Answer:
A ≈ 5.6
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × PQ × PR × sin P
= 0.5 × 5.2 × 2.8 × sin50°
≈ 5.6 ( to 1 dec. place )
Which choice correctly describes this event? Every time I flip a coin / will get tails.
A)Certain
B)Impossible
C)Likely
D)Unlikely
Please help ASAP ill give BRAINLIEST
Answer:
D
Step-by-step explanation:
With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.
A is incorrect as it is possible to land heads on any flip.
B is incorrect as there is always a possibility of landing tails on every flip.
C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.
Hence D is the answer.
I NEED HELP ASAP
The volume of a cylinder is 14,130 ft 3 . If the diameter is 30 feet, calculate the height of the cylinder
Answer:
V = PI*r2h
In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.
Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.
V = pi * r2 * h
= pi * 32 * 5
= pi * 9 * 5
= 3.14 * 45
= 141.37 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.
The height of the cylinder is given by h = 20 feet
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the height of the cylinder be h
Now , the volume of the cylinder V = 14,130 feet³
The diameter of the cylinder d = 30 feet
So , the radius of the cylinder r = d/2 = 15 feet
And , Volume of Cylinder = πr²h
On simplifying , we get
14,130 = π( 15 )²h
Divide by 225 on both sides , we get
πh = 62.8
Divide by π on both sides , we get
h = 62.8 / 3.14
h = 20 feet
Therefore , the value of h is 20 feet
Hence , the height of the cylinder is 20 feet
To learn more about cylinder click :
https://brainly.com/question/16134180
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Factor the following:
x^2 - 9
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]
if you can, answer at least 2 question I put 10 points on it
Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?
Answer:
Greater than 15.
Step-by-step explanation:
Answer:
Step-by-step explanation:
P = 3a
3a > 45
a > 15
Allen finds the area of the woods to be 6600 square feet. Why is Allen
incorrect?
A: Allen is incorrect because he applied the scale to the sides and then
multiplied the width and the length together.
B: Allen is incorrect because he multiplied the length and the width and then
applied the scale.
C: Allen is incorrect because he did not apply the scale.
D: Allen is incorrect because he used the formula to find perimeter instead of
area.
Answer: C
Step-by-step explanation:
Manuel works for the water company as a meter reader. The meter below is the Jansen's water meter. What is the reading, in ccf, on the meter shown?
Answer:
See Explanation
Step-by-step explanation:
Required
The meter reading in ccf
The question is incomplete, as the meter readings is not given. So, I will solve using an assumed value for the meter readings.
Let
[tex]x\ m^3 \to meter\ readings[/tex]
The readings in ccf is:
[tex]Reading = \frac{x}{2.832}[/tex]
Now, assume the value of x is 25; The readings will be:
[tex]Reading = \frac{25}{2.832}ccf[/tex]
[tex]Reading = 8.83\ ccf[/tex]
lets find the answer
Answer:
-6,3....................
Answer:
(-4,3)
Step-by-step explanation:
A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.
Answer:
E
Step-by-step explanation:
Find the volume of a rectangular prism with base length = 8 ft, base width = 5 ft, and height = 2 ft.
a 15 ft
C. 80 ft
b. 30 ft
d. 132 ft
Answer:
C. 80 ft
Step-by-step explanation:
Volume=width ×height ×length
5×2×8 = 80
. A sequence starts with 180, 120, …. If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence.
Answer:
Arithmetic Sequence
[tex]T_n = 240-60n[/tex] ---- Explicit
[tex]T_n = T_{n-1} - 60[/tex] --- Recursive
Geometric Sequence
[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive
Step-by-step explanation:
Given
[tex]180, 120,....[/tex]
(a) Assume it is an arithmetic sequence
The explicit formula is calculated using:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 180[/tex]
[tex]d = 120 - 180[/tex]
[tex]d = -60[/tex]
So, we have:
[tex]T_n = 180 + (n - 1)*-60[/tex]
[tex]T_n = 180 -60n + 60[/tex]
Rewrite
[tex]T_n = 180 + 60-60n[/tex]
[tex]T_n = 240-60n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]
[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]
-
[tex]T_n = T_{n-1} - 60[/tex]
(b) Assume it is a geometric sequence
The explicit formula is calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 180[/tex]
[tex]r = \frac{120}{180}[/tex]
[tex]r = \frac{2}{3}[/tex]
So, we have:
[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]
Split
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]
Rewrite as:
[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]
[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]
[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]
[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]
[tex]T_n = 270* (\frac{2}{3})^n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]
[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]
-
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]
Two angles x and y are complementary - which means their
angles add up to 90 degrees. Angle y is 20 degrees less
than angle x. Find the measure of each angle.
