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kondor19780726 [428]
2 years ago
5

Mattie Evans drove 180 miles in the same amount of time that it took a turbopropeller plane to travel 630 miles. The speed of th

e plane was 150 mph faster than the car.
Mathematics
1 answer:
AysviL [449]2 years ago
3 0

Answer:

the speed of the plane was 210 mph.

Step-by-step explanation:

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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),
Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(-4-(-4))^2+(-1-7)^2}

AB=\sqrt{(-4+4)^2+(-8)^2}

AB=\sqrt{0+64}

AB=8

Similarly,

BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8

CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8

AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8

All sides of parallelogram are equal.

AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}

BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0
2 years ago
12 is 1/2 percent of what number
AVprozaik [17]

Answer:

24 ?

Step-by-step explanation:

50% or .5%?

12*2 = 24

7 0
3 years ago
Read 2 more answers
Suppose at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard. Also, 30% of the
Doss [256]

Answer:

0.6,0.7,0.3 neither disjoint nor independent.

Step-by-step explanation:

Given that at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard.

A= visa card

B = Master card

P(A) = 0.60 and P(B) = 0.40

P(AUB)' = 0.30

i.e. P(AUB) = 0.70

Or P(A)+P(B)-P(AB) =0.70

P(AB)= 0.30

Randomly select a student from the university.

1) the probability that this student does not have a MasterCard.

= P(B') = 1-0.4 =0.6

2.  the probability that this student has either a Visa card or a MasterCard.

=P(AUB) = 0.70

3. Calculate the probability that this student has neither a Visa card nor a MasterCard.

=P(AUB)' = 0.30

4. Are the events A and B disjoint? Are the events A and B independent?

A and B have common prob 0.30 hence not disjoint.

P(AB) ≠P(A)P(B)

Hence not independent

6 0
3 years ago
When 37299 is divided by a number , the quotient is 298 and the remainder is 49. what is the number?​
alisha [4.7K]

Answer:

\huge\boxed{125}

Step-by-step explanation:

n-\text{a number}\\\\298n+49=37299\qquad|\text{subtract 49 from both sides}\\\\298n+49-49=37299-49\\\\298n=37250\qquad|\text{divide both sides by 298}\\\\\dfrac{298n}{298}=\dfrac{37250}{298}\\\\n=125

8 0
2 years ago
Read 2 more answers
A bakery is selling cookies in two different boxed amounts. A box of 10 cookies costs $4.76, and a box of 25 cookies
soldier1979 [14.2K]

_______________________________

<h3>a) Box of 10: </h3><h3> up = m ÷ ti </h3><h3> = $4.76 ÷ 10 Cookies</h3><h3> = $0.476 ~ $0.48</h3><h3 /><h3> Box of 25: </h3><h3> up = m ÷ ti </h3><h3> = $10 ÷ 25 Cookies</h3><h3> = $0.4</h3><h3 /><h3>b) Box of 10 - Box of 25</h3><h3> = $0.48 - $0.4</h3><h3> = $0.08</h3><h3 /><h3>THE BOX OF 25 COOKIES IS CHEAPER BY $0.08 PER COOKIE.</h3>

_______________________________

3 0
2 years ago
Read 2 more answers
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