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Papessa [141]
3 years ago
9

Find the missing side of The Triangle ​

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Step-by-step explanation:

By phythagorous theorem,

AC²=AB²+BC²

AC²=36+64

AC²=100

AC=root of 100

AC=10

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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks, and it will cost an additi
VARVARA [1.3K]

Answer:

Equation: $3500+$225s=c

To transport 16 tons of sugar the Sugar Sweet Company will need $7100

Step-by-step explanation:

Notes:

$3500 to rent truck

$225 for each ton of sugar

S is sugar in tons

C is total

Truck is a set cost so you leave it alone

Sugar in the truck is $225 each ton in this case its 16 tons

$3500+$225S=C

Plug in: $3500+$225(16)=C

$3500+$3600=C

C=$7100

5 0
3 years ago
What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x2+3 ?
VladimirAG [237]
Important:  If you're discussing squares, please express "the square of x" as x^2 (not as x2).  

Please note that your y=x^2+3 is NOT a line.  I will assume (probably incorrectly!) that you meant y=2x+3.  The slope of this line is 2, so the slope of any line perpendicular to y=2x+3 is -1/2.

Now use the point-slope equation of a straight line:

y-8 = (-1/2)(x-1)   (answer)


6 0
3 years ago
What is the solution to the equation
Dafna11 [192]
\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6

therefore
D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
Answer: t = -1.


7 0
3 years ago
Read 2 more answers
y = I - 4 y = -1 +6 y Ꮖ h What is the solution for this system of equations? O (6, - 4 ) O(-4, 6) , 6 (5, 1) O (1,5) A Question
dybincka [34]

Answer:

y=1/5=0.5

Step-by-step explanation:

5 0
3 years ago
URGENT
Lynna [10]
The answer would be A. 3 1/2.
Explanation
First find a common denominator, which would be 6. You times the top number the same amount of times you times the bottom number to get the common denominator, so now it's 1 4/6 + 1 5/6 now you add, 1+1=2, now you need to add 4 and 5 together, bc they are the top numbers of the fraction. That would be 9 so now the problem is 2 9/6, now we simplify the fraction so that it is 3 3/6 now that simplifies into 1/2 so the answer is 3 1/2
4 0
3 years ago
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