A 6 ­foot ladder is placed against a wall with its base 2 feet from the wall. How high up the wall is the top of the ladder?

Given Equation :-

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 5(p-3) = 63}[/tex]

We are asked to find the value of p in the above equation.

First multiply (p-3) by 5 –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5 \times p - 5 \times 3 = 63[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - 15 = 63[/tex]

Now, add 15 to both sides –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p -15 +15 = 63 +15 [/tex]

Now, we can cancel 15 from Left side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - \cancel{15 }+\cancel{15 }= 63 +15 [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p = 78[/tex]

Divide both sides by 5–

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{5p}{5} = \dfrac{78}{5}[/tex]

Cancel 5 from left side also cancel 78/5, which can be divided by 15.6.

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{5}p}{\cancel{5}} =\cancel{\dfrac{ 78}{5}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow p = 15.6}[/tex]

Given :

To Find :

Solution :

[tex]\qquad\sf{ { \dashrightarrow{ 5(p - 3) = 63}}}[/tex]

Using Distributive property, we get :

[tex]\qquad\sf{ { \dashrightarrow{ 5p - 15 = 63}}}[/tex]

Now, Transposing (-15) to the right side, which then becomes positive :

[tex]\qquad\sf{ { \dashrightarrow{ 5p = 63 + 15}}}[/tex]

[tex]\qquad\sf{ { \dashrightarrow{ 5p = 78}}}[/tex]

Dividing 5 from both sides we get :

[tex]\qquad\sf{ { \dashrightarrow{ \dfrac{5p}{5} = \dfrac{78}{5} }}}[/tex]

[tex]\qquad\bf{ { \dashrightarrow{ p = 15.6 }}}[/tex]

⠀

Answer: y=4/3x -3

Therefore the slope is 4/3

Step-by-step explanation:

distribute your x to the other side and divide

Answer:

4/3

Step-by-step explanation:

8x-6y=18

-6y=18-8x

divide all terms by -6

y=-3+4x/3

y=4x/3 -3

y=4/3x -3

slope 4/3

Answer:

c ≈ 70.7

Step-by-step explanation:

Solve using the Pythagorean theorem:

-Chetan K

Answer:

93

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. The given measures, 37 and 56, sum up to 93. 180-93 = 87. This means the last interior angle is 87 degrees. But, the degree measure of a straight line is also 180 degrees, so 180-87 is 93, the answer.

The right-angle triangle shows this condition. Then the value of angle x is 30.80°.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The expression is given as

[tex]\rm x = \rm tan ^{-1} \dfrac{3.1}{5.2}[/tex].

We know that the tangent is the ratio of the perpendicular to the base of the right-angle triangle.

x will be the angle and the opposite side of the x will be the perpendicular of lengths 3.1 and 5.2 will be the base of the that is along the angle x.

The value of x is 30.80°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

y=2x+6

Step-by-step explanation:

Slope intercept form is:

y=mx+b

m: slope

b: y-intercept

We can start by solving for the slope. The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):

[tex]Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2[/tex]

y=2x+b

Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):

y=2x+b

6=2(0)+b

6=0+b

b=6

Therefore the equation is:

y=2x+6

Answer:

1. 5 <3rd side<21 2. 12.1<3rd side<35.1

Step-by-step explanation:

Answer:

1: 5 < 3rd side <21

2: 12.1< 3rd side < 35.1

3: 7<3rd side < 37

4: 6.5 < 3rd side 19.9

5 : 21 < 3rd side 67

Step-by-step explanation:

For example you have 5 and 10

you take 5 + 10 to get your side and you do

the biggest number - the smaller number to get the _ <3rd.

So if you have 5 and 10 you know that it would be 5 < 3rd side < 15

Answer:

Jake sells 7 muffins at the bake sale.

Step-by-step explanation:

If Jake sells 25 fewer muffins than Carlos, you must subtract the number of muffins Jake sells from the number of muffins Carlos sells.

32-25 = 7

Answer:

1/4 or .25

Step-by-step explanation:

y value is increasing by 1 between each point while x is increasing by 4

slope = rise over run or 1/4 in this case

Answer:

  (a) 315°

  (b) 3°

  (c) 238°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

The bearing of P from R is 180° different from the bearing of R from P it will be ...

  135° +180° = 315° . . . . bearing of P from R

__

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

  315° +48° = 363°, or 3° . . . . bearing of Q from R

__

The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...

  180° -48° -55° = 77°

The bearing of Q from P is 77° less than the bearing of R from P, so is ...

  135° -77° = 58°

As above, the reverse bearing from Q to P is ...

  58° +180° = 238° . . . . bearing of P from Q

Answer:

it would be the first one!

Step-by-step explanation:

Answer:

620.5 is correct due to my knowledge. :3

Step-by-step explanation:

Answer:

x < 7/2

Step-by-step explanation:

Answer:

there is a 3/11 chance or a 27.272727272% chance

Answer:

15200 cm²

Step-by-step explanation:

from inspection of the diagram, we can see that the prism comprises:

Triangle

Area of triangle = 1/2 x base x height

Given:

⇒ area = 1/2 x 60 x 40 = 1200 cm²

Base rectangle

Area of a rectangle = width x length

Given:

⇒ area = 60 x 80 = 4800 cm²

Side rectangle

Area of a rectangle = width x length

Given:

⇒ area = 50 x 80 = 4000 cm²

Total area = 2 triangles + base rectangle + 2 side rectangles

⇒ total area = (2 x 1200) + 4800 + (2 x 4000) = 15200 cm²

Answer:

x=115

Step-by-step explanation:

I hope this helps you!!

Answer:

x=3.42

Step-by-step explanation:

[tex] \sin(20) = \frac{x}{10} [/tex]

[tex]x = 10 \sin(20) = 3.42[/tex]

Answer:

x = 3.420 (to the nearest hundredth)

Step-by-step explanation:

Trig ratios:

sin(x) = O/H

cos(x) = A/H

tan(x) = O/A

where x is the angle, O = side opposite the angle, A = side adjacent to the angle, H = hypotenuse

We have been given:

angle = 20°

opposite side to angle = x

hypotenuse = 10

Therefore, we should use sin(x) = O/H

Substituting the above values into the trig ratio:

⇒  sin(20) = x/10

⇒  x = 10 sin(20)

⇒  x = 3.420 (to the nearest hundredth)

Answer:

y = 6°

x = 19.4°

Step-by-step explanation:

Use alternating interior angles

The angle adjacent to 5x + 3 is equal to 58 because of alternating interior angles.

58+100+3y+4 = 162 + 3y

162 + 3y = 180

3y = 18

y = 6

The two base angles are equal because the two lines are parallel

5x + 3 = 100

5x = 97

x = 19.4

Hope this helps :)

Have an awesome day!

Answer:

$29.7

Step-by-step explanation:

10 percent of 27 is 2.7 then you add 27 and 2.7 and you get 29.7

Answer:

Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality.

The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.

Answer:

p2 - 12p - 27

Step-by-step explanation:

mark me brainiest

Answer: ( P - 9 ) ( p - 3)

......Should be ur answer. have a wonderful day kind person!!!!!

Answer:

inverse: [tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]

                                            explanation:

Given: f(x) = [tex](x^5 +5)^{\frac{1}{3} }[/tex]

let f(x) be y

y =  [tex](x^5 +5)^{\frac{1}{3} }[/tex]

To find inverse, make x the subject.

[tex]y^3 = x^5 + 5[/tex]

[tex]y^3 - 5 = x^5[/tex]

[tex]x = \sqrt[5]{y^3 - 5}[/tex]

change signs:

[tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]

Answer:

[tex] \frac{1}{2} [/t

Step-by-step explanation:

[tex]( \frac{6}{4} - \frac{2}{4} ) \times (2 \times \frac{1}{2} )[/tex]

[tex]( \frac{6 - 2}{4} ) \times ( \frac{2 - 1}{2} )[/tex]

[tex] \frac{4}{4} \times \frac{1}{2} [/tex]

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

Answer:

A. MO/SA = OE/AW

Step-by-step explanation:

A. would be your correct answer because if you analyze the triangles you can see that the similar sides would be MO and SA, OE and AW, and ME and SW. In all of the answers, they compare sides that arent similar like OE/SW. However, in the first answer, the sides they compare are indeed similar, as you can see by what I listed above. These sides are similar because they are both the adjacent and opposite sides of each triangle.

Hope this helps! :)

Answer:

[tex]y = (5 + x)^2[/tex]

Step-by-step explanation:

"The square of the sum of x and 5 is equal to y."

Let's use our clue words that indicate what our equation will be.

Let's start easy, equal to y.

y =

Now let's look at the rest of the sentence minus the phrase we just used.

The square of the sum of x and 5.

The sum of x and 5 goes first,

x + 5

and since we are looking for the square of x + 5:

(5 + x)^2

therefore,

[tex]y = (5 + x)^2[/tex]

Answer:

square of y looks like y2

five times y2is written 5y2

square of x looks likes x2

usually, a mathematical expression is written in alphabetical order x2+5y2

Kayla-

HOPE I GET BRAINLIEST!

The amount of money Candy started with after spending on drinks and cakes is £7.95

She bought a drink for £1.45 and a piece of cake for £1.20.

She has two thirds of here money left.

Let the money she has initially  = x

Therefore,

2 / 3 x = x - 1.45  - 1.20

2 / 3 x = x - 2.65

subtract x from both sides

2 / 3 x - x = - 2.65

2x - 3x / 3 = - 2.65

- x / 3 = - 2.65

cross multiply

-x = - 2.65 × 3

- x = -7.95

x = £ 7.95

Therefore, Candy started with £7.95

l

earn more on amount here: https://brainly.com/question/16969113

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The organization of the numbers in the triangles would look like this from top to bottom and from right to left: 2, 8, 4, 9, 3, 5, 7, 6, 1.

To organize the numbers we must take into account the final result that the sections highlighted in color, green, red and yellow, must add.

A key to being able to organize the numbers correctly was taking into account that the largest numbers could not be in the same section because they would add up to more than the required final number, 22.

According to the above, the distribution of the numbers was carried out in the following way and all the results coincide:

Red section:

Green section:

YellowSection:

Learn more about sums in: https://brainly.com/question/13013054

Answer:

5

0.1

10

10

Step-by-step explanation:

|actual temp - estimate| = |50 - 45| = |5| = 5

5/50 = 0.1

0.1 × 100 = 10

10

Answer:

x=15

Step-by-step explanation:

divide 20 by 8 and you get 2.5

multiply 2.5 by 6