In rectangle ABCD the diagonals intersect each other at point O and m∠ABD=30°. Find BC if AC = 16 in....

p=paul's height

s=steve's height

t=theresa's height

p=s

1 and 1/2=3/2

1 and 1/3=4/3

p=-16+(3/2)t

s=-6+(4/3)t

p=s so

-16+(3/2)t=-6+(4/3)t

add 6 to both sides

-10+(3/2)t=(4/3)t

times both sides by 6 to clear fractions

-60+9t=8t

minus 9t both sides

-60=-t

times -1

60=t

t=60

theresa is 60 inches or 5ft

steve and paul are 84 inches or 7ft (wow!)

Answer:

x=16

Step-by-step explanation:

x+7=23

23-7=x

x=16

Answer:

0.16

Step-by-step explanation:

See the picture attached for reference.

As you see the best points are the green areas which covers 2 out of 5 zones.

Since it is same for both broken points, the probability of  this is:

Answer is 0.16

__♥__♥_____♥__♥___ Put This

_♥_____♥_♥_____♥__ Heart

_♥______♥______♥__ On Your

__♥_____/______♥__ Page If

___♥____\_____♥___ You Had

____♥___/___♥_____ Your Heart

______♥_\_♥_______ Broken

________♥_________…………….

Answer:

x = 30

(30, 0)

Step-by-step explanation:

The x-intercept is when the graph crosses the x-axis when y = 0. In that case, simply plug in 0 for y:

x + 6(0) = 30

x + 0 = 30

x = 30

Answer: (30,0)

Step-by-step explanation:

x-intercept can be found in the form x = my + b, where b is the x-intercept. Thus, simply turn x+6y=30 into x-6y+30, to find that the x-intercept is (30,0)

Hope it helps <3

Answer:

x^5

Step-by-step explanation:

x^2 . x^3

x^(2+3)

x^5

Answer:

54

Step-by-step explanation:

There are 108 roses, 81 lilies and 54 orchids.

The problem is asking that every basket contain the same number for that type of flower.

So if I put one of each flower in each basket, I will get 54 baskets at the most.

Sounds correct to you?

Answer:

144cm^3

Step-by-step explanation:

A=1/2bh = 1/2 (6)(8)

=24

v=A×H=(24)(6)

=144cm^3

Answer: 144 cm³

Step-by-step explanation:

The volume of a triangular prism can be found by multiplying the area of the base by the prism height.  Thus, first calculate the area of the triangle(1/2*bh): 24.  Then multiply 24*prism height(6) to get 144.

Answer:

The temperature at 5376 ft is approximately 63°F

The assumption made was that the temperature varies linearly with elevation

Step-by-step explanation:

The parameters given are;

Temperature at 6288 feet = 56°F = 286.5

Temperature at 2041 feet = 87°F = 303.71

We are to find the temperature at 5376 feet

Let the temperature be the y-coordinate value and the elevation be the x-coordinate value, to find the temperature, we have the temperature gradient given by the relation;

[tex]m = \dfrac{y_2-y_1}{x_2 - x_1} = \dfrac{303.71-286.5}{2041 - 6288}= -4.05 \times 10^{-3} \ K/ft[/tex]

The temperature at 5376 ft will be the temperature at 2041 added to the decrease in temperature from climbing to 5376 ft

The increase in elevation is 5376 - 2041 = 3335 ft

The decrease in temperature = 3335 ft × (-4.05 × 10⁻³) K/ft = -13 .5 K

The temperature at 5376 ft will then be 303.71 - 13.5 = 290.196 K = 62.68°F ≈ 63°F

The assumption made was that the decrease in temperature with elevation is linear.

Answer: The missing side is 5 units.

Step-by-step explanation:

Pythagorean Theorem states that a^2+b^2=c^2.  Let the hypotenuse be x.

[tex]4^2+3^2=x^2\\16+9=x^2\\25=x^2\\\sqrt{25}=\sqrt{x^2}\\\left[\begin{array}{c}x=5\end{array}\right][/tex]

Hope it helps <3

Answer:

The number of possible outfits Dustin can wear is 73 outfits

Step-by-step explanation:

The information given are;

The number of hats Dustin has = 5

The number of shirts Dustin has = 5

The number of pants Dustin has = 5

The number of shoes Dustin has = 5

The colors of Dustin's clothing are blue, green, gray, silver, and gold

Given that the shoes go with at least two other clothing of the same color, we have;

The number of ways the color of the shoes can be selected = 5 ways

The number of ways of selecting the same color for 2 of the remaining 3 clothing = 3 ways

The number of ways of selecting the color of the fourth clothing = 5 ways

The total number of ways = 5 × 3 × 5 = 75 ways

The number of ways in which all silver can be selected = 1 way

The number of ways in which all gold can be selected = 1 way

Since Dustin refuses to wear all silver and all gold, the total number  of ways the outfits can be selected = 75 - 1 - 1 = 73 ways = 73 is the number of possible outfits

Therefore, the number of possible outfits Dustin can wear = 73 outfits.

Answer:

1.1460277. Put in your decimal place given to you.

This is the percentage rate.

