Answer:
239.8 feet to the nearest tenth.
Step-by-step explanation:
We have 2 right triangles one inside the other.
Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.
So we have the system:
tan 28.8 = x/(y + 100)
tan 35.5 = x/y
From second equation:
x = tan35.5 y
Sustituting in the first equation:
tan 28.8 = tan35.5 y / (y + 100)
tan35.5 y = tan 28.8 y + 100 tan 28.8
y(tan35.5 - tan28.8) = 100 tan 28.8
y = 100 tan 28.2 / (tan35.5 - tan28.8)
y = 336.16 ft
So x = height of the buiding = tan35.5 * 336.16
= 239.78 ft.
57771298
How would the mode change if the number 5 were added to the set?
Answer:
The mode of this list of numbers would still be [tex]7[/tex] (the mode did not change) after "[tex]5[/tex]" was added to the list.
Step-by-step explanation:
The mode of a list of elements is the member that appears the most frequently.
The original list of numbers in this question [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8][/tex] included the following members:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 1\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" appeared more often than any other member of this list. Thus, the mode of the original list was "[tex]7\![/tex]".
Adding "[tex]5[/tex]" to the original list would give the list [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5][/tex]. Members of this list are:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 2\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "[tex]7\![/tex]".
BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shadow, what is the suns angle?
Step-by-step explanation:
the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.
the shadow is adjacent to the angle while the flagpole is opposite to it.
so to find the angle of elevation:
arctan(20/8.9)
= 66.01 degrees
comment if you have any doubt or need further help.
Angle be alpha
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]
[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]
[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]
Mark stands at the intersection in observes if cars go left right or straight. After watching for a while, he recorded that 10 cars went straight for cars went left and six cars went right. Estimate the probability that the next car goes left then place the probability on the scale below. help me pls. I have way more packets and I need them done by tmr
Answer:
0.2
Step-by-step explanation:
Total number of cars: 10 + 4 + 6 = 20
Number of cars that turned left: 4
p(left) = 4/20 = 0.2
To place 0.2 on the scale, divide the segment from 0 to 1/2 into 5 equal parts, and place 0.2 on rthe second from the left.
ANOTHER 1 HELP ME OUTT
Answer:
the last one
Step-by-step explanation:
(clustered around 1 and 3)
Answer:
The data are clustered from 1 to 3, so most teams won 1 to 3 games.
Step-by-step explanation:
There is only 1 dot at 8 and more near 1-3
Use the APR formula On a 5000 installment loan with payments of $226 per month for 24 months
APR= (interest + fees/ loan amount) / no. of days ×355 ×10
= 5000/226 / 24 × 365 × 10
= 33640.83
= 33640.83/365
= 93%
Abigail volunteers as a gift wrapper at a children's bookstore during the holiday season. She can gift wrap a book in 3.5 minutes. Let t be the total number of books she wraps, and let m be the total minutes she spends wrapping. The equation m=3.5t represents this situation. Graph the equation.
(-3 + 3y = 9)(8x - 6y = -4)
Step-by-step explanation:
(3y=9+3)(8x-6y=-4)
(3y=12)(8x-6y=-4)
(y=12÷3)(8x-6y=-4)
(y=4)(8x-6y=-4)
Now putting the value of y in (8x-6y=-4)
8x-6*4=-4
8x-24=-4
8x=24-4
8x=20
x=20/8
x=5/2
Rosalinda has a circular serving platter in the middle of her circular table.
The radius of the platter is 15 inches less than the radius of the table
The diameter of the table is 4 feet. What is the difference between the
area of the table and the area of the platter? Use 3.14 for 17, and write your
answer in decimal form. 7.G.4
diameter=4ft=12(4)=48in
Radius of table=48/2=24inRadius of platter=24-15=9inSo
Area of table:-
π(24)^2576πin²Area of platter:-
9²π81π in²Difference:-
576π-81π495π1554.3in²Answer:
1554.3 in²
Step-by-step explanation:
Given information:
The radius of the platter is 15 inches less than the radius of the tableThe diameter of the table is 4 feetπ = 3.141 foot = 12 inches
⇒ 4 ft = 4 × 12 = 48 in
Radius = ¹/₂ diameter
⇒ Radius of table = ¹/₂ × 48 in = 24 in
⇒ Radius of platter = 24 in - 15 in = 9 in
Area of a circle = πr²
⇒ Area of table = 3.14 × 24² = 1808.64 in²
⇒ Area of platter = 3.14 × 9² = 254.34 in²
Difference = area of table - area of platter
= 1808.64 - 254.34
= 1554.3 in²
rena divides a square into 8 equal part. what unit fraction should she write as a label for each parts?
