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sdas [7]
3 years ago
6

Find the percent decrease. Round to the nearest percent. From 90°F to 70°F

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

Answer:

22

Step-by-step explanation:

90*x = 70

x = 7/9

x = 78%

100-78 = 22

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A triangle has a perimeter of 49 centimeters. each of the two longer sides of the triangle is three times as long as the shortes
murzikaleks [220]
Two sides are 3x longer than the shortest side. So, set up your problem like this.
  X = unknown length in centimeters 
3X = length of two longer sides
1X = length of short side
3x + 3x + 1x = 49
7x  = 49 
x = 7
So, two longer sides are 21 centimeters each and the short side is 7 centimeters.
  21+21+7 = 49
7 0
3 years ago
Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines
hichkok12 [17]

\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA

\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv

where J is the Jacobian matrix for the transformation,

J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15

We have

9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5

so that the integral is

\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}

5 0
4 years ago
3(2x + 5) 2 2(x + 6)
puteri [66]

Answer:

i recommend you watch videos on youtuube about equations and take notes.

Step-by-step explanation:

6 0
3 years ago
Help could you explain step by step?
mel-nik [20]

Answer:

x = 2 , y = 11

Step-by-step explanation:

the diagonals of a parallelogram bisect each other , then

PT = TR , that is

y = 5x + 1 → (1)

QT = TS , that is

2y = 6x + 10 → (2)

substitute y = 5x + 1 into (2)

2(5x + 1) = 6x + 10

10x + 2 = 6x + 10 ( subtract 6x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

substitute x = 2 into either of the 2 equations for corresponding value of y

substituting into (1)

y = 5(2) + 1 = 10 + 1 = 11

6 0
2 years ago
Read 2 more answers
The angle of elevation to the top of a 30-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro
sammy [17]
We are given an angle of elevation of 2 degrees and distance in the x axis of 5280 feet and we are asked in the problem to determine the height of the building. We use the tangent function to determine the height: that is tan 2 = h / 5280; h is equal then to 184 ft.
3 0
3 years ago
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