Answer:
width is 2√33 cm
Step-by-step explanation:
you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.
use Pythagorean Th.
14² = 8² + x²
x² = 14² -8²
x² = 132
x = √132 = 2√33
If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?
(Note, the picture below is not drawn to scale, don't hold a protractor up to your screen)
Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The AJC found 60% favored voting on paper ballots they filled themselves (as opposed to voting with a computer). Find a confidence interval for the proportion of all registered voters that favor at 85% confidence level. a) (0.576, 0.624) b) (0.376, 0.424) c) (0.583, 0.617) d) (0.586, 0.614)
Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence [tex]z_\frac{\alpha }{2} =1.44[/tex]
The margin of error (E) is:
[tex]E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024[/tex]
The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd
Answer:
d. 84 yd
Step-by-step explanation:
[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]
I need to find X and Y
Can someone pls help me
√2,√5,√9,√15 order from least to greatest
4+1=5,5+2=12,6+3=21,8+11?
Hello~
4+1=5
5+2=12
6+3=21
8+11 =
The First one is correct!
Ary~
which statement is not guaranteed to be true
Answer:
Diagonal AC is NOT perpendicular to diagonal BD
Step-by-step explanation:
On a sheet of paper draw a Regular Hexagon with a Radius equal to 6 units.
Answer:
Show me the options
Step-by-step explanation:
what is the value of x,if x=3²
Answer:
x=9
Step-by-step explanation:
x = 3^2
x = 3*3
x=9
Find the distance between X and Y.
2730
A.
В.
C.
D.
-11
10
11
12
Please select the best answer from the choices provided
Ο Α
OB
О С
OD
Answer:
11 is the correct answer
Step-by-step explanation:
21-10
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
What is the radius of a circle with a circumference of 26 meters?
Answer: 4.14 m.
Step-by-step explanation:
Determine whether each expression is equivalent to 81^0.5t+0.25
Answer
27^0.5+0.25 or 3^0.5+0.25
3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 81^0.5t+0.25
Simplifying the given expression:
=> 81^0.5t+0.25
Simplify using the exponent power rule: (a^m)^n = (a)^mn
Convert decimal to fraction:
=> (3⁴ )^0.5t + 25/100
Cross out the common factor:
=> 3^2t + 1/4
therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
Learn more about expression here:
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please help ASAP
ITS 14 points
Answer:
area= 62.88
Step-by-step explanation:
to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.
now find the area of the whole circle and divide it in half.
A= pi * r^2 / 2
A= 3.14 * 4^2 /2
A= 3.14 * 16 / 2
A= 25.12
Now take the area of the semi-circle and subtract it from the whole figure.
88-25.12=62.88
Ashley goes to the fair. She is charged $15.00 for admission plus $0.50 for each ride ticket. Ashley has $24.00 to spend at the fair. Write and solve an inequality to represent this situation. Explain what the solution to the inequality means in this situation.
Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
What is the least common denominator of the equation 2/9x + 2/3x =7 ?
Answer:
that would be 9 as the least common denominator
Step-by-step explanation:
c= feet? help me please
I need help please!!:)
Answer:
No bcuz its not on the line
Step-by-step explanation:
Mario vende dos autos a 30 000 dólares cada uno. En la venta de uno ganó el 20% y en la
venta del otro auto, perdió el 20%.
a. ¿Cómo le fue a Mario con este negocio? ¿Ganó, perdió o ni ganó ni perdió?
b. Si tu respuesta a la pregunta anterior es que Mario ganó dinero (o perdió dinero),
¿Cuánto dinero ganó (o perdió)?
Answer:
Mario perdió dinero, perdió 2500 dólares
Step-by-step explanation:
En el primer caso, Mario está vendiendo su carro en 30 000 dólares. En otras palabras, el precio de venta es 30 000. Te dice que en el primer carro ganó 20%, o sea que su precio de venta es una incógnita que llamaremos x y gano 20% de x. Podemos expresarlo de esta manera
x = precio de compra carro 1
x + (20% de x) = 30 000
x = 100 % de x
(100% de x) + (20% de x) = 30 000
120% de x =30 000
120% = 1.2
1.2x = 30 000
x = 25 000
El segundo caso es bastante parecido. Te indica que el precio de venta sigue siendo el mismo, pero el precio de compra es diferente. El precio de venta sigue siendo 30 000, pero el precio de compra del segundo carro esta vez será "y". En este caso, pierde 20% del precio de compra, o osea, pierde 20% de y. Se puede expresar de la siguiente manera:
y = precio de compra carro 2
y - (20% de y) = 30 000
y = 100% de y
(100% de y) - (20% de y) = 30 000
80% de y = 30 000
80% = 0.8
0.8y = 30 000
y= 37 500
Entonces tenemos que el precio de compra del carro uno es 25 000 dólares y el precio de compra del carro dos es de 37 500. Si sumamos ambas cantidades, tenemos que ambos carros costaron 62 500 dólares. Como vendió esos dos autos a 30 000 dólares cada uno, recibió 60 000 dólares. El precio por el que vendió los autos (60 000) es menor al precio del que los compro (62 500), por lo que eso representa una perdida.
Para hallar la cantidad que ganó o perdió (en este caso perdió) debes restar el precio de venta menos el precio de compra.
60 000 - 62 500 = -2 500
Como es un número negativo, representa una perdida.
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
If f (x) = 6x – 5,
find x for f (x = 13
Step-by-step explanation:
f(x)=136x-5=136x=13+5x=18/6x=3hope it helps stay safe healthy and happy....Answer:
Solution :-here,
f (x)= 13
or, 6x-5= 13
or, 6x =13+5
or, 6x = 18
or, x = 18/6
or, x = 3
hope it is helpful to you
nadia made a model of the garage each edge of the real garbage is 4 times the length of the edge of the model which statement about volumes is true?
Write the standard equation of each circle below
1. {26, 21, 28, 31, 9, 28, 16, 18, 21, 23, 29, 24, 19, 22, 25, 28}
Find the mean.
Answer:
368 / 16 = 23
Step-by-step explanation:
Add them all, then divide by how many numbers are in the data set.
Answer:
The above person's answer is correct sorry for the wrong data.
Solve the system of equations by using substitution.
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
[tex]y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3[/tex]
[tex]x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1[/tex]
A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you do not select a basketball?
Answer:
18/1
Step-by-step explanation:
I took all of the numbers and added them the subtracted 1 because you don't wanna include the basketball
The probability of not selecting a basketball from the bag is 18/19, or approximately 0.9474 (rounded to four decimal places).
Here, we have,
To find the probability of not selecting a basketball from the bag, we need to calculate the ratio of the number of items that are not basketballs to the total number of items in the bag.
Let's calculate it step by step:
Total number of items in the bag = 8 (tennis balls) + 2 (volleyballs) + 1 (basketball) + 3 (baseballs) + 5 (footballs) = 19.
Number of items that are not basketballs = 8 (tennis balls) + 2 (volleyballs) + 3 (baseballs) + 5 (footballs) = 18.
Therefore, the probability of not selecting a basketball is:
Number of items that are not basketballs / Total number of items in the bag = 18 / 19.
Hence, the probability of not selecting a basketball from the bag is 18/19, or approximately 0.9474 (rounded to four decimal places).
To learn more on probability click:
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Niveen makes muffins and sells them for $0.65 each. To make 12 muffins, she must spend $5.25 on muffin mix, $0.75 on vegetable oil, and $0.87 on eggs. The smallest batch of muffins Niveen can make is 12 muffins.
what would result in Niveen earning a profit?
Answer:
selling 36 muffins at a discount rate of 10% off the original price
Step-by-step explanation:
What is the best name for Quadrilateral ABCD given the points A(−3,3), B(1,7), C(4,4), and D(0,0)?
A. Rhombus
B. Square
C. Rectangle
D. Parallelogram
Answer:
Rectangle
Step-by-step explanation:
First, we gotta graph it!
It's down below.
Now, what shape is that?
It's a rectangle!
The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!
Answer:
[tex]6.28\:\mathrm{in}[/tex]
Step-by-step explanation:
The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.
Therefore, we have:
[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]
Answer:
6.28in or 6.3in
Step-by-step explanation:
All I did was multiply pie by diameter or multiply it by its radius, which is 1.
C = 2(3.14)(1)
= 6.28
or
C = (3.14)(2)
= 6.28
Laura has a 12-foot ladder. The safety instructions recommend the base of the ladder be placed 4 feet from the base of the wall. How high will the ladder be able to reach on the wall? BRAINLIEST FOR CORRECT ANSWER!!!!
Answer:
3
Step-by-step explanation:
12÷4=3
Have a good day:)