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Vikentia [17]
2 years ago
15

In the diagram above (not to scale), Vx/y = 12.57 meters/second and

Mathematics
2 answers:
EastWind [94]2 years ago
8 0
The first vector's speed is 12.57 meters for one second
The second vector's speed is 5.21 meters for one second
The total distance is 12.57+5.21 = 17.78 meters over two seconds
Hence the speed is 17.78 / 2 = 8.89m/s
Maru [420]2 years ago
3 0

Answer:

A. 7.36 meters/second

Step-by-step explanation:

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Match the following items.
Margarita [4]

Answer:

1. m\angle ECB=50\\2. m\textrm{ arc BC}=100\\3. m\textrm{ arc CD}=80\\4. m\angle DCF=40

Step-by-step explanation:

Given:

\angle DBC=40°

From the triangle, using the theorem that center angle by an arc is twice the angle it subtend at the circumference.

m\textrm{ arc CD}=2\times \angle DBC\\m\textrm{ arc CD}=2\times 40=80

Also, the diameter of the circle is BD. As per the theorem that says that angle subtended by the diameter at the circumference is always 90°,

m\angle BCD=90

From the Δ BCD, which is a right angled triangle,

m\angle DBC+m\angle BDC=90\textrm{ (right angled triangle)}\\40+m\angle BDC=90\\m\angle BDC=90-40=50

Now, using the theorem that angle between the tangent and a chord is equal to the angle subtended by the same chord at the circumference.

Here, chords CD and BC subtend angles 40 and 50 at the circumference as shown in the diagram by angles m\angle DBC\textrm{ and }m\angle BDC and EF is a tangent to the circle at point C.

Therefore, m\angle DCF=m\angle DBC=40\\m\angle ECB=m\angle BDC=50

Again, using the same theorem as above,

m\angle DCF=50\\\therefore m\textrm{ arc BC}=2\times m\angle DCF=2\times 50=100

Hence, all the angles are as follows:

1. m\angle ECB=50\\2. m\textrm{ arc BC}=100\\3. m\textrm{ arc CD}=80\\4. m\angle DCF=40

6 0
2 years ago
Read 2 more answers
4. A bank vault has 3 locks with a key for each lock. Key A is owned by the bank manager. Key B is owned by the senior bank tell
Amanda [17]

1 means that he is present, 0 means that he is not.

True means that they can open.

\begin{array}{cccccccccccc} \text{X} &&& \text{Y} &&& \text{Z} &&& \text{True} \\1 &&& 1 &&& 1&&& 1  \\ 1 &&& 1 &&& 0&&&1 \\  0 &&& 1 &&& 1&&&0 \\  1 &&& 0 &&& 1&&&1 \\  0&&& 1 &&& 0&&&0 \\   0 &&& 0 &&& 1&&&0 \\  1 &&& 0 &&& 0&&&0 \\  0 &&& 0 &&& 0&&&0 \\ \end{array}

6 0
2 years ago
A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candl
mars1129 [50]
Each candle in the set is a different size.
The smallest candle has a radius of 0.5 inches and a height of 3 inches.
The other two candles are scaled versions of the smallest, with scale factors of 2 and 3.
How much wax is needed to create one set of candles?
in cubic inches
Answer

pi 0.5^2 *3 = 0.75pi is the volume of the first candle.
The second volume is 8 * 0.75pi = 6pi.
And the last volume is 27 * 0.75 pi = 20.25 pi So in total we just take the sum and that is 27pi
6 0
1 year ago
Read 2 more answers
"Express as a mixed numeral: 39/8" is a problem found in a fifth-grade arithmetic textbook. This problem is BEST solved through:
Scilla [17]

Answer:

  c.  an algorithm

Step-by-step explanation:

Most math problems are best solved using an algorithm. Certainly, converting numbers from one form to another is easily done that way.

_____

The integer part is the whole-number quotient of the division. The fractional part is the remainder divided by the denominator:

  39/8 = 32/8 + 7/8 = 4 7/8

5 0
1 year ago
the brochure advertises a holiday costing £380. there is a discount of 12% if the holiday is booked by the end of the month. how
Sladkaya [172]
12% of an item purchased at $380 is equal to $45.60 you will pay $334.40
4 0
2 years ago
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