Step-by-step explanation:

f(x)=0=60100

55=120150

60100=a*b^0

120150/60100=60100/60100*b^5

b^5^(1/5)=5square root(120150/60100)=1.14860277

Answer:

(x+1)(x-4)(x-2)

Step-by-step explanation:

Answer:

-5,-8,-11,-14,-17

Step-by-step explanation:

-3n -2

n=1   -3(1) -2 = -3-2 = -5

n=2   -3(2) -2 = -6-2 = -8

n=3   -3(3) -2 = -9-2 = -11

n=4   -3(4) -2 = -12-2 = -14

n=5   -3(5) -2 = -15-2 = -17

We can substitute n with each term in order.

First Term:

-3(1) - 2

-3 - 2

-5

Second Term:

-3(2) - 2

-6 - 2

-8

Third Term:

-3(3) - 2

-9 - 2

-11

Fourth Term:

-3(4) - 2

-12 - 2

-14

Fifth Term:

-3(5) - 2

-15 - 2

-17

Therefore, the sequence is -5, -8, -11, - 14, -17

Best of Luck!

Answer/Step-by-step explanation:

a. Unknown side, b, using the Pythagorean theorem is solved as shown below.

[tex] b^2 = c^2 - a^2 [/tex]

[tex] b^2 = 45^2 - 27^2 [/tex]

[tex] b^2 = 1,296 [/tex]

[tex]b = \sqrt{1,296}[/tex]

[tex] b = 36 [/tex]

Unknown side, b, = 36 km

b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]

[tex] perimeter = 108 km [/tex]

c. Area of triangle = ½*base*height

where,

Base = 36 km

Height = 27 km

[tex] Area = \frac{1}{2}*36*27 [/tex]

[tex] Area = 18*27 [/tex]

[tex] Area = 486 km^2 [/tex]

Answer:

1950

Step-by-step explanation:

3000×35/100

=1050

so 3000-1050

=1950

Answer:

Option C is the correct option

Step-by-step explanation:

[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]

Write 7y as a sum

[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]

Write -2y as a difference

[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]

Factor out y from the expression

[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]

Factor out 3 from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]

factor out y from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]

Factor out -5 from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]

factor out y + 4 from the expression

[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]

Factor out y + 3 from the expression

[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]

Reduce the fraction with y + 3

Hope this helps..

Best regards!!

Answer:

-4.2c+4.8d

Step-by-step explanation:

(−7c+8d)0.6

Distribute

-7c*.6 + 8d * .6

-4.2c+4.8d

Answer:

-4.2c + 4.8d

Step-by-step explanation:

We would like to distribute the 0.6 in the expression (-7c + 8d) * 0.6.

Remember that when distributing, we multiply the "outside number" (0.6 in this case) by each of the "inside numbers" (-7c and 8d) and then add those products.

So, the first product will be: 0.6 * (-7c) = -4.2c. The second product will be: 0.6 * 8d = 4.8d. Add these together: -4.2c + 4.8d.

The answer is thus -4.2c + 4.8d.

~ an aesthetics lover

Answer: I’m pretty sure is letter A

Answer:Answer:  It takes 4 person 230 mins to paint 6 walls

Step-by-step explanation:

10 people : 46 mins : 3 walls

--------------------------------------------------------------------------------------

Find the number of people needed to paint 6 walls

--------------------------------------------------------------------------------------

(10 x 2) people : 46 mins : (3 x 2) walls

       20 people : 46 mins : 6 walls

⇒ It takes 20 people 46 mins to paint 6 walls.

--------------------------------------------------------------------------------------

Find amount of time to paint all 6 wall by 1 person

--------------------------------------------------------------------------------------

(20 ÷ 20) people : (46 x 20) mins : 6 walls

             1 person :     920 mins     : 6 walls

⇒It takes 1 person 920 mins to paint 6 walls

--------------------------------------------------------------------------------------

Find the amount of time to paint 6 walls by 4 people

--------------------------------------------------------------------------------------

(1x 4) person :     (920 ÷ 4) mins     : 6 walls

       4 person :        230 mins         : 6 walls

⇒ It takes 4 person 230 mins to paint 6 walls

--------------------------------------------------------------------------------------

Answer:  It takes 4 person 230 mins to paint 6 walls

--------------------------------------------------------------------------------------

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                   ✌ -ZYLYNN JADE ARDENNE

Answer:

t > 212

Step-by-step explanation:

Given

Boiling point = 212°F

Required

Inequality that shows temperature greater than the boiling point

From the question, temperature is represented with t.

The inequality "greater than" is represented with >

So, temperature greater than the boiling point implies that t > 212

Answer: t > 212

Step-by-step explanation:

The question says "Write an inequality that is true only for temperatures that are higher than the boiling point of water."

This means t has to be higher than 212 since it says only for temperatures that are higher than the boiling point.

But since we have to write an inequality the answer would be: t > 212.

I know I did this very late and you probably don't need it but i was bored

Answer:  No they are not inverses.

Step-by-step explanation:

If they are inverses,  then the inverse of f(x) will equal g(x).

