Pls answer these two questions

Step-by-step explanation:

2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :

1. support post (14ft), post to back (b), the long roof line

2. front to post (f), support post (14ft), dotted line

so, because the multiplication factor is the same for the sides, the ratio

"support post" / f

must be the same as

b / "support post"

14 / f = b / 14

b = 14²/f = 196/f

and then we know that

f + b = 53

by putting the first into the second equation we get

f + 196/f = 53

f² + 196 = 53f

f² - 53f + 196 = 0

the solution of such a quadratic equation in general is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = f

a = 1

b = -53

c = 196

f = (53 ± sqrt(53² - 4×1×196))/(2×1) =

= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =

= (53 ± 45)/2

f1 = (53 + 45)/2 = 98/2 = 49

f2 = (53 - 45)/2 = 8/2 = 4

as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.

therefore, the support post is positioned 4ft from the front of the house.

Answer:

The last three are all functions.

The first one is not because by defenition of function, an x value cannot have two y values.

The second one is because a function f(x) is the same thing as y

The third one is because x value does not repeat, and that is all that matters.

The fourth one is a function too since x values do not have two y values

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]

[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]

Therefore;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]

Which gives;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]

[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]

The number of bottles of apple juice sold, J ≈ 77,579 bottles

Learn more about simultaneous equations here:

https://brainly.com/question/10724274

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

Answer:

She had 38!

Step-by-step explanation:

28-9 is 19 then just multiply that by two which is 38

Answer:

38

Step-by-step explanation:

28-9=19 19+19=3

subtract 9 from 28 then you get 19 then you add 19 to 19 and you get 38

Answer:

8 , 7 , 6 , 5 , 4 , 3

Step-by-step explanation:

Insert your x into the equation, then simplify for y.

Answer:          

8.8 x 10 to the 9th power

Step-by-step explanation:

Answer:

By 100 times.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

5x10^6= 5000000  

5x10^4= 50000  

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)

Answer:

1500

Step-by-step explanation:

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

Answer: 0.0016

Step-by-step explanation:

5^3 = 125

5^-7 = 0.0000128

125 * 0.0000128 = 0.0016

[tex] \: \: \: \: \: [/tex]

first add

(3a²-5a+5)+(a³-5a²+8)

=3a²-5a+5+a³-5a²+8

=a³-2a3a²-5a²+5+8

=a³-2a²+13

and now,

substract a³-2a²+13 from a²-4a²-9

=7a²-4a²-9-(a³+13)

=7a²-4a²-9-a³+2a²-13

= a³+7a²-4a²+2a²-9-13

=-a³+5a²-22

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

Answer:

4 minutes

Step-by-step explanation:

Put it into an equation

20000 = 1250x + 15000

Subtract 15000 from both sides

5000 = 1250x

Divide both sides by 1250

4 = x

[tex]\huge\bold\green{ANSWER}[/tex]

The inverse trig ratios, you can find the angle measure, given two sides.

Inverse Tangent: If you know the opposite side and adjacent side of an angle in a right triangle, you can use inverse tangent to find the measure of the angle.

Answer:

5

Step-by-step explanation:

Answer:

decreased

Step-by-step explanation:

If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]

Answer:

50% of 60 is 30

Step-by-step explanation:

Answer:

12, 63 and 21 sum to 96

.....

Answer:

16.8

Step-by-step explanation:

Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator

Step-by-step explanation:

53 + 28 =81

7-1=6

81:6

÷3 both side

27:2

Lowest form is 27:2

Answer:

$4, 116.66 times 35%=1,440.83 is the answer.

Step by step equation:

The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)

all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83

Answer:

20

Step-by-step explanation:

88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.

22 - 2 = 20

Answer:

3x + 14

Step-by-step explanation:

Just add them together.

2x + 5 + x + 9

= 3x + 14