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3 years ago

If RT=36, find the value of x

Mathematics

1 answer:

Talja [164]3 years ago

8 0

Answer:

Step-by-step explanation:

So we know that RT is 36.

Note that RT is the combined length of RS and ST. Therefore:

$RT=RS+ST$

Substitute. RT is 36, RS is 6x+1 and ST is x+7:

$36=(6x+1)+(x+7)$

Combine like terms and add:

$36=7x+8$

Subtract 8 from both sides:

$28=7x$

Divide by 7:

$x=4$

So, our answer is 4 :)

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A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is

Klio2033 [76]

Answer:

<h2>The perimeter of the cross section is 30 centimeters.</h2>

Step-by-step explanation:

In this problem we have the intersection of a rectangular prism an a plane.

The dimensions of the rectangular plane are

$l=12cm\\w=6cm\\h=9cm$

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

$w=6cm\\l=9cm$

Because only the height would be cut.

So, the perimeter of the rectangle cross-section is

$P_{cross}=2(l+w)=2(6+9)=2(15)=30cm$

Therefore, the perimeter of the cross section is 30 centimeters.

3 0

2 years ago

tom rides the bus part of the way to school and then he walks the rest pf the way. he walks five minutes longer than he rides. t

ruslelena [56]

Answer:

16 minutes

Step-by-step explanation:

Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:

27 - 5 = 22

Now that you have done this, divide 22 by 2:

22/2 = 11

Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:

11 + 5 = 16.

7 0

2 years ago

Read 2 more answers

What is the value of the geometric sequence for which a1=10 and r=0.5?

tiny-mole [99]

The formula for an infinite geometric sequence is the following:

$S_{∞}= \frac{a_{1}}{1-r}$

Just substitute the values of $a_{1}$ and r into the formula.

$S_{∞}=\frac{10}{1-0.5}$
$S_{∞}=\frac{10}{0.5}$
$S_{∞}= 20$

Therefore, the answer is 20.

3 0

2 years ago

URGENT! Can anyone explain how to solve this??

Alex

Check the picture below

the triangles are similar, the angles are congruents then

so... just add them up, and divide by 2, or set them as rational