Answer:
280 square units
Step-by-step explanation:
Area of the rectangle:
A = b* h = 16 * 15 = 240
Area of the triangle:
A = bh/2 = (16*5)/2 = 40
Total area = area of triangle + area of rectangle = 240 + 40 = 280 square untis.
Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.
Which rule could model the height of the nail from the ground?
a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3
Answer:
f(x)=1.5cos(16πx)+1.5
(Question on a Quiz was correct)
The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as A
Now , the value of A is
f ( x ) = 1.5cos ( 16πx ) + 1.5
Let the diameter of the tire be x
Let the height of the nail from ground be f ( x )
On simplifying , we get
when x = 3 feet
f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5
f ( 3 ) = 1.5 cos ( 48π ) + 1.5
From the trigonometric relation cos ( nπ ) = 1
f ( 3 ) = 1.5 + 1.5 = 3 feet
Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ3
Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800
Answer:
200*34=6800
Step-by-step explanation:
Write the possible combinations like
200*34
200*43
300*24
300*42
400*32
400*23
then you chose what will give you 6800 as the answer
Please Help ASAP
Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?
Answer:
140 drops
Step-by-step explanation:
Length of the pool = 24 feet
Width of the pool = 14 feet
Depth of the pool = 5 feet
Volume of the pool = length × width × depth
= 24 ft * 14 ft * 5 ft
= 1,750 ft³
Volume of the pool = 1,750 ft³
He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.
Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³
= 1,750 ft³ / 50 ft³
= 35
Number of 50 cubic feet in the volume of the pool = 35
How many drops of chlorine should Jorge use to chlorinate his pool properly?
Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool
= 4 × 35
= 140 drops
Number of drops of chlorine Jorge should use = 140 drops
What is the circumference of the circle when there's a radius of 5
hii frnds i m new in this app
Answer:
Hello
Step-by-step explanation:
Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!
Answer:
Welcome to Brainly. I hope you enjoy your stay.
What is 2.712264 rounded to the nearest cent?
marking brainliest
Answer:2.7
Step-by-step explanation:trust me
Answer:
2.71-----------------
What is the fraction equivalent of 40% in simplest form? 2/5 4/10 40/100 4/100 pan
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
good luck you got this
Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9
Answer:
Option E
Step-by-step explanation:
Explicit formula of a geometric sequence is,
[tex]T_n=a_1(r)^{n-1}[/tex]
Here, [tex]a_1=[/tex] First term
[tex]r=[/tex] common ratio
[tex]n=[/tex] number of terms
If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]
Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]
[tex]r=\frac{9}{18}[/tex]
[tex]r=\frac{1}{2}[/tex]
By substituting these values in the formula,
[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]
Therefore, Option E is the answer.
In triangle ABC, if angle A measures 78° and angle B measures 63º, what is the measure of angle C?
Answer:
∠C=39°
Step-by-step explanation:
The interior angles of a triangle will always have a sum of 180°.
∠A+∠B+∠C=180°
78°+63°+∠C=180°
∠C=180°-78°-63°
∠C=39°
Answer:
39 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees. So, you know that angle C added with angles A and B will equal 180. if you take 180, minus 78, minus 63, you get the answer 39.
Simplify 2/5 (40x – 75)
which one ?? help plsss
100x - 187.5
80x/5 - 150/5
80x - 150
16x-30
Answer:
16x-30
Step-by-step explanation:
distribute 2/5 by 40x and then 75
2/5(40x) - 2/5(75)
16x - 30
3 • 12 ÷ 2 • 3 ÷ 3
6
2
18
54
Answer:
18.
Step-by-step explanation:
3*12 = 36
36/2 = 18
18*3 = 54
54/3 = 18
Answer:
18
Step-by-step explanation:
3 x 12 is 36,
36 divided by 2 is 18,
18 x 3 is 54,
54 divided by 3 is 18
neeeeeed helppp!!
[tex]\sqrt{10^1^0}[/tex]
Thanks!
Answer:
100000 is your answer
Step-by-step explanation:
Hope it helps...
Thanks for the points
Answer:
100000
Step-by-step explanation:
[tex]\sqrt{10^{10} }[/tex]
[tex]10^5[/tex]
[tex]100000[/tex]
---------------
Thanks, have a great day!!
please please helppp!!
Answer:
Step-by-step explanation:
Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.
