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lyudmila [28]
3 years ago
13

The trapezoid below has legs with lengths y feet and one base that is four feet longer than the other base, x.

Mathematics
1 answer:
Rudiy273 years ago
6 0

The equation for the leg length, y is y = (P - 2x - 4)/2

The length of the leg "y" is 3 feet

a) Given the perimeter of the trapezoid expressed as:

P=2x + 2y + 4.

We are to make <em>y the subject of the formula </em>as shown:

P = 2(x+y) + 4

P - 2x = 2y + 4

P - 2x - 4 = 2y

Swap

2y = P - 2x - 4

y = (P - 2x - 4)/2

Hence the equation for the leg length, y is y = (P - 2x - 4)/2

b) Give that P = 26 feet and x = 8feet

y = (P - 2x - 4)/2

y = (26 - 2(8) - 4)/2

P = 26-20/2

P = 6/2

y = 3 feet

This shows that the length of the leg "y" is 3 feet

Learn more here: brainly.com/question/18370541

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PLEASE! PLEASE! help!
qaws [65]
1.) The answer is 825.75 (multiply the given tax rates to the gross pay)
    2,785 x 13% federal taxes = 362.05
    2,785 x 9% state tax         = 250.65
    2,785 x 7.65% FICA          = <u>213.05
</u>                                                 825.75
<u>
</u>2.) The answer is 288.60 (multiply the interest rate to the balance, no need to add a late payment fee since they paid on 6/1, not after)
    2,748.56 x 10.5% = 288.60

3.) The answer is 182.13  (multiply the APR to the original purchase price, no need to add the sales tax)
<u />    1,500 x 11.75% = 182.13

4.) The answer is 371.92 (deduct the reward to the interest)
    Interest : 2,975.34 x 13.5% = 401.67
    Reward : 2,975.34 x 1%      = <u>  29.75</u>  
                                                    371.92

5.) The answer is  1,339.13 (deduct the interest to the monthly payment)
    Monthly payment : 2,236.00
    Monthly interest :   <u>   896.87</u> [(231,450 x 4.65%) / 12 months]
<u />                                    1,339.13

Hope this helps! :)
4 0
3 years ago
What is the error in this problem
dlinn [17]

Answer:

10). m∠x = 47°

11). x = 30.96

Step-by-step explanation:

10). By applying Sine rule in the given triangle DEF,

   \frac{\text{SinF}}{\text{DE}}=\frac{\text{SinD}}{\text{EF}}

   \frac{\text{Sinx}}{7}=\frac{\text{Sin110}}{9}

   Sin(x) = \frac{7\times (\text{Sin110})}{9}

   Sin(x) = 0.7309

   m∠x = \text{Sin}^{-1}(0.7309)

   m∠x = 46.96°

   m∠x ≈ 47°

11). By applying Sine rule in ΔRST,

   \frac{\text{SinR}}{\text{ST}}=\frac{\text{SinT}}{\text{RS}}

   \frac{\text{Sin120}}{35}=\frac{\text{Sin50}}{x}

   x = \frac{35\times (\text{Sin50})}{\text{Sin120}}

   x = 30.96   

4 0
3 years ago
HELP !! Find the x with the details in this picture^^
zvonat [6]

Answer:

x = 3.9

Step-by-step explanation:

So the whole angle PQS = 111 degrees

it gave you part of it so subtract that off . 111 - 72 = 39 degrees

10 times what equals about 39 degrees.

39/ 10 = 3.9

5 0
4 years ago
A patient is to receive 2.6 grams of medication. The medication is available in capsules of 325 milligrams. How many capsules sh
sesenic [268]
2.6 gr = 2,600 mgr
2,600 mgr /325=8
Answer is 8 capsules
8 0
3 years ago
Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The
Lorico [155]
<h3><u>Given</u>:-</h3>

  • Volume 6,900 cm^3
  • Length = 23 cm
  • Width = 10cm

<h3><u>To Find</u>:-</h3>

  • Height of box ??

<h3><u>Solution</u>:-</h3>

\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\;  of  \; box :-}}}}\\

\\ \pink \star \:  \: {\underline{\boxed {\bf{  Volume_{ \red{ \{Rectangle \}}}  \: = l  \times w  \times  h }}} }\; \red\bigstar  \\

Where,

  • » l denotes Length
  • » w denotes Width
  • » h denotes Height

\\  \sf \implies \: {Volume_{ \red{ \{Rectangle \}}}  \: = l  \times w  \times  h} \\

\\  \sf \implies \: { 6,900 \:   = \: 23 \:    \times  \: 10 \:   \times  h} \\

\\  \sf \implies \: { 6,900 \:   = \:  230 \:   \times \:   h} \\

\\  \sf \implies \: {  \: h  \:   = \:   \frac{6900}{230}  \:  } \\

\\  \sf \implies \: {  \: h  \:   = \:   30 \: {cm }^{3}   \:   } \\

\\ \implies{\underline{\boxed{\frak { Height = 30  \: cm^3 }}}} \; \purple\bigstar \:  \\

\\\qquad \rule{120pt}{3pt}\\

Therefore , the Volume of the Box is 30 cm ³.

5 0
2 years ago
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