Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answers
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
Related Questions
Given the function, check all transformations that occurred from the graph of the function y=x^2
Answers
Answer: left 7 units, up 4 units, and vertical compression
Step-by-step explanation:
Given
The function is [tex]y=x^2[/tex]
First shift it to the left by 7 units, so the function becomes
[tex]y=(x+7)^2[/tex]
Now compress it to make it one-third
[tex]y=\dfrac{1}{3}(x+7)^2[/tex]
Now, sift the graph upward by 4 units
[tex]y=\dfrac{1}{3}(x+7)^2+4[/tex]
Thus , the conditions are left 7 units, up 4 units, and vertical compression.
multiply (3c+2p)(3c-2p) what is the answer?
Answers
9514 1404 393
Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
help please. thank you
Answers
Answer:
y = -2/3 x +2
Step-by-step explanation:
2x+3y = 12
First find the slope by putting it in slope intercept form y= mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
3y = -2x+12
Divide by 3
3y/3 = -2/3x +12/-3
y = -2/3x -4
The slope is -2/3
Parallel lines have the same slope
The only line with the same slope is y = -2/3 x +2
The only line
Please help me find the length of su
Answers
d)
In decimal system, 10 - 4 = 6. Write the binary equivalent of the
difference equation.
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Answer:
1010 - 100 = 110
Step-by-step explanation:
10 = 1010
4 = 100
find the area of the triangle. please explain/show your work. thank you <3
Answers
AC = b
ACB = C
To find the area of such triangle we are going to use the formula;
1/2 * a * b * sine C
Substitute values.
1/2 * 4 * 4 * sine 45
= 5.65^2
Therefore the area of the triangle is 5.65^2
Area of square room =16m2
Length=?
Answers
Answer:
Step-by-step explanation:
area of square=l^2
16=l^2
[tex]\sqrt{16[/tex] =l
4=l
therefore the length of square room is 4 m
Answer:
length , l = 4m
Step-by-step explanation:
[tex]Area \ of \ square = l^2\\ 16 = l^2\\\\l = \sqrt{16} = 4m[/tex]
Find the missing side. Round to
the nearest tenth.
19
40°
[ ?
Answers
Answer:
x=14.555
Step-by-step explanation:
Answer:
remember to round and do 14.6 thank me later
Step-by-step explanation:
Given the function f(x) = 0.5|x - 4| + 6, for what values of x is f(x) = 7
Answers
Answer:
6 or 2
Step-by-step explanation:
f(x) = 0.5|x - 4| + 6
0.5|x - 4| + 6 = 7
0.5|x - 4| = 7-6
0.5|x - 4| = 1
|x - 4| = 2
x -4 = ± 2
x-4 = 2 ==> x = 6
x-4 = -2 => x = 2
so the value of x = 6 or 2
Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window?
Answers
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
3. A woman deposits Php 23,200 into her account. How much would
the annual interest be if its interest rate is 6_%?
Answers
Answer:
(assuming simple interest)
I'll setup the problem and you can do the computation
Step-by-step explanation:
The formula for simple interest:
I = P*r*t
P = deposits
r = interest rate per period (a year)
t = number of periods
P = Php 23,200
r = 0.06
t = 1
If you have questions, send me a comment
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 g to 56 g (picture)
Answers
9514 1404 393
Answer:
3/7
Step-by-step explanation:
The fraction is ...
[tex]24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}[/tex]
Answer:
3 / 7
Step-by-step explanation:
Fraction :-
24 g to 56 g
= 24 g / 56 g
= 3/7 + 8 g / 8 g
= 3/7
help with this please
Answers
Answer:
Hello! answer: 10
Step-by-step explanation:
you do a^2+b^2=c^2 meaning
8 × 8 + 6 × 6 will equal a number which then we have to find out the square root of that number meaning what number you can multiply by itself to get that number so...
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore the missing length is 10 hope that helps!
Can someone helllllp? 20 points
Answers
Step-by-step explanation: 6 4 17 26
1) BC = 10 twice DC
2) x = 174 360 - 46 - 66 - 74 = x
3) x = 125 360 - 47 - 98 - 90 = x
4.37) A set of data whose histogram is extremely skewed yields a mean and standard deviation of 70 and 12, respectively. What is the minimum proportion of observations that
Answers
Answer:
75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
Find out the possible two numbers that satisfied all the given conditions. The LCM of two numbers is 130.• The HCF of the same two numbers is 13. • Both numbers are less than 100. Write down two possible numbers.
