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lys-0071 [83]
3 years ago
12

When a variable are immediately next to each other with no symbol between them, what operation is implied

Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

Multiplication

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Help please im marking brainliest
Strike441 [17]

The surface area of the triangular prism is of 140 cm².

<h3>What is the surface area of a prism?</h3>

It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:

  • One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
  • Two right triangles with sides 4 cm and 5 cm.

For a rectangle, the area is given by the multiplication of the dimensions, hence:

Ar = 8 x 15 = 120 cm²

For each right triangle, the area is given by half the multiplication of the sides, hence:

At = 2 x 0.5 x 4 x 5 = 20 cm².

Then the surface area of the prism is:

S = 120 cm² + 20 cm² = 140 cm².

More can be learned about surface area at brainly.com/question/28123954

#SPJ1

3 0
1 year 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.

6 0
3 years ago
Read 2 more answers
Use a table to find the solution to the situation.
AysviL [449]

Answer:

245+45x=170+60x

therefore in 5 days, they will charge the same amount

8 0
3 years ago
Two digits are selected with replacement from the digits 1, 2, 3, and 4.
Helen [10]
6 and 8 I believe is the answer
6 0
3 years ago
Name a set of supplementary angles
Slav-nsk [51]

Answer:

AED and DEF

Step-by-step explanation:

Both on a straight line equal 180 degrees (90 + <E)

8 0
3 years ago
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