What is the scale factor from ABC to DEF?

Answer:

Approximately 2

Step-by-step explanation:

103 divided by 53 is 1.94

Round 1. 94 up to a whole number is approximately 2 wood pieces.

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

Answer:

5 3 3 2 2

Step-by-step explanation:

180

90 2

45 2 2

15 3 2 2

5 3 3 2 2

Answer:

180 = 5 × 3² × 2²

Step-by-step explanation:

Starting with 180, the prime factors are in bold

180 = 90 × 2

      = 45 × 2 × 2

      = 15 × 3 × 2 × 2

      = 5 × 3 × 3 × 2 × 2

Then

180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²

Answer:

arc BC = 100°

Step-by-step explanation:

The inscribed angle BEC is half the measure of its intercepted arc BC , then

arc BC = 2 × 50° = 100°

Answer:

2.56 * 10^11 L

Step-by-step explanation:

1 body has 40 L

Thus, the amount in 6.4 billion would be;

40 * 6.4 * 10^9

= 256 * 10^9

= 2.56 * 10^2 * 10^9

= 2.56 * 10^11 L

Answer:

25

Step-by-step explanation:

Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.

To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,

7x-1 = 1/2(10x+18)

expand

7x-1 = 5x  + 9

add 1 to both sides to separate the 7x

7x = 5x + 10

subtract 5x from both sides to separate the x

2x = 10

divide both sides by 2 to separate the x

x=5

Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.

Using x=5, we know that BC  = 9(5) -2 = 43

Therefore, AB = AC-BC = 68-43 = 25

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Answer:

Option D, 140 sq. units

Step-by-step explanation:

Area of the rectangle part, 11*5 = 55 sq. units

Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units

Total area,

55+2*42.5 sq. units (since there are two pentagons)

= 55+85 sq. units

= 140 sq. units

Answer:

[tex]q = 3[/tex]

Step-by-step explanation:

[tex]3q−2=7[/tex]

[tex]3q=7+2[/tex]

[tex]3q=9[/tex]

[tex]q = 3[/tex]

The value of c is 0.

By question,

17x² = 12x

or,(17x-12):x=0

or,17x - 12 = 0#

For some tips,

HENCE PROVED ##

Step-by-step explanation:

Therefore, the factors are x + 6 and 2x − 9.

The factors of the polynomial are (2x-9)(x+6)

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Given is a polynomial 2x²+3x-54, we need to find its factors,

So,

Factors :-

= 2x²+3x-54

= 2x²+12x-9x-54

= 2x(x+6)-9(x+6)

= (2x-9)(x+6)

Hence, the factors of the polynomial are (2x-9)(x+6)

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Answer:

D. 160

Step-by-step explanation:

Answer:

1 and 2.....then 3 is a different question

Answer:

y = 5

Step-by-step explanation:

The given equation to us is

⇒ -4y = -20

⇒ y = -20/-4

⇒ y = 5

Therefore this line will pass 5 units away from y axis. For graph refer to the attachment .

More Information :-

Answer:

[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]

Answer:

[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]

Step-by-step explanation:

[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]

               [tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]

Given:

The expression is:

[tex]b^2+20b[/tex]

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.

We have,

[tex]b^2+20b[/tex]

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].

[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]

[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]

Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.

Answer:

[tex]4x-8+4y[/tex]

Step-by-step explanation:

We are given that an expression

[tex]4(x-2+y)[/tex]

We have to find an equivalent expression using distributive property .

Distributive property:

[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]

Using the property

[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]

[tex]4(x-2+y)=4x+4(-2)+4y[/tex]

[tex]4(x-2+y)=4x-8+4y[/tex]

Hence, the equivalent expression  of the given expression is given  by

[tex]4x-8+4y[/tex]

Answer:

The temperature at the start is 35F

The temperature of the room is 74F

Step-by-step explanation:

Given

[tex]T(m) = 74 - 39(0.87)^m[/tex]

Solving (a): The temperature at the start.

