Answer:
there are three outcomes
Step-by-step explanation:
three colours= three outcomes
don't have a diagram
In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?
Answer:
Angle A = 47⁰
Step-by-step explanation:
Angle A = Angle B { equal sides have equal angles. }
so,
4x + 7 = 5x - 3
7 + 3 = 5x - 4x
10 = x
so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰
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:
The area of an isosoles trapezoid is 45cm squared, and it's height is 5cm. Find the perimeter if the length of a leg is 2/3 of the sum of the bases.
Answer:
Perimeter = 42 cm.
Step-by-step explanation:
The 2 legs are equal in length as it is an isosceles trapezoid.
Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.
So
(5/2) (a + b) = 45
a + b = 45 * 2/5 = 18 cm.
We are given that the length of a leg (L) is 2/3 * sum of the bases, so:
L = 2/3(a + b)
= 2/3 * 18
= 12 cm.
The perimeter = a + b + 2L
= 18 * 2*12
= 42 cm.
Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
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
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.
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Un numero disminuido en 18 es igual a uno. Cual es el nume
Answer:
19
Step-by-step explanation:
18 + 1 = 19
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]
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
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Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number
Answer:
The whole number : 3
Fraction : 2/8
I'm pretty sure this is correct
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:
evaluate the equation: F( 2 ) =
Answer:
3
Step-by-step explanation:
it's basically asking what is the y value that corresponded to x = 2
that value is 3.
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
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
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Evaluate −6a^3+8a^2+8a+1, when a=5.
Answer:
-509
Step-by-step explanation:
1. Subsitute 5 for a in the expression. -6(5)^3+8(5)^2+8(5)+1
2. -6(125)+8(25)+40+1
3. -750+200+41
4. -509
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!
PLEQSE HELP ME WITH THIS!!
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
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.
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what is the solution to 2x + 5 = 6x – 5? Show your work.
Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?
Answer:
(a) Since the upper limit of the 99% confidence interval is less than
Step-by-step explanation:
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.
Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Thus,
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
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Someone please help me with this
Answer:
A
Step-by-step explanation:
writting only because answer need 20 words
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
IM STUCK CAN SOMEBODY SOLVE EQUATION
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
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!
Can someone please answer this for me i will mark you the brainliest
A cylinder has a radius of 6 m and a height of 11 m
what is the approximate area of the cylinder
A: 527.5 m2
B: 640.6 m2
C: 414.5 m2
D: 1243.4 m2.
Answer:
B!
Step-by-step explanation:
2 times pie times 6 times 6 plus 11 equals 640.9
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
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:
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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
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