Answers
Answer:
Option D
Step-by-step explanation:
17). Area of a sector of a circle = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]
= [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
Here 'r' = radius of the circle
From the picture attached,
r = 10 ft
θ = 300°
Area of the sector = [tex]\frac{300}{360}[\pi (10)^{2}][/tex]
= [tex]\frac{5}{6}(100\pi )[/tex]
= [tex]\frac{250\pi}{3}[/tex]
Area of the sector = [tex]\frac{250\pi}{3}[/tex] ft²
Therefore, Option (D) will be the correct option.
Answer:
area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²
Related Questions
Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.
Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is
.
The relative frequency of landing on caterpillar is
.
The relative frequency of landing on chrysalis is
.
The relative frequency of landing on adult is
.
All the outcomes
be considered equally likely.
Answers
Answer:
0.20, 0.24, 0.30, 0.26
Step-by-step explanation:
Hope this helps <3
Answer:
I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.
Step-by-step explanation:
If you are framing a photo that is 4in by 7 in, and you want the frame to be the same width all around, and the total area of the frame and the photo is 130in squared, what is the width of the photo?
Answers
Answer:
3.36in
Step-by-step explanation:
The total surface area of the cardboard is expressed as;
TSA = 2(LW + LH + WH)
L is the length = 4in
W is the width
H is the height = 7in
TSA = 130in²
Substitute the given values into the formula and get the width W
TSA = 2(LW + LH + WH)
130 = 2(4W+4(7) + 7W)
130 = 2(11W+28)
130 = 22W+56
22W = 130 - 56
22S = 74
W = 74/22
W = 3.36in
hence the width of the photo is 3.36in
The world record for scuba diving is 318 meters below sea level. How would this look written as an integer?
A. 318 meters
B. -318 meters
C. 0 meters
D. +318 meters
Answers
Step-by-step explanation:
I believe it will be B. -318 meters
not entirely sure but that's what I think so hope this help and sorry if I'm wrong
two geometric figures that are proportional in size are ____ figures
Answers
A ratio that compares two quantities measured in different units is known as a ______________________.
Answers
Answer:
a rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.
State if each triangle is a right triangle: *
13 in
2 in
12 in
Answers
Answer:
It would be a obtuse triangle instead
Step-by-step explanation:
By using pythagorean and theorem (a^2 + b^2 = c^2)
So it would be 13^2___2^2 + 12^2
When you square them, you get 169___4 + 144
144 + 4 = 148, which is less than 169
SO it would be 169>148
So no, not a right triangle
Rosemary wants to buy a gift for her little brother this month, after she pays her bills. Should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.
Answers
Answer:
T-shirt
Step-by-step explanation:
T-shirt because she has to pay bills.
Hope this helps plz hit the crown ;D
A reflection changes the shape of a figure.
True
False
Answers
Answer:
False
Step-by-step explanation:
A reflection does not change the shape of a figure.
For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)
Subtract-2x2 - 4x from 2x2 – 2x - 5.
Answers
What is the diameter of 8 inches
Answers
Answer:
25.12 OR 16
Step-by-step explanation:
We can see that the diameter of the circle is 8 inches. Let's put this number into the formula. The circumference of a circle that has a diameter of 8 inches is 25.12 inches
2 times 8 = 16
Simplify (4i) (5i) - The “i” is the imaginary number for negative 1
Answers
Answer:
-20
Step-by-step explanation:
The simplified form of the given complex number (4i)(5i) is -20.
To simplify the expression (4i)(5i), we can use the properties of complex numbers.
The imaginary unit i is defined as the square root of -1. So, i² = -1.
Now let's simplify the given expression:
(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.
Since i² equals -1, we can substitute -1 for i²:
20i² = 20(-1)
Multiplying -1 by 20, we get:
20(-1) = -20
Therefore, the simplified form of (4i)(5i) is -20.
Learn more about the complex numbers here:
brainly.com/question/19007885
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All of the students in the sixth grade either purchased their lunch or brought their lunch from home on Thursday.
65% of students purchased their lunch
63 students brought their lunch from home
How many students are in the sixth grade?
O A 98
B. 106
O C. 180
D. 240
Answers
Select the correct answer.
Over which interval of the domain is function m negative?
Answers
Answer:
The interval of the domain over which the function m is negative
will be: (6, ∞)
Step-by-step explanation:
We have to determine the interval of the domain over which the function m is negative.
The x-intercept of the graph is:
at y = 0, x = 6
(0, 6) is the x-intercept.
From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.
