Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
[tex]\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.[/tex]
Hence, the height of tree = 15 ft. 6 inches
find the inequality represented by the graph
Answer: y>(1/3)x-3
Step-by-step explanation: The slope is 1/3. The dotted line means it is not inclusive, and the value of k means it is going down three units.
Write as
logarithm with base 4:
4
-5
2
-4
Answer:
log_4(256)=4
log_4(1/1024)=-5
log_4(16)=2
log_4(1/256)=-4
Step-by-step explanation:
We want to write a number, x, such that
Log_4(y)=x.
In exponential form that is 4^x=y.
So first number is x=4.
4^4=256 which means log_4(256) is 4 as a logarithm with base 4.
The second number is x=-5.
4^-5=1/4^5=1/1024 which means log_4(1/1024) is -5 as a logarithm with base 4.
The third number is x=2.
4^2=16 so log_4(16) is 2 as a logarithm with base 4.
The fourth number is x=-4.
Since 4^4=256 then 4^-4=1/256 which means -4 as a logarithm with base 4 is log_4(1/256).
The logarithmic expressions are: [tex]\log_4(256) = 4[/tex], [tex]\log_4({4^{-5}}) = -5[/tex], [tex]\log_4({16) = 2[/tex] and [tex]\log_4({4^{-4}) = -4[/tex]
A number x written in logarithm form is represented as:
[tex]\log_b(y)=x.[/tex]
Where:
[tex]b^x=y[/tex]
Given that the base is 4, the equations become:
[tex]\log_4(y) = x[/tex]
[tex]4^x = y[/tex]
For number 4, we have:
[tex]y = 4^4[/tex]
[tex]y = 256[/tex]
This gives
[tex]\log_4(256) = 4[/tex]
For number -5, we have:
[tex]y = 4^{-5}[/tex]
This gives
[tex]\log_4({4^{-5}}) = -5[/tex]
For number 2, we have:
[tex]y = 4^{2}[/tex]
[tex]y =16[/tex]
This gives
[tex]\log_4({16) = 2[/tex]
For number -4, we have:
[tex]y = 4^{-4}[/tex]
This gives
[tex]\log_4({4^{-4}) = -4[/tex]
Hence, the logarithmic expressions are: [tex]\log_4(256) = 4[/tex], [tex]\log_4({4^{-5}}) = -5[/tex], [tex]\log_4({16) = 2[/tex] and [tex]\log_4({4^{-4}) = -4[/tex]
Read more about logarithms at:
https://brainly.com/question/13473114
If cosx=-√ 3/2, in which quadrants could
What is the graph of the solution set of b - 4 2 -1?
Answer:
the B graph
Step-by-step explanation:
What is the slope and Y intercept of the line Y= -4X -1/5
The slope is the number that comes before the x and the y intercept is the number after the x.
Slope = -4
y intercept = -1/5
What’s the answer? To this I don’t get it help
Answer:
2
Step-by-step explanation:
Hey There!
When it ask for the scale factor its asking for what did you have to multiply the side length by of figure a to get the similar side length of figure b
for example in figure A the base length is 7
to get the the base length of figure B (14) they multiplied the base length of figure A by 2
7x2=14
therefore the scale factor is 2
Which linear inequality is represented by the graph?
Oys1x-1
O ya x-1
O y < 3x - 1
O y> 3x - 1
Answer: The second choice.
Step-by-step explanation: Everything greater than that value of y can satisfy the equation, which is why that whole area above is shared. The solid line means it is inclusive, which means it includes values along that line. The slope is 1/3 and the value of k is -1 because it is going down one unit.
This graph shows two lines, A and B
based on the graph which statement is correct about the solution to the system of equations for lines A and B
(4,4) is the solution to line A but not to line B.
(4,4) is the solution to both lines A and B.
(5,1) is the solution to line B but not to line A
(0,2) is the solution to both lines A and B
Answer:
The answer is B. (4, 4) is the solution to both lines A and B. I took the test and got 100% your're welcome!
Step-by-step explanation:
if angle B is 50 degrees, what is the measure of angle D? (write the number only)
Answer:
50
Step-by-step explanation:
Identify the numerator for the following fractions:
(1) 3/13
(2) 10/18
(3) 6/5
(4) 35/60
i need the area, it is the area if composite fugures! ASAP!!
Subject:Mathematics
Answer:
9 ppl
Step-by-step explanation:
hope this helped!!
