Answer:
d = h/1.43
Step-by-step explanation:
Given
Angle of depression = 35°To Find
Distance between cargo ship and base of The Statue of LibertySolving
Let the height of the statue be 'h' and distance between it and the ship be 'd'Upon changing the viewpoint (you'll see why) to the ship viewing the top of the statue, the angle is now (90 - 35)° = 55°Then, upon taking the tan ratio of the angle between them :⇒ tan 55° = h/d
⇒ 1.43 (approx.) = h/d
⇒ d = h/1.43
[∴ Input the value of height in this formula if it is given, and you should be able to get your answer.]
In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
What is probability?Probability is the likelihood of occurrence of an event. It is given by:
Probability = number of occurrence / total possible outcomes.
Let x represent the number of students that took both maths and english, hence:
Number of students taking only maths = 20 - x
Number of students taking only english = 22 - x
26 = 20 - x + (22 - x) + x
42 - x = 26
x = 16
b) Those who took neither = 30 - 26 = 4
c) those taking only math = 20 - 16 = 4.
Percentage = (4/26) * 100 = 15.38%
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
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6. Freddy gets an allowance of £50 each month.
His parents increase is by 35%. How much does
Freddy now receive for his allowance?
Answer:
$67.5
Step-by-step explanation:
New value =
50 + Percentage increase =
50 + (35% × 50) =
50 + 35% × 50 =
(1 + 35%) × 50 =
(100% + 35%) × 50 =
135% × 50 =
135 ÷ 100 × 50 =
135 × 50 ÷ 100 =
6,750 ÷ 100 =
67.5
The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost
Answer:
$100 answers your question
What is the measure of m?
6
24
m
m= 6y[?]
Give your answer in simplest form.
Similar triangles are those triangles whose corresponding sides are in the same ratio. The measure of m is 6√4.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
In the given triangles ΔABC and ΔBCD,
∠ACB = ∠DCB {Common Angles}
∠BDC = ∠ABC =90°
Therefore, the two triangles are so, for triangles.
(6+24)/BC = m/n = BC/24
BC² = 30×24
BC = √720
Now, using the Pythagorean theorem,
AC² = AB² + BC²
30² = m² + (√720)²
900 = m² + 720
180 = m²
m = 6√4
Hence, the measure of m is 6√4.
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The area of the circle
Answer:
314 miles
Step-by-step explanation:
Area of circle: 3.14(r^2)
Now lets solve!
3.14(10^2)
3.14(100)
314
Have an amazing day!!!
Please rate and mark brainliest!!
The area of the circle formula --> [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ 3.14r: length of radius --> 10 mi[tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]
Hope that helps!
82 people were surveyed as to how many TVs they had in their homes.
What was the range in the number of TVs owned by these households?
Number of TVs per Household Frequency
0 1
1 10
2 24
3 21
4 16
5 9
6 1
Answer:
The range is 23
Step-by-step explanation:
You need to find the biggest number, and then find the smallest number. Then you need to subtract them.
1.74 multiplied by what equals 5.22
Total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?
Question:
Zeke bought g shares of stock for w dollars per share. His broker told him to sell when they earn 40% capital gain. Express the total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?
Answer:
1.40w
Step-by-step explanation:
My sister needs help
Answer:
» 15
Step-by-step explanation:
» 5*3=15
hope this helps.
Evaluate
A)9
B)-9
c) 729
d) -729
The correct option is c) 729
Explanation :-
[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex][tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.
[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex][tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex][tex] = \frac{729}{1} [/tex][tex] = \underline { \boxed{ 729}}[/tex]
When 3010 adults were surveyed in a poll, 22% said that they use the Internet. Is it okay for a newspaper reporter to write that "1/4 of all adults use the
Interer? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion
that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
Identify the null and alternative hypotheses. Choose the correct answer below.
Hypotheses:
H₀: p = .25
Hₐ: p ≠ .25
Conditions:
Random sample NOT stated -- proceed with caution!Normality: 3010(.22) = 662.2 ≥ 10 and 3010(1 - .22) = 2347.8 ≥ 10 Independence: 3010(10) = 30100 < all adults (reasonable to assume)Test statistic:
[tex]\displaystyle z = \frac{.22-.25}{\sqrt{\frac{(.25)(.75)}{3010} } } \\ \\ \\ z = \frac{-.03}{.00789} \\ \\ \\ \boxed{z = -3.8011}[/tex]
Conduct the two-tailed test to calculate the area corresponding to the positive and negative z-score.
The p-value for the lower tail is .00007205. Multiply this by two to get the area for both tails:p = .0001441Conclusion:
Since p = .0001441 < α = .05, we reject the null hypothesis. There is convincing statistical evidence that the true proportion of adults that use the internet is not equal to .25.
