Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer:

43

Step-by-step explanation:

Use the mean formula:

mean = (sum of elements) / (number of elements)

Let x represent the fourth number, and solve for x:

mean = (sum of elements) / (number of elements)

40 = (35 + 41 + 41 + x) / 4

40 = (117 + x) / 4

160 = 117 + x

43 = x

So, the fourth number is 43

Answer:

43

Step-by-step explanation:

Answer:

See explanation for answer.

Step-by-step explanation:

I'm not sure if this correct but I think the answer is the second one.

I hope this helps!

Have a lovely day!

Answer:

1. Reflection

2. Dilation

3. Rotation

Step-by-step explanation:

Hey!

You can tell number one is a reflection because it didn’t change side or turn upside down or anything, it just flipped over to the other side.

You can tell number two is a dilation because it changes size.

You can tell number three is rotation because it rotated.

Hope this helps! :D

If you have any further questions, comment down below!

=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Beth is correct for write these formulas to find the area of sector COB.

We have to given that,

In circle O,

Diameter AB, chord BC, and radius OC are drawn,

And, the measure of arc BC is 108°.

Now, We know that,

Area of sector is,

A = (θ/360) πr²

Where, θ = central angle and r is radius.

Substitute all the values, we get;

⇒ Area of sector = (108/360) π × (OC)²

Hence, Beth is correct for write these formulas to find the area of sector COB.

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Answer:

a) -65 × 102 : -6630

b) -37 ×18 + -37 × 82 : -028337

Step-by-step explanation:

Step-by-step explanation:

a) -65 × 102 = (-65×100) +(-65×2)

= -6500-130

= -6,630

b) -37 ×18 + -37 × 82 =

-37(18+82) = -37(100) = -3,700

Answer: first one: false second one: true

Step-by-step explanation:

Answer:

226.19 [tex]cm^{3}[/tex]

Step-by-step explanation:

Vol. of cone = Bh/3   where B is the area of the base(circle) and h is the height of the cone.

r = 3   h = 3

V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π

Vol. of the cylinder = Bh   where B is the base(circle) and h is the height of the cylinder.

r = 3   h = 10 - 3 = 7

V = [tex]\pi *3^{2} * 7[/tex] = 63π

Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19

Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,

Volume = Volume of cone + Volume of slant cylinder

             = [(1/3)πr²h] + [πr²H]

             = [(1/3)×π×(3)²×3] + [π×(3)²×7]

             = 28.274 cm³ + 197.920 cm³

             = 226.194 cm³

Hence, the volume of the composite figure will be 226.194cm³.

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25 = a1(1- (0.6)⁴)/(1-0.6)

25 = a1 (1- 0.13)/(0.4)

10 = a1(0.87)

a1 = 11.49

S8 = 11.49(1- (0.6)^8)/(1-0.6)

= 11.49(1-0.017)(1-0.6)

= 11.49(0.983)/0.4

= 28.24

The sum of the first eight terms of the given geometric series is; 28.24

We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

where;

a is first term

r is common ratio

Thus;

25 = a(1 - (0.6)⁴)/(1 - 0.6)

25 = a(1 - 0.13)/(0.4)

10 = 0.87a

a = 11.49

Thus, sum of the first 8 terms of the series is;

S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)

S₈ = 11.49(1 - 0.017)(1 - 0.6)

S₈ = 28.24

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Answer:

The answer is in the picture.

Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

8/4 = 2

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

Therefore: 2[tex]\sqrt{5}[/tex]

Hope this helps!

Answer:

[tex]2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\frac{8\sqrt{20}}{4\sqrt{4}} = \frac{2 \cdot 4 \cdot \sqrt{4} \cdot \sqrt{5}}{4 \cdot \sqrt {4}} = 2\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

the answer is 25 in typing this to extend to 20 charecters

Answer:

The Indus River Valley Civiization.