For the Celsius temperature given, determine the corresponding Fahrenheit temperature. Use the formula t℃=(32+1.8t)℉ for any rational number t. what is the answer
Answer:
50°F
Step-by-step explanation:
Given the equivalent celcius and Fahrenheit temperature relation :
t℃=(32+1.8t)℉
t = any rational number :
Taking a rational number, t = 10
The Fahrenheit temperature obtained will be :
t°C = 10
t℃=[32+1.8(10)] ℉
10°°C = (32 + 18)°F
The equivalent Fahrenheit temperature = 50°F
I don’t understand this. Help me please
The price of a house increased from $500,000 to $600,000 in one year. what is the percent increase?
Help me please this is too hard for me
Answer:
look at the picture i sent please
a calculator is listed for $110 and is on clearance for 35% off. sales tax is 7%. what is the cost of the caculator
Answer:
76.5
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The diagram below shows the contents of a jar from which you select marbles at random.
An illustration of a jar of marbles is shown. Four of the marbles are labeled with an upper R, seven of the marbles are labeled with an upper B, and five of the marbles are labeled with an upper G. The key identifies upper R to represent red marbles, upper B to represent blue marbles, and upper G to represent green marbles.
What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?
Answer:
A:
probability of red = 4/16 = 1/4
prob(blue) = 7/16
probability of red, then blue is (1/4)(7/16) = 7/64
B:
probability red = 1/4
probability blue = 7/15
probability of red, then blue = (1/4)(7/15) = 7/60
c) your decision
Step-by-step explanation:
i took the test
The solution is,
A. 7/64 is the probability of selecting a red marble, replacing it, and then selecting a blue marble.
B. 7/60 is the probability of selecting a red marble, setting it aside, and then selecting a blue marble.
C. the answer is no.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given,
There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.
A:
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
probability of red = 4/16 = 1/4
probability(blue) = 7/16
probability of red, then blue is (1/4)(7/16) = 7/64
B:
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
probability red = 1/4
probability blue = 7/15
probability of red, then blue = (1/4)(7/15) = 7/60
c) obviously,
7/64 ≠ 7/60
So the answer is no.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Can someone help?????
What is (7
?
(7 в — 5 ) +18
ОА.
3 11
18
ов.
4.
11
18
п
о с. 17
18
OD.
4.
5
18
Answer:
(7B-5) +18
=2B +18
= 20 ans
Please, if anyone knows help me, I need a lot of help in this activity.
Answer:
Step-by-step explanation:
Perimeter of the given polygon = n + 2 + 3 + 4 + n + 2 + 3 + 4
= 2(n + 2 + 3 + 4)
= 2(n + 9) units
Area of the composite figure = Area of rectangle A + Area of rectangle B + Area of rectangle C
= (3 × 4) + (n ×2) + (2 × 3)
= 12 + 2n + 6
= 2n + 18
= 2(n + 9) units²
Therefore, perimeter of the given figure = Area of the figure
Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?
Answer:
540$
Step-by-step explanation:
What is the measure of angle DEG on circle O
9514 1404 393
Answer:
50°
Step-by-step explanation:
Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.
∠DFC = ∠DEG = 50°
Answer: 50
Step-by-step explanation: Khan Academy
Each side of the square base is 5 inches long and the height of the pyramid is 5 inches. Approximately how much wood is in the pyramid?
Answer: [tex]41.67\ in.^3[/tex]
Step-by-step explanation:
Given
The side of the square base is 5 inches
height of the pyramid is 5 inches
The volume of a square pyramid is
[tex]V=\dfrac{1}{3}a^2h[/tex]
Putting the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 5^2\times 5\\\\\Rightarrow V=41.67\ in.^3[/tex]
The pyramid contains [tex]41.67\ in.^3[/tex] of wood
Need help. thank you
Answer:
x = 70.53 degrees
Step-by-step explanation:
equation:
cos-1 = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos-1 x = [tex]\frac{4}{12}[/tex]
⇒ cos-1 x = 0.33
⇒ x = 70.528
round to the nearest tenth:
⇒ 70.53
The points M( 10,3) and P(-4,"8) are graphed on the coordinate plane. To the nearest
tenth of a unit, what is the distance between points Mand P? Round to the nearest
tenth.
Answer: 12.5
Step-by-step explanation:
It is around 12.5 units
|x-2| if x >5
Plz help
Answer:
3
Step-by-step explanation:
what is 89 +2 Divided by 1000x2
Answer:
89.004
Have a good day :)
HELP NOW I WILL GIVE BRANLIEST... find the length of the radius, the circumference, and the are of the circle. Use 3.14 for π
PLZ HELP ILL GIVE U BRAINLIEST
Answer:
11
Step-by-step explanation:
hope this helped
Answer:
11
Step-by-step explanation:
I believe this is correct. If you count there are 5 terms all together so 11 would be the third term
Hope that helps
