In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of ​ triangle ABD ​ at vertex A. BC=4.2 in. and CD=9.6 in..

What is the length of AC¯¯¯¯¯?

Answer: about 6 feet

Step-by-step explanation:

3^2+5.2^2=36.4

Square root of 36 is 6

Answer:

missing value is 5

Step-by-step explanation:

Change them to all have the same denominator

8/12 + 3x/12 = 23/12

multiply all by 12

8 + 3x = 23

subtract 8

3x = 15

divide by 3

x = 5

Answer:

Number of adult tickets  = 298

Number of child tickets = 140

Step-by-step explanation:

Number of adult tickets  = a

Number of child tickets = c

a + c = 438      -------------------(I)

14a + 6c = 5012  ----------------(II)

Multiply equation (I) by (-6) and then add, so c will be eliminated.

(I) * (-6)           -6a - 6c = -2628

(II)                  14a + 6c =  5012   {Add}

                      8a       =  2384

                           a    = 2384/8

a = 298

Plugin a  = 298 in equation (I)

298 + c = 438

         c = 438 - 298

         c = 140

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions

Answer:

38 ft

Step-by-step explanation:

:)

Answer:

32ft

Step-by-step explanation:

Multiply 8 by 3 to get the area of the rectangle. Multiply 4 by 4 and then divide by two to get the area of the triangle.

Finally add them together to get 32ft

Answer:

50

Step-by-step explanation:

Let's drag the x line to the other side with the 14 and 48.

Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.

So then we get that x^2 is 2500

then we clearly know the square root of 2500 is 50

So 50 is our answer.

Answer:

x = 50in.

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]14^{2}[/tex] + [tex]48^{2}[/tex] = 2500

[tex]\sqrt{2500}[/tex] = 50

Answer:

-n+1

Step-by-step explanation:

h(n)-g(n) =n+2-2n-1 ,collect like terms

n-2n+2-1 = -n+1

Answer:

below

Step-by-step explanation:

improper fraction: 14/5

as a decimal: 2.8

proper fraction: 2 4/5

Answer:

f = -0.032

Step-by-step explanation:

I looked it up

Answer:

-0.032

Step-by-step explanation:

f/-3.2=0.01

f=-3.2×0.01 (cross multiplication)

f=-3.2×1/100

f=-0.032

Answer:

Sales tax: $4.75

Step-by-step explanation:

You multiply $95 by 5%

$95 × .05 = $4.75

Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

8p/$1.09 =

8÷$1.09  =

$7.34

Where did Milo make his first error?

Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

[tex]Pens = 8[/tex]

[tex]Cost = \$1.09[/tex]

Required

Determine Milo's error

First, we need to solve for the unit price; then compare our results with Milo's

[tex]Unit\ Price = \frac{Cost}{Pens}[/tex]

[tex]Unit\ Price = \frac{\$1.09}{8}[/tex]

[tex]Unit\ Price = \$0.13625[/tex]

Comparing the calculation with Milo's:

We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly

Answer:

4:3

4 being triangles and 3 being circle.

Essentially, for every 4 triangles there are 3 circles.

Let me know if you need more help, :)

The ratio of number of circles to the total number of shapes is 3 : 7

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of triangles be = A

Now , the value of A is 8

Let the total number of circles be = B

Now , the value of B is 6

So , the equation will be

The total number of shapes = total number of triangles + total number of circles

The total number of shapes = 8 + 6

The total number of shapes = 14 shapes

Now , the ratio of total number of circles to total number of shapes is =

total number of circles : total number of shapes

Ratio of total number of circles to total number of shapes = 6 : 14

On simplifying the ratio , we get

Ratio of total number of circles to total number of shapes = 3 : 7

Hence ,

The ratio of number of circles to the total number of shapes is 3 : 7

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

(2,7) x=2 y=7

Step-by-step explanation:

Answer:

131.25 miles

Step-by-step explanation:

if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.

Answer: 20 2/5

Step-by-step explanation: 60/100=x/34

100x/100=2040/100

x=102/5=20 2/5

Answer:

239 Feet

Step-by-step explanation:

Answer:

  Lighthouse 82.5 metres (271 ft)

Step-by-step explanation:

Answer:

[tex]the \: rational \: number \: is \: \sqrt{100} [/tex]

Step-by-step explanation:

The reason why

[tex] \sqrt{97} [/tex]

isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{98} [/tex]

isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{99} [/tex]

isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{100} [/tex]

is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).

Answer:

there is no picture

Step-by-step explanation:

Answer: Isaac will be able to drink 2920 glasses of water in a year if he drinks 8 glasses of water each day.

Step-by-step explanation:

365 • 8 = 2920

2920 ÷ 365 = 8

2920 ÷ 8 = 365

Answer:

Yes

Step-by-step explanation:

Without doing all the math ...

1. 8x5 is 40, so we know the answer ends in 0.

2. 8 x 300 is only 2400, but 8 x 60 is 480. Adding those together, we're already in the ballpark of 2900.

Answer:

They are all not a function

Step-by-step explanation:

a function can only have one output.

3 in this set has 3 outputs and 7 in this set has 3 outputs aswell

Answer:

umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The options:

A. The bases are parallel and congruent.

B. The segment from the top to the center of the base is perpendicular to the base.

C. All the faces are congruent pentagons.

D. The base is a pentagon and the sides are triangles.

E. The base must be a regular polygon.

Answer:

2 and 4

Step-by-step explanation:

edge 2021

a: 27.324 (rounded to the nearest cent is $27.32)

b: 18.0088% (rounded to the nearest percent is 18.01% or 18%)

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

[tex]S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}[/tex]

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

[tex]\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}[/tex]

It means Eathn sold 1/12 more lemonade.

Answer:

yeah it is a positive slope

Step-by-step explanation:

Answer:

No, they are not.

Step-by-step explanation: