MATHEMATICS HIGH SCHOOL

the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length​

Answers

Answer 1
Answer: Considering the volume of a cube is length × breath × height, we are going to have to use an equation to find the length.

V = l × b × h

480cm³ = L × 8 × 6

Make L the subject.

480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L

Therefore length = 10cm

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If parallelogram JKLM is rotated 270 clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the imagine parallelogram?

Answers

Answer:

Step-by-step explanation:

I think you missed attaching the photo of the parallelogram JKLM  and here it is in my answer

When rotating a point 270° clockwise or 90°clockwise around the origin, we apply the rule (x, y) → (-y, x).

Look at the photo, we can see the coordinate of the point

  • J (-6, 2)  
  • M = (-5, -1)

So apply the rule, after the rotation, the new co-ordinates will be:

  • J = (-2, -6)
  • M = (1, -5)

Answer: A j(-2, -6) and M(1,-5)

Step-by-step explanation:

32 is 40 percent of what number?

Answers

'is' in mathematics means equal
'of' in mathematics means multiplication

percent means over 100

32 = 40% * x

32 = 40/100 * x

32 = 4/10 * x

Multiply 10/4 on both sides, so we can isolate 'x'

32 * 10/4 = x

x = 8 * 10

x = 80

32 is 40 percent of 80.

Consider the following system of equations: y = 5x + 6
y = −x − 7

Which description best describes the solution to the system of equations?

Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answers

it says
which best describes the SOLUTION to the system of equations
the solution is the set of points that satisfies both equations, it is also the intersection

therfor the answer is the first option "Line y = 5x + 6 intersects line y = −x − 7."

Answer:

Line y = 5x + 6 intersects line y = −x − 7.

Step-by-step explanation:

Both Lines intersect both the x and the y axis.
y = 5x + 6

y = −x − 7
Hope this Helps! :)))

What is the payment if there is $219 with a 3.5% sales tax

Answers

103.5% of A = 219
so, A = 219/103.5%
=$ 211.59

What is the collection of numbers that includes the natural numbers, together with their negatives and zero?

Answers

we know that
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
so
the answer is
the collection of numbers that includes the natural numbers, together with their negatives and zero are the integers

Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains

Answers

sorry hun but i believe you got this!!!! But multiply boo trust me



65.2 hours
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