[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]

f⁻¹(x) ≠ g(x) so they are not inverses

Answer:

x-1

Step-by-step explanation:

| x-1|  x> 1

Since x is greater than x, the absolute value will be positive so we can remove it

x-1

Lets use a number to check

Let x = 4

| 4-1|    4>1

3  which is positive

Answer:

x - 1

Step-by-step explanation:

| x - 1 |

x > 1

x is greater than 1. The absolute value is not needed, since the value inside will only be for positive integers.

x - 1

We can check by plugging x as 2.

2 - 1 = 1 (positive)

2 > 1

Answer:

a. True

b. False

c. True

d. False

Step-by-step explanation:

a. Meaning

as we can see that x is an element of Y

So notation is

[tex]x \in Y[/tex]

Therefore x is the subset of Y if each of an element of X is also an element of Y.

So notation is

[tex]X \subseteq Y[/tex]

2. (a) We need to proof

When [tex]A \subseteq B and B \subseteq C \so A \subseteq C[/tex]

We will say that A, B and C are the set that is [tex]A\subseteq B\ and\ B\subseteq C[/tex]

When A = ∅ then [tex]A\subseteq C[/tex] which shows true, as the set of empty is a subset of each set.

Hence, it is safe to say that A is not the empty set.

Now we will proof directly

Let us say x be an element of A

[tex]x \in A[/tex]

As [tex]A \subseteq B,[/tex] each of the element of A is also an element of B

[tex]x \in B[/tex]

As [tex]B \subseteq C[/tex], each if the element of B is also an element of C

[tex]x \in C[/tex]

Therefore, as we can see that each of an element of A is also known an element of C, that states [tex]A \subseteq C[/tex]

So, the given statement is true, as we conclude with a proof.

(b). We will assume {1}, B = {{1},2} and C = {{1},2,3}

As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true

As all of the elements in B are also an element in C, [tex]B \subseteq C[/tex] which is also correct.

Although, [tex]A \subseteq C[/tex] is false as 1 is an element of A that is not in C.

(c) We need to proof

When  [tex]A \in B\ and \ B \subseteq C[/tex] then [tex]A \in C[/tex]

Let us assume that A, B and C are the sets that [tex]A\in B\ and\ B \subseteq C[/tex]

As, [tex]A \in B, \which\ is\ an\ element\ of\ the\ set\ B[/tex]

[tex]A\in B[/tex]

As, [tex]B \subseteq C[/tex], each of the element of B is also an element of C

[tex]A\in C[/tex]

So, its true.

(d) We will assume {1}, B = {{1},2} and C = {{1},2,3}

As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true

As {{1},2} is an element of B, [tex]B \in C[/tex] is correct

Although [tex]A \in C[/tex] is not correct as {1) is not an element in C.

SO the statement is false

Answer:

length=25m

breadth=10m

Step-by-step explanation:

2.5units+2.5units+1unit+1unit=7units

70/7=10

length=10x2.5=25

breadth=10

(sorryy im not really sure but i hope it helps :D)

Answer:

Length = 25 cm

Breadth = 10 cm

Step-by-step explanation:

Let breadth of the room be 'x'

Let length of the room be ''

Perimeter ( P ) = 70 cm

Now, let's find the breadth of the room 'x '

Perimeter of rectangle =  2(l+b)

plug the values

70=2(2.5x+x)

Collect the like terms

70=2x3.5x

Calculate the product

70=7x

Swap the sides of the equation

7x=70

Divide both sides of the equation by 7

7x / 7= 70/7

Calculate

x=10cm

Breadth = 10 cm

Now, Let's find the length of the room ' 2.5x '

Length of the room =  2.5x

Plug the value of X

2.5x10

Calculate the product

25cm

Thus , The length and breadth of the room is 25 cm and 10 cm respectively.

Hope this helps..

Best regards!!

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

Answer:

G

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]

Answer:

X=6

Step-by-step explanation:

2x+4=3x-2

-4 -4

2x=3x-6

-3x -3x

-1x=-6

--- ---

-1 -1

X=6

Answer:

6

Step-by-step explanation:

2x+4=3x-2

2x-3x=-2-4

-x=-6

(divide both sides by -1)

X=6

SOH CAH TOA

Sin = opp/hyp

Cos = adj/hyp

Tan = opp/adj

7) 21/35 or 3/5

8) 21/20

9) 30/50 or 3/5

10) 40/50 or 4/5

Answer:

[tex]{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]

[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan \theta = \frac{opposite }{adjacent }[/tex]

[tex]sinX=\frac{21}{35}[/tex]

[tex]tanX=\frac{21}{20}[/tex]

[tex]sinC=\frac{30}{50}[/tex]

[tex]cosC=\frac{40}{50}[/tex]

Answer:

C. Fertility= Nutrients * Moisture / Pollutant

Step-by-step explanation:

F=NM/P

F= Fertility of the soil

N= Amount of nutrients in the soil

M= Amount of moisture in the soil

P= Amount of pollutant in the soil

F=NM/P

Fertility of the soil

= Amount of nutrients in the soil * Amount of moisture in the soil / Amount of pollutant in the soil

Fertility= Nutrients * Moisture / Pollutant

Option C is the correct answer