A shark is swimming 42 feet below sea level. If the angle of depression from a boat on the water to the shark is 23°, what is the horizontal distance between the boat and the shark? Show your work to receive full credit. Round to the nearest hundredth if necessary.
Answers
Answer:
BC ≈ 98.95 feet
Step-by-step explanation:
From the figure attached,
A shark is swimming 42 feet below sea level at point A and a boat on the water is at point C.
If the angle of depression from the coat to shark is 23°,
tan(23°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(23°) = [tex]\frac{AB}{BC}[/tex]
BC = [tex]\frac{AB}{\text{tan}(23)}[/tex]
BC = [tex]\frac{42}{\text{tan}23}[/tex]
BC = 98.947
BC ≈ 98.95 feet
Related Questions
a recipe for sparking grape juice calls for 1 1/2 quarts of sparking water and 3/4 quarts of grape juice. how much sparking water would you need to mix with 9 quarts of grape juice?
Answers
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Step-by-step explanation:
1 1/2 is double of 3/4 so you just need to double 9 quarts of grape juice
Answer:
18 quarts of sparkling water
Step-by-step explanation:
9÷0.75=12 to figure how many times the recipe is multiplied.
12x1.5=18 to figure out how much sparkling water
3/4 = 0.75
1 1/2 = 1.5
7x + 4 = 25, then x is equal to
a) 29/ 7 b) 100/7 c) 2 d/ 3
Answers
Answer:
d) 3
Step-by-step explanation:
7x+4=25
7x=21
X=3
Answer: D. 3
Step-by-step explanation:
Given
7x+4=25
Subtract 4 on both sides
7x+4-4=25-4
7x=21
Divide 7 on both sides
7x/7=21/7
x=3
Hope this helps!! :)
Please let me know if you have any questions
Ricardo wants to install a dog run in his backyard. If he wants it to be 15 feet wide by 18 feet long, how much fencing will he need to install? Use the formula P= 2L + 2W to solve. PLEASEEE HELPPP
Answers
Answer:
56 feets
Step-by-step explanation:
Length, L = 15
Width, W = 18
Using the relation ; Perimeter, P :
P= 2L + 2W
P = 2(15) + 2(18)
P = 20 + 36
P = 56 feets
$420 is divided between A, B and C. B receives $20 less than A, and C receives half as much as A and B together. how much does each receive?
Also could you explain the answer?
Answers
Answer:
A = $150
B = $130
C = $140
Step-by-step explanation:
Let the amount received by a be $x
b receives $20 less than a;
we have that;
b = x - 20
c receives half of Sum A and B
c = (x + x-20)/2
c = (2x-20)/2
c = x - 10
Add all and it gives 420
x - 10 + x -20 + x = 420
3x -30 = 420
3x = 420 + 30
3x = 450
x = 450/3
x =$150
a = 150
b = x - 20; 150 - 20 = 130
c = x-10
c = 150-10
c = $140
Is a bucket used to carry water more likely to have a capacity of a pint or a gallon
Answers
Answer:
well it depends on the size of the bucket but some buckets may be a gallon but then some are bigger id-k if this makes sense im srry
Step-by-step explanation:
HELP ME WITH THIS PLEASE
Answers
9514 1404 393
Answer:
Part A: B
Part B: 1
Step-by-step explanation:
Part A:
The meaning of "at most" is "less than or equal to." If we assume that the variables x and y represent numbers of loaves of banana bread and nut bread, respectively, then the first problem statement tells you ...
x + y ≤ 30 . . . . . the total of loaves baked is at most 30
Only one answer choice has this inequality listed: choice B.
__
Part B:
The numbers of loaves of bread will not be negative. The only quadrant that has both coordinates positive is the 1st quadrant.