Here's our basic equation:
cos31=x/17
or
17 * cos31=x
Put this into the calculator and you get around 15.6
7x + 6y = -1 ; -x + 2y = 3 with elimination
Answer:
x= -1, y=1
Step-by-step explanation:
First label the 2 equations.
7x +6y= -1 -----(1)
-x +2y= 3 -----(2)
Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.
(2) ×3:
-3x +6y= 9 -----(3)
Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.
(3) -(1):
-3x +6y -(7x +6y)= 9 -(-1)
Expand:
-3x +6y -7x -6y= 9 +1
-10x= 10
x= 10 ÷(-10)
x= -1
Substitute x= -1 into (2):
-(-1) +2y= 3
1 +2y= 3
2y= 3 -1
2y= 2
y= 2 ÷2
y= 1
------------------------------------------------------------
2nd method: eliminating the x term
(2) ×7:
-7x +14y= 21 -----(3)
Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.
(1) +(3):
7x +6y -7x +14y= -1 +21
20y= 20
y= 20 ÷20
y= 1
Substitute y= 1 into (2):
-x +2(1)= 3
-x +2= 3
-x= 3 -2
-x= 1
x= -1
Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.
Answer:
1 / 2704
Step-by-step explanation:
Number of cards in a deck = 52
9 of clubs in a deck = 1
10 of clubs in a deck = 1
Probability = required outcome / Total possible outcomes
P(9 of club) = 1 / 52
With replacement ;
Then ;
P(10 of club) = 1 / 52
Hence,
P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704
At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed? A. (191 B. |-191 C. |-301 D. |-381
if anyone wants to answer my last 2 questions I would really appreciate
Answer: -30
Step-by-step explanation:
My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.
#[tex]AnimePower[/tex]
what are the difference in finding the cirumference circle and finding the area of circle
Answer:
the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it
What does e-waste or electronic waste not include?
Answer:
microwave ovensStep-by-step explanation:
Hopes this helps. Mark as brainlest plz!aeo
What is the surface area of the cylinder with height 3 km and radius 6 km? Round
your answer to the nearest thousandth.
Answer:
339.290
Step-by-step explanation:
by using the formula for surface area of cylinder that is 2πrh+2πr^2
pls helpppp lol :/ I’d really appreciate it !!
Step-by-step explanation:
60+5x+5=180 (being angle of straight line)
5x+65=180
5x=180-65
5x=115
x=23
Please help with this one too??
Answer:
21979
Step-by-step explanation:
21979 = 11(1997)+12
:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.
Answer:
Okay well if you need to find mph she is going 10 mph
Step-by-step explanation:
1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min
(URGENT !!!) Which is a reasonable equation for the line of best fit for the data shown in the scatter plot? Using the equation, predict y if the value of x is 20.
F. y=x
G. y= x+2
H. y=2
J. y= 1/2x +2
(This is scatterplots)
Answer:
1. Y = 1/2x + 2
2. X = 20 - Y = 12
Step-by-step explanation:
1. The other formulas clearly don't fit.
2. Simply fill in 20 for X and solve the formula.
Which equation gives the rule for this table?
Answer:
C. y = x + 2
Step-by-step explanation:
2 is being added onto both sides
What is the value of x. Please help out. This is due today!
Answer:
70°
Step-by-step explanation:
In the context it says that Franklin St. is parallel to Washington St.
The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.
Supplementary angles are angles that add up to each other to make 180°
So lets subtract:
180 - 110 = 70°
Angle x = 70°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x^2 – 484
lesser x =
greater x =
Answer:
11 and -11
Step-by-step explanation:
If y varies inversely as the square ofx, and y = 1/8 when x = 1, find y when x = 5
Answer:
25/8
Step-by-step explanation:
The question can be interpreted as
Y= k/x^2.......eqn(1)
Where k= constant if proportionality
y = 1/8 when x = 1,
Substitute, we have
1/8= k/(1)^2
1/8= 1/k
Cross multiply
K= 1/8
find y when x = 5
From eqn(1)
Y= k/x^2
Y= (1/8)/(5)^2
Y=1/8 ×25
Y= 25/8
Please help me find volume for this pyramid I'm having trouble.
Answer:
A. 850 cubic feet
Step-by-step explanation:
Have a good day :)
8 people from a group of 12
If you're meaning about subtracting:
12-8=4
If you want in fraction: 8/12
mark me brainliestt :))
-3(8n+10)
distributive property