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vredina [299]
3 years ago
15

Trace is at school and wants to send his homing piaeon home for his forgotten Geometry homework. If the coordinates for his home

are (-5,5) and his school is at (-1,2), what is the length of his pigeon's flight directly to the house?
Answer: Length= ____ units​
Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

From the coordinates, we have;

x1 = -5

x2 = -1

y1 = 5

y2 = 2

Now,from the distance formula, distance is;

d=√((x2 - x1)²+(y2 - y1)²)

Plugging in the relevant values, we have;

d = √((-1 + 5)²+(2 - 5)²)

d = √(16 + 9)

d = √25

d = 5

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A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What
8_murik_8 [283]

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}

5 0
3 years ago
A spinner is divided into 13 equal-sized sections, and each section is labeled with a number 1 through 13.
nikitadnepr [17]

Answer:

10/13

Step-by-step explanation:

if this is wrong, im sorry, but im pretty sure its correct

5 0
3 years ago
Your patience while we update our system.
Masja [62]

Answer:

equation: 320+x=360, answer: 40

Step-by-step explanation:

add 100,200 and 100 to get 320

360-320=40

x=40

8 0
3 years ago
The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in mill
azamat

Answer:

\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20}  = 2.26

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

\frac{f(b)-f(a)}{b-a}

6 0
3 years ago
If AB = 4 centimeters, which is closest to BC?
Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0
3 years ago
Read 2 more answers
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