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zysi [14]
3 years ago
8

If ABCD is a rectangle and m

Mathematics
2 answers:
andrey2020 [161]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Angle in a triangle add up to 180

since this is an isosceles triangle two angles are the same

180-(47+47)=86

Opposite angles are equal

Angles around a point add up to 360

360-(86+86)=188

188/2=94

94 degrees

C

MatroZZZ [7]3 years ago
3 0

Answer:

94

Step-by-step explanation:

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Find the surface area of the prism.
Gemiola [76]

Answer:

104 in

Step-by-step explanation:

5 0
3 years ago
Find the unit vectors that are parallel to the tangent line to the parabola y = x2 at the point (2, 4).
skelet666 [1.2K]

Answer:

The unit vectors are:

\vec u_1 = \left\\\vec u_2 = \left

Step-by-step explanation:

Unit vectors that are a parallel to the tangent line have the same slope than the tangent line, thus we can find the slope of the tangent line, find directional vectors and then their corresponding unit vectors.

Finding the slope of the tangent line.

We can find the first derivative of the curve, which represents the slope of the tangent line of the curve at that point.

y = x^2 \\ y'=2x

At x = 2 we have

y'= 2(2)\\y'= 4\\

Thus we have slope m = 4, then the parallel unit vector has slope m = 4/1

Finding unit vectors.

From the slope m = 4/1, we can write it as a direction vector with x =1 and y = 4. Notice also that x = -1 and y = -4 would have given as as well slope m = 4 too.

\vec u =

Then in order to find the unit vector on that direction we can use the formula

\hat u =\cfrac{\vec u}{|\vec u|}

So finding the magnitude we get

|\vec u |= \sqrt{(1)^2+(4)^2}\\|\vec u| = \sqrt{17}

Then one unit vector that is parallel to the tangent line is

\vec u_1 = \left

And the second unit vector is

\vec u_2 = \left

The negative sign on both x and y components just tell us that we are aiming on the opposite direction as the first unit vector, yet both have the same value of the slope.

6 0
3 years ago
The net of a pyramid shown below. What is the surface area for the solid
Vlad1618 [11]

Answer:

245in

Step-by-step explanation:

<u>Square</u>

7x7=49in

<u>Triangle</u>

14x7/2=49in

49x4=196in

<u>Altogether</u>

196in + 49in = 245in

pls mark brainliest....:)

3 0
3 years ago
What is equivalent to log(xy)?​
Mariulka [41]

Answer: log(x)+log(y)

Step-by-step explanation:

6 0
3 years ago
Carbon-141414 is an element that loses about 10\%10%10, percent of its mass every millennium (i.e., 100010001000 years). A sampl
Eduardwww [97]

Answer:

S(t) = 600*0.9^t

Step-by-step explanation:

At the beginning (t = 0) the sample has 600 grams. After 1 millennium from today (t = 1) the mass will be: 600 - 600*0.1 = 600*0.9. After 2 millennium from today (t = 2) the mass will be the 90% of the mass in the previous millenium, that is: 600*0.9*0.9 = 600*0.9^2. Analogously, at time = 3, sample's mass will be: 600*0.9^2*0.9 = 600*0.9^3. In a table format, that is

t       m

0      600

1       600 - 600*0.1 = 600*0.9

2      600*0.9*0.9 = 600*0.9^2

3      600*0.9^2*0.9 = 600*0.9^3

Therefore, sample's mass in grams, S(t), where t refers to millennia from today is computed as follows: S(t) = 600*0.9^t

7 0
3 years ago
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