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gogolik [260]
3 years ago
9

What equation can be used to find the length of AC

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
I'm pretty sure this is the answer:
(10)sin(40°) = AC

It's <em>sin </em>becasue it <em>needs </em>the opposite side of 40° and <em>has </em>the hypotenuse. 
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Find the equation of the linear function represented by the table below in slope intercept form.
grigory [225]

Answer:

y = -3x - 2

Step-by-step explanation:

slope (m) = (-8 - -5) / (2 - 1)   ... difference of y/difference of x

m = -3

y = mx + b

y = -3x + b

for (3,-11)    b = y + 3x = -11 + 3x3 = -2

equation: y = -3x - 2

5 0
3 years ago
Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know
tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

3 0
3 years ago
An engineering crew ran several tests on a new automobile engine they were designing. The mean fuel consumption was 52.4 miles p
zhenek [66]

Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."  

2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8.  Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

8 0
3 years ago
Calculate:<br> √5/2-√5+2/2+√5
klio [65]
-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2

4 0
2 years ago
Read 2 more answers
Write the formula to calculate how much dough is prepared in x hours.
spin [16.1K]

Answer: D(x) = 2kg/h*x

where x is the number of hours.

Step-by-step explanation:

The information that we have is:

in 5 hours, we can prepare 10kg of dough.

With this, we can find the rate per hour, to do this we find the quotient:

R = 10kg/5h = 2kh/h

This meeans that in one hour, we can make 2kg of dough.

Then, in x hours, we can make x times 2kg of dough, then the equation will be:

D(x) = 2kg/h*x

where x is the number of hours.

5 0
3 years ago
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