Answer:
What do you mean by #5?
Step-by-step explanation:
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
A sports stadium holds 14,600 people. There are eight home games in
a season. Find the total number of people who could attend home
games in one season.
Answer:
116800
Step-by-step explanation:
14600x8
166800
Answer:
b
Step-by-step explanation:
hope this helps you
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answer:
divide the number of inches by 12
Step-by-step explanation:
Can someone please tell me what is -1/9(-27) please
Look at the data points on the graph:
Is this relation a function?
find the volume, help please all numbers are in inches, will mark brainleist
Prism volume will be base area times height. We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24. The prism has a height 13. Multiplying we get a volume of 24×13 = 312 cubic inches.
Answer: 312 cubic inches
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
Which values are solutions to the inequality below
Check all that apply
(x*y)*z=144
x = y*3
z = y*2
please help
Answer:
whats the question that u need help with
Which of these graphs represents a function
A.w
B.x
C.y
D.z
The correct option is D. The graph z is representing a quadratic function.
What is a quadratic function?In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The general form of the quadratic functions is represented as below:-
y = ax² + bx + c
Where a,b, and c are the constants x and y are variables.
The graph of the quadratic functions will be parabolic on the x-y plane.
Therefore, the correct option is D. The graph z is representing a quadratic function.
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Need help with this
Answer:
5 to the power of -2
Step by Step explanation:
Because you are diving, you need to subtract the powers.
For example, you subtract 10 from 12 to get -2
The 5 remains the same so the answer should be 5 to the power of -2
Hope this helps
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15
Answer:
21
Step-by-step explanation:
It is given that y varies inversely with x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex] ...(i)
where, k is constant of proportionality.
It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.
[tex]-105=\dfrac{k}{-3}[/tex]
[tex]-105\times (-3)=k[/tex]
[tex]315=k[/tex]
Now,
[tex]y=\dfrac{315}{x}[/tex]
Substitute x=15 in the above equation.
[tex]y=\dfrac{315}{15}[/tex]
[tex]y=21[/tex]
Therefore, the value of y is 21 when x=15.
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?
Answer:
$338.20
Step-by-step explanation:
Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,
89/10=8.9
$8.9 per hour
So 38 hours would be
8.9 x 38= $338.20
Answer:
$338.20
Step-by-step explanation:
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
Which ordered pair is a solution of the equation?
2x + 4y = 6x - y
a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither
pls answer
ill mark brainliest
Answer:
b. only 5,4
Step-by-step explanation:
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
Which is a solution to 2x + 1 = 21?
Answer:
x = 10 is your answer
- Explain -
Step 1: subtract 1 from both sides (subtraction of equality)
which will give us:
2x = 21 - 1
which equals to
2x = 20
Step 2: Divide both sides by 2
which is
2x/2 = 20/2
2/2 = 1 and 20/2 = 10
Therefore the answer is x = 10
Which expression is equivalent to 10√5
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
Percentages equal to 100% and how?
Answer:
2 or more percents add up to 100% or one percent is 100%
Step-by-step explanation:
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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