Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft
Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
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start time 7:30 elapsed time 2 hours 20 minutes end time is
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
Volume: Question 4
Find the volume of the square pyramid if the area of the base is 48 cm2
and the height is 8 cm.
Step-by-step explanation:
[tex]volume = l \times b \times h \\ area =l \times b \\ so \: if \: area \: = 48 \: that \: means \: \\ volume \: = 48 \times 8 = {384cm}^{3} [/tex]
Answer:
Step-by-step explanation:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
i need help with these problems, thanks
1. C
2. A
3. B
Hope This Helped!
(Brainliest will be appreciated)
Answer:
1- distributive property
2- Subtraction.
3- -3/2
Step-by-step explanation:
1- When the given equation is given, the 4 outside the parenthesis multiplied with the variable x and number 1. This process of multiplication between a number and all the variables in parenthesis is called known as the distributive property.
2- As it was adding with 2x on the left side when it passed with Inverse Operation to the right side, its sign change to subtraction.
3- The 2 passes to the other side of the equation with Inverse Operation, therefore dividing. The -3, otherwise, as it didn't move to the other side, has no effect and remains the negative.
A cylinder has a volume of 308 cubic inches and a height of 8 inches.What is the radius of the cylinder?Usr 3.14 for pie round to the nearest tenth of a unit
Answer: 3.5 inches
Step-by-step explanation:
6,6,6,6,7,7,7,7,7,7,8,8,9,9,10
Select the statement that correctly describes the data,
O A. The typical value is 7 because it is an extreme value,
B. The typical value is 15 because that is the total number of bags,
C. The typical value is 7. Most values are close to 7, and there are no
extreme values
D. The typical value is 10 because it is the maximum,
Answer:
C
Step-by-step explanation:
The typical value is 7 because it is the most common number in the data set
[tex] \frac{5}{8} \div 6[/tex]
I need it in a fraction and a decimal in the simplest form
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
[tex] \frac{5}{{8}{} } \div 6 = \frac{5}{48} [/tex]
=0.104166=0.1 is your answer
Jillian wants to figure out how much water will fit inside the water tower that is by her house. So she wants to find the volume of the water tower. True False
Answer:
True
Step-by-step explanation:
The volume of an object is the amount of matter the shape can hold, so finding how much water the tank can hold is finding the volume of the tank.
Have a great day! Hope this helps!
Answer:
True hope this helps
A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.
Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Por favor ayúdeme es para hoy :(
Lesson 13 Problem Set 5.4
2.
Draw rectangular fraction models of 3 >
f3x3 and
Compare multiplying a number by 3 and by 1 third.
What shape is always classified as a rectangle?
evaluate the math problem
Answer:
6
Step-by-step explanation:
square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.
I need help with this
Answer:
7.5
Step-by-step explanation:
NEED HELP ASAP PLEASE!
WILL GIVE BRAINLIEST
Find the sales tax.
I need a explanation on how you got the answer. So justify your answer please.
Answer: $1.85
Step-by-step explanation: 21.55+2.25+3.89+1.95=29.64
29.64*(.0625)=1.8525
$1.85
29.64*(1.0625)=31.4925
$31.49
$31.49-$1.85=$29.64
please help ASAPPPPP
Answer:
Maby b the 2 secoend awnser
Step-by-step explanation:
ratio of 25cm to 40cm
5:8
is the ratio .he she and shd
an equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?
a.) 2/3p
b.) 3/4p
c.) 1/3p
d.) 3p
Answer:
Your answer is C
Step-by-step explanation:
Part E
What is the volume of the fish tank? Use the formula V =lxw x h
Write the following as a sum, using powers of 10 to show place value? 0.739
What is the value of n in the equation
Answer:
n = 2
Step-by-step explanation:
Solve this like you would for an Algebra problem :)
[tex]3n + 1.4n = 8.8\\4.4n = 8.8\\n = 2[/tex]
Answer:
n = 2
Step-by-step explanation:
3n + 1.4n = 8.8
4.4n = 8.8
n = 8.8 / 4.4
n = 2
GIVE BRAINLIEST!!!!
hope this helped,
-cheesetoasty
8 less than the quotient of 20 and 5
Answer:
-4
Step-by-step explanation:
20/5-8 ( expression written out)
4-8=-4 (solution)
500 ft of wire costs 18.44 total. What is the cost per foot?
Answer:
.03688$ per square foot.
Step-by-step explanation:
18.44 / 500 equals .03688.
Hope that this helps!
Answer:
$0.03688/ft
Step-by-step explanation:
$18.44/(500 ft) = $0.03688/ft
What is the distance between the points (4,9) and (1,3)?
The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.
We have given the points (4,9) and (1,3).
What is the distance between two points?
Distance between two points is the length of the line segment that connects the two given points.
Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.
your teacher might make you right these as negatives because they are being subtracted, not sure though.
Therefore, The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.
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The perimeter of the kite is 134 cm. Find the value of x.
Answer:
x = 10 cm
Step-by-step explanation:
(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm
combine like terms:
14x - 6 = 134
add 6 to each side of the equation:
14x = 140
divide both sides by 14:
x = 10
Which value is NOT a solution of x^3 + 64 = 0
plz help I give 50 points
Helppp !!!!?Match the terms to their definition.
1.
numerical data
2. mode
the sum of a set of data divided by
the number of items in the set
the most frequently occurring
number(s) in a data set
any possible results of an
experiment
a graph showing frequency of data
on a number line
the middle value of a set of data
3. median
4. mean
5. sample space
6. probability
arranged in numerical order
the difference between the largest
and smallest data points
an organized listing of all possible
7. range
outcomes for an experiment
data represented by quantities
8. outcome
a measure of the likelihood of an
0
line plot
eveni
Answer:
I'm gonna arrange the numbers according to the answer
4
2
8
9
3
7
5
1
6
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
Answer:
The numbers 6, 9 , and 42
Step-by-step explanation:
Fraction
6/10
9/100
42/100
Decimal
0.6
0.09
0.42
Percent
60%
9%
42%