The smallest number when subtracted from the difference of the square of 29 and 22 gives a perfect square is​

Answer:

168000

Step-by-step explanation:

5/14 to the son.

that leaves 9/14 of the total.

these 9/14 we need to split into 1/3rds, as 2/3 of these 9/14 go to the daughter, and then the remaining 1/3 of these 9/14 to the wife.

how do we do that ?

well, here it is simple, as we see right away that the numerator 9 can be easily split into 1/3rds (9/3 = 3).

but in general by multiplying. so 2/3 of 8/14 is

9/14 × 2/3 = 9×2 / 14×3 = 3×2 / 14 = 6/14

and then little surprising 1/3 is

9/14 × 1/3 = 9 / 14×3 = 3/14

now, we know, these 3/14 are 36000.

what we need to know is how much is 14/14 or 1/1 : the whole amount.

well, the easiest way in my opinion is now to bring it to 1/14 (by dividing by the numerator 3) and then multiply it by 14 (the denominator) to bring the sum to the whole (14/14).

it in total, multiply it with the reverse fraction : 14/3

36000 × 14/3 = 12000×14 = 168000

Answer:

480

Step-by-step explanation:

Let x be the calories in 4 cups

Set it up

[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]

Step 1: Switch sides

[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]

Step 2: Apply fraction rule

[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]

Multiply

[tex]\frac{x}{4}=\frac{360}{3}[/tex]

Divide

[tex]\frac{x}{4}=120[/tex]

Step 3: Multiply both sides by 4

[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]

There are 480 calories in 4 cups of the cereal.

Answer:

Subtract 6 from both sides and then divide by 2. The solution is x = 8.

                                                  Thank You

Answer:

x=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

Answer:

i) yes

ii) it splits MN in half (bisector)

Step-by-step explanation:

We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).

(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).

Answer:

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

48.2

Step-by-step explanation:

We have a right angle so we can do our three trig ratios,

Sine Cosine Tangent

Remeber SOHCAHTOA.

We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.

[tex] \cos(theta) = \frac{36}{54} [/tex]

[tex] \cos(theta) = \frac{2}{3} [/tex]

Take the inverse of both sides

[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]

Theta is equal to

[tex]48.2[/tex]

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

Answer:

It’s A.

Step-by-step explanation:

Took the test and got it right

Answer:

x=4.2

Step-by-step explanation:

29-3=5x+5

21=5x, x=21/5=4.2

Answer:

c) 3.78

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We don't know the height of the building, and it's changeable because we multiplied it by 1/2, also, the rest of the values are revealed, so the answer is A.

Answer:

-2 < x <= 0

Step-by-step explanation:

Isolate the variable.

-4 < 3x + 2 <= 2

Subtract 2 from each side.

-6 < 3x <= 0

Divide both sides by 3

-2 < x <= 0

Step-by-step explanation:

[tex]275 \times 5 = 1375 [/tex]

The rate of the motorboat on still water is 1375

[tex]405 \times 5 = 2025[/tex]

The current rate of the motorboat is 2025

Let distances be x

ATQ

[tex]\\ \rm\hookrightarrow \dfrac{3}{4}x=45[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{3x}{4}=45[/tex]

[tex]\\ \rm\hookrightarrow 3x=45(4)[/tex]

[tex]\\ \rm\hookrightarrow 3x=180[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{180}{3}[/tex]

[tex]\\ \rm\hookrightarrow x=60[/tex]

Answer:

34343434343434343434

Step-by-step explanation:

7x - 5 = 8

7x = 8 + 5

7x = 13 (divide both sides by 7 to get x)

7x/7 = 13/7

x = 1.85714285714

The distance between the two points (7, - 1) and (9, - 9) is,

d = √68

We have to given that,

To find the distance between the two points (7, - 1) and (9, - 9)

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

The distance between the two points (7, - 1) and (9, - 9) are,

d = √ (9 - 7)² + (- 9 + 1)²

d = √4 + 64

d = √68

Therefore, the distance between the two points (7, - 1) and (9, - 9) is,

d = √68

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ7

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

Answer:

0.12121212121212

Answer:

0.12121212...

Step-by-step explanation:

4÷33

Answer:

please mark me brainliest

Step-by-step explanation:

-6÷3×2+3÷3

using Bodmas(bracket of division multiplication addition and subtraction)

-2×2+1

-4+1

-3

Answer:

You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.

then g(x)=2x+2

Answer:

the answer for this question is 5.51

Answer:

1. 8t+4v

A.9v+7t+6

S.14v+7t

Answer:

Step-by-step explanation:

We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.

It can be continued by adding 6 to the last number:

72,78,84,90..are in AP

[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]

[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]

Answer:

[tex]⚪ \: \: 16.5u + 9.8[/tex]

Step-by-step explanation:

[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]

Answer:

11x^2-8x-14

Step-by-step explanation:

(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14

Answer:

11x^2-8x-14

Step-by-step explanation:

2x^2- 8x– 6 and 9x^2-8

solution:

2x^2- 8x– 6 +(9x^2-8)

=2x^2-8x–6+9x^2-8

=2x^2+9x^2-8x-6-8

=11x^2-8x-14