Thus, the interval of the domain over which the function m is negative will be: (6, ∞)
Answer: (6,00)
Step-by-step explanation:
can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid
Answers
Answer:
D is the correct answer
Step-by-step explanation:
The coordinates of the x axis is always listed first.
On the x axis the line was less than one and more than zero leaving the fraction as the only option.
hope it helps
have a great day
:)
Mrs. Smith spent $67.40 on groceries. The tax rate is 2%. What is the amount of sales tax?
Answers
Answer:
68.75
Step-by-step explanation:
to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35
so the total for just tax is 1.35 so you add that to how much the groceries were originally
67.40+1.35=68.75
Martha compro 4kg de tomate y 2kg de frijol y pago con $130. Su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol. ¿Cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol
Answers
Answer:
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:
x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130
El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, en primer lugar despejas x de la segunda ecuación:
x= 85 -3*y
Reemplazando en la primer ecuación:
4*(85-3*y) +2*y=130
y resolviendo obtienes:
4*85 -4*3*y + 2*y=130
340 - 12*y + 2*y=130
-12*y + 2*y=130-340
-10*y=-210
y=(-210)÷(-10)
y=21
Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:
x=85 - 3*21
x=85 - 63
x=22
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol se debe realizar el siguiente cálculo:
4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Aprende más en https://brainly.com/question/22918730
Plz I need help on #12
Answers
Answer:
C its C
Step-by-step explanation:
Answer:
The answer is the fourth one
h ( t) = -10 + 6 h ( ) = -44
Answers
Answer:
-44
Step-by-step explanation:
code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution
Answers
Answer:
The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]
We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]
Now, we substitute our value for x into one of the original equations and solve for y.
[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]
Therefore, the solution to our system of equations is:
[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?
Answers
Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
u = ⟨2, –3⟩v = ⟨1, –1⟩[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
Next, find the lengths of the vectors:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
u = ⟨2, –3⟩
[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]
[tex]=\sqrt{13}[/tex]
u = ⟨2, –3⟩
[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]
[tex]=\sqrt{2}[/tex]
Finally, the angle is given by:
[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
The Answer is A. 11.3
Step-by-step explanation:
got it right. Also thats just the letter answer :)
96 =-8(p-5)
help pls
Answers
Answer:
p = −7
Step-by-step explanation:
96=−8(p−5)
96=(−8)(p)+(−8)(−5)(Distribute)
96=−8p+40
Step 2: Flip the equation.
−8p+40=96
Step 3: Subtract 40 from both sides.
−8p+40−40=96−40
−8p=56
Step 4: Divide both sides by -8.
−8p /−8 = 56 /−8
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Show Your Work
Answers
Answer:
131.25 miles.
Step-by-step explanation:
if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.
The actual distance between two cities is 131.25 miles.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The scale of a map,
1 inch = 25 miles,
Also, the distance between two cities on the map is 5.25 inches.
To find the actual distance in miles.
Use ratio method,
1 inches = 25 miles,
5.25 inches = 25 x 5.25 miles
= 131.25 miles
The actual distance between cities is 131.25 miles.
To learn more about Ratio on :
https://brainly.com/question/13419413
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Baylee received a 36% on her puppy test. How many tricks did she get right if there were a total of 25 questions?
Answers
why: 25 x .36
We need help and we don’t now what we are doing
Answers
Answer:
The second, third, and fifth one.
Step-by-step explanation:
Home this helps
Solve for x to the nearest tenth
Answers
Answer: are there choices?
Step-by-step explanation:
Step-by-step explanation:
sin 56 = 11/x
☓ = 11/ 5 Sin 56
= 13.3
In which number is the value of the digit two ten times the value of the digit 2 in 14,429
Answers
Answer:
In 14,429 the value of 2 is 20 because it's in the tens place. 10 * 20 = 200. 200 is your answer.
graph the inequality y is greater then or equal to 3x-1
WILL MARK BRANLIEST
(also ik that i could used the inequality sign but it won't let me type it into the question)
i just need to know the ordered pairs pls help
Answers
Answer:
Ok so its (0,-1),(0.333,0)
Step-by-step explanation:
Plz help I am getting timed
Answers
Answer:
4 hope this helps!
Step-by-step explanation:
Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)
Answers
Jada's house is 3 and 2/5 miles from the library. Solve the equation to determine how long it will take her to walk from her house to the library if she walks at a steady speed of 4 miles per hour.
Answers
Time = distance / speed
Time = 3 2/5 miles / 4 miles per hour
Time = 17/5 / 4
Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours
17/20 hours x 60 minutes per hour = 51 minutes.