To do this, we set: [tex]m = 0[/tex]

So, we have:

[tex]T(0) = 74 - 39(0.87)^0[/tex]

[tex]T(0) = 74 - 39*1[/tex]

[tex]T(0) = 74 - 39[/tex]

[tex]T(0) = 35[/tex]

Hence, the temperature at the start is 35F

Solving (b): The room temperature

We have:

[tex]T(m) = 74 - 39(0.87)^m[/tex]

To get the temperature of the room, we simply remove the exponential function.

So, we have:

[tex]Initial = 74[/tex]

Hence, the temperature of the room is 74F

The initial temperature of the liquid is 35 F and the room temperature is 74 F.

The melting point is the temperature at which the solid starts converting into liquid.

Given here,

[tex]T_m = 74- 39(0.87)^m[/tex]

Leat the [tex]m = 0,[/tex]

So,

[tex]T_0 = 74- 39(0.87)^0\\\\T_0 = 35 \rm \ F[/tex]

Thus the initial temperature is 35 F.

Now remove the exponential to get the room temperature,

So,

[tex]T_{RT} = 74[/tex]

Therefore, the initial temperature of the liquid is 35 F and the room temperature is 74 F.

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Answer:

sin o = opposite/hypotenuse

sin o= 7/12

Answer:

Area=7850 cm

Step-by-step explanation:

Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm

Answer:

1.5m + 1 ≤ 25

Step-by-step explanation:

Given:

Total amount of gift card Miguel have = $25

Cost of each song = $1.50

Account activation fee = $1

Find:

Inequality

Computation:

Assume;

Number of song Miguel have = m

So,

Total amount of gift card Miguel have ≥ (Cost of each song)(Number of song Miguel have) + Account activation fee

1.5m + 1 ≤ 25

Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

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Answer:

Volume: 37.692 cm3

Step-by-step explanation:

1) 1/3 x 3.14 x 3 power of 2 x 4

2) 1.047 x 9 x 4

3) 37.692 cm3

Answer:

[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]

[tex]r=3cm[/tex]

[tex]h=4 cm[/tex]

[tex]volume=\pi /3\times3^{2} \times4[/tex]

[tex]=12\pi =12\times3.14[/tex]

[tex]=37.68~ cm^{2}[/tex]

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

hope it helps...

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[tex]( - \frac{3}{4} )( \frac{7}{8} )[/tex]

[tex] = \frac{ - 3}{4} \times \frac{7}{8} [/tex]

[tex] = \frac{ - 21}{32} [/tex]

_______________________________________

[tex]( \frac{2}{3} )( - 4)(9)[/tex]

[tex] = \frac{2}{3} \times - 4 \times 9[/tex]

[tex] = \frac{ - 72}{3} [/tex]

[tex] = - 24[/tex]

_______________________________________

[tex]( \frac{5}{16} )( - 2)( - 4)( - \frac{4}{5} )[/tex]

[tex] = \frac{5}{16} \times - 2 \times - 4 \times \frac{ - 4}{5} [/tex]

[tex] = \frac{ - 160}{80} [/tex]

[tex] = \frac{ - 16}{8} [/tex]

[tex] = - 2[/tex]

_______________________________________

[tex](2 \frac{3}{5} )( \frac{7}{9} )[/tex]

[tex] = \frac{13}{5} \times \frac{7}{9} [/tex]

[tex] = \frac{91}{45} [/tex]

Answer:

Multiplication

Amount Tom earns per hour = $7

Step-by-step explanation:

Amount Jeff earns per hour = $14

Amount Tom earns per hour = 1/2 × $14

Note: 1/2 = 0.5

Amount Tom earns per hour = 1/2

× $14

= 0.5 × $14

= $7

Amount Tom earns per hour = $7

Answer:

5/4

Step-by-step explanation:

To Find :-

Solution :-

By question ,

=> cos a = 5/3 = b/h

=> p = √ 5² - 3² = √ 25 -9 = 4

Therefore ,

=> cot a = b/p = 5/4