Step-by-step explanation:

https://www.history.com/topics/ancient-middle-east/persian-empire#section_1

[tex]\bold{\blue{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=\dfrac{9}{4}}  }[/tex] 

[tex]\bold{\pink{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=[\dfrac{4}{9}]^{-1} }}[/tex] 

[tex]\bold{\green{\dfrac{2^{x}(1+11^{x}+111^{x})}{3^{x}(1+11^{x}+111^{x})}=((\dfrac{2}{3})^{{{2}}})^{{{-1}}}   }}[/tex] 

[tex]\bold{\orange{\dfrac{2^{x}\cancel{(1+11^{x}+111^{x})}}{3^{x}\cancel{(1+11^{x}+111^{x})}}=(\dfrac{2}{3})^{-2}   }}[/tex] 

[tex]\bold{\purple{\dfrac{2^{x}}{3^{x}}=(\dfrac{2}{3})^{-2}   }}[/tex] 

[tex]\bold{\red{(\dfrac{2}{3})^{x} =(\dfrac{2}{3})^{-2}   }}[/tex] 

[tex]\bold{\green{ x=-2 } }[/tex]

Answer:

Step-by-step explanation:

simplify upper n lower fraction of LHS:

2^x+22^x+222^x

= 2^x*1 + (2*11)^x + (2*111)^x

= 2^x*1 + 2^x*11^x + 2^x*111^x

= 2^x*(1+11^x+111^x)

3^x+33^x+333^x

= 3^x*1 + (3*11)^x + (3*111)^x

= 3^x*1 + 3^x*11^x + 3^x*111^x

= 3^x*(1+11^x+111^x)

so LHS

= 2^x*(1+11^x+111^x) / (3^x*(1+11^x+111^x))

= 2^x / 3^x

= (2/3)^x

RHS = 9/4

= (3^2/ 2^2)

= (3/2)^2

= (2/3)^(-2)

so x = -2

Answer:

9765625

Step-by-step explanation:

[tex] {5}^{5} \times {5}^{5} = 9765625[/tex]

Answer:

[tex]{5}^{7} [/tex]

Step-by-step explanation:

[tex] {5}^{5 + 2} [/tex]

=

[tex] {5}^{7} [/tex]

Answer:

Percent               Fraction           Decimal

 64                        [tex]\frac{16}{25}[/tex]                    0.64

 12.5                      [tex]\frac{1}{8}[/tex]                      0.125

140                       [tex]1\frac{2}{5}[/tex]                        1.4

275                        [tex]2\frac{3}{4}[/tex]                       2.75

 8                           [tex]\frac{2}{25}[/tex]                       0.08

Answer:

Step-by-step explanation:

the area of the rectangle is a difference of two squares

so it can be expressed

(x^2-3y)(x^2+3y)

Answer:

(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7+√5/4

Step-by-step explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is  7+√5/4

Answer:

Step-by-step explanation:

[tex] {x}^{2} + 7x + 3 = 0[/tex]

Answer:

74/15

Step-by-step explanation:

[tex]\frac{3}{4}[/tex]x - 3 = [tex]\frac{7}{10}[/tex]

to remove fractions multiply each side of equation by 40

3/4x(40) - 3 = 7/10(40)

120/4x - 120 = 280/10

simplify:

30x - 120 = 28

add 120 to each side to get:

30x = 148

x = 148/30 or 74/15 simplified

Answer:

x^2 + y^2 = 3^2

Step-by-step explanation:

Start with (x - h)^2 + (y - k)^2 = r^2.

If the center is at (0, 0), we then have x^2 + y^2 = r^2.

If this circle passes through (0, 9), then 0^2 + 9^2 = r^2, and r must be 3.

Then the standard equation of this circle i

x^2 + y^2 = 3^2

Answer:

5hours - 3hours = 2hours

Answer:

3rd option

Step-by-step explanation:

Given

[tex]\frac{x^2-10x+21}{x^2+x-12}[/tex] ← factor numerator and denominator

= [tex]\frac{(x-7)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator / denominator

= [tex]\frac{x-7}{x+4}[/tex]

Step-by-step explanation:

c is the correct answer of this question.

Answer:

10

Step-by-step explanation:

bh/2

b=5

h=4

=5×4/2

=20/2

=10

Answer:

(a) 8P3 =336;

Answer:

B

Step-by-step explanation:

The slope (rise/run) is 5/1. y is number of chairs, and x is number of round tables, so it's number of chairs/number of round tables. Plus it wouldn't make sense to have only one chair for 5 tables. Hope this helps :)