Answer:
[tex]x=37.4[/tex]
Step-by-step explanation:
In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).
Therefore, we have the following equation:
[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]
From a hot-air balloon, Meena measures a 37° angle of depression to a landmark
that's 1865 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
The balloon is 1405.38 feet above the ground.
Step-by-step explanation:
tan 37 = opp/adj = x/1865
tan 37/1 = x/1865
1865 tan 37 = x
x=1405.378303...≈1405.38
6+4*{3+7}=
um i need help
Answer:
46
Step-by-step explanation:
6+4×10=6+40
6+40=46
The line shown below has the equation y = 2/3x-1
The highlighted point has coordinates (-4.3).
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
can anyone help me with this pls
D should be your answer :)
50 POINTS!!!
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
[no ridiculous answers or links or i will report]
Answer:
(7,-19)
Step-by-step explanation:
(x,y) --> (x - 11, y - 9)
Substitute x=18 and y = -10 into the translation
(x,y) --> (18 - 11, -10 - 9)
(7,-19)
WILL GIVE BRAINLIEST
Answer:110 degrees
Step-by-step explanation:
Find mCFD
O 180°
O 276°
O 307°
O 53°
9514 1404 393
Answer:
307°
Step-by-step explanation:
The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...
arc CFD = 360° -(arc BF -arc ED)
arc CFD = 360° -132° +79°
arc CFD = 307°
_____
Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.
There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you get the first red marble. Let X be the number of green marbles you draw when you stop. Get the probability distribution of X and find the expectation of it
Answer:
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value for X is:
EV = 1.33...
Step-by-step explanation:
We have a total of 6 marbles in the jar.
The probability of getting a red marble in the first try (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:
P(0) = 2/6 = 1/3
The probability of drawing one green marble (X = 1)
is:
First, you draw a green marble with a probability of 4/6
Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5
The joint probability is:
P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15
The probability of drawing two green marbles (X = 2)
Again, first we draw a green marble with a probability of 4/6
Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5
Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4
The joint probability is:
P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5
The probability of drawing 3 green marbles (X = 3)
At this point you may already understand the pattern:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
finally, we draw a red marble with a probability 2/3
The joint probability is:
P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)
Finally, the probability of drawing four green marbles (X = 4) is given by:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
fourth, we draw a green marble with a probability 1/3
Finally, we draw a red marble with a probability 2/2 = 1
The joint probability is:
P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value will be:
EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)
EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33
So we can expect to draw 1.33 green marbles in this experiment.
HELP HELP HELP HELP PLZZZZZ
What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet
Answer:
26 ft
Step-by-step explanation:
15) My bag contains two books each of weight kg and 3/7 folders each of weight
kg. What is the total weight of my bag5/21? What fraction of the total weight
21
are books?
Answer:
thx for the points MWAH!
Step-by-step explanation:
Z OO
Which of the following statements are true? Check all that apply
The distance covered on a two hour bloyole ride depende on the bike'e rate of
speed Al 10 mph, the rider will cover 20 miles. Al 18 mph, she will cover 30
miles
A. Distance(16) = 30
B. Distance(30) = 16
C. Distance(20) = 10
D. Distance(10) = 20
Answer:
Step-by-step explanation:
A. Distance(16)= 30
Solve for
x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 18 degree as reference angle
using cos rule
cos 18=adjacent/hypotenuse
0.95=x/27
0.95*27=x
25.65=x
25.7=x
42 cubes of side 8cm are packed into a cuboid
64cm by 40cm by 24cm. How many more
cubes are needed to completely fill the cuboid?
Answer:
multiply itStep-by-step explanation:
thats it
Calculate the surface area of a prism with the following dimensions.
the length (l) = 13 units, the width (w) = 2 units and the height (h) = 17 units.
a.
278 sq. units
c.
562 sq. units
b.
276 sq. units
d.
987 sq. units
Answer:its B I did the quiz
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION I WILL GIVE BRAINLIEST!!!
Answer:
I think is B
Step-by-step explanation:
Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
∠A and ∠G
Step-by-Step Explaination:
I did it on
E
D
G
E
N
U
I
T
Y
Express 848.41 m in millimeters
graph triangle cuz with vertices x(-2, -4), y(2, -1), and z(4, -3) on the coordinate grid.
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including Money magazine. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
Required:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
Answer:
a) The sample mean is of 42.7 thousand dollars.
The standard deviation is of 6.38 thousand dollars.
b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Step-by-step explanation:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
Sample mean is the sum of all values divided by the number of values. So
[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]
The sample mean is of 42.7 thousand dollars.
Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So
[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]
The standard deviation is of 6.38 thousand dollars.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:
[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]
Point estimate of the difference:
42.7 - 22.3 = 20.4
The point estimate of the difference between the two population means is of 20.4 thousand dollars.
A rectangular garden has an area of 154 square feet. If its width is 11 feet, what is its length?
Answer:
[tex]Width = 14feet[/tex]
Step-by-step explanation:
Given
[tex]Area = 154[/tex]
[tex]Width = 11[/tex]
Required
The length
Area is calculated as:
[tex]Area = Length * Width[/tex]
Make Width, the subject
[tex]Width = \frac{Area}{Length}[/tex]
So, we have:
[tex]Width = \frac{154}{11}[/tex]
[tex]Width = 14feet[/tex]
Please help me solve this problem
Answer:
D, 225
Step-by-step explanation:
Because this equation already has a1, it's useless to test with that, so instead solve for a2.
You would have a2 - 5a1, which would get you a2 = 5(9) because we already know what a1 is, which is 9. a2 = 45
Now we have a2, which is 45, so now we solve for a3
We would have a3 = 5a2 = a3 = 5(45) which is 225 which is a3
Also thanks for the fat 18 points dude, you really put 36 points into this one big value hope this one helped you a lot
How do I find the margin of error?
Answer:
You can find the margin of error by using this this formula
[tex]z \times \frac{σ}{ \sqrt{n} } [/tex]
simplification of 1.5kg : 250gm
ratio question
Answer:
1500g:250g
=
6:1
Hope I could help
solve this: - 4 h = 32
Answer:
o
Step-by-step explanation:
-4h=32
h=32/-4
h=-8
stay safe healthy and happy.Answer:
h=-8
Step-by-step explanation:
-4h=32
Isolate h by dividing -4 on both sides
h=32/-4
Simplify
h=-8
If this helps please mark as brainliest
Can someone please answer= 20 points
Below is a geometric sequence, what numbers CANNOT be apart of the sequence? Select all that apply.
F(1)=___
F(2)=-16
F(3)=___
F(4)=-256
a.-4
b.4
c.64
d.-64
e,1024
f.-1024
Pls give explanation if possible...
(a) 34 is 85% of what number?
Answer:
[tex]40[/tex]
hope this helps you.
Can I have the brainliest please?
Tenley makes stained glass windows. She used this piece of stained glass in one of the windows. How many right angles does this piece of stained glass appear to have?
Answer:
I think its 0
Step-by-step explanation:
Can someone help me out my math grads are bad
Answer:
First answer: 5x+8x+9+3+4
Second answer: 13x+16
A pool in the shape of a rectangular prism has a length of 12 m, a width of 6 m, and a depth of 1.5 m. Find the volume of water needed to fill the pool.
Answer:
108 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product of all its sides. 12 * 6 * 1.5 = 108