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sergey [27]
3 years ago
12

Evaluate the value of x to 1 d.p Thank you

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

{a}^{2}  =  {b}^{2}  +  {c}^{2}   - 2 \times b \times c \times cos(100) \\  {x}^{2}  =  {13}^{2}  +  {10}^{2}  - (2 \times 13 \times 10 \times cos100) \\  = 169 + 100 - 260 \times 0.862 \\  = 269 - 260 \times 0.862 \\  = 7.758 \\x =  \sqrt{7.758 }  \\  = 2.785 \\  = approx \: 2.8

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Sara wants to find the input value that produces the same output for the functions represented by the tables.
Ipatiy [6.2K]

Answer:

2 is the value that provides the same result with f(x) and g(x).

Step-by-step explanation:

You can solve this by saying:

f(x) = g(x)

and then solving for x.

So let's do it:

f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x  = 2 + 3\\2.5x = 5\\x = 2

This tells us that when x = 2, the two functions will have identical values.  Let's try them out to confirm it!

f(x) = -0.5x + 2

f(2) = -0.5 * 2 + 2

f(2) = -1 + 2

f(2) = 1

g(x) = 2x - 3

g(2) = 2 * 2 - 3

g(2) = 4 - 3

g(2) = 1

So we can see that 2 is the value that produces the same result in both charts.

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3 years ago
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What substance makes up 75 to 90% of every cell in the human body?
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Your answer is D, water.
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3 years ago
Find the area of a circle with radius, <br> r<br> = 6.43m.<br> Give your answer rounded to 2 DP.
Vesna [10]

Answer:

129.89 m²

Step-by-step explanation:

Area of a circle of radius r is A = πr².

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2 years ago
Been stuck on these last 2 questions. can anybody help? thanks in advance!
Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0
1 year ago
What is the slope of line b?
Semmy [17]

Answer:

It is c)1/2

Step-by-step explanation:

Since its rising its postive

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