]

[tex]4x^2=-76+32[/tex]

[tex]4x^2=-44[/tex]

[tex]x^2=-44/4=-11[/tex]

[tex]x^2=-11[/tex]

A square of any real number can't be a negative integer.

So, Option B is your answer

[tex]--------------[/tex]

hope it helps..

have a great day!!

Answer:

Top consumer that receives its energy from other consumers

Step-by-step explanation:

It eats other fish like the bass and sunfish

Answer: y = 1/2x + 4

Step-by-step explanation:

Answer:

D) Reflection across a horizontal line

Answer:

d

Step-by-step explanation:

Answer:

(x - 1)^2 + (y + 1)^2 = 25

Step-by-step explanation:

The equation of a circle centered in the point (a, b) with a radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we translate the circle 3 units to the right and 2 units down, then we translate the center 3 units to the right and 2 units down.

So if the original center was (a, b), and we translate it 3 units to the right, then we need to add 3 to the x-component, we get:

(a + 3, b)

Now if we want to move the center two units down, we need to subtract 2 in the y-value, we get:

(a + 3, b - 2)

This will be the new center of the circle.

Now let's look at our circle, we have:

(x + 2)^2 + (y - 1)^2 = 25

The center of this circle is:

(-2, 1)

After the translation, the center will be:

(-2 + 3, 1 - 2)

(1, -1)

Then the equation for the translated circle is:

(x - 1)^2 + (y - (- 1))^2 = 25

(x - 1)^2 + (y + 1)^2 = 25

Answer:

week 4

i need to add 20 more characters to submit this answer but yes the answer is week 4

Answer:

$16.25

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

the rectangles length is 1 because 2^0 = 1

the width is 8 because 2^3 which is also 2 x 2 x 2 = 8

to find the area it would be length times width.

1 x 8 = 8

Final answer: 8 square meters

Answer:

∠1 = 52

∠2 = 128

∠4 = 128

Step-by-step explanation:

∠3 and ∠1 are vertical angles

As we now vertical angles are congruent

So if ∠3 = 52°, then ∠1 also equals 52°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠3 + ∠4 = 180

If ∠3 = 52°

Then 52 + ∠4 = 180

180 - 52 = 128

Hence, ∠4 = 128

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

So if ∠4 = 128 then ∠2 also equals 128

Answer:

15wy

Step-by-step explanation:

if toh take 19 and divide it by 16 that's how I got my answer on edunity

Step-by-step explanation:

your mom gives you 200 dollars to start your candy business. you earn 2 cents for every piece of candy you sell. how much money, b will you have if you've sold x candy

or

the product of .02 and x plus 200 equals b.

Answer:

b is equal to 200 plus the product of 0.02 and x.

Answer:

4/23

Step-by-step explanation:

Probability of choosing a red marble = # of red marbles / total # of marbles

We are told that there are 4 red marbles and 19 blue marbles

So the # of red marbles = 4

And the total # of marbles = 4 + 19

4 + 19 = 23

So there are a total of 23 marbles

Recall that probability of choosing a red marble is equal to # of red marbles / total # of marbles

Hence, the probability of choosing a red marble is 4/23

Note: 4/23 is already in it's simplest form so no simplifying has to be done.

Answer:

14/33

Step-by-step explanation:

There are 14 red marbles and 19 blue marbles, meaning that there are 33 marbles in all:

14 + 19 = 33

You are randomly choosing a red marble out of the total amount of marbles. 14/33

Note that you cannot simplify the fraction anymore, and so 14/33 is your answer.

~

Answer:

26

Step-by-step explanation:

The radical must be evaluated first.  The cube root of 27 is 3.  Then we have:

7(3) + 5 = 21 + 5 = 26

Answer:

123.95-25=107.95    $150.00-35%=150.0

Step-by-step explanation:

Answer:

Speed of 5th car = 187 mph

Step-by-step explanation:

Given:

Mean speed of five car = 175 mph

Speed of four cars = 186,181,170,151 mph

Find:

Speed of 5th car

Computation:

Average mean = Sum of all observation / Number of observation

Mean speed of five car = Sum of five cars speed / Number of cars

175 = [186 + 181 + 170 + 151 + Speed of 5th car] / 5

186 + 181 + 170 + 151 + Speed of 5th car = 175 x 5

186 + 181 + 170 + 151 + Speed of 5th car = 875

688 + Speed of 5th car = 875

Speed of 5th car = 875 - 688

Speed of 5th car = 187 mph

Answer:

Area  =  40mm

Example:

The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.

Example Problem :

Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?

Solution :

The given values

bottom length a = 15 cm

top length b = 12 cm

height h = 10 cm

Step by step calculation

formula to find area = ((a + b)/2) h

substitute the values

= ((15 + 12)/2) x 9

= 121.5 cm2

Answer:

g

Step-by-step explanation:

Answer:

velocity

Step-by-step explanation: