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UNO [17]
4 years ago
7

The diagonals of a rhombus are _____perpendicular.

Mathematics
2 answers:
Tems11 [23]4 years ago
5 0

Answer:

The diagonals of a rhombus are <u>always</u> perpendicular.

Step-by-step explanation:

We have been given an incomplete sentence. We are supposed to fill in the given blank.

Given sentence:

The diagonals of a rhombus are _____perpendicular.

We know that rhombus is a parallelogram. One of properties of rhombus is that the diagonals of rhombus always bisect each other at right angles.

Since diagonals of rhombus are always perpendicular, therefore, the missing word from our given sentence is 'always'.

Karo-lina-s [1.5K]4 years ago
3 0
The diagonals of a rhombus are always perpendicular.
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$125,000 is deposited into an account that is compounded quarterly at 5 1/2%. Find the account balance I 17 years.
Ilya [14]
125,000(1+(.055/4))^(17*4)

316379.97246256764
6 0
4 years ago
The surface of a hill is modeled by z = 100 − 4 x 2 − 2 y 2 . When a group of hikers reach the point (-3,-2,56) it begins to sno
m_a_m_a [10]

Answer:

(-24, -8)

Step-by-step explanation:

Let us recall that when we have a function f

\large f:\mathbb{R}^2\rightarrow \mathbb{R}\\f(x,y)=z

<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is

\large \nabla f=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})

at the point (x,y) gives the direction of maximum rate of increasing

\large -\nabla f

at the point (x,y) gives the direction of maximum rate of decreasing

In this case we have

\large f(x,y)=100-4x^2-2y^2

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

\large \nabla f(x,y)=(-8x,-4y) \Rightarrow -\nabla f=(8x,4y)

at the point (-3,-2) minus the gradient equals

\large -\nabla f(-3,-2)=(-24,-8)

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.

7 0
4 years ago
A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
Pavel [41]
Time = distance / speed
time = (7/8) / (3/8)
        = 7/8 * 8/3
        = 7/3 or 2 1/3 minutes or 2 minutes and 20 seconds
6 0
4 years ago
Read 2 more answers
75% of ? Pitcher is 15 pitchers
Alenkinab [10]
Not sure what you are trying to ask, but 3/4 of 15 is 11/25....
4 0
4 years ago
I WILL MARK BRAINIEST
Mrac [35]

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

8 0
3 years ago
Read 2 more answers
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