__
Comment on quadrant
Real-world problems involving numbers of items are often expressed in terms similar to those seen here. The assumption that is made in all such problems is that the quantity of items cannot be negative. That is, the constraints x ≥ 0 and y ≥ 0 are always considered part of the problem description. These limit solutions to Quadrant 1. (or I, if you use Roman numerals for numbering quadrants)
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answers
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
Learn more about compound interest here:
https://brainly.com/question/14295570
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Divide. 0.996 ÷ 0.12
Answers
Answer:
8.3
Step-by-step explanation:
Answer:
- 0.996 - Percentage increase =
- 0.996 - (12% × - 0.996) =
- 0.996 - 12% × - 0.996 =
(1 - 12%) × - 0.996 =
(100% - 12%) × - 0.996 =
88% × - 0.996 =
88 ÷ 100 × - 0.996 =
88 × - 0.996 ÷ 100 =
- 87.648 ÷ 100 =
- 0.87648 ≈
- 0.88
Step-by-step explanation:
pls brainlsit
PLEASE HELP MANY POINTS AND WILL MARK BRAINLIEST
Answers
Answer:
x=42
Step-by-step explanation:
i don't know how to explain it??
not good at explaining things
Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain. No. Both recipes call for more than 1 cup, so the recipes will use more than 2 cups altogether. No. Both recipes call for more than half a cup, so the recipes will use more than 1 cup altogether. Yes. Both recipes call for exactly 1 cup, so the recipes will use exactly 1 cup altogether. Yes. Both recipes call for less than half a cup, so the recipes will use less than 1 cup together
Answers
Answer:
3.4/6
Step-by-step explanation:
No, Lynn do not have enough water to make her snack.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, the recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit.
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
No, Lynn do not have enough water to make her snack.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)
Answers
Answer:
$114.80
Step-by-step explanation:
108 increase 6.3% =
108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804
3. A sprinkler rotates 75°, pauses, and then rotates another 75°, How many degrees did it rotate altogether?
0 degrees
140 degrees
150 degrees
160 degrees
Help?
Answers
Answer: 150 degrees
Step-by-step explanation:
The number of degrees did it rotate altogether should be considered as the 150 degrees.
Calculation of the number of degrees:Since A sprinkler rotates 75°, pauses, and then rotates another 75
So, here total degrees be like
= 75 degrees + 75 degrees
= 150 degrees
hence, The number of degrees did it rotate altogether should be considered as the 150 degrees.
Learn more about degrees here: https://brainly.com/question/18313843
357 miles in 5 hours
Answers
Answer:
71.4 mph
Step-by-step explanation:
357/5 = 71.4
I'm not sure what your question is, but hope this helps
Answer:
71.4
Step-by-step explanation:
Point D has coordinates (4, 1). What are the coordinates of Rx = 2(D)?
Answers
Answer:
The coordinates of Rₓ = [tex]2^{(D)}[/tex] = D'(0, 1)
Step-by-step explanation:
As given, D = (4, 1)
Now,
The coordinates of Rₓ = [tex]2^{(D)}[/tex] = D'(0, 1)
A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone
of uniform width, which is not to be entered during landing, surrounds the landing
pad. The landing pad and safety zone together have a combined area of 10800 ft2,
what is the uniform width (safety zone) around the landing pad?
Answers
Answer:
uniform width around the landing pad = 9.41 feet
Step-by-step explanation:
Length of landing pad = 80 ft
width of landing pad = 50 ft
Length of safety zone = (80 + 2w)
width of safety zone = (50 + 2w)
Total area = 10800 [tex]ft^{2}[/tex]
Area of landing pad = length x width
= 80 x 50
= 4000 [tex]ft^{2}[/tex]
Area of landing pad = 4000 [tex]ft^{2}[/tex]
Thus,
area of safety zone = total area - area of landing pad
= 10800 - 4000
= 6800
area of safety zone = 6800 [tex]ft^{2}[/tex]
But,
area of safety zone = length x width
6800 = (80 + 2w) x (50 + 2w)
6800 = 4000 + 160w + 100w + 4[tex]w^{2}[/tex]
divide through by 4,
1700 = [tex]w^{2}[/tex] + 65w + 1000
⇒ [tex]w^{2}[/tex] + 65w + 1000 - 1700 = 0
[tex]w^{2}[/tex] + 65w -700 = 0
Applying the quadratic formula,
w = (-b ± [tex]\sqrt{b^{2} -4ac}[/tex]) ÷ 2a
a = 1, b= 65 and c = -700
w = (-65 ± [tex]\sqrt{(65)^{2}-(4*1*-700) }[/tex]) ÷ 2
= (-65 ± [tex]\sqrt{7025}[/tex]) ÷ 2
= (-65 ± 83.82)÷ 2
w = (-65 + 83.82) ÷ 2 OR (-65 - 83.82) ÷ 2
= 18.82 ÷ 2 OR -148.82 ÷ 2
= 9.41 OR -74.41
Thus, w = 9.41 ft.
