Math question 10 points help….

let the length of the ladder be x Using Pythagoras theorem, |hyp|^2=|opp|^2+|adj|^2

x^2=20^2+7^2

x^2= 400+49

x^2= 449

Square root of both sides:

√x^2= √449

x= 21.19ft

Thus, the length of the ladder is 21.19feet.

The simplified value of the given function  [tex]\dfrac{Sin^2\theta}{1+Cos^2\theta}[/tex]  will be equal to 1.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

The given function is:-

[tex]=\dfrac{Sin^2\theta}{1+Cos^2\theta}\\\\\\=\dfrac{Sin^2\theta}{Sin^2\theta}\\\\\\\ = 1[/tex]

Hence the simplified value of the given function  [tex]\dfrac{Sin^2\theta}{1+Cos^2\theta}[/tex]  will be equal to 1.

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Step-by-step explanation:

this is a nice parallelogram.

that means it has 2 pairs of equal and parallel sides (opposite of each other), 2 pairs of equal angles (also opposite of each other).

as in every quadrilateral the sum of all angles is 360°.

and because of the 2 pairs of equal (yet opposite) angles, every angle combines with one of its neighbors to 180°.

so,

(3x + 5) + (8x - 12) = 180

3x + 5 + 8x - 12 = 180

11x - 7 = 180

11x = 187

x = 17

and then the angle P is

3x + 5 = 3×17 + 5 = 51 + 5 = 56°

Answer:

384

Step-by-step explanation:

W x L x 2 + H x L x 2 + W x H x 2  = Formula for Surface area of a rectangular prism

9x12x2=216,  4x12x2=96, 9x4x2=72  Then add them all up

216+96+72=384

Brainly would help, thank you and have a good day.

FYI  I did not copy this took ten minutes to do pls no report...  thanks

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Surface area of a rectangular prism is ~

[tex]\qquad \sf  \dashrightarrow \: 2(lb + bh + lh)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \{(12 \times 9)+ (9 \times 4) +( 12 \times 4) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \{(108)+ (36) +( 48) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \{192\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:384 \: \: ft {}^{2} [/tex]

Answer:

Step-by-step explanation:

A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.

Finding z

z^2 + z^2 = (24√2)                    Combine the left

2z^2 = 24^2 * 2                         Divide both sides by 2

2z^2/2 = 24^2/2

z^2 = 24^2                                 Take the square root of both sides

√z^2 = √24^2

z = 24

Finding x and y

The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.

Tan 60 = opposite over adjacent

sqrt(3) = Perpendicular / z                      Multiply both sides by z

z*sqrt(3) = perpendicular

The above calculation tells us the perpendicular is 24

z*sqrt(3) = 24                                           Divide by sqrt 3

z = 24/√3

z = 24/1.73

z = 8√3

Finding x

Use Pythagoras to determine x

Perpendicular^2 + (8√3)^2 = x^2

24^2 + 8^2*3 = x^2

576 + 192 = x^2

768 = x^2

√x^2 = √768

x = 27.71

Answer:

10/6 = 10/6

 ↓

1 4/6 = 10/6

Step-by-step explanation:

5/6 + 5/6 = 10/6

                    ↓

                  1 4/6

10/6 ÷ 2 = 5/3

10/6 = 10/6

1 4/6 = 10/6

The vertex form of the given quadratic equation is:

[tex]y = 6*(x + 1)^2 - 16[/tex]

We have the quadratic equation:

[tex]y = 6x^2 + 12x -10[/tex]

First, we need to find the vertex. The x-value of the vertex is:

h = -12/2*6 = -1

To get the y-value of the vertex, we need to evaluate the function in h, so we get:

y = 6 - 12 - 10 = -16

Then the vertex is (-1, -16)

This means that the vertex form is:

[tex]y = 6*(x + 1)^2 - 16[/tex]

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Answer:

y = 6(x + 1)2 – 16.  D ON EDGE

Step-by-step explanation:

Answer:

2:26.

