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Phantasy
1 month ago
6

Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi

cal.
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
Mathematics
1 answer:
zzz [12.3K]1 month ago
6 0
The vectors r(t) and s(t) are indeed parallel.
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If m<DBC=(12x-3)°, m<DBE=(5x+12)°, and m<EBC=(3x+13)°, find m<EBC.
Leona [12618]

Answer:

m∠EBC=34°

Step-by-step explanation:

We establish that

m∠DBC=m∠DBE+m∠EBC

Refer to the accompanying diagram for clarity on the issue

Replace the known values in the equation and determine x

(12x-3)\°=(5x+12)\°+(3x+13)\°\\12x-3=8x+25\\12x-8x=25+3\\4x=28\\x=7

Calculate the size of angle EBC

m∠EBC=(3x+13)°

Insert the value for x

m∠EBC=(3(7)+13)°

m∠EBC=(21+13)°

m∠EBC=34°

8 0
2 months ago
Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H
babunello [11817]

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

252\ lb= 36ft^2

To find the number of pounds needed for 1 square foot , perform the following calculation:

x = 1ft^2

Thus, we have:

x = 1ft^2

252\ lb= 36ft^2

Cross multiply

x \times 36 = 252 \times 1

And divide both sides by 36

x = 7lb

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

315lb = y

315lb = y

Cross multiply

252\ lb= 36ft^2

y \times 252 = 36 \times 315

And divide both sides by 252

y \times 252 = 11340

Thus, 7 lb will cover

1 square footy = 45, and 315 lb will encompass an area of

45 square feet.

Read more about ratios at:

6 0
1 month ago
a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and
lawyer [12517]
The customer spent $192.4 on the product.
8 0
2 months ago
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Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1 10 ) + ( 5 × 1 100 ) . A. 92.35 B. 920.350 C. 902.
AnnZ [12381]

The question is not properly framed

Complete Question

Identify all decimals equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 ). A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035

Response:

E. 920.35

Explanation:

( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100)

Step 1

(900) + (20) + (3/10) + (5/100)

Step 2

900 + 20 + 0.3 + 0.05

Step 3

920.35

Thus, the result is 920.35

4 0
1 month ago
The diagram shows two objects made of the same kind of glass. At left, a 3 dimensional figure labeled X with 2 triangular sides
Zina [12379]

Response:

A solid qualifies as a polyhedron if it consists solely of polygonal facets, with the faces converging at... polygons, and an equivalent number of faces converging at each vertex.... referred to as a right prism).... 1. 2. 3. The visuals below depict a 3-dimensional shape that does not meet the criteria... Example 10: The solid illustrated below is categorized as a rectangular prism or cuboid

Detailed explanation:

6 0
2 months ago
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