Answer:
X=55° Y=35°
Step-by-step explanation:
X+Y=90°
Y= x-20
(X-20)+X=90°
2X-20=90°
2X=110°
X=55°
55°+Y=90°
Y=35°
Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.
Answer:
257.48 inches
Step-by-step explanation:
pi * radius^2 * Hight
find radius by dividing the diameter in half
pi = 3.14
6x + 3 + 4x = (9 + 10x)?x
Answer:
It has no solution.
Step-by-step explanation:
6x + 3 + 4x = 9 + 10x
10x + 3 = 9 + 10x
10x + 3 - 3 = 9 - 3 + 10x
10x = 6 + 10x
10x - 10x = 6 + 10x - 10x
0 ≠ 6
It has no solution.
given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (HELP PLEASE!!)
Answer:
opposite=8.402402490459 ,adjacent is already given=12, hypotenuse=14.64929507
Step-by-step explanation:
to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.
If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
Simplify x^1/3(x^1/2+2x^2)
Answer:
[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]
Step-by-step explanation:
Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex] Given.
2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.
3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result
Find the area of the figure.
Answer:
A = 132 cm²Step-by-step explanation:
Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.
Therefore:
[tex]A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132[/tex]
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]
Solve the inequality for x. 3x + 9 < 3
Answer:
x > - 2
Step-by-step explanation:
3x + 9 < 3
3x (+ 9 - 9) < 3 - 9
3x < -6
3x/3 < -6/3
x > -2 (dividing by negative numbers, you reverse the inequality sign at the end of an equation)
what is the length of side c?
Answer:
try doing 18.1
Step-by-step explanation:
hope this helps
Cora bought 90 feet of cable for $.25.20. She needs 40 more feet. If the unit price is the same, how much will she pay for the extra 40 feet of cable?
Answer: $11.2
Step-by-step explanation:
Given
Cora bought 90 feet cable for [tex]\$25.20[/tex]
So, the price of a foot is the division of rate and length
[tex]\Rightarrow \text{Price P=}\dfrac{25.20}{90}\\\\\Rightarrow P=\$0.28\ \text{per foot}[/tex]
for additional 40 feet, the cost is
[tex]\Rightarrow 0.28\times 40\\\Rightarrow \$11.2[/tex]
Thus, Cora pays $11.2 for extra 40 feet
Of Jamia’s 10 scrunchies, ⅖ are pink. How many are pink?
Answer:
4 are pink
Step-by-step explanation:
We have an uneven denominator So basically we Times 2/5 by 2/2
and we get 4/10
So out of the 10, 4 are Pink.
I hope this helps!
which statement is true ? BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST!
Answer:
[tex]\sqrt{11}[/tex] is between 3 & 4
Step-by-step explanation:
Simplify this expression using the distributive property.
2(2z+9)
Answer:
[tex]\bold{4z+18}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
Now, let's use this property to solve our problem:
[tex]\bold{2(2z+9)}[/tex]
[tex]\bold{4z+18}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Hi, let me help you out!
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In order to simplify this, we're going to use a property that's called the Distributive Property:
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
Where a, b, and c can be variables, constants, or both (like 4c).
Now let's simplify our expression:
[tex]\longrightarrow\tt{2(2z+9)}[/tex]
Multiply 2 times 2z and 9:
[tex]\longrightarrow\tt{4z+18}[/tex]
Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].
I hope this helps you! Have an awesome day.
If you need any explanation or clarification, just let me know! :)
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ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
Express 6 : 12 in the form n : 1 . Give n as a decimal.
Answer:
6:1
Step-by-step explanation:
Answer pls I dont know maths
Answer:
well learn math
Step-by-step explanation:
did you know that everyday is someone's birthday? if you don't
then Three piggies in the city.
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.
Answer:
B, C, D
Step-by-step explanation:
9x4=36 Yes
12x3=36 Yes
6x6=36 Yes
9x9=81 No
8x4=32 No
y=x + 4 and 2y = -2x - 8
What are the intercepts of the line y=x+4
x-value of x-intercept
|
y-value of y-intercept