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2 years ago

This is due at 9:50 please helpppppp!!!!

Mathematics

2 answers:

makkiz [27]2 years ago

5 0

The answer should be 1/2

marusya05 [52]2 years ago

4 0

Answer:

Slope=1/2

Step-by-step explanation:

Slope=rise/run

Slope= 2/4

Slope=1/2

Hope this helps!! :)

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

2 years ago

What is the slope of the function?<br> -10<br> -5<br> 5<br> 10

bixtya [17]

Answer:

m= 1/2

Step-by-step explanation:

3 0

2 years ago

The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. Nationwide, th

TiliK225 [7]

Answer: in order to qualify, the time must be at least 15.93 minutes

Step-by-step explanation:

Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = 12.8 minutes

σ = 3.7 minutes

in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%

The z score corresponding to 80% on the normal distribution table is 0.845

Therefore,

0.845 = (x - 12.8)/3.7

0.845 × 3.7 = x - 12.8

3.13 = x - 12.8

x = 12.8 + 3.13 = 15.93

7 0

2 years ago

How many solution does the system have 6y+5x=8;2.5x+3y=4

mote1985 [20]

Solve by Elimination:
6y+5x=8
2.5x+3y=4
Multiply the second equations by 2:
5x+6y=8

we know see that both equations are the same line, this means that there is an infinite amount of solutions to the equation

6 0

2 years ago

Please help, thank you guys

DiKsa [7]

Step-by-step explanation:

1) 165⁰

2) 180⁰

Note:FOR initial temperature check the temperature at t=0

I hope it helped you

6 0

1 year ago