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3 years ago

14

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t

he width of the box is not taken up by pencils?

1 answer:

Tanya [424]3 years ago

3 0

Answer:

Step-by-step explanation:

5.25 - 2.625 = 2.625 inches

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A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his brea

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145.31 ft2 will be painted on his fifth break.

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Marissa drew and labeled 4 triangles on grid paper as shown below. Which triangle appears to be an obtuse triangle

Pachacha [2.7K]

The triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

<h3>What are obtuse triangles?</h3>

Obtuse triangles are triangles that has one of theor angles to greater than 90 degrees.

Most obtuse triangles has two acute angles (angles less than 90 degrees) and a obtuse angle (angles between 90 and 180 degrees)

Hence the triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

Learn more on obtuse triangle here: brainly.com/question/3250447

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2 years ago

On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9).

zimovet [89]

Answer: (0,1)

Step-by-step explanation:

If $(x_1, y_1)$ and $(x_2, y_2)$ are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.

Then , the coordinates of (x,y) is given by :-

$x=\dfrac{nx_1+mx_2}{m+n}$

$y=\dfrac{ny_1+my_2}{m+n}$

Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).

Then , the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 :

$x=\dfrac{2(2)+1(-4)}{1+2}=0$

$y=\dfrac{2(-3)+1(9)}{1+2=1}$

Hence, the x- and y- coordinates of point E = (0,1)

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3 years ago

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Question 4 of 10

Naddik [55]

The answer is D
real explanation: take 0.642 & divide it by -0.28.

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2 years ago

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$$\Rightarrow \frac{h}{2}=r$

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

$$\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3$ (formula)

$$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3$

$$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3$

Hence it is true.

Option A, option C and option E are true.

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3 years ago

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