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MAVERICK [17]
3 years ago
6

The right rectangular prism will be sliced perpendicular to its base along the dashed line. Select from the drop-down menus to c

orrectly describe the cross section formed by the slice. The cross section is a square with an area of A. 36, B. 48, C. 72, D. 96

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

Answer:

The cross section is a rectangle with an area 48 cm². Option B is correct.

Step-by-step explanation:

It is given that the dashed line represents the cross section.

From the given figure it is clear that the two consecutive sides of cross section are 6 cm and 8 cm.

Length of both sides are difference, so it is a rectangle.

The area of rectangle is

A=length\times breadth

A=6\times 8

A=48

The area of the cross section is 48 cm².

Therefore option B is correct.

Hatshy [7]3 years ago
4 0
The Cross section takes the shape of the end. If it was slicing across horizantaly than it would be a rectangle. The section takes the shape of a rectangle.

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3 years ago
A map of a town was made using a scale factor of 1 inch =1/2 mile. On the map, Sonja measures that her house is 3 inches away fr
NikAS [45]

Answer:

1.5 miles

Step-by-step explanation:

According to the scale, we can simply multiply the distance that Sonja measured on the map by the actual mile distance that it states on the scale (1/2 or 0.5) to calculate the actual distance between Sonja's house and Sal's house like so...

3 * 0.5 = 1.5 miles

Therefore, we can see now that there is a total actual distance of 1.5 miles between both of their houses, which is represented as 3 inches on the map.

3 0
2 years ago
Please prove this........​
Crazy boy [7]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    →     C = π - (A + B)

                                    → sin C = sin(π - (A + B))       cos C = sin(π - (A + B))

                                    → sin C = sin (A + B)              cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

<u>Proof LHS → RHS</u>

LHS:                        (sin 2A + sin 2B) + sin 2C

\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C

\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C

\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C

\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)

\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]

\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B

\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C    \checkmark

7 0
3 years ago
It is a linear equation but i don't know how to set the equation up , need help​
ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0
2 years ago
WILL GIVE FIRST ANSWER BRAINLIEST
DedPeter [7]
My answer is D.(5, -2)
4 0
3 years ago
Read 2 more answers
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