The longer leg of a 30°-60°-90° triangle measures
[tex]8 \sqrt{3} [/tex]
inches. What is the length of the shorter leg?​

Answer: 9

Step-by-step explanation:

Here is the completed question.

Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?

Ratio of sugar and flour = 3:5

Since 15 parts of flour are used, the parts of sugar that should be used will be:

= 15 ÷ 5/3

= 15 × 3/5

= 3 × 3

= 9

Answer: (0,3) (1.5,0)

Step-by-step explanation:

The coordinates of the equation 16x + 8y = 24 are (0,3) and (1.5,0).

Answer:

sas

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

SAS

Answer:

2/15

Step-by-step explanation:

Answer:

15.13 cm

Step-by-step explanation:

We are given:

Lateral surface area of a right circular cone : πr√r² + h²

From the question, we know that:

Lateral surface area = 236.64cm²

Radius = 4.75cm

Height = ?

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)² - π ×4.75²]/π

h = √(2481.9275169 - 70.882184247)/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm

Answer:

42

Step-by-step explanation:

Just did it for HW

Answer:

How much it costs her to make it:

One-ink: 535.5

Two-ink: 352

Total: 887.5

Profits:

One-ink: 229.5

Two-ink: 176

Total: 405.5

Answer:

[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{24}{5}[/tex]

Step-by-step explanation:

Operations With Fractions

The division of the fractions \frac{a}{b} and \frac{c}{d} can be calculated by multiplying the first by the reciprocal of the second fraction:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}*\frac{d}{c}[/tex]

We are given the following division of fractions:

[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9}{-5}*\frac{8}{-3}[/tex]

Multiplying and simplifying:

[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9}{5}*\frac{8}{3}[/tex]

[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9*8}{5*3}[/tex]

Simplifying by 3:

[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{3*8}{5}[/tex]

[tex]\mathbf{\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{24}{5}}[/tex]

Answer: y=-25

Step-by-step explanation:

step 1: simplify both sides of the equation

y+9=−16

step 2: subract 9 from both sides

y+9−9=−16−9

y=−25

Answer:

[tex]4\sqrt{10}[/tex]

Step-by-step explanation:

Answer:

A. $105

Step-by-step explanation:

Given

total charge=  $700 per concert

solution

If Fredrick receives $175 of that money, the balance will be

 $700-$175= $525

The balance will be shared by the 5 members

Hence each of them will take

525/5=$105

Answer:

$105

I hope this helps

Answer:

The number of clay flower pots = x = 19

The number of ceramic flower pots = y = 16

Step-by-step explanation:

Let

The number of clay flower pots = x

The number of ceramic flower pots = y

Tara bought 35 flower pots

= x + y = 35

x = 35 - y

The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.

Hence:

2x + 7y = 150.... Equation 2

Substitute 35 - y for x in Equation 2

2 (35 - y) + 7y = 150

70 - 2y + 7y = 150

-2y + 7y = 150 - 70

5y = 80

y = 80/5

y = 16 flower pots

x = 35 - y

x = 35 - 16

x = 19 flower pots

The number of clay flower pots = x = 19

The number of ceramic flower pots = y = 16

Answer:

The number of clay flower pots = 19

The number of ceramic flower pots = 16

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.

(sorry this is so confusing but I hope it helped anyway)

9514 1404 393

Answer:

Step-by-step explanation:

1. A point on a graph is a maximum if there are no points on the graph that are higher.

A point on a graph is a minimum if there are no points on the graph that are lower.

Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.

Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)

__

2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}[/tex]

Answer:

8 hours

Step-by-step explanation:

Given that:

Money spent by Jacqueline to rent a bicycle = $33.50

Per hour charges for the bicycle for renting the bicycle = $4

Processing fee charged for renting the bicycle = $1.50

To find:

The number of hours, [tex]x[/tex] for which Jacqueline rented the bicycle.

Solution:

Charges for 1 hour = $4

Charges for [tex]x[/tex] hours = $[tex]4x[/tex]

Processing fee = $1.50

Total fee charged for renting the bicycle is nothing but the sum of processing fee and the charges for [tex]x[/tex] hours charged by the bike rental facility.

