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
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
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
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°
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
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 :)
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!!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
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
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
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]
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
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
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
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
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]
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
Please help I’ll give brainliest
Answer:
B. $180
Step-by-step explanation:
3/2 × $120 = $180
______
24 PLUS 18 IJIEWJFQFHQR
Answer:
37
Step-by-step explanation:
Answer:
24+18 is 42.
Step-by-step explanation:
1
24
+18
____
42
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
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.
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:
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
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.
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
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]
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
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.