Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°
Find the slope and y-intercept from the following graph of a linear equation.
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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Find the compound interest on an investment of $8,000 at 6% compounded semiannually for 3 months.
a) $9,552.80
b) $1,552.80
c) $1,500.00
d) $9,500.00
e) None of these
please answer asap! no scam links or scam comments or reported.
Answer:
yeah the links are anoying
Step-by-step explanation:
the answer is C
mark brainliest or add heart and 5 stars or both
PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!
Answer:
A) 12 thousand packets a day
B) 384 thousand Sen
Step-by-step explanation:
If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.
To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips
I need help with this math assignment ASAP
Answer:
A. 125 because 35+90=125
Step-by-step explanation:
In the image below, the length of the arc defined by the sector is
Answer:
10pi feet
Step-by-step explanation:
The formula for arc length (degrees) is: 2pi x radius x angle/360
2pi x 30 x 60/360
60pi x 1/6
10pi
Problem Suppose an archaeologist finds a camel tooth that contains 42 % of original amount of C-14. Find age of the tooth. N = Noekt No = initial mass of C-14 (at time t= 0) N = amount of C-14 at time t k= 0.0001 t = time, in years Since, our equation can be written like this: 0.42 No = Noe Noe -0.00010
Answer:
8,675
Step-by-step explanation:
Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.
Answer:
there is a 13 degree difference from DBC and DAC
with that you divide 1540 by 13 as you get that 118.461 feet
that means that there is a 118.461 difference from B to C and A to B
so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate
Find the slope of the line passing through the points (-6,-9) and (9,-9)
Landon is going to invest in an account paying an interest rate of 6.6% compounded daily. How much would Landon need to invest, to the nearest dollar, for the value of the account to reach $3,250 in 18 years?
Answer:
$990.95
Step-by-step explanation:
The computation of the present value or the invested amount is given below:
Given that
NPER = 18 × 365 days
RATE = 6.6% ÷ 365
FV = $3,250
PMT = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
AFter applying the above formula, the present value is $990.95
Answer:
the answer is 991 when rounded to the nearest dollar
Step-by-step explanation:
In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?
Answer:
85
Step-by-step explanation:
Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85
The value of angle m ∠ AED is,
⇒ m ∠ AED = 85 degree
We have to given that,
In the accompanying figure,
Chords AB and CD of circle O intersect at E.
And, m AD=100 and m CB=70.
Now, By given figure, we get;
⇒ m ∠ AED = (m AD + m CB) / 2
⇒ m ∠ AED = (100 + 70)/2
⇒ m ∠ AED = 170 / 2
⇒ m ∠ AED = 85 degree
Thus, The value of angle m ∠ AED is,
⇒ m ∠ AED = 85 degree
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A buoy is constructed out of the bottom half of a sphere with a cone on top. The radius of the sphere and the radius of the cone is 6 ft. The height of the buoy is 10 ft. What is the volume of the buoy?
Enter your answer, in exact form, in the box.
Answer:
The correct answer is 192pi
Step-by-step explanation:
I took the test and this was the correst answer
Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet
How to calculate the volume of composite shapes?Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.
The volume of the buoy = volume of sphere + volume of the cone
Find the volume of the sphere
Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet
Find the volume of the cone
Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet
Volume of the buoy = 288π + 120π
V = 498π cubic feet
Therefore the required volume of the buoy in exact form is 498π cubic feet
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1.2 The stove you must bake in is an old one and only has the temperature in
Fahrenheit. You are making rusks and must dry them overnight at a
temperature of 176°F.
Convert this temperature
to °Celsius.
Answer:
80°C
Step-by-step explanation:
you will say :
(176-33) x 5/9 = 70
If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.
Answer:
Step-by-step explanation:
it's going to alternate back and froth between positive and negative, maybe it will make one of those "telescoping" sequences
The sum of two angle measures is 73.80. One angle has a measure of 44.25. What is X, the measure of the second angle in degrees
Step-by-step explanation:
X1 + X2 = 73.80
Assumption : X1 = 44.25
X2 = unknown angle = 29.55
The graph above is a transformation of the function f(x)=|x|
Write an equation for the function graphed above.
Answer:
I think that the equation would be = |X - 2|
Step-by-step explanation:
Hope it was helpful :)
The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].
