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Finger [1]
2 years ago
14

Use triangle ABC to write the value of tanA

Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0

Answer: 28/45

Step-by-step explanation:

tan is \frac{opposite}{adjacent}.

In this case, tanA = \frac{28}{45}

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ASAP HELP FOR NUMBER 13!!
horrorfan [7]
Problem 13a

Each column of the table represents an (x,y) pairing. The first column has x = 0 and y = 2 so (0,2) is one point on this line. Since x = 0 here, this means that we have the y intercept. The y intercept is 2. We'll use this later.

Another point on this line is (3,8) which is drawn from the second column.

Use the two points (0,2) and (3,8) to find the slope m
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-0)
m = 6/3
m = 2

Since the slope is 2 and the y intercept is 2 (see above), this means m = 2 and b = 2

Plug those into y = mx+b and we get y = 2x+2

Answer: y = 2x+2

==============================================
Problem 13b

(0,20) is on the line as the first column shows. The y intercept is 20 since x = 0 here. So b = 20

Another point on this line is (3,8) as drawn from the second column

Slope: 
m = (y2-y1)/(x2-x1)
m = (8-20)/(3-0)
m = -12/3
m = -4

Use the slope (m = -4) and the y intercept (b = 20) to get...
y = mx+b
y = -4x+b ... replace m with -4
y = -4x+20 ... replace b with 20

Answer: y = -4x+20

==============================================
Problem 13c

(2,5) and (4,8) are on the line. These two points are drawn from columns 1 and 2 respectively.

Slope
m = (y2-y1)/(x2-x1)
m = (8-5)/(4-2)
m = 3/2
m = 1.5

Note: the fraction 3/2 is equivalent to the decimal form 1.5

Use the slope m = 1.5 along with (x,y) = (2,5) to find the value of b
y = mx+b
y = 1.5x+b ... m is replaced with 1.5
5 = 1.5*2+b ... plug in (x,y) = (2,5)
5 = 3+b
5-3 = 3+b-3
2 = b
b = 2

So we can now update y = mx+b to y = 1.5x+2

Answer: y = 1.5x+2

Note: If your teacher wants a fraction instead of a decimal (for the slope), then you would write y = \frac{3}{2}x+2
==============================================
Problem 13d

(0,20) is on the line. So the y intercept is 20, indicating that b = 20

(3,11) is also on the line

Again as done with 13a-13c, I'm only looking at the first two columns. 

Slope
m = (y2-y1)/(x2-x1)
m = (11-20)/(3-0)
m = -9/3
m = -3

Therefore
y = mx+b
turns int
y = -3x+20
after replacing m and b with the values we found earlier

Answer: y = -3x+20
6 0
3 years ago
Can someone please help me?
DaniilM [7]

Answer:

Equal to

Sam base_same haight

Req...=base.Haight

Parall...=base.Haight

5 0
2 years ago
You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are
professor190 [17]

69,420 ------------------------------------------------------------------------

6 0
2 years ago
The average number of transactions made at an ATM in a 20 minute period is 10. Use an appropriate probability distribution to fi
krek1111 [17]

Answer:

The probability that exactly 6 transactions will be made at an ATM in the next 20 minutes = 0.06306 = 0.0631 to 4d.p

Step-by-step explanation:

This is a Poisson distribution problem

The Poisson distribution formula is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 10 transactions per 20 minutes

x = variable whose probability is required = 6 transactions in the next 20 minutes

P(X = 6) = (e⁻¹⁰)(10⁶)/6! = 0.06306

5 0
3 years ago
Noelle ran 4 1/2 miles in the morning and 3 1/4 miles in the evening. How far did Noelle run that day?
KIM [24]
You just add all the numbers together:
3 1/8+ 4 1/2+ 4 1/4
=25/8+9/2+17/4
=25/8+36/8+34/8
=95/8
=11 7/8

Ugh.. did you type in the numbers correctly? My guess would be it was meant to be B tho :)

6 0
3 years ago
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