The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.
What are rational and irrational numbers?If a number can be represented by a fraction, it is rational, otherwise, it is irrational.
The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.
More can be learned about rational numbers at https://brainly.com/question/10814303
An observation tower is 65m high. A support wire is attached to the tower 30m from the top. If the support wire and the ground form an angle of 56 degrees, what is the length of the support wire, to the nearest tenth?
The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.
The situation forms a right angle triangle.
Right angle triangleA right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.
The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.
Therefore,
sin 56° = opposite / hypotenuse
sin 56° = 35 / x
The hypotenuse is the length of the support wire.
Therefore,
x = 35 / 0.82903757255
x = 42.2195416164
x = 42.2 m
learn more on right angle here: https://brainly.com/question/9495022
If
a
1
=
8
a
1
=8 and
a
n
=
5
a
n
−
1
+
5
a
n
=5a
n−1
+5 then find the value of
a
5
a
5
.
Answer:
55a=
step-by-step explanation:
Answer:
-3125
Step-by-step explanation:
Got it right on delta
Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?
⚫️13 packs per year
⚫️8_1/2 packs per year
⚫️14 packs per year
⚫️12_1/2 packs per year
Mrs. Becker drives past the Route 50 drawbridge light every morning on the way to
work. Eight out of 10 times, the traffic light is red. There are only 25 days of school le
how many of those days should she expect to get stopped at that light?
Answer:
20 days
Step-by-step explanation:
1) [tex]\frac{8}{10}[/tex] must be written as a fraction where the denominator is 25 since there are 25 days of school.
[tex]\frac{8}{10} = \frac{x}{25}[/tex]
2) Cross multiply them.
[tex]10(x) = 25(8)[/tex]
[tex]10x = 200[/tex]
3) Solve for [tex]x[/tex].
[tex]x = \frac{200}{10}[/tex]
[tex]x = 20[/tex]
The midpoint of AB is M(6,2). If the coordinates of A are (4,8), what are
the coordinates of B?
★ Given that,
The midpoint of AB is M(6 , 2)The coordinates of A are (4 , 8)★ To calculate,
Coordinates of point B?So here we would be using the formula of calculating the midpoint of two points.
Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ We have :
x1 = 4 y1 = 8★ Putting the values :
Refer to the attachment.★ Therefore,
Coordinates of the point B is (8 , -4)Additional Information :★ Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]
You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams
The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
What is half-life?This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
R' = R/([tex]2^{T/t}[/tex])............. Equation 1Where:
R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-lifeFrom the question,
Given:
R = 8640T = 120 yearst = 30 yearsSubstitute these values into equation 1
R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: https://brainly.com/question/25750315
OMG PLEASE HELP ME THIS WHOEVER DOES YOUR THE BEST AND SMARTEST! I WILL TELL EVERYONE GOOOD THINGS ABT U PLEASE HELPME I NEE THESE NOW!! <3333
Step-by-step explanation:
12) a Wasabi
13) 1,000
14) x-6=2(y+4) . pls once again check with this as I find none of the option reasonable do ask ur teacher once but anyway nearest is that one
15) 6
QUESTION 3 I [12] A student must answer a multiple-choice question with five possible answers. He knows the correct answer with probability 0.55. If he does not know the correct answer, he randomly guesses one of the possible answers. a) Draw a tree diagram and clearly define all relevant events.
The probability that the student does not know the answer but he randomly guesses it is 0.146025
How to solve for the probability of having a correct guessThe question has only one right answer out of 5 choices.
Probability he answers incorrectly:
1 - 0.55 * 4/5
= 0.45 * 0.8
= 0.36
Probability he does not know answer but answers the question correctly
[tex]\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }[/tex]
= 0.09/0.55+0.09
= 0.140625
Read more on probability here: https://brainly.com/question/24756209
Will spent three days collecting cans and he managed to collect 2 pounds he collected blank of a pound each day
Monica buys a postage stamp the area of the stamp is more likely to be 1 square inch or 1 square meter? Explain
Answer:
HEyy
Step-by-step explanation:
its one square inch because if you think about it a little postage samp is very tiny
Help picture below problem 16
Answer:
5
Step-by-step explanation:
a²+b²=c²
In this case c is 13 and b is 12
a²+12²=13³
a²+144=169
Subtract 169 and 144 to find a
169-144=25
The square root of 25 is 5
how do you simplify (y+z)^3
Answer: y3+3y2z+3yz2+z3
Step-by-step explanation:
(y+z)3
=(y+z)*(y+z)*(y+z)
=(y+z)(y2+2yz+z2)
=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)
=y3+2y2z+yz2+y2z+2yz2+z3
=y3+3y2z+3yz2+z3
the ratio of the number of boys and girls in a class is 10:7 if there are 35 girls find the number of boys
Answer:
The solution to the question is in the attached image
Solve the equation.
y + 6 = –3y + 26
y = –8
y = –5
y = 5
y = 8
Answer:
y = 5
Step-by-step explanation:
y + 6 = –3y + 26
y + 3y + 6 = 26
4y + 6 = 26
4y = 26 - 6
4y = 20
y = 5
I hope this helps!
