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Elenna [48]
2 years ago
15

Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0

Answer:  14

Step-by-step explanation:

Since they are similar, that means their side lengths are proportional.

Therefore, \frac{WX}{AB} = \frac{WZ}{AD}.

We can plug in the values we know:

Let x be the missing measurement.

\frac{16}{24} =\frac{x}{21}

We can simplify 16/24 to 2/3.

2/3 = x/21.

We can cross multiply:

42 = 3x

Therefore, x = 14

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During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the
mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

T = 0.005x^2 + 0.45x + 125

Suppose T = 141°F,

\implies 141 = 0.005x^2 + 0.45x + 125

\implies 0.005x^2 + 0.45x + 125 - 141 =0

\implies 0.005x^2 + 0.45x - 16=0

Since, a quadratic equation ax^2 + bx + c =0 has,

Real roots,

If Discriminant, D = b^2 - 4ac \geq 0

Imaginary roots,

If D < 0,

Since, 0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0
3 years ago
You are designing a rectangular pet pen for your new baby puppy. You have 35 feet of fence barrier. You decide that you would li
Zielflug [23.3K]

Hello from MrBillDoesMath!

Answer:

l = 12 feet,  w = 5.5

Discussion:


Let w be the width of the pen and "l" the length. From the problem statement

l = w + 6.5  and the perimeter, P, of the fence -= 35.

Now the perimeter of the rectangle is given by the formula

P = 2l + 2w.  

In our case, P = 35 and l = w + 6.5 so the equation becomes:

35 = 2(w+6.5) + 2w =>

35 = 2w + 13 + 2w =>

35 = 4w + 13  =>         (subtract 13 from both sides)

35-13 = 4w  =>

22 = 4w =>

w = 22/4 = 5.5 feet

As, l = w + 6.5, l =  5.5  + 6.5 = 12 feet


Thank you,

MrB

3 0
3 years ago
Find the length of each side of the polygon for the given perimeter
butalik [34]

Answer:

choice number 2) 10 in, 18.5 in 31.5 in

Step-by-step explanation:

we collect and evaluate the like terms.like terms means the ones that can be evaluated. like 2y and 7y are like terms. they either can be added or subtracted to get an answer . 7y-2y =5y. but you cant subtrac or add 7y  with 5 because they are not like terms.

2y +1 + 7y + 3y + 5 = 60

(2y+7y+3y)+(1+5) = 60

12y + 6 = 60

The 6 crosses the equal sign to the other side because of like terms.And becomes a minus

12y = 60 - 6

12y = 54

y = 4.5

so,

2y +1= 2 x 4.5 + 1 =10

7y = 7 x 4.5 = 31.5

3y + 5= 3 x 4.5 + 5 =18.5

Answer is 10 in, 18.5 in, 31.5 in

If you need any clarification or more explanation pls do mention at the comment section so that i can help more thx

Hope this helps and if it does pls mark as branliest answer thx

8 0
3 years ago
The value of a new car decreases by 10% in the first year. How much will a car be worth after one year if it’s initial value was
yan [13]

Answer:

$36000

Step-by-step explanation:

$40 000(0.10) = $4000

$40000 - $4000 = $36000

5 0
3 years ago
Can y’all explain what I have to do and z help me
zysi [14]

Answer:

Step-by-step explanation:

The answer is D. Both are negative because they're both elevations below 0. However, -7 is higher, or closer to the regular level, because -10 is simply farther down.

5 0
3 years ago
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