Please help me solve 9 and 10 ASAP please

Answer:

[tex]\rm \dfrac{\sqrt2}{2}[/tex]

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

[tex]\rm\implies cos\theta =\dfrac{base}{hypotenuse} [/tex]

In the given triangle ,

On substituting the respective values ,

[tex]\rm\implies cos45^\circ =\dfrac{1}{\sqrt2} [/tex]

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

[tex]\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)} [/tex]

Simplify ,

[tex]\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}[/tex]

Answer:

to complete the square, you add (b/2)^2  on both side. in this case, b is -6, half of -6 is -3, -3 squared is 9, so:

x^2-6x+9=-13+9

(x-3)^2=-4

This quadratic equation have unreal solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

To complete the square, divide the coefficient of x by 2.

6 /2 = 3

Take square of 3 and add to both sides

3*3 = 9

x² - 6x + 9 = -13 + 9

x² - 6x + 9 = -4

(x - 3)² = -4

Answer true

Step-by-step explanation:

true

Answer:

94 m

Step-by-step explanation:

Sea L definido como

L = la longitud del rectángulo, en unidades de metros.

Así, según el Teorema de Pitágoras, tenemos que

12 ^ 2 + L ^ 2 = 37 ^ 2

L ^ 2 = 37 ^ 2-12 ^ 2

L ^ 2 = (37 - 12) (37 + 12)

L ^ 2 = 25 * 49, de modo que

L = 5 * 7 = 35.

Por lo tanto, el perímetro = 2L + 2W = 2 (L + W) = 2 (35 + 12) = 2 (47) = 94 m

Answer:3

Step-by-step explanation:Its really easy?

A complementary angle is 90 degrees. The ratio is 2:3 so the equation would be:

2x+3x=90

5x=90

x=18

One of the angles would be 2(18) or 36 degrees and the other angle would be 3(18) or 54 degrees.

36+54 is equal to 90 degrees so it checks out.

The polygon is 5 units in length and not 4

so using the given formula P = 2l + 2w

(2 x 5) + (2 x 3)

10 + 6

= 16 units

Use function notation to represent this statement:

At 1 p.m., there were 257 visitors in the museum.

Answer:  V(4)=257

Explanation: It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time.

The solution to the system of equations is x≤ -4 and x > 2. Find the number line attached below:

Given the set of inequalities expressed as;

x + 1 ≤ -3 or -4x < -8

For the inequality expression x + 1  ≤ -3

x  ≤ -3 - 1

x ≤ -4

For the inequality expression:

-4x < -8

Divide both sides by -4

-4x/-4 > -8/-4

x > 2

Hence the solution to the system of equations is x≤ -4 and x > 2. Find the number line attached below:

Learn more here: https://brainly.com/question/15816805

Answer:

sentence 2?

Step-by-step explanation:

sentence 1 provides background for the question, sentence 2 provides background for the graph, and sentence 3 is the question.

If you wanted the answer to the question:

8:4 = 2:1

Answer:

i'd say C, reason being is because the origin is not directly on the point, so the dilation moves up 1.5

Step-by-step explanation:

Answer:

7.5m

:) hoped this helped!

Step-by-step explanation:

Answer:

the answer is low of contrapositive

Answer:

a k= and y=15

B . k=1 and y=5

Answer:

8(2x-1)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

349 ---100%

x ------ 20%

x= (349×20)÷100

x=69.8

349-69.8=279.2

279.2 ---100%

x-----7%

x=(279.2×7)÷100

x=19.54

Final result

279.2+19.54=298.74

And final result is B

The total price of the television is B. $297.74

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$349 \times (1- 0.20) + \$349 \times (1- 0.20) \times 0.07)\\\\= \$279.20 + \$19.544[/tex]

= $297.74

Learn more: brainly.com/question/17429689

Answ

tep-by-step explanation:

Answer:

-4/5 will be bigger.

Step-by-step explanation:

This is true as -4/5 is equal to -.8 compared to -.888888888.

Answer:

bedroom is 12ft which is equal to 6ft on left of bathroom if we add 6 +6=12 because it is rectangle and bathroom is square and square have 4 equal sides so both sides are 12ft

Answer:

w = 18cm

Step-by-step explanation:

Using the formula

P = 2 (l + w)

Solving for w

w = P

2﹣l = 82

2﹣23 = 18cm

Answer:

the ans is..... 10.75 km......

Answer:

on day 6

Step-by-step explanation:

you would multiply

__________

[tex] \: [/tex]

[tex] \frac{x + 2}{x - 1} = ...[/tex]

[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]

[tex] \longmapsto \frac{2}{ - 1} [/tex]

[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]

Answer:

y-4 =-5(x+1)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-4 = -5(x- -1)

y-4 =-5(x+1)

Answer:

y-4 = -5 (x- (-1))

Step-by-step explanation:

blank 1 = -4

blank 2 = -5

blank 3 = -1

Answer: 270

Step-by-step explanation:

1) Find DE

1 : 6

17 : x

Cross multiply

x = 17 * 6

x = 102

DE = 102

2) Compare the two triangles

1st (ABC)

side = 45

base = 17

2nd (ADE)

side = x

base = 102

[tex]\frac{x}{45} = \frac{102}{17}[/tex]

Cross multiply

17x = 102 x 45

17x = 4590

x = 4590/17

x = 270

AD = 270

Answer:

Well, 1 gallon is 4 quarts so if Finn lives in a ½ Gallon tank divide 10 by 0.5 and you get 20, so his new tank is 20 times bigger than his old bowl.

Step-by-step explanation:

Math rocks! Have fun!

Answer:

126

Step-by-step explanation:

35/5 = 6.

6 is the number in 1 day

6x21=126

126 is the number in 21 days

Hope that helps

Answer:

x= 5.75$

Step-by-step explanation:

23 divided by 4 = 5.75$ (without the discount it is 10.75$)

Answer:

each ticket=$7.

x=7

Step-by-step explanation:

The total price of your tickets AFTER applying your $5 discount was 23.

Therefore, the price of 4 tickets would be 23+5, aka 28.

We can first begin with,

4x-5=23

4x=23+5

4x=28

x=7.