Find the slant height of the prism
a.10
b.5
c.7
d.3
Check the picture below.
There are 318 calories in six ounces of a certain ice cream. How many calories are there in one pound?
1 pound = 16 ounces
Answer:
795
Step-by-step explanation:
318 x 2 (to get 12 ounces)
636 + (1/2 x318) (to get 3 ounces)
636 + 159 (to get 16 ounce)
795
The number of calories in one pound is 848 calories.
Given that, there are 318 calories in six ounces of a certain ice cream.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of calories in 1 pound = 16 ounces
Here, 318:6::x:16
⇒ 6x=318×16
⇒ 6x=5088
⇒ x=5088/6
⇒ x=848
Therefore, the number of calories in one pound is 848 calories.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ2
How do you tell if a table shows y as a function of x?
like if i have a chart that looks like this:
x: 14 15 16 17 18
y: 100 80 110 100 90
Answer:
you have to find the common ratio between the y and the x, like what you have to multiply x by to get y
Step-by-step explanation:
like if your table is
x / y
-2. 6
-1. 3
0. 0
1. -3
2. -6
the ratio would be -3
can someone please help me with this math problem
Answer:
I think the correct answer is A
Answer:
A
Step-by-step explanation:
Plot the points on the coordinate plane in order to find out which one is the correct polygon.
In this case, A has all of the correct points and is therefore the correct answer.
Hope this helps!
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
4
−14
−4
−5
Answer:
Slope= 4
Step-by-step explanation:
y=mx+b
4x
4= slope
un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.
Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
https://brainly.com/question/19365526
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
PLEASE ANSWER! WILL GIVE BRAINLIEST
1. m∠5 = 75° (corresponding angles theorem)
2. 180°
3. m∠3 = 55° (triangle sum theorem).
4. A straight angle = 180°
5. m∠2 = 50° (angles on a straight line)
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.
1. m∠5 = m∠1 = 75° (corresponding angles are congruent)
2. Measure of the sum of all angles in a triangle = 180°
3. To find ∠3, we would have the following equation:
m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).
Substitute and solve
m∠3 = 180 - 50 - 75
m∠3 = 55°
4. A straight angle = 180°
5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)
Substitute and solve
m∠2 = 180 - 55 - 75
m∠2 = 50°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
HELP GIVING BRAINLIEST + STARS
Motion graphs! Oh yes, I remember those.
I will be using the example of a remote-control car.
For Section AB:
The car starts moving steadily in one direction.
For Section BC:
The car has stopped moving.
And finally, for section CD:
The car has turned around and returned to the starting point at a steady pace.
I hope this answers your question.
-Toremi
5) Which equation shows how to find the volume of the figure shows Al 5x 3 x 4 = 60 B) 5+ 3 * 4 = 32 0525 USA 2021
Answer:
The answer is the second option
Step-by-step explanation:
3. The area of a gym is 2,387 square feet. The area of the bathroom is 7
times less than the area of the gym. What is the area of the gym?
Answer:
795.6?
Step-by-step explanation:
The Area of Bathroom is 391.714 square feet.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Area of Gym = 2387 square feet.
Area of Bathroom is 7 times less than the area of the gym.
So, Area of Bathroom
7x = 2387 + 341
7x = 2728
x= 391.714
Learn more about area here:
https://brainly.com/question/27683633
#SPJ2
PLEASE
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
Step-by-step explanation:
m = (-5-0)/(1+4) = -5/5 = -1
b = (0, -4)
y = mx + b
y = -x - 4
BRAINLIEST please if this helps!what's the answer to this
HELP PLSS I NEED TO TURN IN RIGHT NOW!!!!
Mr. Foster wants to put a new carpet on the floor of his rectangular playroom. The playroom is 27 ft long and 18 ft wide. He has found an inexpensive carpet that is priced $14 per sq yd. What would be a reasonable price for enough carpet to cover the floor of his playroom?
Answer: $756
Step-by-step explanation:
convert feet to yards
1 yard = 3 feet
27 ft = 9 yards
18 ft = 6 yards
carpet represents area
area = length x width
area = 9 x 6
area = 54 yards^2
$14 for 54 yards^2 = 14 x 54
14 x 54 = 756
$756
A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?
Answer:
maybe they could be on opposite sides?
Step-by-step explanation:
PLSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
There are 8 possible spaces that the spinner can land on. Of those, the options are 0, 1, 2, or 3.
There is one space that has 0 in it = 1 / 8 = 0.125
There are two spaces that have 1 in them = 2 / 8 = 0.25
There is one space that has 2 in it = 1 / 8 = 0.125
There are four spaces that have 3 in them = 4 / 8 = 0.5
Hope this helps!
18.) A cylinder and a cone have the same radius and
the same volume. How do the heights compare?
Answer:
If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .
Step-by-step explanation: