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abruzzese [7]
3 years ago
11

How can tell before you divide 387 by 4, that the first digit of the quotient in in the tens place?

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0
You can tell before you divide 387 by 4, that the first digit of the qoutient is going to be in tens place, because 3 can't go into 4.
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2) Rachel wanted to drink exactly three bottles of water each day, so she bought twenty-six
lesya [120]

Answer:

1

Step-by-step explanation:

Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.

8 0
2 years ago
Read 2 more answers
The lateral surface area of cone A is equal to the lateral surface area of cylinder B.
Natasha2012 [34]

Answer:

TRUE

Step-by-step explanation:

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h

                                            =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal

Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:

True

4 0
3 years ago
Which statements are true regarding the area of circle
Pavlova-9 [17]

<u>Question:</u>

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

The area of circle D is 324Pi centimetres squared

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle.

<u>Answer:</u>

<u>The following statements are true regarding the area of circle D: </u>

  • The area of the circle depends on the square of the radius
  • The area of circle D is 324Pi centimeters

<u>Step-By-Step Explanation:</u>

As we know, the formula for area of the circle is given by,

             A=\pi r^{2}

Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

            A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}

From this, concluding that the circle area depends on radius square and its value is 324 \pi \mathrm{cm}^{2}. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).  

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).

6 0
3 years ago
Read 2 more answers
Two lighthouses are located 75 miles from one another on a north-south line. If a boat is spotted S 40o E from the northern ligh
yuradex [85]

Answer:

The northern lighthouse is approximately 24.4\; \rm mi closer to the boat than the southern lighthouse.

Step-by-step explanation:

Refer to the diagram attached. Denote the northern lighthouse as \rm N, the southern lighthouse as \rm S, and the boat as \rm B. These three points would form a triangle.

It is given that two of the angles of this triangle measure 40^{\circ} (northern lighthouse, \angle {\rm N}) and 21^{\circ} (southern lighthouse \angle {\rm S}), respectively. The three angles of any triangle add up to 180^{\circ}. Therefore, the third angle of this triangle would measure 180^{\circ} - (40^{\circ} + 21^{\circ}) = 119^{\circ} (boat \angle {\rm B}.)

It is also given that the length between the two lighthouses (length of \rm NS) is 75\; \rm mi.

By the law of sine, the length of a side in a given triangle would be proportional to the angle opposite to that side. For example, in the triangle in this question, \angle {\rm B} is opposite to side \rm NS, whereas \angle {\rm S} is opposite to side {\rm NB}. Therefore:

\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of NB}}{\sin(\angle {\rm S})} \end{aligned}.

Substitute in the known measurements:

\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of NB}}{\sin(21^{\circ})} \end{aligned}.

Rearrange and solve for the length of \rm NB:

\begin{aligned} & \text{length of NB} \\ =\; & (75\; \rm mi) \times \frac{\sin(21^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 30.73\; \rm mi\end{aligned}.

(Round to at least one more decimal places than the values in the choices.)

Likewise, with \angle {\rm N} is opposite to side {\rm SB}, the following would also hold:

\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of SB}}{\sin(\angle {\rm N})} \end{aligned}.

\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of SB}}{\sin(40^{\circ})} \end{aligned}.

\begin{aligned} & \text{length of SB} \\ =\; & (75\; \rm mi) \times \frac{\sin(40^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 55.12\; \rm mi\end{aligned}.

In other words, the distance between the northern lighthouse and the boat is approximately 30.73\; \rm mi, whereas the distance between the southern lighthouse and the boat is approximately 55.12\; \rm mi. Hence the conclusion.

4 0
3 years ago
easy car rental charges $40 a day plus $.25 per mile race. rent a car charges $25 a day plus $.45 per mile. what number of miles
DiKsa [7]
A: cost= 3*55+.35m
B: cost=3*50+.40m

set the costs equal, and solve for m.
6 0
3 years ago
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