Please help on geometry

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:

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

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

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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:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

Answer true

Step-by-step explanation:

true

Answer:

The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.

Step-by-step explanation:

I hope this will help you

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:

Slope: 2/7

Step-by-step explanation:

y2 - y1/ x2 - x1 = 2/7

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:

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

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.

Answ

tep-by-step explanation:

Answer:

a k= and y=15

B . k=1 and y=5

Answer:

a. For every +1 input in x, y goes up 4 times plus 7.

b. y= 4x+7

c. 35

d. 6

Step-by-step explanation:

How to do c.

y=4x+7

y=4(7)+7

y=35

How to do d.

y=4x+7

31=4x+7

24=4x

x=6

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.

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

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

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.

We have been given the opposite and hypotenuse so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

Substitute in the values

sin (x) = 9 ÷ 15

Simplify

sin (x) = 0.6

Rearrange to find x

x = sin^-1(0.6) - Type this into your calculator

x = 36.8698... ≈ 36.9°

Answer:

im really confused. but its 2,75$ per pass?/ride? sorry i cant help much

Step-by-step explanation:

Answer:

7.5m

:) hoped this helped!

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

3(n+1) = 3n+3.

3n+3-5 = 3n-2.

3n-2 doesn't equal 3n-1, so there are no solutions.

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:

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:

the answer is low of contrapositive

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1:

-5y = 3x + 7

y = -3/5x - 7/5

Line 2:

y = -5/3x + 8

Line 3:

6x - 10y = -4

-10y = -6x - 4

y = 3/5x + 2/5

Line 1 and Line 2 are neither perpendicular nor parallel. While their slopes are reciprocals of each other, the signs are not opposite (both are negative).

Line 1 and Line 3 are neither perpendicular nor parallel. While the slope itself is the same, the signs are different.

Line 2 and Line 3 are perpendicular. Their slopes are opposite reciprocals of each other.

Hope this helps!! :)

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:

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