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lora16 [44]
3 years ago
15

Select the correct answer. -Plato- The Tangent line problem: Mastery test

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer: 5x or 10x-3

Step-by-step explanation:

I got it wrong twice so these are the answers left. (plato)

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Find the value of x. Picture below
Wittaler [7]

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given (2x)^o and (x+15)^o. Sum of these two angles is 90°.

So we can write the equation as,

(2x)+(x+15) = 90

We have to remove the parenthesis now.

2x+x+15 = 90

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

3x+15 = 90

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

3x+15-15 = 90-15

3x= 90-15

3x= 75

Now to get x, we have to move 3 to the other side, by dividing it to both sides.

(3x)/3 = (75)/3

x = (75)/3

x = 25

We have got the required value of x.

The solution is x= 25.

3 0
4 years ago
Find the volume of the cone and round to the nearest tenth.
strojnjashka [21]

Answer:

V≈1960.4

Step-by-step explanation:

4 0
3 years ago
Explain how to write the number that is one million more than 458,610,008
ch4aika [34]
458,610,008+100,000,000
8 0
4 years ago
Read 2 more answers
Critical thinking question on the topic operations with radical expressions needed
Yakvenalex [24]

Answer:

https://www.map.mathshell.org/download.php?fileid=1714

Step-by-step explanation:

Go to that website and it should tell you about everything

7 0
3 years ago
The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter
Stels [109]

Answer:

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories  

Step-by-step explanation:  

Null Hypothesis [H0] : u < 250  

Alternate Hypothesis [H1] : u > 250 {One Tail}  

t = (x' - u) / [ sd / √n ]  

= (255 - 250) / (5.6 / √20)  

5 / (5.6 /√20)  

= 3.99  

As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.  

4 0
3 years ago
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