Graph the solution to this inequality on the number line.

1/4x − 2 < − 1 1/2

Answer:if a triangle is a right triangle, then the sum of the squares of the lenghts of the legs is equal to the square of the length of the hypotenuse.

- a property of all triangles with a right-angle (an angle of 90°)

Step-by-step explanation:

Zach is trying to find out the hypotenuse value of the right-angle triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The Pythagorean theorem states that "in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides".

Zach is most likely trying to find the length of the hypotenuse of a right triangle, which is the side opposite the right angle, given the lengths of the other two sides.

In this case, given 32 inches, 20 inches, and 20 inches values, he's trying to find out the hypotenuse value of the right-angle triangle.

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Answer:

please give options.

Step-by-step explanation:

The number of inches is what ?

Step-by-step explanation:

l = 12 metres

b = 15 metres

diameter of semicircle = length = 12 m

radius = 12/2 = 6 cm

area of the figure = area of rectangle + area of semi circle

= l × b + πr²

= 12 × 15 + 3.14 × 6²

= 180 + 113.04

= 293.04 m²

The perimeter of the figure is 60.84 meters.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the width and height of the rectangle are 15 meters and 12 meters respectively.

Note that the diamter o he semicircel is 12 meters.

The radius of the semicircle is:

12/2

= 6 meters

The perimeter of the figure is given by:
15 + 12 + 15 + π(6)

= 42 + 3.14×6

= 60.84

Hence, the perimeter of the figure is 60.84 meters.

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Answer:

the cable is  2\sqrt{41} meters long

Step-by-step explanation:

after drawing out the lengths given, you can see that you need to find the hypotenuse of a triangle with legs 10 and 8 meters long.

10^2+8^2=164

sqrt of 164 is [tex]2\sqrt{41}[/tex]

Answer:

[tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)

Step-by-step explanation:

This can be modeled as a right triangle, with:

The length of the cable is the hypotenuse.

Using Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

[tex]\implies 8^2+10^2=c^2[/tex]

[tex]\implies 164=c^2[/tex]

[tex]\implies c=\sqrt{164}[/tex]

[tex]\implies c=\sqrt{4 \cdot 41}[/tex]

[tex]\implies c=\sqrt{4} \sqrt{41}[/tex]

[tex]\implies c=2\sqrt{41}\: \sf m[/tex]

Therefore, the length of the cable is [tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)

Answer:

1/7 + 2/7 * 1/4 = 3/14, therefore your answer is, B.

Step-by-step explanation:

I added 1/7 and 2/7 then multiplied it by 1/4 and got 3/14!

Answer:

B

Step-by-step explanation:

1/7 + 2/7 x 1/4

Bodmas

1/7 + 2/7 x 1/4

1/7 + 1/7 x 1/2

1/7 + 1/14

LCM = 14

2 + 1 3

--------- = -------

14 14

Answer:

-2299 is the correct answer

Step-by-step explanation:

i used a calculator

Answer:

m∠CAB = 90°

BD = 9

m∠ABC = 90°

arc AEC = 180°

AD = 14.5

Step-by-step explanation:

Question 1

The angle between the radius and a tangent to the circle is always 90°.

Therefore, as AC is the radius and AB is a tangent segment, m∠CAB=90°

As m∠CAB = 90°, we can use Pythagoras' Theorem to find BC (hypotenuse):

   AC² + AB² = BC²

⇒ 8² + 15² = BC²

⇒ BC² = 289

⇒ BC = 17

As CD is the radius, CD = 8

Therefore, BD = BC - CD = 17 - 8 = 9

Question 2

If D is the center, then AC is the diameter. Angles at the circumference in a semicircle are always 90°.  Therefore, m∠ABC = 90°

As AC is the diameter, arc AEC is half of the circle.  

Therefore, arc AEC = 360° ÷ 2 = 180°

As m∠ABC = 90°, we can use Pythagoras' Theorem to find AC (hypotenuse):

   BC² + AB² = AC²

⇒ 20² + 21² = AC²

⇒ AC² = 841

⇒ AC = 29

AD is the radius.  A radius is half the diameter.

Therefore, AD = AC ÷ 2 = 29 ÷ 2 = 14.5

Step-by-step explanation:

According to picture we can see

The opposite angles formed by two intersecting  lines

The angles forming a right angle

The angles forming a straight line

Answer:

The answer is : 11°

Step-by-step explanation:

MKL+KLM = LMN

= (3x+19)°+(2x+8)° = (7x+5)°

= 5+27° = 7x+5°

= 2x = 22°

= x = 11°

Answer:

389 feet away....about a block !

