You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse
Answer: 2000.25 ft
Step-by-step explanation:
Given
Height of lighthouse [tex]h=175\ ft[/tex]
Angle of elevation [tex]\theta=5^{\circ}[/tex]
Suppose, you are x feet away from lighthouse
From the figure, we can write
[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]
Thus, the ship is 2000.25 ft away from the light-house
There is a special baking tray for skinny cakes whose length is 13 more than 2 times its width, and the area is 115 square inches. What are the dimensions of the baking tray?
Answer:
5 inches by 25 inches
Step-by-step explanation:
From the question,
Let the width of the baking tray be(w) = x inches,
Then the lenght of the baking tray(l) = (2x+13) inches
If the area of the baking tray = 115 square inches
Applying,
A = lw................. Equation 1
Therefore,
x(2x+13) = 115
2x²+13x = 115
2x²+13x-115 = 0
Using factorization method to solve the quadratic equation
2x²-10x+23x-115 = 0
(2x²-10x)+(23x-115) = 0
2x(x-5)+23(x-5) = 0
(2x+23)(x-5) = 0
Either
2x+23 = 0
x = -23/2
or
x-5 = 0
x = 5.
dimensions of the tray is
w = 5 inches
l = (2×5)+15 = 10+15 = 25 inches
Hence the dimensions of the baking tray = 5 inches by 25 inches
Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?
Answer:
9h
Step-by-step explanation:
Given data
Sofia earns $9 per hour mowing lawns
Let the total amount earned be t
and let the time worked be h
Hence
t= 9*h
t= 9h
The expression is 9h
$5 out of every $100 a worker earns goes for clothes. On $4,000 a year wages, how much does he spend on clothes?
If $5 out of every $100 a worker earns goes for clothes, the worker spends $200 on clothes from a $4,000 annual wage.
To determine how much a worker spends on clothes from a $4,000 annual wage, we need to calculate 5% of that amount.
The worker spends $5 out of every $100 earned on clothes. This means the worker spends 5% of their earnings on clothes.
To find 5% of $4,000, we can multiply $4,000 by 0.05:
$4,000 * 0.05 = $200
This calculation is based on the assumption that the worker consistently spends 5% of their income on clothes throughout the year.
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What is the value of x?
sin(x + 25)" = cos(2w +20)".
Answer:
the value is 1789 trust me out that in
Step-by-step explanation:
it just is
In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.
142 had investments in stock funds.
84 had investments in bond funds.
67 had investments in money market funds.
50 had investments in stock funds and bond funds.
33 had investments in stock funds and money market funds.
35 had investments in bond funds and money market funds.
21 had investments in stock funds, bond funds, and money market funds.
(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)
(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)
(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)
Answeni ideAA{
}
Step-by-step explanation:
Please help ! What’s the answer ?!!
Answer:
x= 70
Step-by-step explanation:
Simplify. Write the answer using scientific notation.
8(710-3)
A. 56 x 10-3
B. 5.6 *10-2
C. 4.48 x 10-1
Answer:
A. 56×10 -3
Step-by-step explanation:
Just multiply 8 and 7 and number of zeros should remain same.
[tex]8(7 \times 10 {}^{ - 3} ) \\ 56 \times 10 {}^{ - 3} [/tex]
convert the decimal number 356 to a Quinary number
Answer : Yes the answer to your question is 2411.
Explanation : how I got the answer
To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:
To convert integer 356 to quinary, follow these steps:
Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent quinary number.
356 / 5 = 71 with remainder 1
71 / 5 = 14 with remainder 1
14 / 5 = 2 with remainder 4
2 / 5 = 0 with remainder 2
Here is the answer to 356 decimal to quinary number:
2411
solve 5w=- -75 please help me
Answer:
Step-by-step explanation:la neta ni idea ♀️
how long will they take to make 504 muffins if they will be using 4 ovens?
Answer:
,♀️♀️♀️☺️️️️️️⚖️⚖️❤️❤️❤️❤️️️☘️️️☃️⭐njdjdnfjfnfnfnf
Which radical expressions are equivalent to the exponential expression
below? Check all that apply.
Step-by-step explanation:
:)
Hola bro espero y te sirva
HELPPPPP!!!! ASAPPPPP!!!!!
Answer:
24
Step-by-step explanation:
XW=WY=12
If the opposite angle is 30, the hypotenuse is double the small side.
XZ=XW=2·12=24
Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions of the bottom of each pan are shown below.
Which sentence explains why polygon ABCDEFGH is congruent to polygon MNOPQRST?
A.
A sequence of translations will map MNOPQRST onto ABCDEFGH.
B.
A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH.
C.
A sequence of rotations will map MNOPQRST onto ABCDEFGH.
D.
A sequence of reflections will map MNOPQRST onto ABCDEFGH.
Answer:
correct option if Option D
Answer:
The answer is B.
Step-by-step explanation:
It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.
The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.
Sorry about how vague this is. It's hard to explain this without diagrams.