how do you slove this equation
12 n3
-------
3(n4)2
Answers
Answer:
36n
----------------
24n
Answer:n to the fourteenth power
Step-by-step explanation:
Select all the fractions that are represented by a repeating decimal .
Answers
Answer:
A e f
Step-by-step explanation:
Hope this was helpful!!!
You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answers
Answer:
9 1/3 feet (I think)
Step-by-step explanation:
I imagined it as a grid.
Your friend moves to point (16,12)
You move to point (-12,9)
Then you set up your equation and solve.
[tex]\frac{16 + 12}{12-9}[/tex]
[tex]\frac{28}{3}[/tex]
9 1/3
Hope this helps :)
-3x>18
(not in high school in middle school)
Answers
Answer:
x<-6
Step-by-step explanation:
-3x>18
Divide by -3, flip the sign since dividing by a negative.
x<-6
Answer:
x < -6
Step-by-step explanation:
I need help again?????
Answers
Answer:
Step-by-step explanation:
Answer:
A. 180
Step-by-step explanation:
57*3 = 171
171 is about 180
Hope this helps!!!
Find the least common multiple of the set of numbers
8,9
The least common multiple of 8 and 9 is____?
Answers
Answer:
72
Step-by-step explanation:
plz mark brainliest :D
help plzz WILL MARK BRAINLIST
Answers
Answer:
224
Step-by-step explanation:
Given
f(x) = 4x² - 4x
f(-7) = 4 * (-7)² - 4 * (-7)
= 196 + 28
= 224
Hope it will help :)
Please help me! I will mark Brainliest.
What is Y and how did you do it?
Answers
Answer:
y very likely equals 3
Step-by-step explanation:
X goes up by 1 and for every 1, the y gets divided by 3. Assuming the y for 0 is 243, then divide by 3 = (1,81) and so on, becoming (4,3).
The Green family went to dinner and the bill was $67.45. Mr. Green wanted to leave an 18% tip
for the waiter. How much is the total bill?
Answers
[tex]\sqrt{\frac{2}{2}[/tex]
Answers
Square root of 1 is 1
A pair of designer sneakers was purchased for $150. Since they were purchased, their price has increased by 15%. What is the new price?
Answers
Answer:
$172.50
Step-by-step explanation:
150 increase 15% =
150 × (1 + 15%) = 150 × (1 + 0.15) = 172.5
Answer:
$172.50
Step-by-step explanation:
You have to multiply 150 by 1.15 because that is 150 plus 15% of itself.
Simplify 2x + 1 -x + 2.
Answers
Answer:
x+3
Step-by-step explanation:
Hope you have a good day, Loves!
Also if I'm right can you let me know please?
Also Also if I am right can I please have Brainliest??
(How in the hecc are three people answering this?)
5 over 4 multiplied by 12
Answers
Answer:
the answer is 15
Step-by-step explanation:
5/4 x 12 = 15
15
Step by step Explanation
[tex] \frac{5}{4} \times 12[/tex]
[tex] \frac{60}{4} [/tex]
what is 2 times 5 minus 1
Answers
what is 2 times 5 minus 1?
9
two coins are tossed at the same time. what is the probability they both land on tails?
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
30%