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andreev551 [17]
3 years ago
14

If two lines are parallel and one has a slope of 8, what is the slope of the other line

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0
Answer: 8

Parallel lines always have the same slope. 

[I attached a picture that might help show you]

The lines do NOT Intersect.

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If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o
velikii [3]

The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = \frac{X}{4} cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X =  ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

#SPJ9

3 0
2 years ago
Paige use the equation y=kx to determine she would need 259 beads to create 7 necklaces. how many beads would she use per neckla
frozen [14]
Divide 259 by 7 (259/7)= 37 beads per necklace. If you wanted to check just multiply 7 and 37 (37x7)=259
5 0
3 years ago
Read 2 more answers
An angle measure is 6 degrees more than 3 times its compliment. find the measure of the angle.
cupoosta [38]
Let the first angle be A and the second be B.
Complementary angles add up to 90° so:
A + B = 90
We are also told:
A = 6 + 3B; substituting this into the first equation:
6 + 3B + B = 90
B = 21°

A = 6 + 3(21)
A = 69°
8 0
3 years ago
A 3 cm x 3 cm rectangle sits inside a circle with radius of 4 cm.
Vitek1552 [10]

Given:

Rectangle inside a circle.

To find:

The area of the shaded region.

Solution:

Length of a rectangle = 3 cm

Width of a rectangle = 3 cm

Area of a rectangle = length × width

                                    = 3 × 3

Area of a rectangle = 9 cm²

Radius of a circle = 4 cm

Area of a circle = πr²

                             = 3.15 × 4²

Area of a circle = 50.24 cm²

Area of shaded region = Area of circle - Area of rectangle

                                      = 50.24 - 9

                                      = 41.24 cm²

The area of the shaded region is 41.24 cm².

5 0
3 years ago
Read 2 more answers
A boat traveled downstream a distance of 68 mi and then came right back. If the speed of the current was 5 mph and the total tri
Free_Kalibri [48]
The current cancels doesnt it? so it would be (68*2)mi/5.667hr

7 0
3 years ago
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