To make some draperies, an interior decorator needs 12 1/4 yards of material for the den and 8 1/2 yards for the living room. If the material comes only in 21-yard bolts, how much will be left over after completing both sets of draperies?

Answer:

A. 4, 8, 12

Step-by-step explanation:

there is a scale factor f=2 to "go" from one triangle to the other.

that means all sides of the target triangle are created out of their corresponding side of the source triangle by multiplying them by the scale factor.

so,

2×f = 2×2 = 4

4×f = 4×2 = 8

6×f = 6×2 = 12

The lengths of DE, EF, and DF are 4, 8 and 12 respectively, (option 1)

Two triangles are said to be similar if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given that, Δ ABC~ Δ DEF and the scale factor from Δ ABC to Δ DEF is 2

Since, the scale factor is 2, therefore each side of Δ ABC is increased by 2 in Δ DEF

Therefore,

DE = 2AB

EF = 2BC

DF = 2AC

Therefore,

DE = 4

EF = 8

DF = 12

Hence, the lengths of DE, EF, and DF are 4, 8 and 12 respectively, (option 1)\

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Answer:

D. divide 12 from both sides

Step-by-step explanation:

12x = 60,

Divide each side by 12

12x/12 = 60/12

x = 5

We have to find,

The last step to solve for x,

→ 12x = 60

Then use option (D),

D. divide 12 from the both sides,

→ 12x = 60

→ 12x/12 = 60/12

→ x = 5

Hence, option (D) is last step.

Hello,

546=2*3*7*13

a=2, b=3,c=7,d=13

b+c=3+7=10

Answer:

2 sheep

Step-by-step explanation:

If you have 36 sheep  and you sell:

first day    1/2 of them  you sold               18

second day  1/3  them you sold                12

On thhe third day  1/9  them you sold       4

Therefore you sold 18 + 12  + 4  = 34

And you still have  2 sheep

Answer:

0.01

0.05y-0.12y-0.06

Answer:

First one should be: 0.05 + 0.1y = 0.12 + 0.06y

Second one is 100

Step-by-step explanation: Trust me:)))

Answer:

C the line that divides the design into two similar parts

The line of symmetry divides the design into two similar parts.

"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "

A line divides a design into two parts.

If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.

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Answer:

Focus.

Step-by-step explanation:

.

Answer:

The correct answer is D. Focus.

Step-by-step explanation:

Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation:

Answer:

15 9 3

Step-by-step explanation:

15 9 3

sorry i guessed on this one

but it does work

when they said 3 in the first sentence i helped me guess

Answer:

first term = 15

second term = 9

Third term = 3

Step-by-step explanation:

Let the first term be 3x

Let the second term be = 3x - 6       [ 6 less than first term]

Let the third term be = 1/5 of 3x

                                 [tex]=\frac{1}{5} \times 3x\\\\=\frac{3}{5}x[/tex]

Difference between first and third term = 12

That is ,

           [tex]3x - \frac{3}{5}x = 12\\\\\frac{(3x \times 5) - 3x }{5} = 12\\\\15x - 3x = 12 \times 5\\\\12x = 60\\\\x = \frac{60}{12} = 5\\\\Therefore , \ first \ term = 3x = 3 \times 5 = 15\\\\second \term = 3x - 6 = 3( 5) - 6 = 15 - 6 = 9\\\\Third \ term = \frac{1}{5} \times 3x = \frac{1}{5} \times (3 \times 5) = 3[/tex]

Answer:

30 ,,,,,,,, I hope it's helpful for you

3 text messages = 5 cents

So,

1 text messages

= 5 cents/3

= 5/3 cents

So,

150 text messages

= 150 × (5/3 cents)

= 50 × 5 cents

= 250 cents

Answer:

[tex]x\approx 49.6^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.

For angle [tex]x[/tex]:

Therefore, we have:

[tex]\tan x^{\circ}=\frac{40}{34}[/tex]

Take the inverse tangent of both sides to solve for [tex]x[/tex]:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]

Answer:

113

Step-by-step explanation:

Answer:

P= $226,863.29

Step-by-step explanation:

Compounded Continously means

P= P₀e^(rt)

plug in givens

P=(47000)e^(0.0926*17)

Use Calculator

and get P= $226,863.29

Answer:

$226,863.29

Step-by-step explanation:

P = $47,000

r = 0.0926

t = 17

A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]

A = $226,863.29

Step-by-step explanation:

Answer:

Step-by-step explanation:

a*b *c = abc

15c = 15 . c

2a * 10b = 2* 10 * a * b = 20ab

The above mentioned expressions are true

That are false

12ab = 12a * 12b   ----> false because 12ab = 12 * a* b

7a *7b = 14ab is false because   7a * 7b = 7 * 7* a *b = 49ab

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

Answer:

7500 m

Step-by-step explanation:

5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500

Answer:

[tex]72 cm^{2}[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

Square:

5*5= 25 cm.

Rectangle#1:

4*5= 20 cm.

Rectangle #2:

3*5= 15 cm.

Triangle (2):

[tex]3*4*\frac{1}{2}=6[/tex]

Multiply by 2 because there are 2 triangles

6*2= 12 cm

Total:

Add them all up.

25+20+15+12= 72

Answer:

a = 6, b = 6√2, c = 2√3, d = 6

Step-by-step explanation:

Applying,

sin60° = a/4√3

Therefore,

a = sin60°×4√3

a = (√3/2)(4√3)

a = 3×2

a = 6

Also,

cos60 = c/4√3

c = cos60×4√3

c = 0.5×4√3

c = 2√3

also,

tan45 = a/d

d = a/tan45

d = 6/(1)

d = 6

Also,

sin45 = a/b

b = a/sin45

b = 6/(1/√2)

b = 6√2

Answer:

50

Step-by-step explanation:

Arc AT the center = angle at the center = 50

Answer:

3,750 cars.

Step-by-step explanation:

We are given that the equation:

[tex]y=9000-2.4x[/tex]

Models the relationsip between y, the number of unfilled seats in the stadium, and x, the number of cars in the parking lot.

We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.

When there are no unfilled seats in the stadium, y = 0. Thus:

[tex]0=9000-2.4x[/tex]

Solve for x. Subtract 9000 from both sides:

[tex]-2.4x=-9000[/tex]

Divide both sides by -2.4:

[tex]x=3750[/tex]

So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.

Step-by-step explanation:

in fraction it comes 36/121

and in decimal.it comes 0.3

Answer:

Step-by-step explanation:

6/11^2 = 6/11 * 6/11 = 36 / 121.

You cannot simplify 36/121

Answer:

256 ways i think maybe

Step-by-step explanation:

Answer:

25.1 cm

Step-by-step explanation:

c = πd

c = π*8

c = 25.1327412287

Rounded

c = 25.1 cm

Ans. (a)

SQ and RQ

Ans. (b)

∠RQT

∠TQR

Ans. (c)

Q

Answer:

M = T - 3

Step-by-step explanation:

Given

T = M + 3 ( subtract 3 from both sides )

T - 3 = M , that is

M = T - 3

Answer:

[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]

Step-by-step explanation:

T = M + 3

Swap the sides of of equations .

M + 3 = T

subtract 3 from both side

M + 3 - 3 = T - 3

M = T - 3

Answer:

Y=4/-2

Step-by-step explanation: