You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 3 m/s. The bird is located 60 m above your head. How fast does the angle of elevation of your head change when the horizontal distance between you and the bird is 80 m? (Leave your answer as an exact number.)
Based on the rate the bird is flying and the distance above your head, the speed of change in the angle of elevation is 0.018 rad/sec.
What is the speed of the change in angle of elevation?First use the Pythogoreous theorem to find the distance between you and the bird at 80 m:
= √(60² + 80²)
= √(3,600 + 6,400
= 100 m
Cos² = 80² / 100²
= 16 /25
Differentiate this to get:
= ((-60 x 16/25) / 80²) x (-3)
= 9/500
= 0.018 rad/sec
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A square+B square=What
Pls Help me
The general algebraic identity is
A²+B²=(A+B)²-2ABLets derive
(A+B)²-4ABA²+B²+2AB-2ABA²+B²Hence verified
10. What mass of carbon dioxide is produced when 6.2
moles of propane, C3Hg is burned in oxygen?
C3H2 + ___ O2 →
O2 → _ CO2 + _ H2O
-
-
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 1
Step-by-step explanation:
[tex]\sf Sin \ 37^\circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.6 = \dfrac{0.6}{x}\\\\Cross \ multiply,\\\\ 0.6*x = 0.6\\\\x = \dfrac{0.6}{0.6}\\\\x = 1[/tex]
in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?
Answer:
1320 should be expected
Step-by-step explanation:
22 = 600
x10
220 = 6,000
x6
1320=36,000
This morning, Manuel's car had 27.24 gallons of fuel. Now, 5.7 gallons are left. How much fuel did Manuel use?
gallons
Answer:
21.54
Step-by-step explanation:
27.24 - 5.7
= 21.54
Pa help po (yung buo sana sagot)
what are you saying?
Step-by-step explanation:
i dont kno if you are a thailander or not???
find the mode of the following data set.
help please
Answer:
Step-by-step explanation:
The most repeated number is 1,
Therefore, 1 is the anser
If you use mobile payment and lose your phone, you should NOT:
OA. Cancel your card.
OB. Get a new phone and keep using the same card in the app.
OC. Remotely lock your device.
OD. If possible, clear the data off of your device.
Reason:
Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.
[PRECALC] Verify the following trigonometric identity using sin2x + cos2x = 1
Answer:
See below ~
Step-by-step explanation:
Identities :
cot x = cos x / sin xsin²x + cos²x = 1Changing the Left Hand Side (LHS) :
1/cot x + cotx1/(cos x / sin x) + cos x / sin xsin x / cos x + cos x / sin xTake (sin x)(cos x) as the LCM (Least Common Multiple)sin x (sin x) + cos x (cos x) / (sin x) (cos x)sin²x + cos²x / cos x sin x1/cos x sin xEqual to the RHSIn an in-text citation, direct quotes go in_______.
A. between parenthesis
B. between double quotation marks
C. at the end of the paragraph
D. between commas
which statement about the ellipse are true ? select three options.
Answer:
There are three main types of a solar eclipses
Step-by-step explanation:
1. Total solar eclipse: A total solar eclipse is visible from a small area on Earth. The people who see the total eclipse are in the center of the Moon's shadow when it hits Earth. The sky becomes very dark, as if it were night. For a total eclipse to occur, the Sun, Moon and Earth must be in a direct line.
2. Partial solar eclipse: This happens when the Sun, Moon and Earth are not exactly aligned. The Sun appears to have a dark shadow on a small part of its surface.
3. Annular (an-yə-lər) solar eclipse: An annular eclipse happens when the Moon is farthest from Earth. Because the Moon is farther away, it seems smaller. It does not block the entire view of the Sun. The Moon in front of the Sun looks like a dark disk on top of a larger Sun-colored disk. This creates what looks like a ring around the Moon.
Animation of the Moon moving between the Sun and Earth
During a solar eclipse, the Moon blocks the sunlight to Earth. The Moon also casts a shadow onto Earth.
I hope this helps! ;)
Please please I need help. What is the value of X
Answer:
x = 25
Step-by-step explanation:
Solving
∠CAD = 1/2 ∡ CD180° - 90° - (2x)° = 1/2 (80°)2x = 90° - 40° = 50°x = 25JoAnne wanted to add some accessories to her house. She purchased the following items; 2 decorative bowls for $46 each, a picture for $85, a lamp for $67, and four candles for $12 each. How much did she spend?
$296
$292
$290
$294
Answer:
the answer is $292 :)
have a nice day
Shreya has 40 pairs of shoes stacked in boxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answer:
80 shoes
Step-by-step explanation:
sin e a pair is 2 shoes,
Shreya has 40×2shoes
= 80 shoes
therefore, Shreya has 80 shoes
40 x 2
=80 shoes
(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )
od
2
(
2 7 1-3
1 3 1-2
6:1-6
b =
d =
IDONE
Answer:
[tex] a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix} 2 & 7\\\\1 & 3\end{bmatrix}\:\begin{bmatrix} -3 & 7\\\\1 & -2\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex]Multiply both the matrices on left side, we find:[tex]\begin{bmatrix} 2(-3)+7(1) & 2(7)+7(-2)\\\\1(-3)+3(1) & 1(7)+3(-2)\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex][tex]\rightarrow\begin{bmatrix} -6+7 & 14-14\\\\-3+3 & 7-6\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex][tex]\rightarrow\begin{bmatrix} 1 & 0\\\\0 & 1\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex]Comparing the corresponding elements of both the matrices on both sides, we find:[tex] a = \boxed{1},\: b=\boxed{0},\:c=\boxed{0},\: d=\boxed{1}[/tex]Find the area of the rhombus
Answer:
25
Step-by-step explanation:
area of the rhombus=1/2×d1×d2
1/2×5×10
=25
Yuna grows two varieties of pears—Bosc and Anjou. She took a sample of each variety to test if their average caloric contents were significantly different. Here is a summary of her results:
Calories
Variety nnn Mean StDev SE mean
Bosc 656565 120120120 151515 1.861.861, point, 86
Anjou 656565 116116116 131313 1.611.611, point, 61
99\% \text{ CI for } \mu_\text{B} - \mu_{\text{A}}\text{:}99% CI for μ
B
−μ
A
:99, percent, start text, space, C, I, space, f, o, r, space, end text, mu, start subscript, start text, B, end text, end subscript, minus, mu, start subscript, start text, A, end text, end subscript, start text, colon, end text 4 \pm 6.444±6.444, plus minus, 6, point, 44
Yuna wants to use these results to test \text{H}_0\text{: }\mu_\text{B}=\mu_\text{A}H
0
: μ
B
=μ
A
start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, equals, mu, start subscript, start text, A, end text, end subscript versus \text{H}_\text{a}\text{: }\mu_\text{B} \neq \mu_\text{A}H
a
: μ
B
=μ
A
start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, does not equal, mu, start subscript, start text, A, end text, end subscript. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the \alpha=0.01α=0.01alpha, equals, 0, point, 01 level of significance?
Answer:
The P-value is greater than α=0.01 and she cannot conclude that there is a difference between the means.
Step-by-step explanation:
did the khan assignment
which expression is greater than 4
Answer:
all numbers<4
so numbers 5 and up
Step-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 60yd find it’s length and width
Answer:
Length = 24 yd
Width = 6 yd
Step-by-step explanation:
To start out, we can begin by saying that "l" is the length of the rectangle, and "w" is the width.
Since we know that the length (l) is 4 times its width we can say that 4 times the width is equal to its length. We would write this out this way :
4w = l
Next, we know that the perimeter is 60yd (as it is given in the question). We also know that the perimeter of a rectangle is all of its sides, added. Meaning the length plus the length, plus the width and the width. So, we can use the equation :
2l + 2w = p
"p" being the perimeter. And, since the perimeter is 60, we can place in 60 for "p"
2l + 2w = 60
Now we can use this information to combine the terms, and find the width and length. We first do this by noticing that in the first equation, it shows that "l" (the length) is equal to 4w. This means that we can put 4w in place of the "l" in the second equation. We can do this, becuase we know that "l" is equal to 4w. (from the first eqaution)
2 (4w) + 2w = 60
Now, we solve
2 * 4w = 8w
8w + 2w = 10w
So now we have :
10w = 60
To get the width, all we have to do is simply get "w" alone. We can do this by dividing both sides by 10.
10w = 60
/10 /10
w = 6
Therefore, the width is 6.
Now, going back to the first equaiton, we already know that the length is 4 times the width, meaning all we have to do is multiply 6 by 4 to get the length.
6 * 4 = 24.
Therefore, the length is 24.
Lastly, to check and make sure we are correct, we can go back to the second equation. 2l + 2w = 60
2 (24) + 2 (6) = 60
2 * 24 = 48
2 * 6 = 12
48 + 12 = 60
60 = 60
Now, we officially know that the length of the rectangle is 24 and the width is 6.
Choose an image (2, 3, or 4) and answer the questions.
a. How does this image change from the previous image?
82°
57°
The measure of x is
The measure of y is
The measure of z is
to
Z
102
62⁰
Answers:
x = 16
y = 41
z = 123
==========================================================
Explanation:
Focus on the large triangle on the left.
The three interior angles of any triangle add to 180 degrees.
57+82+y = 180
y+139 = 180
y = 180-139
y = 41
-------------------
Now focus on the large triangle on the right.
We'll use the same idea as before.
x+102+62 = 180
x+164 = 180
x = 180-164
x = 16
-------------------
The last triangle to focus on is the small one in the middle.
Use the values of x and y to find z.
x+y+z = 180
16+41+z = 180
57+z = 180
z = 180-57
z = 123
Answer:
The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each. Let's first determine x.
[tex]x = 180 - (102+ 62)[/tex]
[tex]x = 180 - 164[/tex]
[tex]x = 16[/tex]
The second step that we need to do is to determine y using 82 and 57.
[tex]y = 180 - (82 + 57)[/tex]
[tex]y = 180 - 139[/tex]
[tex]y = 41[/tex]
The final step is to determine z using x and y
[tex]z = 180 - (x + y)[/tex]
[tex]z = 180 - (16 + 41)[/tex]
[tex]z = 180 - 57[/tex]
[tex]z = 123[/tex]
Therefore, x = 15 and y = 41 and z = 123
Hope this helps!
Need help please thanks
Answer: There is no zeros for this equation.
Step-by-step explanation: First, we use the quadratic formula and plug in values. -2 plus or minus the square root of 2^2 - 4*5*8.
The square root will be -39 (negative 39.) This is impossible without using complex numbers (you cannot use complex numbers to get a zero.) Negative square roots are not real. Thus, this equation has no real solution.
find the distance between the points (8, 0) and (0, B)
Answer: B
Answer:
The difference is 8
Step-by-step explanation:
Which is a property of polygons?
A polygon is a plane figure.
A polygon is a solid figure.
A polygon has a maximum of 100 sides.
A polygon is an open figure.
Answer:
The answer is, A polygon is a plane figure,
it has no limit in the number of sides, its not an open figure, its not a solid
Step-by-step explanation:
Hope it helps
Answer:
A Polygon is a plane figure
Step-by-step explanation:
Properties of polygon:
1. A polygon is a plane figure with line segments. Two dimensional figure.
2. A polygon has minimum 3 sides and has maximum limit.
3. The sum of all interior angles of the polygon is given by (n -2)*180 where n is the number of sides.
4. The sum of exterior angles of any polygon is 360
Bearing. A is on a bearing of 095° from B. What is the bearing of B from A?
Determine a series of
ABCDE onto polygon A'B'C'D'E'?
12
transformations that would map polygon
2 3 4 5 6 7 8 9 10 11 12
-12-11-10-9-8-7
C
В'
O
B
A'
O
M9848945
11
10
4321
A
6.-5 -4 -3 -2 -1
D'
7-1
Á Ẻ ồ ó có ý ới ơi đã có có n
E
-9
-10
-11
-12
Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'
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(06.01 LC) A scatter plot is shown. 10 9 8 7 6 5 4 3 2. 0 1 2 3 4 5 6 7 8 9 10 How many outliers does the graph show? (1 point) 01 02 03 4
Answer:
2 outliers
Step-by-step explanation:
(1,9) and (10,7) both are outliers.
There are 2 outliers in the given scatter plot. Therefore, option B is the correct answer.
What does outliers mean in scatter plots?An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.
From the given graph, we can see that coordinates (1, 9) and (10, 7) are not in the cluster.
These two points lies out side the cluster, so these points are outliers.
Therefore, option B is the correct answer.
Learn more about the outliers here:
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Which is an example of an isosceles right triangle?
Answer:
D.
Step-by-step explanation:
An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)
is 3/2 = to square of 2
Answer:
No, it will not
Step-by-step explanation:
as square of 2 is 4