Total money spent = Processing Fee + Charges for [tex]x[/tex] hours

Total money spent = 1.50 + 4[tex]x[/tex] = 33.50

[tex]\Rightarrow 4x = 32\\\Rightarrow x = \bold{8\ hours}[/tex]

So, Jacqueline rented the bicycle for 8 hours.

Answer:

21+4r

Step-by-step explanation:

Combine like terms

(14+7)+(-9r+13r)

21+4r

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Answer:

(7 , - 0.5)

Step-by-step explanation:

(8 , -6) ;  (6, 5)

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\ =(\frac{8+6}{2},\frac{-6+5}{2})\\\\=(\frac{14}{2},\frac{-1}{2})\\\\=(7 , -0.5)[/tex]

Answer:

Move it two places to the right

Step-by-step explanation:

For example:

10/3.68=  2.717  

See attached snip

Step-by-step explanation:

hope this solution will help you

Answer:

the Profit for the month is $2,083.43

Step-by-step explanation:

The computation of the profit for the month is shown below:

Profit for the month is

= Monthly gross receipts - expenses

= $20,834.34 - $18,750.91

= $2,083.43

hence, the Profit for the month is $2,083.43

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

i dont see the diagram

Step-by-step explanation:

Answer:

shown in drawing attached

y=x-2

Step-by-step explanation:

Shift each point down by two. First plot y=x, then shift down by 2 for each point.

please give thanks :)

You have to subtract 2 from the y-coordinate to shift the graph of y = x down to 2 units.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

To shift the graph of y = x down 2 units, you can subtract 2 from the y-coordinate of each point on the graph.

This will be done by replacing y with y-2 in the equation, so the new equation would be y = x + (-2) which is y = x - 2

So the new equation for the graph will be y = x - 2

This will cause the graph to move down 2 units along the y-axis.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ2

Answer:

2/3 of 2 is 1.33

Step-by-step explanation:

this because 2/3 times 2 is 1.33

Answer:

4/3

Step-by-step explanation:

2/3 of 2 is basically multiplying 2/3*2/1.

Therefore it's (2*2)/(3*1) which is 4/3.

Answer:

cbdkkdfn

Step-by-step explanation:

bfnsowifnccvl

Answer:

Ok

Step-by-step explanation:

(15n+5n)+5

Answer:

The values of x are 0 and -4.5

Step-by-step explanation:

To find the inflection point, we simply find the second derivative

Mathematically, that will be calculated as follows

1st derivative

10x^4 + 60x^3

2nd derivative

40x^3 + 180x^2

Equate these values to zero

40x^3 + 180x^2 = 0

x^2(40x + 180) = 0

x^2 = 0

or 40x = -180

x = 0

or x = -180/40 = -4.5

Given :

The vertices of parallelogram ABCD are A(4,0,3), B(3,4,-2),C(-2,0,1).

To Find :

The coordinates of fourth vertices.

Solution :

We know, the vertices are ABCD .

Let, point D is (x,y,z) .

Also, diagonals of a parallelogram bisect each other.

Let, point of intersection of daigonal is O.

Coordinates of O are :

[tex]O_x = \dfrac{4+(-2)}{2}= 1\\\\O_y = \dfrac{0+0}{2 } = 0 \\\\O_z = \dfrac{3+1}{2}= 2[/tex]

O(1,0,2)

Value of point O through BD.

[tex]O_x = \dfrac{3+x}{2}\\\\x=-1\\\\O_y = \dfrac{4+y}{2}\\\\y = -4\\\\O_z= \dfrac{-2+z}{2}\\\\z = 6[/tex]

Therefore, the fourth vertices is D( -1,-4,6 ).

Answer:

x = 4

Step-by-step explanation:

x in (-oo:+oo)

(3/4)*x+2 = 5 // - 5

(3/4)*x-5+2 = 0

3/4*x-3 = 0 // + 3

3/4*x = 3 // : 3/4

x = 3/3/4

x = 4