Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?
Answer:
(a). 2399.23 meters.
(b). 1944.19 meters apart.
Step-by-step explanation:
We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.
(a) We are asked to find how far from the shore is the ship.
We know that tangent relates opposite side of a right triangle with its adjacent side.
Therefore, the ship is approximately 2399.23 meters away from the shore.
Therefore, the both ships are approximately 1944.19 meters apart.
BRAINLIEST
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.
Answer:
X will be your answer be 126 and 110
Step-by-step explanation:
6x3x7=126
y=11x2x5=110
so X>Y
hope it helps!
What is the volume of the square pyramid? 11cm and 11cm
Answer:
1331 feet3
Step-by-step explanation:
Answer:
V = (1/3)(121 in^2)(11 in) = 443.7 in^3
Step-by-step explanation:
If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2. If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is
V = (1/3)(121 in^2)(11 in) = 443.7 in^3
what is the difference between 2.23 seconds and 3.13 seconds?
Answer:
0.9
Step-by-step explanation:
3.13-2.23=0.9
Answer:
Do you mean subtraction?
Step-by-step explanation:
If so
− 0.9 is your answer
Also bts army?
Find the length of the missing leg in the triangle below.
10 in
a
8 in
I need this answer in 30 minutes
Answer:
12.8 in
Step-by-step explanation:
a²+b²=c²
10²+8²=164
Find the square root of 164 which is 12.8
What is the value of three to the fourth power?
Shannon is dressing a mannequin for a store window to show off a new line of men's clothing. Shannon can choose from 2 different T-shirts and 8 styles of jeans. How many different ways can Shannon dress the mannequin?
ways
Answer:
16
Step-by-step explanation:
What is the volume of the circle?
Answer:
Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.
PLZ SOMEONE HELP I NEED IT DONE
If -7d - 5 = 23, then d =
Answer:
d=-4
Step-by-step explanation:
-7d - 5 = 23
-7d = 28
d = -4
Answer:-6d-3f+5
Step-by-step explanation:
In a study of simulated juror decision making, Braden-Maguire, Sigal, and Perrino (2005) investigated the type of verdict assigned by study participants after they read a 12-page summation of a case involving a battered woman who had shot and killed her husband. Of the 80 participants, 27 assigned a verdict of guilty, 49 a verdict of not guilty by reason of self-defense, and 4 a verdict of not guilty by reason of insanity. What type of chi-square test would the researchers use to determine if the distribution of verdicts differs from what would be expected by chance
Answer:
Independence chi-square test
Step-by-step explanation:
The Chi-Square Test for independence is a type of statistical hypothesis test that is used to determine the existence of an association or relationship between nominal or categorical variables
The chi-square is given by the following formula;
[tex]\chi^2 = \XXL\sum \dfrac{\left (O_i - E_i \right)^2}{E_i}[/tex]
The number of participants = 80
The number that assigned a verdict of guilty = 27
The number that assigned a verdict of not guilty by reason of self defense = 49
The number that assigned a verdict of not guilty by reason of insanity = 4
Independence Chi Square test
The table of values is presented as follows;
Expected Value = (Row sum * Column Sum)/(Grand Total)
Expected Value for Guilty = 27 × 80/80 = 27
Expected Value for Self Defense = 49 × 80/80 = 49
Expected value for Insanity = 4 × 80/80 = 4
[tex]\begin{array}{ccc}Category&Observed&Expected\\Guilty&27&27\\SelfDe&49&49\\Insanity&4&4\end{array}[/tex]
The cost for a pool membership for a family at a community pool is $350 plus $125 per month. A family paid a total of $1,350. How many
months did the family use the pool?
a-11
b-14
c-8
d-12
Answer:
The family used the pool for 8 months
Step-by-step explanation:
We know that the family paid a total amount of $1,350 dollars. We also know that they had to pay $350 dollars for joining the community pool. Lastly, they paid a monthly fee of $125 dollars. The value "x" represents months.
With that being said, here's our equation.
350 + 125x = 1,350
Subtract 350 from both sides and you should get this:
125x=1,000
Finally, divide 125 from both sides to get the x value.
x=8
:)
Please help
!!!!!!!!!!!
jmryhnrfthyj4u5ikjhgtrfrgthyjunr
I have to do 4 gallons 2 quarts of juice. Second one is 1 3/4 gallons more than the first one and how many are together.
Answer: [tex]\dfrac{43}{4}\ \text{Gallons}[/tex]
Step-by-step explanation:
Given
The first one has 4 gallons and 2 quarts of juice
The second one has 1 [tex]\frac{3}{4}[/tex] gallons more than the first
First has
[tex]\Rightarrow 4+\dfrac{2}{4}\\\\\Rightarrow \dfrac{9}{2}\ \text{Gallons}[/tex]
second has
[tex]\Rightarrow 1\dfrac{3}{4}+\dfrac{9}{2}\\\\\Rightarrow \dfrac{7}{4}+\dfrac{18}{4}\\\\\Rightarrow \dfrac{25}{4}\ \text{Gallons}[/tex]
together it is
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{18}{4}\\\Rightarrow \dfrac{25+18}{4}\\\Rightarrow \dfrac{43}{4}\ \text{Gallons}[/tex]
*LOOK AT PICTURE FOR QUESTION*
F) 20.5 in
G) 14.74 in
H) 9.3 in
J) 10.1 in
Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.
Answer: The total would be 40.53
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know.
Answer: yes, aas
Step-by-step explanation:
They have the two angles, and then the side after the angles
Which expression is equal to 16?
Answer:
D
Step-by-step explanation:
so the exponent outside of the parentheses cancels out the fractioned one inside since 3 is the reciprical of 1/3 (basically its 1/3 flipped creating 3/1)
Write the number in scientific notation.
98,000
X10^
Answer:
9.8x10^5 really hope this helps
Answer:
980,000,000,000,000
Step-by-step explanation:
A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the real distance between these cities in miles
Answer:
The real distance would be 16
Step-by-step explanation:
If the scale is 1/2, that means each distance on the map is half of what the real distance is. So 8 x 2 =16.
Answer:
80 miles.
Step-by-step explanation:
Since 1/2 an inch is 5 miles, that would mean one inch is 10 miles. Now that we know one inch is 10 miles, we can multiply 10 x 8 to get 80. Therefore, the real distance between the two citied is 80 miles.
Hope it helped and have a great day :)
Which Number sentence is true?
Answer:
I took this a few days ago and if I remember correctly, it was B.
Answer:
it would be option B. I used a calculator, so I should be right.
Donations of $375 in February to a homeless shelter are 250% of what they were in January. What were the donations to the shelter in January?
Answer:
$150
Step-by-step explanation:
$375 was donated to a homeless shelter in February
250% of this sum was donated in January
Hence the amount donated in January can be calculated as follows
375×100/250
= 37500 250
= 150
Hence the amount donated in January is $150
Six Less than four times a number is
-70
The answer is 286
Step-by-step explanation:
70 x 4 = 280 plus 6 equals 286
Find the value of each expression. Show work. a) (4 + 3*2)= (10 -5) b) 3+ (6-2) x 32
help pls this is confusing me
Answer:
The probability is 1/10.
Step-by-step explanation:
Since there are 10 shirts in total, and only 1 red shirt, the probability of choosing a red shirt is 1/10.
It would be INSANLEY FANTABULOUS if I could receive brainliest!!!!!
I will pick you to be a brainlist and give you 100 points
Answer:
its b
Step-by-step explanation:
PLZ HELP!!! I got the 1 of the answers but I can't seem to figure out the other.
Answer:
It would be 11 since in the equation 11(x+3), you would need to multiply 11 * x along with 11 * 3 to get your answer.
Full Answer: 11x+11*3
How do you find the area of shapes like this?
Answer:
You can make it to a rectangle and a square
Step-by-step explanation:
Answer:
you split it into 2 different parts, then add the area.
the answer to this question is 18in squared
Find x
Secant tangent angles
Helpppp
Answer:
x = 139
Step by Step Explanation:
What is the first quartile of the data shown in the box plot?
0 10 20 30 40 50 60 70 80 90 100
First quartile
Answer:
The first quartile is the median of the data points to the left of the median. The third quartile is the median of the data points to the right of the median. Step 4: Complete the five-number summary by finding the min and the max. The min is the smallest data point, which is 25.