The following shapes are similar. AB : IJ is 5:1 and the length of FE is 30. What is the length of NM?

Answer:

(x-5)(x-6)

Step-by-step explanation:

-6-5=-11

-6 times -5=30

so...

(x-5)(x-6) and -5 and -6 are the factors.

Answer:

The answer is 0.15372

Step-by-step explanation:

Answer: 3.3 × 10⁹

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁴) × (1.1 × 10⁵)

Put like terms together

=3 × 1.1 × 10⁴ × 10⁵

Combine like terms

=3.3 × 10⁴⁺⁵

=[tex]\boxed{3.3*10^9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

3.3×10^9

Step-by-step explanation:

[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]

Answer:

Lies between 3&4

See THE IMAGE FOR SOLUTION

Step-by-step explanation:

Answer:

George Washington 67 and sister 63

Answer: 28

Step-by-step explanation:

Let the present age of George be = x years

and present age of her daughter is = y years

4 years ago,

George age be = x - 4

Daughter age be = y - 4

After four years,

George age be = x +4

Daughter age be = y+ 4

Substitute the value of x in equation 2

➡

Value of y put in equation 1

➡x= 28

So, the present age of George is 28 years and his daughter's age is 4 years.

Answer:

28

Step-by-step explanation:

Given formula:

4s

It is given that the variable, s, is equal to 7. Therefore, plug in 7 for s in the expression:

4s

4(7)

Next, multiply straight across:

4 * 7 = 28

28 is your answer.

~

Answer:

answer is 28

Step-by-step explanation:

it is simple put the value of S in formula and then solve

(B) 0

We have

[tex]p^2 = 2q^2 \implies \dfrac{p^2}{q^2} = \left(\dfrac pq\right)^2 = 2[/tex]

but 2 is not a square number.

Answer:

400cm²

Step-by-step explanation:

the surface area of the sphere =

4/3 x The total surface area of a hemisphere

=> 4/3 x 300 = 400cm²

Answer:

b+5≤-24. Hope this helps:)

Step-by-step explanation:

Answer:

25.6 feet

Brainliest, please!

Step-by-step explanation:

10/16 = 16/x

5/8 = 16/x

5 = 128/x

x = 128/5

x = 25.6

The floor of the new tent is 24 feet wide.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Side of old tent = 10 feet,

And width of floor = 15 feet.

Let width of new tent is x feet.

To find the width of a tent whose side is 16 feet,

Use ratio and proportion property,

10/15 = 16/x

x = (16 × 15)/10

x = 240/10

x = 24 feet

The width of the floor of the new tent is 24 feet.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Speed in km/h=111.6km/h

[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 111.6km/h[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 111.6\times \dfrac{5}{18}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow \dfrac{558}{18}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 31m/s[/tex]

Answer:

Step-by-step explanation:

We know that:

Convert:

Answer:

n = 3

Step-by-step explanation:

to find the value of n

we need to transpose

7n + 12 = 3n+ 8n

7n + 12 = 11n

12 = 11n -7n

12 = 4n

n = 12/4

n = 3

if ur trying to find the value of n then n=3

Step-by-step explanation:

1. 1.45^(-0.7) = 0.771

2. (4/3)^(2.7) = 2.174

1:-

[tex]\\ \sf\longmapsto 1.45^{-0.7}[/tex]

[tex]\\ \sf\longmapsto 1.45^{-\frac{7}{10}}[/tex]

[tex]\\ \sf\longmapsto 0.771[/tex]

2:-

[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{2.7}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{\frac{27}{10}}[/tex]

[tex]\\ \sf\longmapsto 2.174[/tex]

Answer:

the g.c.f is 44,46,

i not sure but hope it help

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Step-by-step explanation:

The equation in the question is false.

[tex]x - 2 = 3(x - 4)[/tex]

[tex]x - 2 = 3x - 12[/tex]

[tex]3x - x = 12 - 2[/tex]

[tex]2x = 10[/tex]

[tex]x = 10 \div 2[/tex]

[tex]x = 5[/tex]

Answer: Fourth Choice. 66

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

n = 3

Given expression

6 (n² + 2)

Substitute values into the expression

=6 (3² + 2)

Simplify exponents

=6 (9 + 2)

Simplify values in the parentheses

=6 (11)

Simplify by multiplication

=[tex]\boxed{66}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} 6(n^2+2) = 6(3^2+2)=66[/tex]

Answer:

37

Step-by-step explanation:

85.1÷ 2.3​

=> 85.1/2.3 [Removing the decimals]

=> 851/23

=> 37

Answer:

I guess answer is 86. ...........

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

Each child receives

number of apples divided by number of children, that is

each child receives [tex]\frac{x}{y}[/tex] apples

Answer:

[tex]1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you[/tex]

Answer:

18×2+6(4+1)-2

= 36+6×5-2

= 36+30-2

= 66-2

=64

Answer:

y=16

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Re-order terms so that constants are on the left

Divide both sides of the equation by the same term

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

y is 16

Step-by-step explanation:

[tex]4 = \frac{64}{y} [/tex]

but 64 is 4³:

[tex]4 = \frac{ {4}^{3} }{y} [/tex]

make y the subject:

[tex]y = \frac{ {4}^{3} }{4} [/tex]

from law of indices:

[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]

Answer:

x is less than or equal to 4. Not sure how you would type that out on the slide though. :\

Step-by-step explanation:

Answer:

1. (1, 2)

2. (-5, 7)

3. (-6, -5)

4. (0, -3)

Step-by-step explanation:

(1 - 4) Explanation:

If we're asked to move to the right, make the x-coordinate a positive number.

If we're asked to move to the left, make the x-coordinate a negative number.

If we're asked to move upwards, make the y-coordinate a positive number.

If we're asked to move downwards, make the y-coordinate a negative number.

Answer:

10n+(10 x 15)

or

(10 x n)+150

either way it would be 270

Answer: 17 and 23 (cm)

Step-by-step explanation:

Let c1 and c2 the side of thr squares.

[tex]\left\{\begin{array}{ccc}4*c_1+4*c_2&=&160\\c_1^2+c_2^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+(40-c_1)^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+-40c_1+391&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1&=&23\\c_2&=&17\\\end{array}\right.\ or\ \left\{\begin{array}{ccc}c_1&=&17\\c_2&=&23\\\end{array}\right.\\[/tex]