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Tatiana [17]
3 years ago
8

Which statement is true about angles QRT and

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

They are complementary.

Step-by-step explanation:

I made a small visual (mainly so I could visualize it but I figured it might help you too).

Since QRT is congruent to STR, QTR and SRT are also congruent.

Therefore, since STR is complementary to QTR, and STR is congruent to QRT, QTR must be complementary to QRT due to the transitive property.

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Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​
Digiron [165]
In order to make them perpendicular, their dot product must result in zero. so:

4 \times 2 - 2a - 2 \times 1 = 0

2a = 8 - 2 = 6

a = 3
7 0
3 years ago
Which number is rational?
marishachu [46]

Answer:

Option D, \sqrt{16}, since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

8 0
3 years ago
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
gogolik [260]

Answer:

<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

v_f=v_o-g.t

Where g is the acceleration of gravity g=9.8 m/s^2.

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

\displaystyle t=\frac{v_o-v_f}{g}

Substituting:

\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

8 0
3 years ago
Simplify (23)^–2 genuinely confused
statuscvo [17]

Answer:

1/529

Step-by-step explanation:

23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}

7 0
3 years ago
A Flagpole casts a shadow 32 feet long. If a man is 6 feet tall casts a shadow 8 feet long at the same time and location. How ta
Kaylis [27]
24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.
4 0
3 years ago
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