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NeTakaya
3 years ago
6

Triangle ABC is to be translated right 3 units, down 5 units. What are the vertices of the translated triangle? A. A'(0, 9), B'(

1, 3), and C'(7, 6) B. A'(0, –1), B'(1, –7), and C'(7, –4) C. A'(–6, –1), B'(–5, –7), and C'(1, –4) D. A'(–6, 9), B'(–5, 3), and C'(1, 6)

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
It is A. Because the point a would be on the -1 and the b would be on the -7 and the c would be on the -4
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Answ
Amiraneli [1.4K]

Answer:

1. 7

2. 48

Step-by-step explanation:

you have to <u>subtract</u> 49-42 because some got taken away then you should end up with 7, 63-15 is 48.

7 0
2 years ago
Huilan's age is two times thomas's age. the sum of their ages is 84. what is thomas's age?
igomit [66]
H is 2t
h + t = 84
2t + t = 84
3t =84
t = 28
Thomas is 28 and huilan is 56
3 0
3 years ago
Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
Nitrogen makes up about 78% of air. If you have 2 L of air, how many liters of nitrogen are in the air?
NemiM [27]

Answer:39%

Step-by-step explanation:

78/100÷2

78/100×1/2

=39

5 0
3 years ago
kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter
SVEN [57.7K]
To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket. 

25.5 - 5.2 = 20.3 Litres  

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units. 

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel. 

20300 <span>÷ 800 = 25.375 

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26. 

Hope this helps :) </span>
6 0
3 years ago
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