Ask question

Ask question

All categories

3 years ago

7

Dan drove 845 miles in 13 hours. At the same rate, how many miles would he drive in 11 hours

1 answer:

denis23 [38]3 years ago

6 0

845 miles / 13 hours = 65 miles per hour

65 miles per hour x 11 hours = 715 miles

You might be interested in

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

3 years ago

Given the Trapezoid ABCD<br><br> Find the length of AD <br><br> Pls hellpppp

matrenka [14]

Given:

In trapezoid $ABCD, AD\parallel BC, MN$ is the mid-segment of $ABCD, AD=30x-10,MN=31x+1,BC=30x+28$ .

To find:

The length of $AD$ .

Solution:

We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.

In trapezoid $ABCD$ ,

$MN=\dfrac{AD+BC}{2}$

$31x+1=\dfrac{30x-10+30x+28}{2}$

$31x+1=\dfrac{60x+18}{2}$

$31x+1=30x+9$

Isolate variable terms.

$31x-30x=9-1$

$x=8$

Now,

$AD=30x-10$

$AD=30(8)-10$

$AD=240-10$

$AD=230$

Therefore, the length of $AD$ is 230.

6 0

2 years ago

PLEASE HELP SOLVE! FIRST TO SOLVE RIGHT WILL GET BRAINIEST

IrinaVladis [17]

Answer:

40π/3 cm^2

Step-by-step explanation:

The centerline of the shaded region has a radius of 3 +4/2 = 5 cm. Its length is 1/3 of a circle with that radius, so is ...

length of centerline = (1/3)(2π·5 cm) = (10/3)π cm

The shaded region is 4 cm wide, so the area is the product of that width and the centerline length:

(4 cm)(10/3 π cm) = 40π/3 cm^2

3 0

3 years ago

The perimeter of a rectangle garden is 54yd. One side has a length of 15 yd. Find the area of the garden.

Lelechka [254]

Answer:

=》Area = 180 sq.yd

Step-by-step explanation:

perimeter = 2l + 2b

where, we have l = 15

so (2×15) + 2b = 54
30 + 2b = 54
2b = 24
b = 12

now, Area = l × b = 12 × 15 = 180 sq.yd

5 0

2 years ago

Read 2 more answers

Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Su

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

5 0

1 year ago