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const2013 [10]
3 years ago
14

Fill in the blank. In the triangle below x = ______. Round your answer to two decimal places.

Mathematics
2 answers:
kirill [66]3 years ago
5 0
Tan42°=x/35

x=35tan42°  units

x≈31.51 units (to nearest hundredth of a unit)
SSSSS [86.1K]3 years ago
5 0

Answer:

x=31.51\ units

Step-by-step explanation:

we know that

In the right triangle

tan(42\°)=x/35

isolate the variable x

x=35tan(42\°)=31.51\ units

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Alex777 [14]

Answer:

D.) an investment with 12% compounded interest over 1 year.

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7 0
3 years ago
g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

6 0
3 years ago
Find the measures of the angles in the figure.
Vinvika [58]

Answer:

120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o

which agrees with the first answer in the list of possible options.

Step-by-step explanation:

We can use the fact that the addition of all four internal angles of a quadrilateral must render 360^o. Then we can create the following equation and solve for the unknown "h":

2h+2h+h+h = 360^o\\6h=360^o\\h=60^o

Therefore the angles of this quadrilateral are:

120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o

3 0
3 years ago
Read 2 more answers
Please help i been asking since yesterday
Advocard [28]

Answer:

To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

4 0
2 years ago
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Anna has 3 3/4 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies t
KiRa [710]
Turn 3 3/4 into an improper fraction, so it becomes 15/4. Then divide 15/4 by 1/3. Which would just be to multiple by the reciprocal, 15/4 times 3/1, to get 11 1/4, and since 1/4 is smaller than 1/3 the maximum number of smoothies is 11
4 0
3 years ago
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