An 8 ft tall tent standing next to a man casts a 16 ft shadow. If the man is 6 ft tall, then how long is his shadow?

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

Answer: 40

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

2x+10+3x+x+50=180

Combine like terms

6x+60=180

Subtract 60 on both sides

6x=120

Divide 6 on both sides

x=20

Hope it helped :))

Answer:  The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Given :

Amount of coloured fabric used by June = 11 mm = 1.1 cm    (1 mm=0.1 cm)

Amount of white fabric used by June = 1 cm

To find : amount of white fabric to coloured fabric as a ratio in its simplest form

To find the ratio in simplest form , the units of both measurements should be same

Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]

The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]

Answer:

E

Step-by-step explanation:

E is the correct answer

Answer:

My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c

Step-by-step explanation:

Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.

So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]

= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]

= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.

So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]

= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]

= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4

So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.

Answer:

A 6 digit number can be written as:

abcdef

Where each letter represents a single digit.

We know that this number is smaller than 600,000, and we also know that:

a + b + c + d + e + f = 38

Now, we have a lot of variables, so we can play a little.

I will suppose that:

f = 6

e = 7

d = 3

c  = 9

then we have:

a + b + 9 + 3 + 7 + 6 = 38

a´+ b + 25 = 38

a + b = 38 - 25 = 13

now let's suppose that b = 8

a + 8 = 13

a = 13 - 8 = 5

Then our number is:

589,376

This number is smaller than 600,000, and if we add the sum of the digits is 38.

Now we want to find 11 other numbers like this.

We can simply change the places of some of the digits, like:

598,376  (also meets the condition)

Where i just changed the positions of the 9 and the 8.

589,367  (also meets te condition)

Where i just changed the position of the 6 and 7.

Now just keep doing that, only take care that the number can not be larger than 600,000, so i will leave the first 5 fixed in that position.

589,673 (also meets the condition)

598,736 (also meets the conditions)

536,798  (also meets the conditions)

536,897  (also meets the conditions)

536,978  (also meets the conditions)

563,798  (also meets the conditions)

563,987  (also meets the conditions)

563,879  (also meets the conditions)

573,689  (also meets the conditions)

573,869  (also meets the conditions)

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Answer:

y = 3x -10

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

I took a screenshot of the graph below, as an example of the rise over run method.

3 ÷ 1 = 3

To find the y intercept, count down on the graph until you reach the point where the line crosses.

In this case, the line crossed at -10 on the y-axis.

(Look at the second image)

So plug the numbers into the equation, and then you get y = 3x -10.

Answer:

She will pay $30.8448.

Step-by-step explanation:

Consider the provided information.

The price of the sweater is $90.

She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.

70% of $90 = [tex]0.7\times 90 = 63[/tex]

Now she gets a discount of 20% it means she needs to only 80% of $63.

[tex]0.8\times 63=50.4[/tex]

If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4

[tex]0.9\times 50.4=45.36[/tex]

If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36

[tex]0.85\times 45.36 =38.556[/tex]

Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556

[tex]0.8\times 38.556=30.8448[/tex]

Hence, she will pay $30.8448.

Answer:

$1.80

Step-by-step explanation:

i had this question

Answer:

It's 30

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

they all are equal to 1:3

so 90/3=30

answer is 30 !

Answer:

The answer is below

Step-by-step explanation:

a)  x represents the number of years since 2004 this means that x = 0 represent the year 2004, y represent the number of catalogs. From the table the numbers of catalogs in 2004 are y-intercepts and the slope is the growth rates. Hence the equations are:

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

b)

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

Subtract equation 2 from equation 1 to get:

0 = 2657x + 3635

2657x = -3635

Divide through by 2657

x = -1.368

Put x = -1.368 in equation 1:

y = 1293(-1.368) + 7440

y = 5671.1

This means that about 1.4 years before 2004, the number of catalogs where 5671

Answer:

are u really done this one or not I help U okay salamat

Answer:

A

Step-by-step explanation:

You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

Answer: 7) isosceles 8) scalene 9) congruent 10) scalene 11) isosceles 12) congruent

Step-by-step explanation: Scalenes have two matching sides, congruent has all matching sides, and scalene has no matching sides :)

Answer: The answer is 3.

Step-by-step explanation:

64+3=67 67+3=70 Etc.

Answer:

y=1/2x+2

Step-by-step explanation:

hope it helps ^^

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

9514 1404 393

Answer:

  (a^2 +ax -y^2)·(a^2 +ax +y^2)

Step-by-step explanation:

This can be factored as the difference of squares.

  a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4

  = (a(a+x) -y^2)(a(a+x) +y^2)

  = (a^2 +ax -y^2)·(a^2 +ax +y^2)

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

20% because if there's six different chocolates she likes and if she picks random thers a possibility of it

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

Answer:

5x+6= 10x-8

14= 5x

x= 2.8

Step-by-step explanation:

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27