A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of the ladder from the base of the wall?

Answer:

X= 4y+13/5

Y=5x-13/4

Step-by-step explanation:

Answer:

14 units

Step-by-step explanation:

In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?

Solution:

A triangle is a shape with three sides and three angles. Types of triangles are isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.

Two triangles are said to be congruent if all the corresponding three sides and three angles of one triangle is equal to the corresponding three sides and three angles of the other triangle.

Triangle SRV and triangle RQV are congruent triangles by side angle side congruency (i.e. SR = RQ, RV ≅ RV and ∠SRV = ∠QRV = 90°). Therefore:

SV = QV

4x - 1 = 15

4x = 16

x = 4 units

Triangle SRT and triangle RQT are congruent triangles by side angle side congruency (i.e. SR = RQ, TR ≅ TR and ∠SRT = ∠QRT = 90°). Therefore:

TQ = TS

3x + 2 = TS

TS = 3(4) + 2 = 12 + 2

TS = 14 units

Given:

For cylinder P: radius = 4.25 in. and height = 14 in.

For cylinder Q: radius = 7 in. and height = 8.5 in.

To find:

The volume of each cylinder.

Solution:

Volume of a cylinder is

[tex]V=\pi r^2h[/tex]

where, r is radius and h is height. Use 3.14 for [tex]\pi[/tex].

Using the above formula, the volume of cylinder P is

[tex]V_P=(3.14)(4.25)^2(14)[/tex]

[tex]V_P=794.0275[/tex]

[tex]V_P\approx 794.03[/tex]

Using the above formula, the volume of cylinder Q is

[tex]V_Q=(3.14)(7)^2(8.5)[/tex]

[tex]V_Q=1307.81[/tex]

Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.

The volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The given information is

For cylinder P:

radius = 4.25 in. and height = 14 in.

For cylinder Q:

radius = 7 in. and height = 8.5 in.

To find the volume of each cylinder.

The volume of a cylinder

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

where r is radius and h is height.

Using the above formula,

the volume of cylinder P

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

[tex]V = 3.14 \times (4.25)^2 \times 14 \: \rm unit^3\\\\V = 794.03[/tex]

The volume of cylinder Q

[tex]V = \pi r^2 h \: \rm unit^3\\\\V = 3.14 \times 7^2 \times 8.5 \: \rm unit^3\\\\V =1307.81[/tex]

Therefore, the volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.

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Answer:

4

Step-by-step explanation:

The answer is 4: learning how to take an organized notes for class.

Answer:

The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1

Step-by-step explanation:

I hope this helps :)

Answer:

do you have a picture of it for reference?

Answer:

91°

Step-by-step explanation:

x and 89 are linear equations

180 - 89 = 91

x = 91

Answer:

0

Step-by-step explanat

Answer:

0 mn

Step-by-step explanation:

First you would write the equation 2+(-4)+8+(-6)

Now let’s solve starting from the left.

2+(-4) = -2

This is the equation so far: -2+8+(-6)

Then you would solve the right side 8+(-6) = 2

Now we have -2 + 2 which equals 0.

PS. You can also do in another way like 2-4+8-6. It’s the same method and concept.

Hope this helps!

Answer:

x = 12

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 81 = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

Rule 3

Step-by-step explanation:

The values correspond to the equation y=3^x

Answer: (-3,3)

Step-by-step explanation:Answer: (-3,3)

Step-by-step explanation: P= IRT solve for T To solve for T, you must get T on it's own on one side of the equals sign, with all the other terms on the other side. IRT means that I and R are multiplied by T. To get rid of them we must do the opposite of multiply, which is divide. But because this is an equation, anything we do on one side of the equals sign, must be repeated on the other side. So if we divide the right side by IR, we must also divide the left side by IR

Answer:

Answer is LOG 10 and 1

Step-by-step explanation:

The equivalent expressions to [tex]lne[/tex] are, B. 1 and C.log 10

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, A logarithmic equation [tex]ln_ee[/tex], This in exponential form is, [tex]e^? = e[/tex].

We know, [tex]e^? = e[/tex], e to the what power should be e it should be 1.

Therefore, [tex]ln_ee = 1[/tex].

Similarly, [tex]log_{10}10[/tex] is 10 to the what power is 10 we know 10 to the power 1 is 10.

Therefore, [tex]log10[/tex] is 1.

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Answer:

5:20

12:48

11:44

Step-by-step explanation:

I just multiplied them by 4

Answer:

We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]

Step-by-step explanation:

Given the line

y+2x=4

converting into the slope-intercept form y = mx+b where m is the slope

y = -2x+4

comparing with the slope-intercept form

Thus, the slope is: m = -2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2

The slope of the new line perpendicular to the given line = – 1/m

                                                                                                = -1/-2 = 1/2

Using the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (-3, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=\frac{1}{2}\left(x-\left(-3\right)\right)[/tex]

[tex]y-5=\frac{1}{2}\left(x+3\right)[/tex]

Add 5 to both sides

[tex]y-5+5=\frac{1}{2}\left(x+3\right)+5[/tex]

[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]

Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]

Answer:

39 ?

Step-by-step explanation:

Answer:

B- Weak association, negative correlation

Answer:

b

Step-by-step explanation:

Answer:

2 now mqrk MEEEE

Step-by-step explanation:

Answer:

ABC is isosceles

Step-by-step explanation:

Answer:

The two points are (0,1) and (0.75, 0)

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

[tex]p + ( - q)[/tex]

Step-by-step explanation:

These properties might benefit you.

[tex]x - y = x + ( - y) \\ x + y = x - ( - y) [/tex]

Negative Multiply Negative must equal Positive.

Positive Multiply Negative equal Negative.

Therefore p-q is equivalent to

[tex]p - q = p + ( - q)[/tex]

Answer:

x = 1

Step-by-step explanation:

x = 1

y intercept = 6

slope = -6

Answer:

c dependent on s

Step-by-step explanation:

c is dependent on s and s can be any value

Answer:

y=4

Step-by-step explanation:

first you have y=mx+b

then b=4

and m=0

so it is

y=0x+4

or y=4

Answer:

hold

Step-by-step explanation:

Answer:

a. or [tex]\frac{3}{-2}[/tex]

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

[tex]\frac{2-(-1)}{-3-(-1)}[/tex]

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

[tex]\frac{3}{-2}[/tex]

Answer:

what do you need to be answered..