find the value of given expression

[tex] \sqrt{213 \times 213} [/tex]
​

Answer:

C

Step-by-step explanation:

a) 55 > 48 > 27 > 12 > 0 ×

b) 62 > 40 > 9 > 3 < 25 ×

c) 1 < 8 < 13 < 29 < 42 ✓

d) 15 < 34 > 0 < 7 < 28 ×

Answer:

-2r3t2 + 3rt – 16

Step-by-step explanation:

Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

RQ=TV

QS=VU

RS=TU

While proving that 2 triangles are congruent you have to consider the same side for both triangles.

The mistake you made was that you presumed that since both have equal sides they are equal,

In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.

B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched

Happy to help :)

If you need any more help, you can ask me

Answer:

There are six equal surfaces of a cube. Then,

384 / 6 = 64 sq in (the area of one surface)

The area of one surface of a cube will be equal to x*x (if we let the edge length be x)

x^2 = 64

x = 8 inch

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

#SPJ2

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24

Step-by-step explanation:

Step-by-step explanation:

Are the roots equal or unequal

Answer:

23

Step-by-step explanation:

The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23

An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.

The formula to calculate interquartile range is:

IQR = Q₃ - Q₁

where;

Q₃ is third quartile

Q₁ is first quartile

The given points when arranged in increasing order gives us:

13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27

Q₁ is the (n + 1)/4 terms = 3rd term.

Thus; Q₁ = 17

Q₃ is 3(n + 1)/4 term = 9th term.

Thus; Q₃ = 24

Then; IQR = 24 - 17

IQR = 7

The desired interquartile range should decrease by 1 point. Thus;

Desired IQR = 7 - 1 = 6.

To find the score of the 12th game, let us try  23 points as the score of the 12th game:

Thus;

Q₁ = 17.5

Q₃ = 23.5

IQR = 23.5 - 17.5

IQR = 6

Thus, required number of points is 23.

Read more about Interquartile Range at; https://brainly.com/question/3859769

Answer:

16. 2/3, 4/6, 16,24

17. 3/7, 30/70, 300,700

18. 5/8 15/24, 10/16

Step-by-step explanation:

All you do is either multiply or divide quotient/denominator by the same number as denominator/quotient

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

Answer:

They will need 1500 yards of ribbon

Answer:

1 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the triangles are congruent and the factor is 1/2

x=8/2=4

Answer:

90

Step-by-step explanation:

Change 5 hours to minutes. (5x60, and 300 minutes)

Divide 300 by 40. (7.5)

Then, multiply 7.5 by 12 (90)

Answer:

90 pizzas

Step-by-step explanation:

We know 5 hours = [tex]5\times60 = 300[/tex] minutes

If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.

Emma can make 12 pizzas in 40 minutes.

So she can make 6 pizzas in 20 minutes (in half time)

In 1 period she makes 6 pizzas.

In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)

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Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

Answer:

Step-by-step explanation:

y = 4x^2 - 1

Is a Polynomial equation of degree 2.

Also called a quadratic equation.

Answer: c

Step-by-step explanation: