Answer:
3/8 π radians
Step-by-step explanation:
The Area of a sector when then central angle is in radians = 1/2r² θ
Where
θ = central angle = ?
r = 16 cm
Area of the sector = 48πcm²
Hence
Central angle = Area of a sector ÷ (1/2r²)
= 48πcm² ÷ (1/2 × 16²)
= 48πcm² ÷ 128
Central angle = 3/8π radians
Therefore, Central angle = 3/8π radians
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
Please help thanks! Brainliest
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
If Harry flies to the moon at 4000 miles per hour, but returns at 6000 miles per hour, what
is Harry’s average speed of the trip?
Answer:
5000 miles per hour.
6000+4000 =10000
10000/2 = 5000 miles per hour
Can someone help wit this please
Answer:
1520.53
Step-by-step explanation:
The volume of a cylinder is V = pi r^2 h
So you put 16 as the h and half of 11 because 11 is the diameter as r.
V= pi (5.5)^2 * 16
We can also approximate pi and put 3.1415
V= 3.1415 * (5.5)^2 * 16
V = 3.1415 * 30.25 * 16
V= 1520.486
And that is closest to the 3rd option 1520. 53 so that's the answer.
Mrs. Terry's class has 28 students. The class includes 12 boys. What is the
ratio of girls to boys? (remember to simplify)
3:4
3:7
4:3
7:3
Answer: 4:3.
Step-by-step explanation:
The original answer is 16:12. But, when it's simplified, it's 4:3
Answer:
4:3
Step-by-step explanation:
28-12 the boys
16=girls
ratio; 16=12
g=b
simplify 16=12
4=3
Simplify: (4 – 5) – (13 – 18 + 2).
(4 – 5) – (13 – 18 + 2).
= -1-(13+2-18).
= -1-(15-18).
= -1-(-3).
= -1+3.
= 2.
Answer:
the answer is 3
Step-by-step explanation: ik
A regular pentagon ABCDE is shown.
A
חי
B
X
Work out the size of angle x.
nothing is shown as far as I can tell
edit: but the inner angles of a regular pentagon should always be 120°. maybe it helps
Step-by-step explanation:
can see any photo concerning the angle
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=58
Step-by-step explanation:
Answer:
x=26 degree
Step-by-step explanation:
x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)
x+154=180
x=180-154
x=26 degree
therefore the value of x is 26 degree.
Need help with this!!! Only have a few minutes left!!!
Answer:
Step-by-step explanation:
The number of subsets that can be created from the set {1, 2, 3} is:
Answer:3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subset : {} ; {1} ; {2} ; {3} ; {1,2} ; {2,3} ; {1, 3} ; {1,2,3}
Number of subsets = 8
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
Reduce to its lowest term: 12/24?
Answer:
12/24 to the lowest term is 1/2
Step-by-step explanation:
12 is half of 24, 1 is half of 2
Answer:
It's lowest term is 1/2.
someone help me with this
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
9+4^2/8x3
What does this equal ?
Answer:
[tex]9+4^2\div 2^3\tems*3[/tex]
[tex]9+2^4\div8*3[/tex]
[tex]9+2*3[/tex]
[tex]9+2*3[/tex]
[tex]9+6[/tex]
[tex]15[/tex]
-------------------------hope it helps..have a great day!!Here is a formula 5t+3=4w(t+2) rearrange the formula to make t the subject
Answer: [tex]t=\frac{8w-3}{-4w+5}[/tex]
Step-by-step explanation:
Ok let's solve for t
[tex]5t+3=4w(t+2)\\[/tex]
First let's use the distributive property
[tex]5t+3=(4w)(t)=(4w)(2)\\5t+3=4tw+8w[/tex]
Now let's subtract 4tw to both sides
[tex]5t+3-4tw=4tw+8w-4tw\\-4tw+5t+3=8w[/tex]
Next we'll subtract 3 on both sides
[tex]-4tw+5t+3-3=8w-3\\-4tw+5t=8w-3[/tex]
We can now factor out the variable t
[tex]t(-4w+5)=8w-3[/tex]
Now we can divide both sides by -4w+5 giving us our answer
[tex]\frac{t(-4w+5)}{-4w+5} =\frac{8w-3}{-4w+5} \\t=\frac{8w-3}{-4w+5}[/tex]
Help please, por favor, s'il vous plait in all the language I can say please. I really need your help
Answer:
192
Step-by-step explanation:
16^2+b^2= 20^2
256+b^2=400
b^2=144
b= 12
height = 12
1/2bh= Area of a triangle
12*32=384
384/2= 192
How many four digit numbers cannot be divided by 5?
Answer:
7200
Step-by-step explanation:
Since the first digit cannot be zero,
there are 9*10*10*10 = 9000 4-digit numbers.
Each of these with a last digit not equal 5 or 0 is not divisible by 5.
Therefore, there are 8 choices of last digit
9*10*10*8 = 7200
what is 9/7 - 1/6= answer
Answer:
tht's just the answer
Step-by-step explanation:
9/7 is equal to 54/42 and 1/6 is equal to 7/42
54/42 - 7/42 is equal to 47/42
Answer:
47/42
Step-by-step explanation:
First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.
9/7 * 6/6 = 54/42
1/6 * 7/7 = 7/42
54/42 - 7/42 = 47/42
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
Answer:
y = 6·sin(3·(x - 1)) + c
Step-by-step explanation:
The general form of an equation for a sinusoidal function is presented ad follows;
y = a·sin(b·(x - h) + c
Where;
a = The amplitude of the equation
T = The period = 2·π/b
h = The phase shift
c = The vertical shift
From the question, we have;
a = 6,
2·π/3 = 2·π/b
∴ b = 3
h = 1
We get;
y = 6·sin(3·(x - 1)) + c.
Your bill at dinner is $25. Sales tax is 8.1% and you will tip 18%. What is your total.
whoever does the step by step FIRST will get brainliest
Answer:
31.525
Step-by-step explanation:
first you calculate the tip, 0.18*25 is 4.5
then you calculate the tax, 0.081*25 is 2.025
finally you add everything together, 25+4.5+2.025 is 31.525
24 PLUS 18 IJIEWJFQFHQR
Answer:
37
Step-by-step explanation:
Answer:
24+18 is 42.
Step-by-step explanation:
1
24
+18
____
42
What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Answer:
The average rate of change over the interval is 120
Step-by-step explanation:
For a function f(x) the average rate of change over an interval [a,b] is given as;
f(b)-f(a)/b-a
in this case, a is 2 and b is 4
f(b) is 256 and f(a) is 16
Substituting these values in the equation for rate of change, we have;
(256-16)/(4-2) = 240/2 = 120
what is the result when this equation is solved for y?
Answer:
Ans:C
Step-by-step explanation:
4x^2+10x-2=6
4x^2+10x=6+2y
4x^2+10x-6=2y
(4x^2+10x-6)÷2=y
y=2x^2+5-3
Hope this is useful :)
pls pls help
Perform the indicated operations.
a) 7a/20b
b) 7ab/20
c) 7/20ab
Answer:
it's a) 7a/20b
Step-by-step explanation:
[tex]5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\ \\ \frac{5a + 10 - 2a + 2 + 4a - 12}{20b } \\ \\ \\ \frac{7a}{20b} [/tex]
Answer:
A
Step-by-step explanation:
ik that the answer
p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)
Answer:
y = 63
Step-by-step explanation:
A straight line is equal to 180 degrees.
180 = 2y - 18 + y + 9
180 = 3y -9
189 = 3y
189/3
y = 63
Answer:
63
Step-by-step explanation:
2y-18+y+9=180 degrees
3y-9=180 degrees
3y=189 degrees
y=63 degrees
Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, then how many batches of tarts can Jessica make?
Answer:
108
Step-by-step explanation:
Jesicca wants to make tarts
She uses 3/4 cup of flour per batch
Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows
= 9÷ 3/4
= 9÷ 0.75
= 12
= 12×9
= 108
Hence Jessica will make 108 batches of tart
A . 12
B . 15
C . 36
D .39
Answer:
The answer is 36 or c all you need to do is multiply 12 by 3
C-36 because your multiplying all of them by 3
Please help I’ll give brainliest
Answer:
B. $180
Step-by-step explanation:
3/2 × $120 = $180
______
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
28[tex]\pi[/tex] in
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] in which [tex]r[/tex] represents radius.
[tex]2\pi[/tex]×14 = 28[tex]\pi[/tex] in
Answer:
[tex]circumference \: of \: the \: circle = 2\pi \times radis[/tex]
[tex] = 2 \times \frac{22}{7} \times 14[/tex]
[tex] = \frac{11}{1} \times 2[/tex]
[tex] = 11 \times 2[/tex]
[tex]22cm[/tex]