Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
. There are 1,716 students participating in Field Day. They are put into teams of 16 for the
competition. How many teams are created?
Answer:
107 TEAMS
Step-by-step explanation:
1716/16=107
Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. Her job is to analyze which three to buy. How many combinations will she have to analyze
Answer:
10 combinations
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- total production
[tex]r = 3[/tex] --- aircraft to select
Required
The total number of combination
The number of combination is calculated using:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!*3!}[/tex]
[tex]^5C_3 = \frac{5!}{2!*3!}[/tex]
Expand
[tex]^5C_3 = \frac{5*4*3!}{2*1*3!}[/tex]
[tex]^5C_3 = \frac{5*4}{2*1}[/tex]
[tex]^5C_3 = \frac{20}{2}[/tex]
[tex]^5C_3 = 10[/tex]
-55x / 2 - 10 > -185 / 2
Answer:
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 3
Interval Notation: ( −∞, 3)
You are saving to buy a speed boat. Starting today, you will put $1,000 into an investment account. Each month thereafter, your contribution will be .1% (.001) higher than the month before, so that your contribution next month will be .1% higher than today, and so forth and so on. The investment account has a periodic monthly interest rate of .4% (.004). Ignore taxes. You will make contributions until 5 years from today.
At the end of five years, when you put in your last contribution, how much will you have saved?
Answer:
You will have saved $69,612 after five years.
Step-by-step explanation:
This can be calculated using the for formula for calculating the future value of a growing annuity as follows:
FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)
Where;
FW = future value or amount you will have saved after five years = ?
C = first deposit = $1,000
r = periodic monthly interest rate of = 0.4%, or 0.004
g = growth rate of contribution = 0.1%, or 0.001
n = number of months = 5 years * 12 = 60
Substituting all the values into equation (1), we have:
FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))
FV = $1,000 * 69.612001854052
FV = $69,612.00
Therefore, you will have saved $69,612 after five years.
A coffee pot holds 5 1/2 quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
22 cups
Step-by-step explanation:
1 quart is 4 cups. So therfore 5 1/2 * 4 =22
Hope this helped :)
solve all for brainiest
Answer:
a =55
b =16
c = 25
d = 9
Step-by-step explanation:
of means multiply is means equals
20% of a is 11
.20 a = 11
Divide by .20
a = 11/.20
a=55
75% of b is 12
.75 b =12
Divide by .75
b = 12/.75
b = 16
80% of c is 20
.80 c =20
Divide by .80
c = 20/.80
c =25
200% of d is 18
2.00 d = 18
Divide by 2.0
d = 18/2
d =9
f(x) = x3 + 6x2 – x
f(x) = 30?
Answer and Step-by-step explanation:
The answer is 2 (which is equal to x).
If you were to plug 2 in to the function, the result if 30.
[tex]x^{3}+ 6x^{2} -x\\\\\\\\(2)^3+6(2)^2 - 2 = 30 = f(2)[/tex]
#teamtrees #PAW (Plant And Water)
In 9b3 + 2b4 − 17b + b2, which term has the largest exponent?
(4+2)+8=14 choose an equivalent addition sentence that shows the associative of addition
Answer:
14 = 14
Step-by-step explanation:
(4 + 2) + 8 = 14
6 + 8 = 14
14 = 14
The table shows the first three terms of a
geometric sequence. Which of the following is a
formula for f(n) ?
Answer: E
Step-by-step explanation:
By using substitution we can find the answer is correct or not.
[tex]3(-2)^n\\3(-2)^1\\3(-2)\\-6\\3(-2)^2\\3(4)\\12\\3(-2)^3\\3(-8)\\-24[/tex]
as you can see the equation in answer E worked every time
Is this True or false ?
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Radical expression.
Find the slope of the line
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y= -2/5x-6
Step-by-step explanation:
y int is at -6
rise/run= -2/5
Find the greatest common factor of 56, 42, and 98.
Question 13 options:
A)
7
B)
36
C)
14
D)
24
Answer:
C, 14
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14. (The greatest factor that they all have in common.)
Please vote brainliest, thanks!
Select the correct measures for x and y.
*Will mark brainliest if correct*
Amy's art class is 6 hours long. How long is her class in minutes?
Answer:
360 minutes.
Step-by-step explanation:
Answer:
360 minutes
Step-by-step explanation:
The top of an 18-foot ladder touches the side of a building 14 feet above the ground. Approximately how far from the base of the building should the bottom of the ladder
be placed?
Answer:
Assuming that ladders should be placed at an 75° angle, let's translate it into a slope of 3.732 of a line (looked the value up, was too lazy to calculate it)
the distance from the orign in the picture is your answer, and one side of a triangle formed by the wall, the ground and the ladder
An urn contains three white and four red chips. Each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips. What is the probability that, in successive drawing of chips, the colors of the rst four chips alternate?