Step-by-step explanation:

There are 26 blocks total, and compared to the yellow blocks, there are only two. So that would be 2:26.

Answer:

2:26

Step-by-step explanation:

A ratio is just a mathematical way to show a relationship between things. I wrote it with a colon (:), but you can write it as a fraction or words "x to b."

Most of the time in math, the order of how the question is asked doesn't matter. When it's a ratio, it does matter. Because they ask about the yellow blocks first, that has to be the first part of the ratio.

There are 2 yellow blocks.

Next, it asks for the total. That will be the other part. Add all the total blocks together: 5+7+2+12= 26.

There are 26 total blocks.

Technically, we can simplify this down to 1:13, but it's not asking to simplify it, so let's just leave it as 2:26.

Answer:

The answers are

→ a. 15

→ b. 27

→ c. 4

→ d. 72

→ e. 2

→ f. 9

→ g. 1

Step-by-step explanation:

Given expressions:

a. 7 + 2³

b. 9 • 3¹

c. 20 - 2⁴

d. 2 • 6²

e. 8 • (1/2)²

f. 1/3 • 3³

g. (1/5 • 5)⁵

a. 7 + 2³

[tex]7+2^3[/tex]

[tex]2^3 = 8[/tex]

[tex]8 + 7 = 15[/tex]

Hence, 15 is your answer.

b. 9 • 3¹

[tex]9*3^1[/tex]

⇒ [tex]9*(3)[/tex]

⇒ [tex]27[/tex]

Hence, 27 is your answer.

c. 20 - 2⁴

[tex]20 - 2^4[/tex]

[tex]2^4 = 16[/tex]

[tex]20-16 = 4[/tex]

Hence, 4 is your answer.

d. 2 • 6²

[tex]2 * 6^2[/tex]

⇒ [tex]2*6^2[/tex]

⇒ [tex]2*(6*6)[/tex]

⇒ [tex]72[/tex]

Hence, 72 is your answer.

e. 8 • (1/2)²

[tex]8 * (\frac{1}{2})^2[/tex]

⇒ [tex]8*((\frac{1}{2})*(\frac{1}{2}))[/tex]

⇒ [tex]2[/tex]

Hence, 2 is your answer.

f. 1/3 • 3³

[tex]\frac{1}{3} * 3^3[/tex]

⇒ [tex]9[/tex]

Hence, 9 is your answer.

g. (1/5 • 5)⁵

[tex](\frac{1}{5} * 5)^5[/tex]

⇒ [tex]1*1*1*1*1[/tex]

⇒ [tex]1[/tex]

Hence, 1 is your answer.

Answer: 6x and 18y.

x x x x x x= 6x

30y - 12= 18y

Answer:   2.88 km.

Step-by-step explanation:

We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

                                  = 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

      = 36/60 Hour (Since we know, 1 hour = 60 minutes)

      = 3/5 hour

Distance = speed × time

           = 45 × (3/5) km

           = (45 × 3)/5 km

           = 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

                                     = 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken         = 3 hours 30 minutes

                        = 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

                                          = 70 × 7/2 km

                                          = 245 km.

5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

                     = 2880/1000 km.

                     = 2.88 km.

Hope this helps!

Answer: 157.5

Step-by-step explanation:

I would add 45 % again and you'd get 90 % or

150.00 the find 10 % of 75 which is 10*75/100 or 7.5

then add 150.00+ 7.5 = 157.5

Answer:

12

Step-by-step explanation:

i assume theres supposed to be an image along with the question but just choose the numberline that has 12 marks on it, with each mark being every 1/4

Answer:

901334 x 2368 = 2134358912 is the correct answer

Step-by-step explanation:

I hope this helps you :)

Answer:

Grace is correct. She needs 24 cups of lemonade.