If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
What is Fraction?A fraction represents a part of a whole.
Given that rena divides a square into 8 equal part.
A division is a process of splitting a specific amount into equal parts.
Let the whole square is divided into eight equal parts.
Which can be represented by 1/8.
Where the numerator 1 represents the whole and eight represents the parts.
The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.
This means each part is one eighth of the whole.
Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
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Write the equation of the parabola in vertex form.
vertex (2,4), point (3,2)
Answer:
y=-3(x-2)^2+4
Step-by-step explanation:
The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.
To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4 or a = -3
So the full equation is y = -3(x-2)^2 + 4
I am sort of confused with this question. Could I get help here? I appreciate it! Thank you!
Answer:
y = 1.36x
Step-by-step explanation:
There will be no touchdown throws if no games are played. The y-intercept must be zero. That is, the number of touchdown throws is considered to be proportional to the number of games, with the constant of proportionality being 1.36:
y = 1.36x
Question 1.
Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11}
Write the elements for the following: [4 marks]
(a) R ⊂ P
(b) Q ⊂ P
(c) R ⊂ S
(d) S ⊂ Q
(e) S ⊂ P
(f) P ⊄ Q
(g) Q ⊄ R
(h) S ⊄ Q
Question 2.
i) Write down all the possible proper subsets for each of the following:
[3marks]
(a) {a, b, c, d}
(b) {1, 2, 3}
(c) {p, q, r}
(d) {5, 10}
(e) {x}
(f) ∅
ii) Which of the following sets is a universal set for the other four sets?
(Select your answer) [1mark]
(a) The set of even natural numbers
(b) The set of odd natural numbers
(c) The set of natural numbers
Answer:
Question 1
a) { 3, 5, 9 }
b) { 9, 11 }
c) { }
d) { 11, 13 }
e) {11}
f) {3, 5, 7}
g) {11, 13}
h) {9}
Question 2 ( i )
a) { a,b,c,d }
{a}
{b}
{c}
{d}
{a,b,c}
{a,b}
{a,c}
{a,d}
{b,c}
{b,d}
{c,d}
{a,b,d}
{b,c,d}
{a,c,d}
{ }
b) {1,2,3}
{1,2}
{1,3}
{1}
{2}
{3}
{2,3}
{ }
c) {p, q ,r}
{ p,q}
{ p,r}
{ q,r}
{p}
{q}
{r}
{ }
d) { 5,10}
{ 5}
{10}
{ }
e) {x}
{ }
f) { ○ }
{ }
Question 2 ( ii )
(c) The set of natural numbers
For which values of x is the expression undefined
Answer:
7, -9
Reasoning:
When x is 7 or -9, the denominator equates to zero, making the expression undefined because nothing can be divided by zero.
What’s the circumference of circles
Answer:
62.83185
Step-by-step explanation:
C=2πr=2·π·10≈62.83185
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Circumference of circle is :
[tex]\qquad \tt \dashrightarrow \:\pi d[/tex]
where,
d = diameter of circle[tex]\qquad \sf \dashrightarrow \:c = 20 \pi \: \: cm[/tex]
Now, let's plug approximate value of pi
[tex]\qquad \sf \dashrightarrow \:c = 20 \times 3.14\: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:c = 62.8 \: \: cm[/tex]
Write an equation of the line that passes through (3, 1) and (0,10) .
y=
Answer:
Step-by-step explanation:
hello :
y = -3x+10
Find The Zeroes:
Answers:
x = 1 and -2
x = 2 and -1
x = -0.5 and -2.25
Answer:
x = -2 & x= 1
Step-by-step explanation:
Zeroes are the x-axis value where the function crosses the x-axis!
Can someone help me with this problem?
[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]
Pls help with this question
Answer:
They(play) football for two hours (present perfect continuous
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.
Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
The required triangleThe line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.