Answers
Answer:
1020100101/1
Step-by-step explanation:
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and a height of 17 feet. Container B has a radius of 10 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Containter B is completely full.
To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
Answers
Answer:
Step-by-step explanation:
Container A = 75.36 x 17 = 1,281.12
Container B = 62.8 x 18 = 1,130.4
1,281.12 - 1,130.4 = 150.72 is left in container A.
So, 1,130.4 was taken out of it.
1,281.12 divided by 1,130.4 = 1.13
move the decimal over two to the right. Or times it by 100.
113%
A circle has a diameter of 100 cm. which of these is closest to its area? show or explain your reasoning
a. 314 cm
b. 7,854 cm
c. 15,708 cm
d 31,400 cm
Answers
Answer:31r
Step-by-step explanation:
Formula=πd
22/7 × 100
3.14 × 100
314 cm square
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation of $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
Answers
Answer:
A refund must be above $7,139 before it is audited.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7010, standard deviation = 43.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.
Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
3 standard deviations above the mean, so:
7010 + 3*43 = 7139.
A refund must be above $7,139 before it is audited.
We need a butterfly garden with a perimeter of 16 feet and an area of 16 square feet.
Answers
Algebra please help!!!!! 30 points!!!
Answers
9514 1404 393
Answer:
C. x < 0
Step-by-step explanation:
The curve opens downward and has its vertex is at x=0, so the largest increasing interval will be the one that has its right end at x = 0⁻.
x < 0
Answer:
C. x<0
Step-by-step explanation:
The curved open downward Vertex , x = 0Largest interval x = 0^-x <0If a > b, what can you say about the locations of a and b on the number line?
Answers
Answer:
If A > B (A is greater than B), A will be on the right side of B, and B will be on the left side of A on a number line.
Step-by-step explanation:
This is because as you keep on going right on a number line, the numbers keep getting greater. Same idea vise versa (left side gets lesser). Therefore, if A is greater than B, it will be to the right of B on a number line. Look below for an example:
Simplify: a²b⁵c
______
a⁴bc³
Answers
Answer:
[tex] \frac{b ^{4} }{a ^{2}c ^{2} } [/tex]
Step-by-step explanation:
when dividing subtract the exponents
2. If your gross biweekly salary is $3,290, then how much is your annual salary?
I
Answers
Answer:
Annual Salary = $85,540
Step-by-step explanation:
There are 52 weeks in a year.
If bi weekly salary is $3290
Then you get paid 26 times.
Therefore annual salary = 26 × 3290 =$85,540
Answer:
$78,960 is your annual salary
Step-by-step explanation:
By saying biweekly, if you mean that your gross salary for every two weeks is $3,290, then your annual salary will be roughly about $78,960
There are about 4 weeks in a month and you're getting your gross salary biweekly. So $3,290 times 2 equals $6,580. This is your monthly gross salary.
Now, multiply $6,580 times 12 to find out your annual salary because there are 12 months in a year. $6,580 times 12 equals $78,960. This is your annual salary
Hope this helps
What is the area of the unshaded portion of this figure?
Answers
Answer:
Step-by-step explanation:
it is d) 162
Answer:
The answer is d 162cm^2
Step-by-step explanation:
Hope this helps :)
which of the following demonstrates how to factor x^2-y^2?
2(x-y)
(x-y)(x+y)
(x+y)(x+y)
(x-y)^2
Answers
Answer:
[tex] {x}^{2} - {y}^{2} [/tex]
difference of two squares:
[tex](x + y)(x - y)[/tex]
Marvin's Tree Service purchased several spruce tree saplings.
The heights of the saplings are shown in the table. Which line plot represents the data correctly?
A data set titled
A.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 5 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
B.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 3 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
C.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
D.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one fourth has 1 dot. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
Answers
Answer:
B
Step-by-step explanation:
Mariko needs about 18 wheelbarrows full of stone for her Japanese garden. Her wheelbarrow has vertical sides with the given shape and is 2 1/2 feet wide. How many cubic yards of stone should she order?
Answers
Answer:
I don't know yet haheuehehheejejejej
I understand the law of cos, except for this little part, so I really need help please.
Answers
Answer:
22.33
Step-by-step explanation:
Sarah bought a pair of shoes that were $64 but we’re on sale for $46 sales tax is 6% how much does she pay for the shoes
Answers
Answer:
43,24$
Step-by-step explanation:
46$ — 100%
x$ — 6%
46 · 6/100
2,76$
46$ - 2,76$ = 43,24$
I don't know if this helps