Step-by-step explanation:

If 0ne foot = 2.389x 10^5   miles

  2.389x10^5 miles / 'foot'

find the number of 'feet' to the sun for the model

   9.296 x 10^7  miles  / 2.389 x 10^5  miles/'foot'  = ~~389 feet  !!

Answer:

x=1

Step-by-step explanation:

Answer:

A or C but i believe it is A

Answer: Ok let's say the area is 100 sq cm because it is 10x10 square. Now if 1 cm is 2 ft then 10 cm is 20 ft. So 20 x 20 is 400 sq ft which is the actual area.

1 sq cm = 4 sq ft

Good luck!

Answer:

[tex]300\sqrt{2}[/tex]

Step-by-step explanation:

using pythagorean theorem we know that a^2+b^2=c^2 so [tex]300^2+300^2=c^2[/tex]

so [tex]c=+- \sqrt{300^2+300^2}[/tex] knowing that the line has to be positive you take the positive integer.

a) one unit up = Ix + 2I + 1

b) one unit down = Ix + 2I - 1

c) one unit to the left = Ix + 1I

d) one unit to the right = Ix + 3I

Let the function f(x) and g(x) are two real functions.

And g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

The graph of y = |x+2| is a V-shaped graph centered at x = -2.

To translate this graph, we need to modify the equation to shift it up/down or left/right.

Here are the equations for each translation:

a) To shift the graph one unit up, we need to add 1 to the equation:

y = |x+2| + 1

b) To shift the graph one unit down, we need to subtract 1 from the equation:

y = |x+2| - 1

c) To shift the graph one unit to the left, we need to replace x with (x+1) in the equation (since moving left means decreasing x by 1):

y = |(x+1)+2|

Simplifying this gives:

y = |x+3|

d) To shift the graph one unit to the right, we need to replace x with (x-1) in the equation (since moving right means increasing x by 1):

y = |(x-1)+2|

Simplifying this gives:

y = |x+1|

Therefore, all the required values are given above.

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Answer:

4

Step-by-step explanation:

By adding (+ / Plus) 2 and 2 together, like II + II, you get IIII. Otherwise, 4. Or "Four" as a word. You pronounce it just like you say "For" as in "For you". "Four" and "For" mean different things, but sound the same when said. Hope this helped! (lol i know this is a joke question)

Answer:

3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue

Step-by-step explanation: TYYYYYYY

Answer: High

Step-by-step explanation: Same endpoints and similar values

The high overlap is the overlap that we are having here.

High dataset overlap typically refers to a situation in which two or more datasets contain many of the same or very similar entries or data points.

This can happen, for instance, in the field of machine learning, when training and testing datasets have high overlap, which could lead to overfitting. Overfitting is a modeling error that occurs when a function is too closely fit to a limited set of data points and may therefore perform poorly on new, unseen data.

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Answer:

the answer is the number two.

Step-by-step explanation:

1. compare the table, the person without a membership is more likely to take vitamin than a person with gym membership. 2 compare the answer with each other.

Answer:

49 and 26

Step-by-step explanation:

every triangles angles equal 180 degrees 76 + 55 equals 131. 180 - 131 = 49. the 2nd question has a small square at the bottom part of the triangles and those always mean 90 degrees. 64 + 90 = 154. 180 - 154 = 26.

By, Cross multiplying, we get

[tex]⇢2x(x - 1) = (2x - 1)(x + 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2[/tex]

Here, [tex]2 {x}^{2} [/tex] from both sides will get cancelled

[tex] ⇢- 2x = 3x - 2[/tex]

[tex]⇢ - 2x - 3x = - 2[/tex]

[tex] ⇢- 5x = - 2[/tex]

[tex] ⇢x = \frac{ - 2}{ - 5} [/tex]

[tex] ⇢ \underline { \boxed{ x = \frac{2}{5} }} [/tex]

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

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

[tex]\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}[/tex]

[tex]\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}[/tex]

therefore,

[tex]x=\frac{2}{5}[/tex]

Answer:

ahh,  ok so i believe  its  A  AND  E

Step-by-step explanation:

i have taken this quiz i think and i think this was it if im wrong im SOOO sorry

Answer:

Im pretty sure its #2

Step-by-step explanation:

hope thats my explanation.

Answer:

Step-by-step explanation:

it is option C because a positive number will always be bigger then a negative number