The expression of [tex]g(x)[/tex] is the consequence of translating both horizontally and vertically regarding [tex]f(x)[/tex], which it can be defined by following expression:
[tex]g(x) = f(x - h) + k[/tex] (1)
[tex]f(x)[/tex] - Original function.[tex]g(x)[/tex] - Resulting function.[tex](h,k)[/tex] - Coordinates of the "center" of the resulting function.
If we know that [tex](h,k) = (2, 1)[/tex] and [tex]f(x) = |x|[/tex], then the resulting function is:
[tex]g(x) = |x-2| + 1[/tex]
The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].
I need some help with this! I will try to give brainliest!!
Answer:
Left yes
right no
Step-by-step explanation:
that goes for top and bottom
Helpppppppp plsss ASAP math look at picture for details
10x ___ = 10
4/4 5/4 3/4
I'll add a photo of the problem!
Find the value of x in the triangle shown below 6 2
Answer:
x = 2√10 = 6.325
Step-by-step explanation:
a² +b² = c² a = 6 b = 2 c = x
c = √(a² +b²)
c = √(6² +2²)
c = √(36 +4)
c = √(40)
c = 2√10
For the length given below draw a line segment to match. Express the measurement as a equivalent mixed number. 4.8 cm
Answer:
there's nothing there
Step-by-step explanation:
The solution is, The length of line segment AB is 3.4cm.
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
here, we have,
The area of octagon is given as 2a^2(1+sqrt{2})
Where a is the side of octagaon.
All lengths of sides of octagon are same.
now, we get,
As, 2a^2(1+sqrt{2}) = 54cm
so, we have,
Then, a^2 = 54/2(1+sqrt{2})
a^2 = 54/4.828
a^2 = 11.19
a = 3.4 cm
Hence, The solution is, The length of line segment AB is 3.4cm.
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complete question;
What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
O 4.8 cm
24 cm
0 27 cm
HELP DUE SOON!!
Roberta grows pea plants, some in shade and some in sun. She picks 8 plants of each type at random and
records the heights.
Shade plant heights (in.)
Sun plant heights (in.)
7 12 11 9 8 11 12 10
1924 24 20 23 24 22 20
Express the difference in the means as a multiple of their ranges.
The difference in the means is how many
times the ranges.
Answer:
i think the answer is double in the blank
PLEASE HELP
Quality Cab charges $1.50 for the first mile
and $0.30 for each additional mile. Comfy
Cab charges $2.40 for the first mile and $0.20
for each additional mile. At what distance
do the two charge the same?
And please add how you did it
Answer:
£4.40
Step-by-step explanation:
you
just
add
it
all
up
I think
Answer: 1.5 + .3m = (20-2)
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.
Answer:
6
Step-by-step explanation:
iuiiiiuiuiuuuiuuuuuuuiuuuuii
which two quadrilaterals have 4 congruent sides
Answer:
rhombus and parallelogram .
Step-by-step explanation:
Please guys help me please
Answer:
A will be the answer hope this will help u
Answer:
the correct option is A. (-5,-7)
like (5,-7) I. e (+,-) lies in the 3rd quadrant and the opposite of 3rd quadrant vertically is the 2nd quadrant.
so, the answer should come as (-,-) according to the 2nd quadrant.
so, answer will be (-5,-7)
I hope it's correct.
What is the area of the kite?
Answer:
Step-by-step explanation:
area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²
Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.
Answer:
[tex]Pr = 7\%[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Find P(Junior|Male)
To do this, we first calculate the total students.
[tex]Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3[/tex]
[tex]Total = 30[/tex]
Next, select the value in the cell that intersects Male and Junior
[tex]Male\ and\ Junior = 2[/tex]
Hence, the probability is
[tex]Pr = \frac{Male\ and\ Junior}{Total}[/tex]
[tex]Pr = \frac{2}{30}[/tex]
[tex]Pr = 0.067[/tex]
Express as percentage
[tex]Pr = 0.067*100\%[/tex]
[tex]Pr = 6.7\%[/tex]
Approximate
[tex]Pr = 7\%[/tex]
Answer:
14%
Step-by-step explanation:
2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!
p.s. (I was on the same problem on acellus and figured it out. It took forever though)