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2 years ago

What is the reflection of (-6, 13) over the x-axis?

1 answer:

7 0

For a reflection over the x-axis, we have to change the sign of the y-value. In this case, from 13 to -13. So the reflection is (-6,-13).

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Find the volume of the L shaped composite prism, show clearly how you got your answers

ruslelena [56]

9514 1404 393

Answer:

510 cm³

Step-by-step explanation:

The overall height of the front face is 9+2 = 11 cm.

The overall width of the front face is 6+4 = 10 cm.

Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.

Then the area of the front face is ...

(11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²

The volume of the prism can be found using the formula ...

V = Bh

where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...

V = (102 cm²)(5 cm) = 510 cm³

The volume of the prism is 510 cm³.

3 0

3 years ago

Someone please help.

UkoKoshka [18]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Factorisation.

Since here both are the roots of the quadratic equation in the factor form, hence

equate them to zero, to get the value of x

hence,

2x-9 = 0

===> x = 9/2

and

3x+5=0

===> x = -5/3

6 0

2 years ago

Read 2 more answers

What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?

galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

$\frac{100}{500}\times 20$

Simplifying, the values, we get,

$\frac{2000}{500}=4\%$

Thus, the percentage of cacao is 4%

6 0

2 years ago

A game room has a floor

garri49 [273]

Okay what about the game room floor?

4 0

3 years ago

Can someone help me with this math problem please and thank you. :-)

jok3333 [9.3K]

Triangle ABE is isosceles / Given

AB congruent to AE / Def isosceles

angle ABE congruent to angle AEB / Property of isosceles triangles

angle ABD congruent to angle AEC / Subst different name for same angles

BD congruent to EC / Given

triange ABD congruent to triange AEC / Side Angle Side

5 0

2 years ago