Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52o. What is the height, h, of the flagpole? Round your answer to the nearest tenth of a foot.
Answer:
51.2feet
Step-by-step explanation:
Given;
Horizontal distance = 40feet (Adjacent)
Angle of elevation = 52 degrees
Required
Height of the pole H (Opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 52 = H/40
H = 40tan 52
H = 40(1.2799)
H = 51.2 feet
Hence height, h, of the flagpole to the nearest tenth is 51.2feet
1. Which of the following are graphs of functions? Choose all that apply.
Answer:
All except B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
po keep on learning keep safe
a. 15 * (6 + 4) = (15 * ■) + (15 * 4)
b. 2 * (x + 6) = (2 * ■) + (■ * 6)
c. (x * 2) + (x * 6) = ■ * (2 + 6)
Answer:
A)6
B)x 2
C)x
Step-by-step explanation:
What is the sign of p
a
when p > 0 and a
р
0?
.
Answer:
positive sign
I hope it's helps you ❤️☺️
What is the radius of a circle when the diameter is 70 m?
Answer:
35 m
Step-by-step explanation:
Answer:
35mStep-by-step explanation:
Given,
Diameter of the circle = 70m
As we know,
Radius = d÷2
Therefore,
Radius of the circle = 70m ÷ 2
= 35m (Ans)
Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes 15 years to pay off the loan and interest. How much internet does she pay? What is the total amount she pays?
Answer:
a)7200/= b)15200/=
Step-by-step explanation:
8000×6/100%×15=7200
so 7200/= is the intrest she'll pay
for total amount you'll add 7200 to8000=15200/=
Cual de estos utiliza la propiedad distributiva para mostrar la forma expandida de la expresion: -4 . (-5 + 3)
Respuesta:
8
Explicación paso a paso:
Si A, B y C son números enteros, según la propiedad distributiva;
A (B + C) = AB + AC
tenga en cuenta que A se distribuyó sobre B y C
Aplicando esto para expandir la expresión dada -4. (-5 + 3)
-4. (-5 + 3)
= -4 (-5) + -4 (3)
= 20 + (-12)
= 20 - 12
= 8
Por lo tanto, la respuesta requerida es 8
i need help pls pls pls pls help me
Solve: 10_4/5 - 6_7/8
Answer:
3.925 or 3_37/40
Step-by-step explanation:
Analyze Information The fastest first-round time for the women's 100-meter hurdles in the Olympics was set in 2012 at 12.54 seconds. What digit is in the tenths place? In the hundredths place?
Answer: 5 is in the tenths place
4 is in the hundredths place.
Step-by-step explanation:
When dealing with the place value of numbers, we should note that the digit is in the tenths place is the first didgut after the decimal point. In the number 12.54, the first digit after the decimal place is 5.
The digit in the hundredths place is the digit that comes immediately after the tenths place. In this case given the number 12.54, the digit in the hundredths place is 4.
Hayden went apple picking with his family. In his bag he had four Granny Smith apples,
two Honeycrisp apples, three Gala apples, and one Fuji apple. What is the probability
that he will pick a Granny Smith apple out of his bag, replace it, and then choose a
Honeycrisp apple? Write your answer as a simplified fraction.
Answer: [tex]\dfrac{2}{25}[/tex]
Step-by-step explanation:
Given
There 4 Granny smith, 2 Honey crisp, 3 Gala, 1 Fuji apples in the bag
The chance of picking a granny smith apple out of the bag is 4 out of 10 apples
So, the probability of picking it is [tex]\frac{4}{10}[/tex]
now, it is replaced and honey crisp apple is chosen
The probability of happening this event along with the first one is
[tex]\Rightarrow P=\dfrac{4}{10}\times \dfrac{2}{10}\\\\\Rightarrow P=\dfrac{8}{100}=\dfrac{2}{25}[/tex]
the decimal expansion of rational number 543 by 2 raised to 4 multiplyed by 5 raised to 3, will terminate after how many places of decimal.