A rectangular room has an area of 12 m².the length of the room is 4m. what is the width of the room?
Answer:
3
Step-by-step explanation:
area of rectangle = length × width
so the the given area is 12
area of rectangle is 12 = 4 × width
so when we multiply 4 × 3 we get 12
and the final answer is ...
area of rectangle = length × width
4× 3 = 12
This is the hardest question on here and it’s worth points so I need help
Answer:
P = 11 4/5
Step-by-step explanation:
Let L = 2 1/2 and w = 3 2/5
[tex]P=2(2\frac{1}{2})+2(3\frac{2}{5})\\\\P=5+6\frac{4}{5}\\\\P=11\frac{4}{5}[/tex]
The perimeter as a mixed number is P = 11 & 4/5, but it seems like your teacher only wants the whole part of the answer. So you'll just type 11.
============================================================
Work Shown:
1/2 = 0.5
2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
This shows that L = 2.5 ft
Similarly, W = 3.4 ft because 3+2/5 = 3+0.4 = 3.4
-----------------
Plug those L and W values into the perimeter formula
P = 2L + 2W
P = 2*2.5 + 2*3.4
P = 5 + 6.8
P = 11.8
now convert back to a mixed number
11.8 = 11 + 0.8
11.8 = 11 + 8/10
11.8 = 11 + 4/5
11.8 = 11 & 4/5
The perimeter is 11 & 4/5 ft. In other words, the perimeter is 11 whole feet plus an additional 4/5 of a foot.
Your teacher seems to only want the whole part of the answer, assuming they only want the stuff in the box indicated with a question mark. If that's the case, then you'll type 11 into the box to write the final answer.
Please help me solve my problem!!!
True
Hope this helps! :)
______________
What is the length of Line segment A C?
Answer:
12
Step-by-step explanation:
The triangles are similar because they have the same angles.
Make a proportion to solve for AC which we will substitute with variable x.
AM = MB = 4
AB = AM + MB = 8
BN = NC = 3
BC = BN + NC = 6
big triangle sides: 8, 6, x
small triangle sides: 4, 3, 6
now we can write proportion.
8/4 = x/6
x = 12
AC = 12
Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 (2)=2x−1
Answer:
[tex]9^{2x-1} = 2\\[/tex]
Step-by-step explanation:
According to the law of logarithm;
[tex]If \ log_ab = x\\a^x = b[/tex]
Given
[tex]\log_9\left(2\right)=2x-1[/tex]
Comparing with the original expression;
a = 9, b = 2 and c = 2x - 1
Substitute into the result indicinal expression;
[tex]9^{2x-1} = 2\\[/tex]
This gives the required exponential equation
I need help with this question
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot represents their reported number of hours of phone usage per week.
Answer:
where is the dot plot??
Step-by-step explanation:
plzz helppp it's due today
Answer:
8
Step-by-step explanation:
use trig functions
2 sides and 1 angle given
Sides given
hypotenuse -> xopposite side to 30˚ -> 4Angle
30˚trig function associated with hyp and opp is sin
sin(x) = opp/hyp
substitute
sin 30˚ = 4/x
solve for x
0.5 = 4/x
0.5x = 4
x = 8
Answer:
Step-by-step explanation:
sin 30° = [tex]\frac{4}{x}[/tex]
x = [tex]\frac{4}{sin 30}[/tex]
x = [tex]\frac{4}{0.5}[/tex]
x = 8
Line p and line q are ______
Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)
Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles
The distance travelled by the Lucas will be equal to 105 miles.
What is an average speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
The average speed is defined as the total distance travelled by train in total time.
Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.
Time = 105 minutes = 105 / 60 = 1.75 hours
The distance travelled by train will be calculated as,
Distance = Speed x Time
Distance = 60 x 1.75
Therefore, the distance travelled by Lucas will be equal to 105 miles.
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Discover the rate of change (slope) of these two points. (-4, 5) and (5,-4).
Answer:-1
Step-by-step explanation:
slope = y2-y1/x2-x1
Plug in all the values
-4-5/5+4
-9/9
= -1
Simplify -5^2 + 8|-1| + (-3).
30
-36
-20
14
Answer:
-20
lmk if u need a step-by-step explaination id be glad to help you <3
Answer:
-20
Step-by-step explanation:
-5 ^ 2 is -25
|-1| is the same as 1
so this will be
-25 + 8 - 3
- 20
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A baker has already made 4 batches of cookies and needs a total of at least 150 cookies for an event. If one batch makes 12 cookies, which
graph shows how many more batches the baker needs to make to have enough cookies for the event?
A.
HHHH
OC.
HHH
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.
Answer:
3.14
Step-by-step explanation:
Because you know it's the right answer.
What is the value of f(3) in the function below? f(x) = 1/2 .2^x O A. 4 B. 2 O c. 133 3 2 D. 8
Answer:
B
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x) , that is
f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B
Answer:
2
Step-by-step explanation:
f(3)=1/4×2^3
f(3)=1/4×8
f(3)=8/4=2