Answer:
The probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
Step-by-step explanation:
Step 1:
The probability that, in successive drawing of chips, the colors of the first four chips alternate, can occur in two ways: RED-WHITE-RED-WHITE (RWRW) or WHITE-RED-WHITE-RED (WRWR).
Step 2:
Given that an urn contains three white and four red chips and that each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips.
Probability of RWRW is given as follows:
Probabilty of the first being a red = 4/7
Probability of the next being a white = 3/9 = 1/3
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/14 = 3/7
Thus, probability of RWRW = 4/7 × 1/3 × 1/2 × 3/7 = 0.0408
Probability of WRWR is given as follows:
Probabilty of the first being a white = 3/7
Probability of the next being a white = 4/10 =2/5
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/15 = 2/5
Thus, probability of WRWR = 3/7 × 2/5 × 1/2 × 2/5 = 0.0343
Step 3:
Probability of RWRW or WRWR = 0.0408 + 0.0343 = 0.0751
Therefore, the probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
What's the equation of the axis of symmetry of the function f(x) = x2 + 8x - 10?
A) x= 5
B) x= -4
O C) x=-5
OD) x= 4
Answer:
x = -4
B is the answer
Step-by-step explanation:
To find the axis of symmetry, we will need to find the vertex of this function.
I have provided you with the steps to find the vertex.
After finding the vertex, pay attention to the x-value of the vertex because that is the axis of symmetry too. Hope this helps :)
On a coordinate map of the school cultural festival, the information booth is located at (4,5). The ticket booth is located 4 units north of the information booth. What ordered pair represents the location of the ticket booth? A-(0,5), B-(8,5), C-(4,9), D-(4,1)
Answer:
B.
Step-by-step explanation:
please help i need it!!!
Answer:
9
Step-by-step explanation:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
The line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
Can someone help me please
Answer:
20 cashiers
Step-by-step explanation:
There is 10 boxes. Each cashier is given 1/2 of one box.
10 multiplied by 2 (which is 20) gives you the amount of cashiers since each one is given one half and there is 20 one halfs in 10.
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth is necessary.
Answer:
V = 29.31 cm^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 (3.14) (2)^2 (7)
V =29.30666
Rounding to the nearest hundredth
V = 29.31 cm^3
How do I solve -4x > 50
Answer:
Hi, there your answer is [tex]x<\frac{-25}{2}[/tex]
Step-by-step explanation:
Step 1: Divide both sides by 4.
-4x /-4 > 50 /-4
x> -25 /2
Hope this Helps :)
PLEASE HELP!!! So the answer I got was 19.14 however that is not the correct answer. How do I solve this problem. Not sure what else to do.
Check the picture below.
so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.
[tex]\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill[/tex]
What is the explicit formula of the geometric sequence? 5,-15,45,-135
Answer:
Tn=a(-3)^(n-1)
where a is first term and n is number of terms
Step-by-step explanation:
r=-3
The mean temperature for the first 7 days in January was 3 °C.
The temperature on the 8th day was 7 °C.
What is the mean temperature for the first 8 days in January?
Answer:
3.5 °C
Step-by-step explanation:
To find the answer multiply 3 and 7 to get the sum of the temperatures in the first seven days.3 x 7 = 21
Add 21 and 8 together to get the sum of the temperatures in the first 8 days.21 + 8 =29
Divide 29 by 8 to get the mean temperature for the first eight days.29 ÷ 8 = 3.5
3.5 °C
Answer:
3.5⁰ C is the mean temperature for the first 8 days in January.
help please !!!!!!!!!!!!!!!
9514 1404 393
Answer:
yes
Step-by-step explanation:
The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.
We also have XS ≅ TP. By the addition property of equality, this means ...
XS +ST ≅ ST +TP
By the segment sum theorem, this means ...
XT ≅ SP
XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.
5. Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
b. If the regular price of an item is x dollars, what is the discount price in dollars?
C. The discount price of a hat is $18. What is the regular price?
Answer:
Step-by-step explanation:
20% = 20/100 = 0.2
The amount you need to pay for a T shirt is
Cost = original amount(100% - 20%)
Original amount = 18
100% - 20% = 80%
80% = 80 / 100 = 0.8
What this means is that you will pay 80% of the original cost.
Cost = 18*0.8
Cost = $14.40
Part B
Cost = 0.8 * x
Part C
Selling price = 0.8*Original Cost
Selling price = 18
18 = 0.8 * x
18/0.8 = x
x = 22.5
The original price was $22.50
