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2 years ago

In the diagram, quadrilateral LMNO is a parallelogram. What is the length of NP¯¯¯¯¯? 6 5.66 5.39 2.24

Mathematics

2 answers:

Olin [163]2 years ago

4 0

I think the answer would be 5.39. I'm not sure

Alik [6]2 years ago

3 0

Answer:

NP = 5.39

Step-by-step explanation:

This is the answer because opposite diagonals have equal lengths.

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How can properties of operations be used to solve problems involving integers and rational numbers

Alika [10]

Answer: The properties of operations can be used to solve problems involving integers because it shows different way to find the answer.

Step-by-step explanation:

7 0

2 years ago

Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c

Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = $2\pi r(r+h)$ where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = $2(3.14)(3.3)(3.3+10)$ $=275.63\ \text{ sq. cm}$

[π=3.14]

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = $\pi r^2h$

$=(3.14)(3.3)^2(10)$

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0

2 years ago

A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees

Daniel [21]

From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360.

measure of angle ACB = (24/60)(360)
measure of angle ACB = 144°

Thus, the angle measure 144°.

3 0

2 years ago

Olivia and her 2 friends are sharing gallons of paint for their rooms. They have the same size room and therefore want to split

pickupchik [31]

Answer:

1 gallon

Step-by-step explanation:

1 gallon because they are sharing the equally

3 0

2 years ago

For positive acute angles

insens350 [35]

9514 1404 393

Answer:

77/85

Step-by-step explanation:

Given:

cos(A) = 4/5

sin(B) = 15/17

Find:

cos(A-B)

Solution:

From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...

sin(A) = 3/5

cos(B) = 8/17

Alternatively, you can use the Pythagorean identity to find ...

sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5

cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17

Then application of the angle difference formula is straightforward.

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

cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85

cos(A -B) = 77/85

_____

Some graphing calculators can express the result ...

cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294

... as the fraction 77/85

5 0

2 years ago