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devlian [24]
3 years ago
11

Find the value of x in the given right triangle.

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer:

x = 10.6 units

Step-by-step explanation:

We can use sine to solve this since sine is opposite over hypotnuse.

sin(62) = x/12

.883 = x/12

x = .883 * 12

x = 10.6

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True or False: A race car driver tested his car for time from 0 to 60 mph, and for 20 tests obtained a mean of 4.85 seconds with
sattari [20]

Answer:

The given statement is false.    

Step-by-step explanation:

We are given the following in the question:

95% confidence interval: (4.53,5.18)

Sample mean, \bar{x} = 4.85 seconds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, σ = 1.47 seconds

Degree of freedom = n - 1 = 19

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 4 and}~\alpha_{0.01} = \pm 2.09

4.85 \pm 2.09(\dfrac{ 1.47}{\sqrt{20}} )\\\\ = 4.85 \pm 0.69 \\\\= (4.16 ,5.54)  

Thus, the calculated confidence interval is different from the given confidence interval.

Hence, the given statement is false.

6 0
4 years ago
You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches.
lord [1]

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

8 0
3 years ago
She has 7 initiatives and wants to put 2 stickers on each. She has 10 stickers. How many more stickers does she need?
Zina [86]

Answer:

4

Step-by-step explanation:

If she wants to put 2 on each invitation, then we multiply the amount of invitations she has by the amount of stickers going on each invitation. 7 times 2 is 14.

She has 10 stickers, and she needs 14 in total, so we subtract 10 from 14 and we get 4.

In conclusion, the girl needs 4 sticks more

8 0
3 years ago
Increase £60 by 10% Pls help me xx
Alexus [3.1K]

Answer:

Step-by-step explanation:

\frac{10}{100}*60=6

60+6=£66

3 0
3 years ago
Read 2 more answers
What is x? <br><br> Thank you
zepelin [54]

Answer:

None of those answers are correct

Step-by-step explanation:

There are no real solutions

Let's solve your equation step-by-step.

2+2x−3

2x+3

=

3x+4

x+2

Step 1: Cross-multiply.

2+2x−3

2x+3

=

3x+4

x+2

(2+2x−3)*(x+2)=(3x+4)*(2x+3)

2x2+3x−2=6x2+17x+12

Step 2: Subtract 6x^2+17x+12 from both sides.

2x2+3x−2−(6x2+17x+12)=6x2+17x+12−(6x2+17x+12)

−4x2−14x−14=0

For this equation: a=-4, b=-14, c=-14

−4x2+−14x+−14=0

Step 3: Use quadratic formula with a=-4, b=-14, c=-14.

x=

−b±√b2−4ac

2a

x=

−(−14)±√(−14)2−4(−4)(−14)

2(−4)

x=

14±√−28

−8

Answer:

No real solutions.

8 0
3 years ago
Read 2 more answers
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