Answer:
2π/3 radians is equal to 120°.
Step-by-step explanation:
In this problem, we need to convert the angle 2π/3 radians to degrees.
The relation radian and degree is given by :
[tex]D=\dfrac{180}{\pi}\times R[/tex]
Substitute all the values,
[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]
So, 2π/3 radians is equal to 120°.
1.Write the expression in expanded form. The subscript number can be write in
normal form. E.g. X1 + X1Y1, do not forget the correct parenthesis and the correct
order. *
2.For the equation in above evaluate the notation using the values below. Please
enter the exact value.
X1 =0
Y1 = 5
Z1 = 0
X2 = 1
Y2 = 26
Z2 = -2
X3 = 12
Y3 = -2
Z3 = 3
X4 = -1
Y4 = 25
Z4 = 24
Answer:
(a) Expanded form:
[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]
(b) The value of the expression: -21
Step-by-step explanation:
Given
[tex]\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)[/tex]
Solving (a): The expanded form:
This means that we substitute the values of i from 1 to 4 in the above expression.
So, the expression becomes:
[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]
Solving (b): The value of the expression
To do this, we simply substitute the given values of X1, X2....... in the expression.
This gives:
So, the expression becomes:
[tex]((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)[/tex]
Simplify each bracket
[tex]((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)[/tex]
[tex]0 + 29 -48 -2[/tex]
[tex]-21[/tex]
Hence, the result of the expression is -21
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. That the start of the assignment, students are randomly assigned a font, either times new Roman or comic sans, and then complete the assignment the teachers grade the assignment and the mean grade for each font is found.
What is the response variable in this experiment?
A the font used by each h student
B, the teachers grading the responses
C the grade received on each assignment
D the length of the student response on the assignment
Answer:
C.
Step-by-step explanation:
The response variable can be defined as those variables that are considered to be the focus of a question in research or experiment. It is also known as a dependent variable and is marked on the y-axis. The response variable is explained with the help of an explanatory variable, marked on the x-axis. The other names for response variables are y-variables or outcome variables.
In the given case, the response variable is the grade received on each assignment. The grades received by students on each assignment are the main focus of this research.
Therefore, option C is correct.
Plzz help will mark brainleast
The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.
with the formula plsssss
• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.
To calculate :• Length of the third side.
Calculation :Let the third side be c.
Also, two equal sides be a and b.
According to the question,
[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm
[tex] \longmapsto [/tex] a = ( c - 2 ) cm
Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.
[tex] \longmapsto [/tex] b = ( c - 2 ) cm
Now, we know that :
★ Perimeter of ∆ = Sum of all sides
Perimeter = 35 cm.[tex] \longmapsto [/tex] 35 = a + b + c
[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c
[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c
[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2
[tex] \longmapsto [/tex] 35 = 3c - 4
[tex] \longmapsto [/tex] 35 + 4 = 3c
[tex] \longmapsto [/tex] 39 = 3c
[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c
[tex] \longmapsto [/tex] 13 = c
So, third side of the triangle is 13 cm.
Solve each equation 24 = 5k - 8k
Answer:
k = -8
Step-by-step explanation:
24 = 5k - 8k
24 = -3k
k = 24/(-3)
k = -8
Answer:
k = -8
Step-by-step explanation:
Solve for k
First we re arrange our equation so that it look simple to calculate.
24=5k-8k
5k-8k = 24
-3k = 24
Divide -3 both side to get the value of k
k = -8
To prove substitute k into formula:
5k-8k = 24
5 (-8) - 8 (-8) = 24
-40 + 64 = 24
24 = 24
Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.
How much did Shawn give the cashier to pay for his purchase?
Answer: Shawn payed the cashier $15.25
Step-by-step explanation:
Use the graph. How does the diagram show that the slope between any two points on a line is the same? A. It does not show this because the triangles are not the same size. B. The triangles have the same vertical heights and horizontal lengths. C. The distance between A and B is the same as the distance between B and C. D. The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.
Answer:
the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.
Step-by-step explanation:
The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent. Therefore, option D is the correct answer.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
We know that, slope = Rise/Run.
Here, slope of a line AB = 3/6
= 1/2
Now, slope of a line BC = 2/4
= 1/2
Therefore, option D is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ3
P+p+p/2+p/4+1=100
Polinomios
Answer:
=
3
6
Step-by-step explanation:
+
+
2
+
4
+
1
=
1
0
0
{\color{#c92786}{p}}+{\color{#c92786}{p}}+\frac{p}{2}+\frac{p}{4}+1=100
p+p+2p+4p+1=100
2
+
2
+
4
+
1
=
1
0
0. 2
+
2
+
4
+
1
=
1
0
0
2p+\frac{p}{2}+\frac{p}{4}+1=100
2p+2p+4p+1=100
2
+
2
+
4
+
1
−
1
=
1
0
0
−
1. Subtract the numbers
Subtract the numbers
2
+
2
+
4
=
9
=
3
6
.
