All categories

2 years ago

Is the difference between a positive mixed number and a negative mixed number always, sometimes, or never positive?

Mathematics

1 answer:

Annette [7]2 years ago

5 0

Ok It depends upon what the order of the terms might be

If we consider that the positive mixed number is the first term and the negative mixed number is the second term and we consider "difference" to be subtraction.....then the result is positive

For example

(3 + 1/2) - [ -(1 + 1/2)] =

(3 +1/2) + (1 + 1/2) = 5 since subtracting a negative results in a positve

But....if we had the reverse order with the same operation, we would have

-(1 + 1/2) - (3 + 1/2) and the result is - 5

Hence.......I would go with "sometimes"

You might be interested in

Find the volume of the prism.

Elden [556K]

The answer is B.
**
The triangles on the two ends are congruent. So, to find the prism area, it is enough to take the area of one of the triangles and multiply it by the prism depth, which is 20 units.
Use the Pythagorean theorem to find the height of the triangle. 5^2 - 3^2 = 4^2, so the height is 4. Multiply half times height times base: 1/2 x 4 x 3 = 6. Multiply that by the depth, 20. 6x20=120. The answer is in cubic units, or units^3

4 0

2 years ago

Read 2 more answers

Find the area of the polygon.

Allushta [10]

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

6 0

2 years ago

How do you use the pythagoreum theorum again? i know the formula is a^2+b^2=c^2 but how do you use it. Use the example 15^2+20^2

kiruha [24]

It would be 225+400=c^2. square both sides to result in 25.

3 0

3 years ago

Read 2 more answers

From a window 20 feet above the ground, the angle of elevation to the top of a building across

Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

$\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},$

and from the right-angled triangle WAB, we have'

$\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.$

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0

2 years ago

Please someone help me! I know that the answer is close to 17, so if u know the answer please show me how to do it!

gogolik [260]

Answer:

Ask ur mom she's nice

Step-by-step explanation:

8 0

2 years ago