what is the measure of <C
​

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: 12 boys attend Millwood School.

Step-by-step explanation:

Yeah. It just makes sense. I am bad at explaining. Sorry!

The ratio shows how many times one value is contained in another value.

The ratio of boys to girls at the Milwood School is 4 to 5.

The number of girls that attended the Milwood school is 15.

The number of boys that attended the Milwood school is 12.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of boys to girls at the Milwood School is 4 to 5.

Total number of children = 27

Let the number of boys = 4x

Let the number of girls = 5x

Now,

4x + 5x = 27

9x = 27

x = 3

Now,

The number of boys = 4x = 4 x 3 = 12

The number of girls = 5x = 5 x 3 = 15

Thus,

The number of boys that attended the Milwood school is 12.

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Answer:

6 ÷ 2(1+2)

From

PEMDAS

We deal with Parenthesis first, Then Multiplication before division.

6÷ 2(3)

6÷6

6/6 = 1.

Answer:

1

Step-by-step explanation:

= 6 ÷ 2(3)

= 6 ÷ 2 of 3

= 6 ÷ 6 (∵ Using BODMAS rule)

= 1

Answer:

The answer is in the picture.

Answer:

10

Step-by-step explanation:

bh/2

b=5

h=4

=5×4/2

=20/2

=10

Answer: (3x-5)(x+3)(x-3)

Step-by-step explanation:

Answer:

5hours - 3hours = 2hours

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:

Given:

The quadratic equation is:

[tex]x^2+x-30=0[/tex]

To find:

The solutions of the given equation.

Solution:

We have,

[tex]x^2+x-30=0[/tex]

Splitting the middle term, we get

[tex]x^2+6x-5x-30=0[/tex]

[tex]x(x+6)-5(x+6)=0[/tex]

[tex](x+6)(x-5)=0[/tex]

Using zero product property, we get

[tex]x+6=0[/tex] and [tex]x-5=0[/tex]

[tex]x=-6[/tex] and [tex]x=5[/tex]

Therefore, the solutions of the given quadratic equation are -6 and 5.

[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

=>(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

Answer:10

Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps

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:

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:

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:

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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Answer:

57.12 cm²

Step-by-step explanation:

area = (9.28 + 5) × 8/2

= 14.28 × 4 = 57.12 cm²

Answer:

D and E

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:

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:

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:

(a) 8P3 =336;

Answer:

x^2-12x+37

Step-by-step explanation:

Let's start by putting this into vertex form which will be (x-6)^2+1

Now lets solve our equation to get parabola standard form

x^2-12x+37

Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer: first one: false second one: true

Step-by-step explanation:

Answer:

No, that would cost more than $180.

Step-by-step explanation:

6(10)+60(3)≤$180

60+180 = $240

$240≤$180

Hope this helps!

Answer:

Step-by-step explanation: