D=rt What does T equal? Lol how is this possible

Answer:

Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.

Step-by-step explanation:

By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.

Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.

By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.

Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625

y^2-y^2+0.5y+2.25–4.0625=0

0.5y- 1.8125=0

0.5y=1.8125

y=1.8125/0.5= 3.625

Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder

Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625

L^2=13.140625–0.90625+4.0615=15.390625

L= (15.390625)^1/2= 3.92 meters length of ladder

hope it helps...

correct me if I'm wrong...

Answer:

(10, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 13 → (1)

x + 2y = 8 → (2)

Rearrange (1) making x the subject by adding 3y to both sides

x = 3y + 13 → (3)

Substitute x = 3y + 13 into (2)

3y + 13 + 2y = 8

5y + 13 = 8 ( subtract 13 from both sides )

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 3(- 1) + 13 = - 3 + 13 = 10

solution is (10, - 1 )

Given:

30-hour review course average a score of 620 on that exam.

70-hour review course average a score of 749.

To find:

The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

Solution:

Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

70-hour review course average a score of 749. So, the linear function passes through the point (70,749).

The linear function passes through the points (30,620) and (70,749). So, the linear equation is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]

[tex]y-620=\dfrac{129}{40}(x-30)[/tex]

[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]

[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]

Adding 620 on both sides, we get

[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]

[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]

[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]

We need to find the y-value for [tex]x=57[/tex].

[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]

[tex]y=183.825+523.25[/tex]

[tex]y=707.075[/tex]

[tex]y\approx 707.1[/tex]

Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.

Answer:

9 minutes

Step-by-step explanation:

Firstly they were in the same pace, Amy was walking while Frank was jogging.

then it will be 15 - 6 = 9

Step-by-step explanation:

Answer:

2\sqrt2

Step-by-step explanation:

a=5-2√6 ...(1)

[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]

[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]

Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

Step-by-step explanation:

2 colours were taken

Answer:

Yes, the triangles are similar by SAS

Step-by-step explanation:

Looking at the picture, we see that there are two triangles with side lengths of different sides. We can deduce that the scale factor is 1 2/3, because 8 divided by 4.8 is 1 2/3, and 10 divided by 6 is the same. Now that we have clarified that the triangles share the same scale factor, we notice that the angle is also the same, as mentioned in the picture. This leads us to say that the triangles are similar by the SAS similarity theorem (Side, Angle, Side). I hope this helped and please don't hesitate to reach out with more questions!

Answer:

There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.

Step-by-step explanation:

There are two alternative ways of describing the location of points on a plane:

(i) Polar coordinate system (a.k.a. Circular coordinate system).

(ii) Elliptic coordinate system.

Now we proceed to explain briefly the characteristic of each option:

Polar coordinate system: [tex](r, \theta)[/tex]

Where:

[tex]r[/tex] - Distance of the point with respect to origin.

[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)

Elliptic coordinate system: [tex](\mu, \nu)[/tex]

Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)

[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)

Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.

Answer:

D : [tex]x^{2} +81=x^{2} +20x+100[/tex]

Step-by-step explanation:

We start with the original equation:

[tex]\sqrt{x^{2} +81} =x+10[/tex]

Squaring both sides to remove the square root we get:

[tex]x^{2} +81=(x+10)^{2}[/tex]

Expanding the right side:

[tex]x^{2} +81=(x+10)(x+10)[/tex]

Multiplying the right side out and combining like terms we get:

[tex]x^{2} +81=x^{2} +20x+100[/tex]

Answer:

gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

Slope intercept Form equation : y = mx + b

m = slope or gradient

b = y - intercept ( where the line crosses the y = axis)

x and y = are place holders for a coordinate pair that makes the equation true

c) y = -6x + 8

The -6 is the m. It's the slope or gradient.

the + 8  is the b. It's the y- intercept.

d) y = 4

This is a horizontal line. It intercepts the y-axis at 4.

That means the 4 is the y-intercept.

There is no x. That means the slope is 0. The line rises 0 as it runs left to right.

e) y -4x= 0  

equation needs to be is standard form y = mx + b.

add 4x to both sides in order to isolate the y variable.

y = 4x + 0.

The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.

f) y -x = -8

Add x to both sides.

y = x - 8

There is one x.  That means the gradient is 1. The y-intercept is the -8

g) y + 3x = 7

Subtract 3x from both sides.

y = -3x + 7

-3 = gradient. 7 = y-intercept.

h) y + [tex]\frac{1}{2}[/tex]x = -4

Subtract [tex]\frac{1}{2}[/tex]x from each side.

y = -[tex]\frac{1}{2}[/tex]x - 4

One last thing. If you are presented with an equation without a y, the gradient is  'undefined'.

example : x = 4

This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.

Why is it 'undefined' ?

As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.

Hope this helps.

Answer:

[tex]\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{11} +\frac{5}{9}[/tex]

[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]

[tex]=\frac{-27+55}{99}[/tex]

[tex]=\frac{28}{99}[/tex]

[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x - 4 = 13[/tex]

[tex]➺ \: 3x = 13 + 4[/tex]

[tex]➺ \: 3x = 17[/tex]

[tex]➺ \: x = \frac{ 17}{3} [/tex]

[tex]➺ \: x = 5 \frac{2}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]➺ \: 3x - 4 = 13[/tex]

[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]

[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]

[tex]➺ \: 17 - 4 = 13[/tex]

[tex]➺ \: 13 = 13[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

(-4)+12+(-20)

= 12 + (-24)

= -12

Answer:

-12

Step-by-step explanation:

The solution is in the picture ^_^ I hope it helps

Answer:

it must be 21

Step-by-step explanation:

I have very fast I think giving test just thank the answer after test mark me brainliest

Total cases = total pallets x cases per pallet

Total cases = 60 x 10 = 600 cases

600 cases - 180 cases = 420 cases left

Answer: 420 cases

In between 2000 and 90000

Don't use a 2

Answer:

cant download send ss

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - y = 30

Substitute 15 for y.

x - (15) = 30

Add 15 to both sides.

x = 45

Answer:

11.7…?

Step-by-step explanation:

Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem

Answer:

a. 360°

b. 540°

Step-by-step explanation:

a The sum of the exterior angles of any n-sided polygon is always 360°. Therefore:

a + b + c + d + e = 360°

b. Sum of interior angles of an n-sided polygon is given as (n - 2) × 180

The polygon, QRTXW is a 5 sided polygon, therefore n = 5.

Plug in the value of 5 into the equation:

Sum of interior angles of QRTXW = (5 - 2) × 180

= 3 × 180

= 540°

The ordered pairs of the transformation are A'(1,2), B'(1,-2), C'(-2,2) of the coordinates of the triangle ABC are A(2,3),B(2,-1),C(-1,-1).

What is meant by coordinates?

They are the points which together when jointed form a triangle.

How to do transformation of a triangle?

The transformation of triangle whose coordinates are as A(2,3), B(2,-1), C(-1,-1) is done as follows:

A'=(2-1,3-1)=(1,2)

B'=(2-1,-1-1)=(1,-2)

C'=(-1-1,-1-1)=(-2,-2)

Hence the ordered pairs are (1,2)(1,-2)(-2,-2).

Learn more about transformation of a triangle at https://brainly.com/question/4289712

#SPJ2

Answer:

Step-by-step explanation:

If each CD at store A costs $.70, then 20 of them will cost 20(.7) = $14.

If each CD at store B costs $.60, then 20 of them will cost 20(.6) = $12.

The correct statement is that The cost at Store A is $2.00 greater than at Store B.

Answer:

3/20 of a cup of sugar

Step-by-step explanation:

Find how much she sprinkled on the brownies by multiplying 3/4 by 1/5:

3/4 x 1/5

= 3/20

So, she sprinkled 3/20 of a cup of sugar on the brownies