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alukav5142 [94]
3 years ago
5

Which algebraic expression is equivalent to the expression below? ( t/3 + 12) + (t/9 + 6)

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

4t/9 + 18

Step-by-step explanation:

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

  • brainly.com/question/9532142
  • brainly.com/question/9590016

#LearnwithBrainly

8 0
3 years ago
Solve the system of linear equations by substitution.<br> y=X-4<br> - 2x+y= 18
11Alexandr11 [23.1K]

Answer:

] y=x-4

-2x+y=18

y - x = -4

y - 2x = 18

equation [2] for the variable y

[2] y = 2x + 18

// Plug this in for variable y in equation [1]

[1] (2x+18) - x = -4

[1] x = -22

// Solve equation [1] for the variable x

[1] x = - 22

// By now we know this much :

y = 2x+18

x = -22

// Use the x value to solve for y

y = 2(-22)+18 = -26

Step-by-step explanation:

please mark me as brainlist please

4 0
2 years ago
The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number.
Leokris [45]
<span>the tens digit = n
</span><span>the units digit = n-5

n + n-5 = 9
2n = 9+5
2n = 14
n = 7  </span>←  the tens digit

the units digit = n-5 = 7 - 5 = 2

<span>the number is 72</span>
4 0
3 years ago
Read 2 more answers
Given that the triangles are similar, find the value of x. Find the length of NR.<br> S<br> T<br> 40<br> 60<br> R<br> 2x-2<br> 8
andrew-mc [135]

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

\frac{40}{8} = \frac{60}{2x - 2}

5 = \frac{60}{2x - 2}

Cross multiply

5(2x - 2) = 60

10x - 10 = 60

10x = 60 + 10 (addition property of equality)

10x = 70

Divide both sides by 10

x = 7

✔️NR = 2x - 2

Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12

6 0
3 years ago
Cherise has a bag of marbles for her little sister. It contains 10 orange marbles, 7 yellow marbles, and 3 green marbles. She dr
NemiM [27]
The probability that all marbles are yellow is
(7/20) (7/20) (7/20) = 343/8000

We are given
x = 2 and 3
u = 2.5
s = 0.5

Getting the z score
z = (2 - 2.5) / 0.5 and (3 - 2.5)/ 0.5
z = -1 and 1
The percentage is 
1 - 0.1557 = 81.5%

8 0
3 years ago
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