From trigonometric ratios, we have that
tanФ = h/D
So, D = h/tanФ
Since
h = 400 ft and Ф = 35°,Distance of building apartSubstituting the values of the variables into the equation, we have
D = h/tanФ
D = 400 ft/tan35°
D = 400 ft/0.7002
D = 571.27 ft
D ≅ 571 ft to the nearest foot
So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
Learn more about distance of building apart
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What is the value of 5^3i^9
Answer:
5^(3)i^(9)= five cubes times i to the power of 9=125i
Step-by-step explanation:
Raise 5 to the power of 3
rewrite i9 as (i^4)2^i
so, you get 125((i^4)^2i)
i^4=1
125(1^2i)
125i
Pls I need this today right now pls
Answer:
ur right its A
Step-by-step explanation:
I need help.... Could someone please help me
furthering dendritic untiring s very crushed iridium rushes Rivendell ft Zarathustra
emma had originally selected 8 intervals the interval that she put up for swap was not picked up nor did she show up to service it her technical issue had also prevented her from servicinfor 45 minutes emma was also 5 minutes late for two other intervals what was emma resulting ca percentage for the week
Answer:
83%
Step-by-step explanation:
Write the formula of the function f(x) whose graph is shown.
Answer:
[tex]f(x)=\dfrac{1}{x+4}[/tex]
Step-by-step explanation:
Asymptote: a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.
Therefore, the function is undefined at [tex]x=-4[/tex]
For a rational function to be undefined, the denominator must equal zero at that point. Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].
Therefore, option D is the correct solution, since:
[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]
PLEASE HELP FAST I WILL GIVE BRAINLIEST!
Answer:
[D] 1/14
Step-by-step explanation:
Question to answer:
What is the probability of picking an orange marble and flipping tails?
Solve:
let see how many orange marbles are there:
As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.
Now let see how many side a coin have:
As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:
1/2 × 1/7
→ 1 × 1 = 1
→ 2 × 7 = 14
Thus, the result is 1/14
Hence, the answer is [D] 1/14
~lenvy~
Answer:
[tex]\sf D)\quad\dfrac{1}{14}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}[/tex]
[tex]\implies \sf P(\textsf{tails})=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}[/tex]
MATH which graph has an axis of symmetry at x=-1
What is X when 19,695 divided by X-15,605 = 100
Step-by-step explanation:
[tex] \frac{19695}{x - 15605} = 100[/tex]
[tex]19695 = 100(x - 15605)[/tex]
[tex]19695 = 100x - 1560500[/tex]
[tex]19695 + 1560500 = 100x[/tex]
[tex]15801 95 = 100x[/tex]
[tex] \frac{1580195}{100} = x[/tex]
[tex]x = 15801.95[/tex]
Jordan is making a scale model of the Hanging Gardens of Babylon, one of the seven wonders of the ancient world. The actual gardens were said to be 24.4 meters tall. Jordan uses a scale of 1 cm = 0.5 m.
To the nearest tenth of a centimeter, what should be the height of Jordan’s model?
A. 12.2 cm
B. 24.4 cm
C. 48.8 cm
D. 122.0 cm
Jordan's scale model would let him have a proportional measurement of the actual drawing
The height of Jordan's model is 48.8 cm
How to determine height of Jordan's model?The scale ratio is represented as:
Ratio = Model : Actual
So, we have:
1 cm : 0.5 m = Model : 24.4 m
Express as fractions
1 cm / 0.5 m = Model / 24.4 m
Multiply both sides by 24.4 m
Model = 24.4 m * 1 cm / 0.5 m
Evaluate the product
Model = 48.8 cm
Hence, the height of Jordan's model is 48.8 cm
Read more about scale models at:
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Answer:
it is C. 48.8
Step-by-step explanation:
new/original
24.4 divided by 0.5
=48.8
or the longer way:
24.4 divided by 1/2
24.4 * 2/1=
48.8
Chapter 5 how are integers and absolute value used in a real-world situations?
What is the volume of the prism?
Answer:
[tex]the \: volume \: of \: a \: rectangular \: prism \: is \\ l \times w \times h \\ in \: this \: graph \: \\ l = 2 \frac{1}{4} \\ w = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: h = 4 \\ 2 \frac{1}{4} \times 2 \times 4 \\ 4 \frac{1}{2} \times 4 = 18 \\ the \: volume \: is \: 18 {in}^{3} [/tex]
