One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer:

10 days

Step-by-step explanation:

Mogaka and Ondiso working together can do a piece of job in 6 days. Mogaka working alone takes 5 days longer than Ondiso. How many days does it take Ondiso to do the work alone?

Let us represent :

The number of days

Mogaka worked alone = x

Ondiso worked alone = y

Total days worked together = T

Mogaka and Ondiso working together can do a piece of job in 6 days.

Hence,

1/x + 1/y = 1/T

Mogaka working alone takes 5 days longer than Ondiso.

x = y + 5

Therefore:

1/y + 5 + 1/y = 1/6

Multiply all through by (y+5)(y)

= y + y + 5 = (y+5)(y)/6

= 2y + 5/1 = (y+5)(y)/6

Cross Multiply

6( 2y + 5) = (y+5)(y)

12y + 30 = y² + 5y

= y² + 5y - 12y - 30 = 0

= y² - 7y - 30 = 0

Factorise

= y² +3y - 10y - 30 = 0

y(y + 3) - 10(y + 3) = 0

(y + 3)(y -10)= 0

y + 3 = 0, y = -3

y - 10 = 0

y = 10 days

Note that

The number of days Ondiso worked alone = y

Hence, it takes 10 days for Ondiso to work alone

Answer:

Step-by-step explanation:

Sum of the interior angles of a regular polygon:

Pentagon has sum of angles:

Sum the given angles and find x:

Hexagon has sum of angles:

Sum the given angles and find x:

Answer:

$535

Step-by-step explanation:

First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.

Answer:

A, The probability that it will rain is 0.09 and the probability that the flight will be delayed is 0.18.

Step-by-step explanation:

Answer: 0.154

Step-by-step explanation:

Answer:

X = 23

Step-by-step explanation:

oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.

90-21 = 69

69  / 3 = 23

x = 23

Answer:

23

Step-by-step explanation:

The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23

Answer:

y = -0.25x + 40 ; $26,000

Step-by-step explanation:

From the graph attached ;

The regression equation, y could be obtained :

y = mx + c

m = slope = Rise / Run = (y2 - y1) / (x2 - x1)

Slope = (15 - 40) / (100 - 0)

Slope = - 25 / 100

Slope = - 0.25

c = intercept, where the regression line crosses the y-axis, from. The graph, c = 40

The regression equation goes thus :

y = -0.25x + 40 ; y = price of car ; x = number of miles driven

Price of car that has been driven for 56000 miles

y = - 0.25(56) + 40

y = - 14 + 40

y = 26

Hence, price of car is $26,000

Correction in the Question:

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

Answer:

The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].

Step-by-step explanation:

we are given

length of the two bases = 128m and 92m

height of the trapezoid = 40m

the approximate figure of the given trapezoid is given as:

             __ __ __ 92 __ __ _

          /  |               |  |                 \

       /     | 40         |4|                    \

    /__ _| __ __     |  |__ __ __ __ \

                           128

Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.

Area = [(92 + 128)/2] * 40

        = [220/2] * 40  

        = 110 * 40

        = 4400 [tex]m^2[/tex]

Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.  

Area of a rectangle = length * width

Area = 40 * 4

        = 160

Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is

4400 + (-160) = 4240 [tex]m^2[/tex].

Answer:

$8.75

Step-by-step explanation:

Cost price= $9.75

Selling price= $1.00

profit= C.P-.SP

= 9.75-1.00

= $8.75

Answer:

65

Step-by-step explanation:

all triangles angles equal 180°

180-72-43=65

Answer:

[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

Step-by-step explanation:

Given:

Score of 37 with 107 minutes on social media.

Score of 41 with 73 minutes on social media.

The two pieces of information above can be thought of as two points on a line. Since the quiz score is a function of the number of minutes on social medial, let the number of minutes on social media be x and the score be y. The given information gives us two ordered pairs: (107, 37) and (73, 41).

Now we need to write the equation of a line that passes through these two points.

The two-point form of the equation of a line is:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

We have [tex] x_1 = 107 [/tex], [tex] y_1 = 37 [/tex], [tex] x_2 = 73 [/tex], and [tex]y_2 = 41[/tex].

[tex] y - 37 = \dfrac{41 - 37}{73 - 107}(x - 107) [/tex]

[tex] y - 37 = \dfrac{4}{-34}(x - 107) [/tex]

[tex] y - 37 = -\dfrac{2}{17}(x - 107) [/tex]

[tex] 17y - 629 = -2x + 214 [/tex]

[tex] 17y = -2x + 843 [/tex]

[tex] y = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

10 and -6                                  

.....................................................

Answer:

18ft

Step-by-step explanation:

15+3=18

Answer:

nope, an integer must be a whole number, no fractions / decimals

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.

Answer: $20.25

Step-by-step explanation:

If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.

Hope this helps :)

Answer:

16

Step-by-step explanation:

60-44

The inequality is $40 + 4x < $60 and she has to spend 5 gigabytes to stay within her budget

Note that:  

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

The total amount Lily has to spend has to be less than $60

The total amount she can spend can be represented with this equation

Flat cost + variable cost < $60

Flat cost = $40

Variable cost = cost per gigabyte x gigabyte

$4 × x = $4x

$40 + 4x < $60

To solve for x, combine similar terms

$4x < $60 - $40

$4x < $20

x < 5

A similar question was solved here: https://brainly.com/question/24492243?referrer=searchResults

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

19.99 - 3.998(20%) = 15.992 which when rounded is 15.99

Answer:

230

Step-by-step explanation:230

Answer:

a and c

Step-by-step explanation:

Answer:

x=9 im pretty sure

Step-by-step explanation:

Answer:

-53

Step-by-step explanation:

Answer:

c. 60

Step-by-step explanation:

Given

[tex]n = 61[/tex] --- sample

[tex]\bar x = 23[/tex]

Required

Determine the degrees of freedom (df)

This is calculated as:

[tex]df = n - 1[/tex]

[tex]df = 61 - 1[/tex]

[tex]df = 60[/tex]

Answer:

its 62!

p-by-step explanation:

Answer:

62.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62

Answer:

maybe it meane 11/a

Step-by-step explanation:

Answer:

The bracket is the binomial.

The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]

Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]

The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.

The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):

There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:

[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]

So:

a = 2

Coefficient is 495

Answer:

Length is 138 ft, area is 412 ft

Step-by-step explanation:

The length is determined by the perimeter, so add both side of the perimeter together, and you have your length. Area is determined by perimeter + Length, to add both sides of perimeter and length and you get 412 ft.

Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

Answer:

X= 4.1

Step-by-step explanation:

Other answer wasn't rounded.

X= 4.1 cm