Answer:
18.8 feet
Step-by-step explanation:
You have to use trigonometry for this question.
So, the basic measurements we have are:
1. The angle of elevation = 42 degrees
2. Base length of the triangle(ie. the shadow on the floor) = 20 ft
Now, imagine a right angled triangle with the base length as the shadow height, the height of the triangle as the height of the tree and the hypotenuse as the sun ray that causes the shadow. Also, the angle opposite the height is the 42 degrees.
So, we know the Adjacent length and we want to know the opposite length ( in respects with the angle given)
So, the trig ratio that compares the two is ‘Tan’
Now, form the equation:
Tan (42) = Opposite/ Adjacent = O/ A = O/20
Rearrange to solve:
O/20 = Tan(42)
O = Tan(42) x 20
Key these into a calculator and you get the answer: 18.800808...
Round to a suitable degree of accuracy.
18.8 ( 3s.f)
Aiden and his sister saved 360 quarter altogether. Aiden saved twice as many quarters as his sister, If Aiden plans to put his quarter into 3 equal piles, how many quarters will he put in each pil.
Answer:
Aiden and his sister have 360 quarters together. If Aiden has twice as much as his sister, he has 180 quarters.
360/2 = 180
Aiden divides his quarters into 3 equal piles.
180/3 = 60
Aiden has 60 quarters in each of his 3 piles.
Find the area of a pizza with radius 4 inches.
Answer:
50.24
Step-by-step explanation:
4x4x3.14
(4 because of the radius)
(3.14 because of pi)
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
2/9 of the students in the school are in 6th grade.
a. How many 6th graders are there if the school has 90 students?
b. How many 6th graders are there if the school has 27 students?
c. How many 6th graders are there if the school has x students? Write an
Answer:
a. 20
b. 6
c. y=2/9x
Step-by-step explanation:
PLEASE HELP
Which of the following prime numbers is not a factor of the integer 330?
(1) 11
(3) 3
(2) 7
(4) 5
Answer:
3 not sure if you saw it Amazing the following statements best describes the role of yourself and God bless you and take care for you guys to paperwork
Answer:
its 7
Step-by-step explanation:
Two similar polygons are shown below. Find the value of x and y.
Answer:
x = 18, y = 12
Step-by-step explanation:
Δ SRT and Δ VUT are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{SR}{VU}[/tex] = [tex]\frac{ST}{VT}[/tex] , substitute values
[tex]\frac{12}{4}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )
4x = 72 ( divide both sides by 4 )
x = 18
From side ST
y + 6 = 18 ( subtract 6 from both sides )
y = 12
reposttttttt
Calculate the volume of a prism with a length of 7/8ft, width 2/3 ft and height 1/2 ft. BE SURE TO EXPLAIN ALL STEPS
Answer:
14/48 Feet
Step-by-step explanation:
First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.
The final answer is 14/48.
(Part A)Find the area of the circle with a radius of 4m.
(Part B)Find the circumference of the circle with a radius of 4 m.
Step-by-step explanation:
Part A)
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi {m}^{2} [/tex]
Part B)
Circumference of Circle =
[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: m[/tex]
Answer:
Part A: 16π m²
Part B: 8π m
Step-by-step explanation:
Part A
[tex]A=\pi r^2[/tex] where r is the radius
Plug in 4 as the radius
[tex]A=\pi (4)^2\\A=\pi(16)\\A=16\pi[/tex]
Therefore, the area of the circle is 16π m².
Part B
[tex]C=2\pi r[/tex] where r is the radius
Plug in 4 as the radius
[tex]C=2\pi (4)\\C=8\pi[/tex]
Therefore, the circumference of the circle is 8π m.
I hope this helps!
HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE HELP IMMA FAIL
There are 10 boys and 10 girls. What is the probability that 2 boys will be chosen
Answer:
about 24%
Step-by-step explanation:
1/2 times 9/19
0.5 times 9/19
is about 0.24
0.25 mean about 24%
Answer:
Approximately 24%.
Step-by-step explanation:
There are [tex]_{10}C_2=45[/tex] ways of choosing two boys and [tex]_{20}C_2=190[/tex] ways of choosing two kids (boys or girls). So the probability of getting two boys is [tex]45/190=0.23684210526[/tex].
Does anyone understand this?
Answer:
88
Step-by-step explanation:
11*4 = 44
4*4 = 16
11-4 = 7
7*4 = 28
44+16+28 = 88
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”
How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
Answer:
How would Antonio respond....she would say "Thanks for the practice ".
Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.
okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9
Answer:
Rergvfgvf
Step-by-step explanation:
Find an exact solution for √5-1/x = √5/2 Then find the approximate solution to the nearest tenth.
Step-by-step explanation:
[tex] \frac{ \sqrt{5 - 1 } }{x} = \frac{ \sqrt{5} }{2} \\ \\ x \sqrt{5 } = 2 \sqrt{5} - 2 \\ x = 2 - \frac{2 \sqrt{5} }{5} [/tex]
each Rubber ball is = to 2 balls btw, Find the median of the data in the pictograph below.
Answer:
7
Step-by-step explanation:
The two in middle are 10 and 4
So add them both then divide by 2
So 14÷2
7
Hope this helps
Answer:
7
Step-by-step explanation:
A new color of green requires 5 yellow to 4 parts blue. If the paint mixer used 30 gallons of yellow, how many gallons of blue were needed
Answer:
24 gallons of blue
Step-by-step explanation:
The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
A new color of green requires 5 yellow to 4 parts blue
The paint mixer used 30 gallons of yellow
The number of gallons of blue color needed = ?
Ratio of yellow to blue in mixture = 5/4
So, if 30 gallons of yellow is used
then gallons of blue = ?
Suppose, gallons of blue = x
5/4 = 30/x
x = 24
Hence, the gallons of blue is 24
To know more about Ratio check:
https://brainly.in/question/7996583
#SPJ2
Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction
Answer:
division
Step-by-step explanation:
you need to get the x by its self because right now x is being multiplied by 3 tou divide it out
Answer:
Division
Step-by-step explanation:
you will divide both sides by 3..“the number that is disturbing x”
QUESTION BELOW PLS HELP
its a no
...............................................................
Find the volume of the cylinder
Answer:
Step-by-step explanation:
Find the value of x for which p || 4.
A) 15
B) 10
C) 5
D 9
Answer:
I am pretty sure the answer is 9.
Step-by-step explanation:
I'm not sure but plz tell me the right answer if it is wrong.
Please mark brainliest.
Answer:
D (9)
Step-by-step explanation:
9x+8=15x-46.......... (alternate angles are equal.)
9x-15x= -46-8
-6x= -54
-6x/-6= -54/-6
x=9
Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he needs to sell, x, to make at least $220 in one
week
Select all the inequalities that represent the situation
HELLPPPPP
Answer:
Steve needs to sell 34 items.
Step-by-step explanation:
S= 5x+50
220=5x+50
-50 -50
170= 5x
/5 /5
34 = x
Check:
220= 5(34)+50
220=170+50
220=220
two more than a certain number is 15 less than the product of 7/8 and the number
equation
Answer:
The number is -136.
Step-by-step explanation:
Let the number be x, so we have the equation:
x + 2 = 7/8 x - 15
x - 7/8 x = -15 - 2
1/8 x = -17
x = -17 * 8 = -136.
Find the measurement of Arc VW
Answer:
vw equals 48 or w equals 24 and v equals 24
Step-by-step explanation:
which values are solutions to the inequality below, need explanation to better understand if it can be given.
Answer:
a b and d
Step-by-step explanation:
Write an equation that you can use to solve for x. Enter your answer in the box.
Answer:
60 + x =100
Step-by-step explanation:
Since the angle with 100 degrees is opposite the angle combining 60 and x, they will have congruent measures.
Jenny ran 4 4/5 miles on Saturday and 6 2/5 miles on sunday. How many miles should she run on monday if she wants her average run for the three days to be 5 miles
Answer:
3.8 miles
Step-by-step explanation:
Given data
Saturday= 4 4/5 miles= 24/5= 4.8 miles
Sunday= 6 2/5 miles = 32/5=6.4 miles
Monday= x miles
Average= 5 miles
We know that
Average= Sum of data/Number of data
5= 4.8+6.4+x/3
cross multiply
5*3= 4.8+6.4+x
15= 11.2+x
x= 15-11.2
x=3.8 miles
Examine the diagram.
are alternate interior
Angle 4 and angle
angles.
Z
3
7
Х
1 5
216
4
8
Help please!!!!!
Answer:
5
Step-by-step explanation:
When two lines are crossed by another line (the transversal), the pair of angles on the opposite and inner side of each of those two lines are called Alternate Interior Angles. Therefore 5 is the alternate interior angle to 4.
Answer:
5
I did the assignment
factor 1/9 out of 1/9x+10/9
Answer:
11/9
Step-by-step explanation:
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure
which statement describes a way to find the median if the data set?
Answer:
Step-by-step explanation:
Can someone help me with this question.
Answer:
C
Step-by-step explanation:
A function means that a graph cannot have repeating x values, so to test if something is a function we do the horizontal line test. You simply draw a vertical line and if the graph touches it twice it is not a function.