Factor the expression. 4b2 – 9
(2b – 3)(2b – 3)
(2b + 3)(2b + 3)
(3b + 2)(3b – 2)
(2b + 3)(2b – 3)
Let's do
4b²-9(2b)²-3²★a²-b²=(a+b)(a-b)
(2b+3)(2b-3)Hence option D is correct
Answer:
The 4th answer is correct
Step-by-step explanation:
We know that,
( a - b ) ² = ( a + b ) ( a - b )
In the same way, let us solve this sum.
4b² - 9
2²b² - 3²
( 2b - 3 ) ( 2b + 3 )
Therefore, 4th answer is correct.
Simplify the expression by
combining like terms:
-3a + 1 + a +5
Enter the number that belongs in the green box.
[? ]a +[ ]
Enter
-2a+6
Solution:Let's simplify this expression by combining like terms.The like terms are-3a, a1, 5Combine them:-3a+a+1+5-2a+6Hope it helps.
Do comment if you have any query.
Select all possible values for x in the equation
Answer:
x = ∛375
Step-by-step explanation:
This expression can be written in multiple ways:
x³ = 375
x = ∛375
x = 5∛15
Seems like x = ∛375 is the only correct answer choice.
Hope this helps!
Adam ate 2 cherries. Stella ate 3 times as many cherries as Adam.
Which number sentence shows how many cherries Stella ate?
Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?
The number of the pints of soda were drank during the party will be 14 pints.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Bob is throwing a party. He has 22 pints of soda.
At the end of the party, there are 8 pints of soda.
Then the number of the pints of soda were drank during the party will be
⇒ 22 – 8
⇒ 14
The number of the pints of soda were drank during the party will be 14 pints.
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13,14, and 15 please help it’s math!
Answer:
13) 80 in sq
14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.
15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.
Step-by-step explanation:
Answer:
13) easy but long way, count all the blue squares
harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80
14) basically the harder way but fast way mentioned above
15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34
Step-by-step explanation:
13: remember, these are coordinates and not the actual number.
these are the measurements of the blue box
length, 16-2 = 14
width, 14-4=10
these are the measurements of the white box inside the blue box
length, 14-4 =10
width, 12-6=6
find area of both which comes to 140 and 60. subtract 60 from 140 to get 80
The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?
Answer:
87
Step-by-step explanation:
use a sum or difference formula to simplify the expression Sin (x+π)
Answer:
- sin (x)
Step-by-step explanation:
Please help me with this! God bless you
Answer:
1. The wind has blown all the leaves off the tree.
2. All the leaves have fallen to the ground.
3. My kite is being flown in the wind.
4. A shower of acorns have fallen from the sky
5. A busy squirrel dug for his acorns.
6. In the garden, pumpkins have grown.
7. Yesterday my friend and I rode to the park.
8. We have rode to the skate park.
9. My brother wrote me a letter.
10. He has written a essay.
11. Our neighbor had given us a pie.
12. Mom and Dad have spoken to me about cleaning my room.
Step-by-step explanation:
x ^ 3 + 3x ^ 2 = 36x + 108
pls help
Answer:
x can equal several things that would fit
-3
-6
or
6
Step-by-step explanation:
Help picture below problem 13
Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)
Answer:
(7, 8)
I hope my answer helps you.
1dasd
2sdasd
2asdas
3adsd
2sadasd
3asdas
2sda
12sdasd
1asda
2asdasd
Find the prime factorization of 495=
Def. of Prime Factorization: defined as a way of finding the prime factors of a number
[tex]495=3^2*5*11[/tex]
Hope that helped!
Cual es la velocidad de un carro si su masa es de 1,2 toneladas y genera energía cinética de 905 J
Answer:
75 kilómetros por hora creo no estoy muy seguro
help pls
30 brainly points
Asap
Answer:
heya! ^^
we've been given an expression which is as follows -
[tex]4 {}^{2} - \sqrt{25} [/tex]
let's deal with this expression by dividing it into two separate parts which may help understand better.
______________________________________
★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]
now ,
[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]
★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]
this can also be written as " 5 " since ,
[tex] \sqrt{25} = 5[/tex]
______________________________________
let's have a look at the entire expression altogether now.
[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]
hope helpful :D
What is the y intercept of the equation-16x^2+64x+80?
Answer:
(0, 80)
Step-by-step explanation:
The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.
__
The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).
gggggggggggggggggggggg
Answer:
12/25
Step-by-step explanation:
lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.
If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48
When comparing debit cards to credit cards, which statement is TRUE?
A) Both debit cards and credit cards can improve a credit score.
B) Debit cards make it easier to fall into debt than credit cards.
C) Debit cards are more secure than credit cards for online purchases.
D) Debit cards make tracking day-to-day spending easier than credit cards.
The TRUE statement that compares debit cards to credit cards is D) Debit cards make tracking day-to-day spending easier than credit cards.
What are debit and credit cards?Debit cards are payment cards linked to the holder's bank account. Payment transactions are automatically deducted from the account.
Debit cards depend on the holder's bank balance to make payments, unlike credit cards that give access to borrowing money for purchases so that repayment may be made later.
Thus, the main difference between debit cards and credit cards is that debit cards make the holder accountable for their spending while credit cards give access to credit borrowing.
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