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2 years ago

10

this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with a

n x-coordinate of 2

1 answer:

natima [27]2 years ago

7 0

Answer:

have you found the answer I need it to

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Jim and Jesse had the same amount of $. Jim spent $58 to fill car and Jesse spent $37 on snacks. Afterward the ratio of Jim's to

Elza [17]

Set up an equation
x+58=4x+37
21=3x
x=7
Jim:
x+58
7+58
$65
Jesse:
4x+37
4(7)+37
28+37
$65

5 0

3 years ago

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

What is the greatest common factor of 32 and 48

Bond [772]

Turn each number into the product of it's prime factors.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.

4 0

3 years ago

Read 2 more answers

Can someone pls help

MakcuM [25]

when x =1 , y = 3

when x = 3, y =27

27-3 = 24

3-1 = 2

24/2 = 12

rate of change = 12

3 0

3 years ago

Write two different equations to describe each situation. a) You buy 3 identical shirts and 2 identical pairs of socks and spend

Ronch [10]

Answer:

3x + 2y = 38, 3a + 2b = 38

Step-by-step explanation:

An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.

In the context, two different equations for the situations are :

i). Let the shirt be represented by x

And the socks be represented by y

Therefore, according to the question,

3x + 2y = 38

ii). Let the shirt be represented by a

And the socks be represented by b

Therefore, according to the question,

3a + 2b = 38

7 0

3 years ago