Answer:
exact: 48pi cm^2
approximate: 150.8 cm^2
Step-by-step explanation:
SA = 2 * (pi)r^2 + 2(pi)rh
SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm
SA = pi(18 cm^2 + 30 cm^2)
SA = 48pi cm^2
SA = 150.8 cm^2
Which of the following is a classified as a trinomial
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
helppppp meeeee plz i'll give brainliest!!!
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
GEOMETRY HELP ASAP !!!!
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy the above onto your computer for future reference
sin(g) = 420/427
tan(z) = 77/420
cos(z) = 420/427
sin(m) = 427/427
part (E) the sin of any right angle will be 1 :)
Answer:
Solution given:
Sin G=opposite/hypotenuse=420/427
TanZ=Opposite/adjacent=77/420
CosZ=adjacent/hypotenuse=420/427
Sin M=opposite/hypotenuse=427/427=1
Find the value of the variables please please help me out I will mark you the brainly! Please please
Answer:
[tex]20 = \frac{Far \ arc - Near \ arc}{2}\\\\20 = \frac{160 - (2m +12)}{2}\\\\40 = 160 - (2m + 12)\\2m + 12 = 160 - 40\\2m = 120 -12\\2m = 108\\m = 54[/tex]
Answer:
m = 54
Step-by-step explanation:
The secant- secant angle 20° is half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )
- 2m + 148 = 40° ( subtract 148 from both sides )
- 2m = - 108 ( divide both sides by - 2 )
m = 54
For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth
Answer:
5.8
Step-by-step explanation:
Calculate the area of the figure.
HELP
Answer:
Step-by-step explanation:
A=bh A=7*8 A=56units^2
Answer:
34
Step-by-step explanation:
i think its 34
Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?
Answer:
The number is 222
Step-by-step explanation:
The given parameters are;
The method Ashley models the 3 digit number = A mix of six base-ten blocks
The digits of the 3 digit number are equal
Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;
Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;
x = y = z...(1)
x + y + z = 6...(2)
Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;
x + y + z = x + x + x = 6
∴ 3·x = 6
∴ x = 6/3 = 2
x = 2 = y = z
Therefore, the 3-digit numbers xyz = 222
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
Which set shows a subset of the set of natural numbers?
A
B.
C.
{19, 22, 34, 56 )
{16.9, 34.5, 67.2, 78.3}
{0, 22, 43, 78)
22.
-1
100)
7
D.
To get the x and the y
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]
; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13
[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]
; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
What's the result of subtracting the second equation from the first ? please provide steps <3
2x + 4y =2
-2x+ y = -9
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
Enter your answer in the box. Round to the nearest hundredth.
units
Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
plzzzzzzzzzzzzz helpppppppppppppp
Answer:
Question 25:[tex]6[/tex]
Question 19:[tex]16[/tex]
Step-by-step explanation:
Question 25:[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]
[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]
[tex]y = 3( 2 - \frac{x}{12} )[/tex]
[tex]y = 6 - \frac{x}{4} [/tex]
[tex]y = - \frac{x}{4} + 6[/tex]
Question 19:[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 18[/tex]
To find the c value ,
[tex]c = ( \frac{b}{2} {)}^{2} [/tex]
divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....If −2x + 3 = 13, then 2x =____?
-5 - 2n = 8n + 25
What is n? n = ____
Answer:
[tex]n = -3[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5-2n=8n+25
-5-25=8n+2n
-30=10n
-30/10=n
-3=n
Step-by-step explanation:
therefore n=-3
Hope this helps u!!
The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.
Answer:
[tex]f = \frac{720}{11}[/tex]
Step-by-step explanation:
Given
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation
[tex]f = 60; T = 121; L = 12[/tex]
Required
Find f, when T =81; L = 9
We have:
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]
Express as equation
[tex]f = k\frac{\sqrt T}{L}[/tex]
Make k the subject
[tex]k = \frac{fL}{\sqrt T}[/tex]
When [tex]f = 60; T = 121; L = 12[/tex]
[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]
[tex]k = \frac{60 * 12}{11}[/tex]
[tex]k = \frac{720}{11}[/tex]
To solve for f, when T =81; L = 9
We have:
[tex]f = k\frac{\sqrt T}{L}[/tex]
[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]
[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]
[tex]f = \frac{720}{11} * 1[/tex]
[tex]f = \frac{720}{11}[/tex]
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
HELLPPPP!!!!!!
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year.
How many helmets did the company sell in their first year?
Answer:
1,260 helmets
Step-by-step explanation:
100/225 × 2,835 = 1,260
Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?
Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
Find the indicated term in the sequence.
Please show steps too! Thank you.
Answer:
Value of An if n is 17 = -834
Step-by-step explanation:
Given:
A100 = 245
d = 13
n = 17
Find:
Value of An if n = 17
Computation:
An = a + (n-1)d
A100 = a + (100-1)13
245 = a + (99)17
245 = a + 1,287
a = 245 - 1,287
a = -1,042
So,
Value of An if n = 17
An = a + (n-1)d
A17 = -1,042 + (17-1)(13)
A17 = -1,042 + (16)(13)
A17 = -1,042 + 208
A17 = -834
Value of An if n is 17 = -834
Help please explain
Given:
[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]
To find:
The correct equivalent equation.
Solution:
We have,
[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]
Taking sin on both sides, we get
[tex]\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A[/tex]
[tex]\dfrac{5}{8}=\sin A[/tex] [tex][\because \sin (\sin^{-1}\theta )=\theta][/tex]
Interchanging the sides, we get
[tex]\sin A=\dfrac{5}{8}[/tex]
Therefore, the correct option is 4.
What is the surface area of the ice cream
cone? (Hint: The top of the cone is open and
not included in the surface area.)
mm
Cone Surface Area =
Answer:
[tex]13194.7\ mm^2[/tex]
Step-by-step explanation:
The total surface area of a cone is given by:
Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]
where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]
Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:
[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]
The dog-to-cat ratio at the adoption center is 7:3 The total number of dogs and cats is 110. How many dogs are at the adoption center? How many cats?
Answer:
77 dogs
33 cats
Step-by-step explanation:
7+3 = 10
110 ÷ 10 = 11
11 x 7 = 77
11 x 3 = 33
11. Find the H.C.F of 96 and 120.
Answer:
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.
Answer:
11/15
Step-by-step explanation:
P('Y' or 'R') = 5/15 + 6/15 which is 11/15
What is geometric mean of 4 and 32???????
Answer: 18
Step-by-step explanation:
I just found the number in between
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{4(32)}[/tex]
= [tex]\sqrt{128}[/tex]
= [tex]\sqrt{64(2)}[/tex]
= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]
= 8[tex]\sqrt{2}[/tex]
Please someone help me ?!?!?
Answer:
I believe it would be B. SAS
Step-by-step explanation:
You have two sides and one angle that are congruent in both