Step-by-step explanation:

With the current ratio 4:3, if you were to have 24 cups of lemonade, then you would have 18 cups of sparkling juice. 24 + 18 = 42 total cups of punch.

Crackdown result: DFBG

[tex]\sf slope \ (m): \dfrac{y_2-y_1}{x_2-x_1}[/tex]

1)

[tex]\rightarrow \sf m = \dfrac{-13-19}{-1-3}[/tex]

simplify

[tex]\rightarrow \sf m=8[/tex]

2) take two points: (-1,-1), (0, 1)

[tex]\rightarrow \sf m = \dfrac{1-(-1)}{0-(-1)}[/tex]

simplify

[tex]\rightarrow \sf m = 2[/tex]

3) take two points: (1, -8), (2, -16)

[tex]\rightarrow \sf m = \dfrac{-16-(-8)}{2-1}[/tex]

simplify

[tex]\rightarrow \sf m = -8[/tex]

4)

[tex]\rightarrow \sf m = \dfrac{8-(-10)}{0-9}[/tex]

simplify

[tex]\rightarrow \sf m = -2[/tex]

#1

Slope

#2

Slope:-

#3

Slope

#4

Slope:-

Code is

If a person invests $50 in a business and gets a percentage increase of 10%, then he would have $55 as his final payout.

This refers to the financial activity where a person puts money or an asset into a business or venture to gain profit after a period of time.

Hence, we can see that since your question is incomplete as it does not include the initial amount of both Demarco and Tanya, then a final payout cannot be found.

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Answer:

143,152

Step-by-step explanation:

Answer:

There are a few solutions because there are some fractions and decimals between 8 and 10.

Step-by-step explanation:

Have a great day! Hope this helps!!

The angle k will be 100 in the triangle KJL and the side HI will be 4.

A triangle is a plane figure formed by the three sides having sum of the angles 180 degree.

Here in triangle KJL we can see that it is a isosceles triangle So the angle j and angle L will be 40.

Now we can solve

[tex]\angle L + \angle J + \angle K=180\\\\\\40+40+\angle K=180\\\\\\\angle k=180-80\\\\\\\angle k=100[/tex]

Now the side HI in the triangle HGI

We can see that the triangle HGI is the equilateral triangle so the all sides will be equal so

[tex]HI=IG=GH=4\[/tex]

Hence the angle k will be 100 in the triangle KJL and the side HI will be 4.

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Answer: = 18

Espero que esto te ayude.

Answer:

C) The corresponding sides are congruent.

Step-by-step explanation:

Option C is the correct answer.

Hope it helps you in your learning process.

Answer:

-1.118 is the required value of tan theta

Answer:

A) 75°

Step-by-step explanation:

It is the property of a polygon that the sum of the external angles is equal to 360°.

===============================================================

Solving :

⇒ p + 55 + 30 + 75 + 55 + 70 = 360

⇒ p + 85 + 130 + 70 = 360

⇒ p + 285 = 360

⇒ p = 360 - 285

⇒ ∠p = 75°

Answer :

A) 75°

because the property of polygon is equal to 360° the sum of external angles.

Hope it will help you

Answer:

30 miles because:

Step-by-step explanation:

10 x 6 = 60/1min

5 x 6 = 30miles

Answer: I believe I answered this on a later post.

Step-by-step explanation:

I did.

Answer:

Answer down below

Step-by-step explanation:

Answer:

[tex]k \: kk \: = \frac{515151}{333} [/tex]

Answer:

[tex](-3)^3[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{(-3)^4}{(-3)^1}=(-3)^{4-1}=(-3)^3[/tex]

Answer:

1307199.57

Step-by-step explanation:

Follow BEDMAS (brackets first, then exponents, then multiplication and division, then addition and subtraction)

587x6543÷285(32+65)

32+65=97

587 x 6543 ÷ 285 x 97

= 3840741 ÷ 285 x 97

= 13476.2842 x 97

= 1307199.57