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3 years ago

8

Janet is 48 in tall and Lucy her younger sister is 32 in tall at 2:30 in the afternoon Lucy's Shadow extends 34 in how far does

Janet's Shadow extend at 2:30 in the afternoon

1 answer:

Elis [28]3 years ago

5 0

Janet is 50inches tall.

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LMNP is a rectangle. Find the value of x and the length of each diagonal. LN= x and MP= 2x -8

loris [4]

Answer:

<h2>x = 8 (Verified) ✅</h2>

Step-by-step explanation:

If we visualize the figure, we can see that sides LN and MP are going to be parallel and of the same length.

So x = 2x - 8

Subtract x

0 = x - 8

x = 8

Check the answer

8 = 2(8) - 8

8 = 16 - 8

8 = 8 ✅

3 0

3 years ago

It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s

Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that $speed = \frac{distance}{time}$

$\frac{distance}{time} = x + y$

$x + y = \frac{12}{3}$

x + y = 4 ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

$\frac{12}{4} = x - y$

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph = 3.5 mph

6 0

3 years ago

A circular pond 24 yd in

Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

$Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd$

Now, area of the pond is given as:

$A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2$

Area of the complete path including the pond area is given as:

$A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2$

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

$A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2$

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0

3 years ago

Read 2 more answers

Tania has 56 liters of milk. She uses the milk to make muffins and cakes. Each batch of muffin requires 7 liters of milk and eac

Sophie [7]

Equally divide 56 into 2 halves. 28 liters. 28 liters for muffins and 28 liters for cakes.

(muffins require 7 liters) 28÷7= 4
(cakes require 4 liters) 28÷4=7
x= 4 batches of muffins
y= 7 batches of cakes.

4 0

4 years ago

The smiths plan to recarpet their family room, which measures 15 ft. by 20 ft. how many square yards of carpet are needed? 30 33

BaLLatris [955]

15x20=300
300 square feet is 33.33333333333333333333333333333333333 square yards (divide by 9)
the answer is 33

6 0

3 years ago

Read 2 more answers