Answer:
The area of sector is [tex]25.12 miles^2[/tex]
Step-by-step explanation:
Radius of circle = 4 miles
We are supposed to find the area of a sector bounded by a 180 arc
[tex]\theta = 180^{\circ}[/tex]
Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]
Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]
Area of sector = [tex]25.12 miles^2[/tex]
Hence The area of sector is [tex]25.12 miles^2[/tex]
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
What is experimental probability that this spinner lands on red?
Answer:
I think its 10
Step-by-step explanation:
Add all three then divide by three.
Answer:
There is a 20% of it landing on red
Step-by-step explanation:
add 6,9,15 to get 30 the 6/30=0.2 and multiply by 100
You can check you work by following the same process
please mark me as the brainliest
thank you
Which function represents f(x)=3^x ?
Answer:
The answer would be function 2.
Step-by-step explanation:
I found this out by plugging in 0 into x. What I got then was one. So I found that function 2 has a spot on 0, 1. that is how I got the answer.
Brainliest would be appreciated.
Answer:
it is function 2
i plugged it in on desmos graph
PLS I MARK BRAINLIEST I ONLY HAVE 30 MINS LEFT
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work AND I NEED TO KNOW HOW YOU DID IT IT SAYS SHOWYOUR WORK
In 1925, the population of a city was 90,000. Its
population increases by 2.1% per year. What will the population be in 2020?
Answer:
17,955,000
Step-by-step explanation:
Answer:
闭嘴黑鬼
Step-by-step explanation:
Help I will mark BRAINLIEST if correct please help
Answer:
[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]
Step-by-step explanation:
If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]
Which is true about the volume or surface area of these prisms?
The surface area of A is greater than the surface area of B.
The surface area of B is greater than the surface area of A.
The volume of A is greater than the volume of B.
The volume of B is greater than the volume of A.
Answer:
the surface area of A is greater than the surface area of B
Step-by-step explanation:
A surface area: 112
B surface area: 104
A area: 60
B area: 60
Answer:
The surface area of A is greater than the surface area of B
Step-by-step explanation:
Volume = L x W x H
A= 3 x 2 x 10
= 60m^3
B = 2 x 6 x 5
= 60m^3
Surface Area = 2(l x w) + 2(l x h) + 2(w x h)
A = 2(3 x 2) + 2(3 x 10) + 2(2 x 10)
= 2x6 + 2x30 + 2x20
= 12 + 60 + 40
= 112m^2
B = 2(l x w) + 2(l x h) + 2(w x h)
= 2(2 x 6) + 2(2 x 5) + 2(6 x 5)
= 2x12 + 2x10 + 2x30
= 24 + 20 + 60
= 104m^2
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
what is the inequality
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.
jina works mowing lawns and babysitting she earns $7.90 an hour for mowing $7.40 an hour for babysitting how much will she earn for 1 hours of mowing and 5 hours of babysitting
Answer:
in total she will make $44.90.
Step-by-step explanation:
7.40(5)+7.90(1)=$44.90
Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?
Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 7)
Answer:
x = -6
Step-by-step explanation:
0 = In(x + 7)
x + 7 = e⁰
x + 7 = 1
x = 1 - 7
x = -6
Steps to solve:
0 = In(x + 7)
~Log definition
e^0 = x + 7
~Simplify
1 = x + 7
~Solve for x
1 - 7 = x + 7 - 7
-6 = x
Therefore, the answer is x = -6
Best of Luck!
Raymond and Daniel were in a pie eating contest. Daniel ate five times as many pies as Raymond. Together they ate
24 pies in 30 minutes. How many pies did each one eat?
steps ?
Answer:
Raymond ate 5
Daniel ate 25
Step-by-step explanation:
x= Raymond
5x= Daniel because he ate 5 times as many as Raymond
x+5x=30
add like terms
6x=30
divide by 6
x=5 Raymond
5*5=25
25=Daniel
Find the measure of angle t.
Your answer
Answer:
11 degrees
Step-by-step explanation:
90 - 79 = 11
What is the slope of the graph?
Answer:
1
Step-by-step explanation:
Slope is essentially just the change in y divided by the change in x. "Change in y" just means the difference in the y-coordinates, while "change in x" means the difference in the x-coordinates.
Let's choose any two points: (-1, 0) and (0, 1). The difference in the y-coordinates is: 1 - 0 = 1. The difference in the x-coordinates is: 0 - (-1) = 1. Divide these:
1 ÷ 1 = 1
Thus, the slope is 1.
We can use the points (-1, 0) and (0, 1) to solve.
Slope formula: y2-y1/x2-x1
= 1-0/0-(-1)
= 1/1
= 1
Best of Luck!
Which expression is equal to 420−−√−345−−√?
115√
−115√
5√
−5√
Answer:
[tex]-\sqrt{5}[/tex]
I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above
Please help will be greatly appreciated
Answer:
Step-by-step explanation:
Hands you please help
A point is chosen randomly on AD. What is the probability that the point is on BC?
How to change miles per hour to feet per second?
Answer:
1 mph = 1.46666667 fps
A flagpole casts a shadow that is 25 feet long. A signpost near the flagpole is 3 feet tall, and it casts a shadow that is 5 feet long. How tall is the flagpole?
Answer:
The ratio of shadow should be kept, then we have: x/25 = 3/5
=> x = 25 x 3/5 = 15
=> The flagpole is tall 15 feet
Hope this helps!
:)
Answer:
15 feet
Step-by-step explanation:
Length : shadow
3 : 5
X : 25
X/25 = 3/5
X = 25 × 3/5
X = 15
Help meh................
....
Answer:
71-45 is 26
Step-by-step explanation:
Answer:
71-45 = 26
Step-by-step explanation:
plz help
In order to transport goods, there are 16 vans total, and each must make 12 trips. How many vans will be needed in order to transport the same amount of cargo, if the number of trips that one van takes is increased by one-third?
Answer:
you will need 21 vans total
Answer:
12 Vans
Step-by-step explanation:
16*12=196
196/(12+1/3*12)=196/16=12
The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11
Answer:
F(x)=(x-3)(x+8)(x-11)=0
(x-3)=0, (x+8)=0, (x-11)=0
X=3
X=-8
X=11
B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box
Answer:
Given
¯¯¯¯¯¯¯¯¯
D
A
C
is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,
∠
D
A
B
, is 105°, we can know that the other segment
∠
B
A
C
must equal 75, since
105
+
75
=
180
.
Once we've found the measure of
∠
B
A
C
to be 75°, and given the measure of
∠
A
C
B
to be 35, we can then find the measurement of
∠
A
B
C
.
Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.
75
+
35
+
m
∠
A
B
C
=
180
110
+
m
∠
A
B
C
=
180
m
∠
A
B
C
=
70
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
7x-y=7
x+2y=6
Answer:
x = 4 / 3, y = 7 / 3
Step-by-step explanation:
We are given the following system of equations;
{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,
x + 2y = 6 }
2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations
+ x + 2y = 6 + x + 2y = 6
14x + x = 14 + 6 ⇒ Simplify
15x = 20,
x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,
7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,
28 / 3 - y = 7,
y = 7 / 3
Solution; x = 4 / 3, y = 7 / 3
What is the correct answer
By the theorem,
48/20 = 36/x
x = 36(20)/48 =12(3)(4)(5)/((4)(12)) = 15
Answer: 15, second choice
Jessica has been tracking the population of a town. The population was 8,230 last year and has been increasing by 1.25 times each year. How can Jessica develop a function to model this?
Answer:
Population at start : 8,230.
The rate of growth: r = 1.25
x - number of the years;
Answer:
B ) f ( x ) = 8,230 * ( 1.25 ) ^x where 1.25 is the rate of growth.
Step-by-step explanation:
Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.
What is exponential population growth?In an ideal condition where there is an unlimited supply of food and resources, the population growth will follow an exponential order.
Jessica has been tracking the population of a town.
The population was 8,230 last year and has been increasing by 1.25 times each year.
The population growth function is;
[tex]\rm f(x)=P_0 x^t[/tex]
Substitute all the values in the formula;
[tex]\rm f(x)=P_0 x^t\\\\f(x) = 8230 (1.25)^x[/tex]
Hence, Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.
Learn more about function here;
https://brainly.com/question/4637637
#SPJ2
which is greater 27 or -49
Answer:
27
Step-by-step explanation:
it's a lager number so it's greater
Answer:
27
Step-by-step explanation:
Positive is always greater than a negative.
Volume task
A box 2 centimeters high, 3 centimeters wide, and 5 centimeters long can hold 40 grams of clay. A second box has twice the height, three times the width,
and the same length as the first box. How many grams of clay can it hold?
Answer:
grams of clay it can hold = 6 × 40 = 240 grams
Step-by-step explanation:
The first box has a height 2 cm , width of 3 cm and a length of 5 cm. The box can only hold 40 grams of clay . The volume of the box can be calculated as follows
volume = length × width × height
height = 2 cm
width = 3 cm
length = 5 cm
volume = 5 × 3 × 2 = 30 cm³
The second box has twice the height of the first box , 3 times the width of the first box and retains the same length of the first box. The dimension are as follows
height = 2 × 2 = 4 cm
width = 3 × 3 = 9 cm
length = 5 cm
volume = length × width × height
volume = 5 × 9 × 4 = 180 cm³.
The volume of the second box is 6 times bigger than the first box therefore , it can hold 6 times the weight of the first box.
grams of clay it can hold = 6 × 40 = 240 grams
NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?
Answer:
16.0%
Step-by-step explanation:
