A 5-m ladder is resting against a wall. The
base of the ladder is 2 m along the ground
from the base of the wall. What angle does
the base of the ladder make with the ground?
Express your answer to the nearest tenth of a
degree.

Answer:

Greater than 4.

Step-by-step explanation:

the answer is 6, and 6 > 4.

Have a good day! God bless! :D

Given:

The points are (0,3) and (1,-1).

To find:

The equation of line passes through these points.

Solution:

Standard form of a line is

[tex]Ax+By=C[/tex]

We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is

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

The line passes through (0,3) and (1,-1), so the equation of the line is

[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]

[tex]y-3=\dfrac{-4}{1}(x)[/tex]

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

Adding 4x and 3 on both sides, we get

[tex]4x+y=3[/tex]

Therefore, the standard form of the line is [tex]4x+y=3[/tex].

Answer:

Step-by-step explanation:

As per diagram, y = -9 for any value of x, so it is the line with equation:

Answer:

1] the original perimeter will be multiplied by three.

2} the original area will be multiplied by 9

Step-by-step explanation:

Answer:

6 times.

Exclamation:

You can do 15 divided by 2,50 to get you answer, when you do that you get 6.

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Answer:

Discriminant = -92

the equation has no distinct real numbers

Step-by-step explanation:

Given the function f(x) = 4x^2 + 2x + 6 where;

a = 4, b = 2 and c= 6

The discriminant is expessed as D = b^2 - 4ac

Substitute;

D = 2^2 - 4(4)(6)

D = 4 - 96

D = -92

Hence the discriminant is -92.

Since the discriminant is less than zero i.e D< 0, this shows that the zeros of the equation are not real but complex numbers. Hence, the equation has no distinct real numbers

Answer:

-92 is the discriminant

0 real value 0's

Step-by-step explanation:

Answer:

Step-by-step explanation:

The width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.

The problem states that the width of the basketball court (W) can be modeled by the equation:

W(A) = √(A/2)

where A is the area of the court in square feet.

Since the length (L) of the basketball court is twice the width (W), we can express it as:

L = 2W

Now, let's find the expression for the length (L) in terms of the area (A) of the court.

Step 1: Substitute the value of W from the given model into the expression for L:

L = 2 × √(A/2)

Step 2: Simplify the expression:

L = √(4A/2)

L = √(2A)

So, the expression for the length (L) of the basketball court in terms of its area (A) is given by L = √(2A).

To summarize, the width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.

To know more about width

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Complete question :- A community is building a new outdoor basketball court. The length of the court is twice the width. The width of the basketball court in feet can be modeled by w(A)= √A/2 where a is the area in square feet of the court.

Answer:

A: yes :)

Step-by-step explanation:

Answer:

PQR and VXW

Step-by-step explanation:

Answer:

wheres the pic

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

By inscribed angles, arc FPI = 2<FLI = 2*110 = 220. Since the entire arc of a circle is 360, we know that arc FLI + arc FPI = 360. Solving, we get arc FLI = 360 - 220 = 140.

I hope this helps!

Review & Answer:

Measuring with inches will give us inches. If you look at a ruler, inches are about a pinky finger. If 12 inches together, it is called a yard. If 3 feets are together, it is known as a yard foot

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

Answer:

[tex]644,000,000\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]

[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]

Answer:

when the #8 lines up with he 40

Answer:

Answer:

A

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, then

WT = VU = 21.3 → A

Answer:

The answer is "138.10"

Step-by-step explanation:

Let r also be cone base radius and h = the cone height.  

The radius for the original circle was on either side of the cone plied together = 7.  

The hypotenuse is 7, as well as a right triangle, is formed. So:

[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]

Calculating the volume of the cone:

[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]

   [tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]

[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]

Setting the derivative to zero and solving for h^2:

[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]

    [tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]

Calculating the maximum volume:

[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]

Answer:

6 cups of water

Step-by-step explanation:

A recipe calls for 3 cups of sugar and 9 cups of water. How many should be used with 2 cups of sugar?

The question above, is solved below:

3 cups of sugar = 9 cups of water

2 cups of sugar = x

Cross Multiply

3x = 9 × 2

x = 18/3

x = 6

Hence, 2 cups of sugar = 6 cups of water

Answer:

What does the "+8" mean in the expression 2x + 8?

The +8 is the 8 more advertisement orders received on Friday.

It's 8 more than x.

How many more advertisements were ordered on Friday than Thursday

8

The number of days

2

The number of advertisement ordered on Friday

x + 8

The total number of advertisement on both days

2x + 8

Answer:

A

Step-by-step explanation:

I took the test

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Use DESMOS graphing calculator

Here's the picture for the answer.

Hope this helped :)