Ask question

Ask question

All categories

2 years ago

14

Using the formula R equals D/T where D is the distance in miles R Is the rate T is the time in hours at which rate must you trav

el to cover 212.5 miles in 2.5 hours?

1 answer:

sergejj [24]2 years ago

3 0

R=D/T
R=212.5/2.5
R=85

You might be interested in

Multiply 72.22 and 4.1

viktelen [127]

Answer: 316.52

Step-by-step explanation:

77.2*4.1 = 316.52

If you have problems with multiplying decimals:

Multiply the numbers just as if they were whole numbers.

1.Line up the numbers on the right - do not align the decimal points.

2.Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

3.Add the products.

4 0

3 years ago

Read 2 more answers

What is the slope of -2x + 4y = 12 ?

Daniel [21]

Answer:

Slope: 1/4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write an equation in point-slope form of the line having the given slope that contains the given point. m = -2, (4, -2)write an

alex41 [277]

Answer:

Point-slope form: y+2=-2(x-4)

6 0

3 years ago

The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

V125BC [204]

X>Y
X=7Y
3X=7+4Y
X=?
Y=?
----------------------------
3*7=7+4Y
21Y=7+4Y
21Y-4Y=7
17Y=7
Y=7/17
----------------------
X=7*7/17
X=49/17

6 0

3 years ago

please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me

mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH= $\sqrt{(5-0)^{2}+(1-1)^{2}}=5$ and

GI= $\sqrt{(4-1)^{2}+(3+1)^{2}}=5$

Now, mid point of JH= $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

= $(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)$

Mid point of GI= $(\frac{5}{2},1)$

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

$(GI)^{2}=(IJ)^{2}+(JG)^{2}$ (1)

Now, JI= $\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20}$ and GJ= $\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}$

Substituting these values in (1), we get

$5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }$

$25=20+5$

$25=25$

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI= $\sqrt{(4-1)^{2}+(3+1)^{2}}=5$ and HJ= $\sqrt{(0-5)^2+(1-1)^2}=5$ are equal, thus, GHIJ is a rectangle.

6 0

2 years ago