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mina [271]
3 years ago
5

A ramp with a one meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?

Mathematics
1 answer:
natita [175]3 years ago
4 0

The value of the acute angle is 40°

Step-by-step explanation:

Let the angle be 'θ'

Length of the ramp = 1 m

Height = 0.643 m

To find :

The angle of elevation.

we can use sine to find the angle of elevation.

sin θ = 0.643/1

sin θ = 0.643

0.643 = sin 40°

sin θ = sin 40°

So, θ = 40°

The angle of elevation is 40°

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A large-sample 95 percent confidence interval for the proportion of credit card customers that have reported fraudulent charges
Elden [556K]

Answer:

B.

Step-by-step explanation:

Point estimate is always at the center of the interval.

You can find it by averaging the endpoints:

p(hat) = (0.028 + 0.086)/2 = 0.057

8 0
3 years ago
Janet and her brother John went out to eat. Both paid the same amount. Janet got three burgers and left a $10 tip. John bought 4
lianna [129]

Answer:

Cost for 1 burger = 5 $

Amount spent by Janet  = 25$

Amount spent by John = 25$

Explanation:

Let the cost for burger be p.

Janet got three burgers and left a $10 tip

Amount spent by Janet  = 3 p + 10

John bought 4 burgers, but only left a $5 tip

Amount spent by John  = 4 p + 5

Both paid the same amount.

 So, we have  3 p + 10 = 4 p + 5

=> p = 5 $

So, cost for 1 burger = 5 $

Amount spent by Janet  = 3 x 5 + 10 = 25$

Amount spent by John  = 4 x 5  + 5 = 25$

6 0
3 years ago
PLEASE I NEED HELP! THANK YOU.
Elden [556K]

First set up a linear equation  and using the x and y values in the table see if it solves.

It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)

Using the quadratic formula y = ax^2 +bx +c

Build a set of 3 equations from the table:

C is the Y intercept ( when X is 0), this is shown in the table as 6

Now we have y = ax^2 + bx + 6

-2.4 =4a-2b +6

1.4 = a-b +6

Rewrite the equations

a=b/2 -2.1

1.4 = b/2-2.1 +6

b = 5

a = 5/2 -2.1 = 0.4

replace the letters to get y = 0.4x^2 + 5x +6

4 0
3 years ago
The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?
dezoksy [38]
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)
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Give the most descriptive name for
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Answer:

trapezium................

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