Lauren bought 20 oz of sliced ham. She used 3/4 of the ham to make sandwiches for her friends. She used 1/5 of the ham in an omelet. How many ounces of ham were left?
Answer:
19 oz
Step-by-step explanation:
Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.
Hope this helped!
A color printer prints 8 pages in 5 minutes.
How many minutes does it take per page?
Answer:
It takes 5/8 minutes or 0.625 minutes to print per page.
Step-by-step explanation:
The find the singular unit value of how long it would take per page you simply divide the amount that you are trying to figure out by the total amount of time you are taking and in this case it would be 5 divided by 8 in order to solve for the amount of minutes it takes per page.
A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 2 inches. How much wax will the company need to make 270 candles?
Use 3.14 for pie and do not round your answer.
Answer:
[tex] 15,260.4 \: {in}^{3} [/tex]
Step-by-step explanation:
Radius of candle = 3 inches
Height of candle = 2 inches
Wax needed to make one candle = Volume of one cylindrical candle
[tex] =\pi r^2 h[/tex]
[tex] =3.14(3)^2 (2)[/tex]
[tex] =56.52\: in^3 [/tex]
Volume of wax needed to make 270 candles
[tex] = 270 \times wax\: needed \: to\:make \: one \: candle \\ \\ = 270 \times 56.52 \\ \\ = 15,260.4 \: {in}^{3} [/tex]
Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?
Answer:
The final balance is $5,389.
The total compound interest is $389.
Step-by-step explanation:
How many favorable outcomes will there be for spinning the same color twice?
Answer:
3 favorable outcomes
There are three paths that end up with spinning the same color twice
Answer:
should be 3
Step-by-step explanation:
HELP I BEG
Solve the linear equation and explain why it’s either one solution, infinite solution or no solution
2(4+2.5x)+7 = -3(x-5)
Answer:
infinite solution , b/c when i graphed it , it showed a line that went on & on
Step-by-step explanation:
2(4+2.5x)+7 = -3(x-5)
8+5x+7=-3x+15
15+5x=-3x+15
2x=0
A number between 0 and 1, expressed as one number over another, is called a
Answer:
its called a frcaction
Step-by-step explanation:
Alex's pig weighs under 220 pounds.
Let p = the weight of the pig
Answer:
p > 220
Explanation:
This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.
Good luck ^^
5 Bill's trail mix has 6 cups of walnuts
and 10 cups of cranberries. Using
the same recipe, how many cups
of walnuts go with 15 cups of
cranberries?
Answer:
Umm, I will do my best to comment on this. I feel so bad for all the people that I hit answer and I don´t know it. =( !
Answer:
25.5
Step-by-step explanation:
10÷6=1.7
1.7x15=25.5
A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08
Answer:
48(c)
Step-by-step explanation:
4.8=48 as move 10 will change 4.8 as 48Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?
Answer:
84 people
Step-by-step explanation:
The square of a number, x, is 16 less than eight times the number. What is the number?
Answer:
4
Step-by-step explanation:
x² = 8x - 16
x² - 8x + 16 = 0
(x - 4)² = 0
x = 4
After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?
Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if you do plz help
Answer:
96cm^2
Step-by-step explanation:
We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2
We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2
We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2
BRAINLIEST AND ACED+ PLEASE HELP ME :c
Answer:
1 1/2 x 4 1/2 x 5 = 33 3/4
Plz help if correct ill give Brainlyest
Answer:
x=21
Step-by-step explanation:
x=(16.8 * 2.5) /2=21
Kianna's aquarium is "box-shaped" with dimensions of 5 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons? Consider that 1 ft3 of liquid corresponds to 7.5 gallons of the liquid.
Answer:
volume of aquarium =l×b×h=5×1×8=40ft³
volume of aquarium in gallons=
40ft³×7.5gallons/ft³=300galloons
Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3
HELPP
Answer:
-1.5, -(-2), 2.5, 8/3
Step-by-step explanation:
pretty sure this is right
2.) What is another way to write 700,562? Select all the ways to write this number, A) (7 +100,000) + (5+ 1,000) + (6 +10) + (2 +1) B) seven hundred thousand, five hundred sixty-two C) 700,000 +500 + 60 + 2 D) 7 hundred thousands +5 hundreds +62 tens. E) 7 hundred thousands +5 thousands + 6 tens + 2 ones
Answer:
b,c
Step-by-step explanation:
b is written in the written form properly and is is extended using the right place values
Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???
Answer:
442
Step-by-step explanation:
624-183= 442 he needs to drive 442 miles more
*10 POINTS *
find the value of x
x = ___??
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
You can create a proportion with the sides and solve for x:
[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]
[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]
[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]
[tex]-20x+50=90[/tex]
[tex]-20x=40[/tex]
[tex]x=-2[/tex]
Please please help no scams please
Answer:
between 6 and 7
Step-by-step explanation:
√39 = 6.244... which is between 6 and 7
also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.