Answer:
4Step-by-step explanation:
543 / (2⁴*5³) = 543 / (16*125) = 543 / 2000 = 0.2715This is terminated after 4 places of decimal
Answer:
Step-by-step explanation:
In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.
In this case, 4 > 3 so the expansion will terminate after 4 decimal places.
how do you factor 0 = x^2 - 6?
Answer:
2
+
5
+
6
=
0
what is the sale price of $149 sneakers with 15% off?
Answer: $ 126.65
Step-by-step explanation:
149/100)*15 =
(149*15)/100 =
2235/100 = 22.35
15% of $149 is 22.35
so ,
real price-15% of real price= sale preice
$149-$22.35=$126.65
Answer:
$ 126.65
Step-by-step explanation:
$ 149 multiply 15 % which is 0.15
Which is $ 22.35
Take $ 149 - $22.35 = $126.65
What is the area of the figure below? A = ________ in2?
152
86
76
171
Answer:
86
Step-by-step explanation:
20,157.5 + 8,725.37 =
Answer:
28,882.87
Step-by-step explanation:
20,157.50
+ 8,725.37
28,882.87
Answer:
28,882.87
Step-by-step explanation:
1
20,157.5
+ 8,725.37
28,882.87
Please help me so i don't fail :(
Answer:
y = 2x + 6
Step-by-step explanation:
slope-intercept form => y = mx + b
substitute two of the (x, y) into the equations: y = mx + b to solve for m and b
=> 0 = -3m + b, 6 = 0m + b
6 = 0m + b => b = 6
substitute b = 6 into 0 = -3m + b to solve for m:
=> 0 = -3m + 6 => -3m = -6 => m = 2
plug in b = 6 and m = 2 into the equation y = mx + b:
=> y = 2x + 6
hey -
extra points for u *
what is 4 - 3?
what is 8 + 9?
what is 7 x 2?
goodbye now
Answer:
4-3=1
8+9=17
7 x 2= 14
Step-by-step explanation:
Answer:
1
17
14
Step-by-step explanation:
4 + -3 = 1
8 - -9=17
14/2=7
HELP ME PLEASEEEEE IM BEGGING
Answer:
BELOW
Step-by-step explanation:
SO lets think about the information they give us.
Khan acadamy says that we have -3 x and 5 x.
So that just means that the quadratic at 0 has one curved line at -3x and another at 5x. Note that you should put the green dot on the top right on either -3x or 5x to do this.
Then they say the minimum is -4 y.
This just means that when x is 0, y should be -4. Note that you should put the midddle bottom green dot at -4 y exactly on the black line, which is at 0 x.
Green dot top right: (-3 or 5, 0)
Green dot middle bottom: (0, -4)
Hope this helps! ;)
Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?
12p + 7t = 62
7p + 12t = 62
12p = 62 – 7t
7p = 62 – 12t
What is 645/87 rounded to the nearest integer?
Answer:
7
Step-by-step explanation:
Firstly, let us divide the two numbers as so-
[tex]645/87=7.41379310345\\[/tex]
To round a number to the nearest integer, look at the decimal places.
Here we have .41 - The 4 is less than 5, so it cannot round the ones place to 8.
So our answer here is 7.
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
Answer:
Future Value = $ 12528.15
Step-by-step explanation:
The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:
[tex]Future\ Value = (Present\ Value)(1-depreciation\ rate)^n\\[/tex]
where,
Future Value = ?
Present Value = $ 24000
Depreciation Rate = 15% = 0.15
n = no. of years = 4
Therefore,
[tex]Future\ Value = (\$ 24000)(1-0.15)^4[/tex]
Future Value = $ 12528.15
Look at the sample space below. {1, 2, 3, 7, 9, 10, 15, 19, 20, 21} When chosen randomly, what is the probability of picking an odd number? P(odd number) = Question 5 options: 1/21 3/10 7/10 1/2 ANSWER AND GET 20 POINTS
Answer:
the probability of picking an odd number is 7/10
Answer:
The probability of getting an odd number is 7/10.
Step-by-step explanation:
There are 7 odd numbers: {1, 3, 7, 9, 15, 19, 21}
There are 3 even numbers: {2, 10, 20}
There are 10 numbers overall: {1, 2, 3, 7, 9, 10, 15, 19, 20, 21}
7 odd numbers out of 10 numbers is equal to 7/10
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit? Use 3.14 for pi. *
1 Marlena has a bag of coins. The bag
contains 8 quarters, 10 dimes, 4 nickels,
and 2 pennies. She will randomly select a
coin from the bag. What is the probability
that Marlena will select a nickel? (7.1A,
7.1B, 7.1F)
Answer:
The probability is 1/6
Step-by-step explanation:
Firstly, we need to get the total number of coins
that would be the sum of all the coins present
We have this as;
8 + 10 + 4 + 2 = 24 coins
The number of nickels is 4
So the probability of selecting a nickel is the number of nickels divided by the total number of coins
We have this as;
4/24 = 1/6
Helpppppp pleaseeeee illl give brainliest answer if u know dont answer if youuuu don’t know and pleaseeee just don’t give me a virus helppp
Answer:
There are two possible outcomes when flipping a coin. The theoretical probability that you will get "heads" when flipping a coin is 50%. If you, for example, got 26 tails and 24 heads, then the experimental probability of getting heads is 48%.
Step-by-step explanation:
There are two outcomes - heads or tails. In theory, you have a 50% chance of getting heads because half the time you should get heads, and the other half you should get tails. If you actually flipped a coin fifty times, there's a good chance it would not actually be 50/50. In the example, I flipped a coin fifty times and got tails 26 times and heads 24 times. Since we flipped it fifty times, we just have to double these numbers to figure out the percentage (because then it will be like I flipped it one hundred times, to make 100%). 26 × 2 = 52 and 24 × 2 = 48. So when I actually experimented, there was a 52% chance of me getting tails and 48% chance of me getting heads.
Someone who can help me please
Answer:
Vertex: (0,-1)
AoS: x=0
y-intercept: -1
x-intercepts: -1 & 1
Step-by-step explanation:
Don't know the domain or range
What is the volume of this prism?
A) 56
B) 28
C) 16
D) 112
Answer:
A) 56
Step-by-step explanation:
Cut the figure (I did it horizontally)
Then solve for the volume of each prism and add
(6*2*2) + (4*4*2)
24+32
56
Guided Practice
A recursive formula for an arithmetic sequence is given. What is the explicit formula for this sequence?
a1=42an=an−1−6a subscript 1 baseline equals 42 line break a subscript n baseline equals a subscript n minus 1 baseline minus 6
A.
an=42+(n−1)(−6)a subscript n baseline equals 42 plus left parenthesis n minus 1 right parenthesis left parenthesis negative 6 right parenthesis
B.
an=42+(n−1)−(−6)a subscript n baseline equals 42 plus left parenthesis n minus 1 right parenthesis minus left parenthesis negative 6 right parenthesis
C.
an=−6+(n−1)42a subscript n baseline equals negative 6 plus left parenthesis n minus 1 right parenthesis 42
Answer:
A.
an=42+(n−1)(−6)a subscript n baseline equals 42 plus left parenthesis n minus 1 right parenthesis left parenthesis negative 6 right parenthesis
Step-by-step explanation:
42 is the first term and −6 negative 6 is the common difference.
Math word problem,
thank you
Answer:
$81.92
Step-by-step explanation:
Week 1:
250 * 20% = 50
250 - 50 = 200
Week 2:
200 * 20% = 40
200 - 40 = 160
Week 3:
160 * 20% = 32
160 - 32 = 128
Week 4:
128 * 20% = 25.6
128 - 25.6 = 102.4
Week 5:
102.4 * 20% = 20.48
102.4 - 20.48 = 81.92