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4 years ago

Which inequality is represented by the number line graph?

Mathematics

2 answers:

kirill [66]4 years ago

8 0

Hi there! :)

<em><u>Answer:</u></em>

<em><u>*The answer must have a negative sign and less than symbol sign.*</u></em>

Step-by-step explanation:

The arrow points to the left.

The circle is open.

Hope this helps!

-Charlie

Have a nice day! :)

TEA [102]4 years ago

5 0

Answer:

The correct answer is D) x ≤ -6

Step-by-step explanation:

The graph shows a closed circle at -6, which means that -6 is a solution to the inequality. The shaded arrow on all values larger than -6 indicates that the correct inequality is x ≥ -6.

Hope I help have a great day!

(I took the test I know im correct)

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Brian's kite is flying above a field at the end of a 68m string.If the angle of elevation to the kite measures 70 degrees,how hi

Dvinal [7]

Answer:

$h = 63.92\ m$

Step-by-step explanation:

Given:

Angle of elevation = 70°

Length of string = 68 m

We need to find the height of the kite.

Solution:

Requirement figure attached in file.

Where:

BC = 68 m

AC = h (Height of the kite)

∠ABC = 70°

Using Cosine rule to find the height of the kite.

$AC = BC\times sin(70)$

$h = 68\times 0.94$

$h = 63.92\ m$

Therefore, height of the kite from Brian's head $h = 63.92\ m$ .

4 0

4 years ago

The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what

nasty-shy [4]

<h2>Explanation:</h2><h2></h2>

The volume of a cone can be found as:

$V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ V:Volume \\ \\ r:radius \ of \ base \\ \\ h:height$

Given the radius and height, we can find the volume of the cone:

$V=\frac{1}{3}\pi r^2 h \\ \\ V=\frac{1}{3}\pi (1.25)^2(2.75) \\ \\ V=\frac{1}{3}\pi(1.5625)(2.75) \\ \\ V\approx 4.5in^3$

The volume of a sphere is:

$V=\frac{4}{3}\pi r^3 \\ \\ \text{Each gum ball has a diameter of 0.5in, so the radius is:} \\ \\ r=\frac{0.5}{2}=0.25in$

So, for each gum ball the volume is:

$V=\frac{4}{3}\pi r^3 \\ \\ V=\frac{4}{3}\pi (0.25)^3 \\ \\ V=0.065in^3$

Therefore, the he closest approximation of the volume of the cone that can be filled with flavored ice is:

$4.5-0.065=4.43in^3$

Conclusion: The volume of the cone that can be filled with flavored ice is 4.43 cubic inches.

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4 years ago

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How

hodyreva [135]

Answer: 4

Step-by-step explanation:

For this question, we have to divide the number 8 by 2.

8 ÷ 2 = 4

Now, we have to take the quotient, 4, and multiply it by 1.

1 x 4 = 4

The answer is 4.

6 0

3 years ago

What’s the area of the shaded region?

Leni [432]

Answer:

217.04 cm²

Step-by-step explanation:

We should first calculate the area of the rectangle:

A= 14*21 =294cm²

then we should substract the area of the half-cercle :

A'= (7²*π)/2=76.96 cm²

then the area of the shaded area is :

A"= 294-76.96= 217.04 cm²

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3 years ago

Look at the table of values below. x y 1 3 2 7 3 11 Which equation is represented by the table? A. y = 2x + 1 B. y = 3x + 2 C. y

lesya [120]

Answer:

C. y = 4x − 1

Step-by-step explanation:

x y

1 3

2 7

3 11

We can find the slope

m = (y2-y1)/(x2-x1)

= (11-7)/(3-2)

= 4/1

The slope is 4

The only equation with a slope of 4 is

y = 4x − 1

Check a point

(1,3)

y = (4)*1 -1

y=3

Checks so this works

4 0

3 years ago