What is the measure of each interior angle of Regular Polygon?
Answer:
A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
Step-by-step explanation:
140
∘
Each interior angle of regular polygon of n sides is given by
n
180(n−2)
degree
∴ each interior angle =
9
180(9−2)
degree
=20×7
=140
21 divided 4 equals 5 1/4 in a word problem
Answer:
5.25
alternate form
21/4,5/¼
Which of these choices is a solution to the equation (x + 4)(x - 3) = -10?
a) 4
b) 3
C) -2
d) -1
The solution of the given equation (x + 4)(x - 3) = -10 is -2.
Thus, option C is correct.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
Here, 4 and 12 are constants and x is variable
Given equation:
Multiply the brackets,
(x + 4)(x - 3) = -10
[tex]x^2-3x+4x-12 = -10[/tex]
x^2 +x -12+10 =0
x^2 +x -2=0
x(x+2)-1(x+2)=0
(x+2)(x-1)=0
x= -2, x=1
Thus, option C is correct.
Learn more about equations here :
https://brainly.com/question/14686792
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what are the solution to the system of equations graphed below?
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
Select all the expresions that represent the large retangle total area 5 b 3
Answer:B, C and D are all correct
Step-by-step explanation:
Because, A. 3 (5 + b)
B. 5 (b + 3)
C. 5b + 15
D. 15 + 5b
E. 3 ⋅ 5 + 3b
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
A x=-12
B X=-11
C x=14
D x=13
Answer:
x = 1.5
Step-by-step explanation:
8x + 8 - 3x - 12 = 14 - 7x
5x - 4 = 14 - 7x
-4 = 14 - 12x
-18 = -12x
x = 18/12 or 3/2
need help geometry question central angles and arcs pls???
Answer:
75°,
mUV = 105°, the other 2 are both 75°. This means mTU = 75°
Can you help me, please please!!!
Answer:
1.4/10=2/5
2.4/8=1/2
3.8/12=2/3
4.7/5=14/10
5.1/3=2/6
What is the inverse function
Answer:
it's simple just divide
Select all statements that are true about bases and heights in a parallelogram
Answer:
hi
Step-by-step explanation:
1. The area formulas for a triangle and a parallelogram require multiplying base by height.
true
2 .A triangle and parallelogram with the same base and height will have the same area.
false
3. A rectangle and parallelogram with the same base and height will have the same area.
true
4. The area formula of a trapezoid requires finding the product of the bases.
false
5. The base of a triangle is always the shortest side.
false
Answer:
12
Step-by-step explanation:
Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?
Answer: 452 students
25 x 18 = 450 + 2= 452
Answer:
C
Step-by-step explanation:
Correct on edge 2020
PLEASE HELP ILL GIVE BRAINLIEST!!
What is the volume of the solid, rounded to the nearest tenth? Use 3.14 for TT.
This is too many questions
122.7 cm
3434.4 cm3
858.6 cm
Answer:
Step-by-step explanation:
Radius r = 12.5/2 = 6.25 cm
Height h = 7 cm
volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm
Help pls and explain I need 10 mins left
Answer:
32
Step-by-step explanation:
Please help I need it
Answer:
A. Yeah
Step-by-step explanation:
Subtract the polynomials:
(1 Point)
f(x) = 10x4 + 2x² +1; 8 (x) = 3x4 + 3x + 11
O f (x) – 8(x) = 7x4 + 2x2 – 3x – 10
O f(x) – 8 (x) = 7x4 + 2x2 – 3x + 12
O f (x) – 8(x) = 7x4 + 2x2 + 3x + 12
O f(x) – 8(x) = 7x4 + 2x2 + 3x - 10
Answer: thats the answer
Step-by-step explanation:
Please help. Find the area of the following shape
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
Which of the following formulas shows how to calculate the ending balance of an account with a beginning balance of $600 that earns 3.5% compound interest over 8 years?
Answer:
[tex]A(t) = 600(1.035)^8[/tex]
The ending balance is of $790.1.
Step-by-step explanation:
Compound interest:
The amount of money earned after t years, in compound interest, is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
$600 that earns 3.5% compound interest over 8 years
This means, respectively, that:
[tex]A(0) = 600, r = 0.035, t = 8[/tex]
So, the formula is:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 600(1+0.035)^{8}[/tex]
[tex]A(t) = 600(1.035)^8[/tex]
Ending balance:
The ending balance is:
[tex]A(t) = 600(1.035)^8 = 790.1[/tex]
The ending balance is of $790.1.
Find the difference when
the product of 90 and 8 is
subtracted from 1260.
HELP PLEASE DUE IN 4 MINUTES
HELP WITH MATH!!!!!!!!
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4
32- 4 = 28 units sqr
Joyce determines that 30% of her monthly income goes for rent. If her monthly income is $2,009, about how much is her monthly rent? How much is her yearly rent?
Answer:
$ 602.7
Step-by-step explanation:
2009$ x 30% = 602.7
A cylindrical can of popped corn has a lateral surface area of 6760 T
cm? The height of the can is 40 cm. Using your formula chart, find the
correct formula and use it to find the radius.
F. 168 cm
H. 13 cm
G. 84.5 cm
J. 26 cm
9514 1404 393
Answer:
G. 84.5 cm
Step-by-step explanation:
Assuming the lateral area is 6760π cm², we can find the height from ...
A = 2πrh
r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm
The radius of the can is 84.5 cm.
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=50°, and WU = 27 feet. Find the length of VW to the nearest tenth of a foot. HELPPP
Answer:
32.2 feet
Step-by-step explanation:
Answer:
32.2
Step-by-step explanation:
The expression (y11)(y2)8 is equivalent to yx. What is the value of x?
How do you round 60.95 to the nearest whole number ? What will it become
Answer:
it would become 61
Step-by-step explanation:
the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.
A farmer recently purchased his
neighbor's farm. Before the purchase, the farmer owned a total of 365
acres of land. After the purchase, he
owned a total of 521
acres of land. Determine the percent increase in the number of acres of land owned by the farmer.
The number of acres of land owned by the farmer increased by about nothing
%. round to one decimal place as needed
thank you
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has
cooled to 200°F. Use a continuous exponential decay model to find the approximate decay
rate.
WILL MARK BRAINLIEST!! 20 POINTS!
Answer:
The decay rate is of 0.05 = 5% per minute.
Step-by-step explanation:
Continuous exponential decay model:
The exponential equation of decay for an amount, after t units of time, is given by:
[tex]A(t) = A(0)e^{-rt}[/tex]
In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.
A pizza is removed from the oven at a temperature of 425 F.
This means that [tex]A(0) = 425[/tex]
After 15 minutes, the pizza has cooled to 200°F.
This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]
We use this to find r.
[tex]A(t) = A(0)e^{-rt}[/tex]
[tex]200 = 425e^{-15r}[/tex]
[tex]e^{-15r} = \frac{200}{425}[/tex]
[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]
[tex]-15r = \ln{\frac{200}{425}}[/tex]
[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]
[tex]r = 0.05[/tex]
The decay rate is of 0.05 = 5% per minute.
Need help to answer this problem
Answer:
Step-by-step explanation:
9.1 h + 11.6 t = 9.98(60)
9.1 h + 11.6 t = 598.8 ........ (1)
h + t = 60 ........ (2)
h = 60 - t
9.1(60 - t) + 11.6 t = 598.8
546 - 9.1 t + 11.6 t = 598.8
2.5 t = 52.8
t = 52.8 ÷ 2.5 = 21.12 ≈ 21 (lb.)
h = 60 - 21.12 = 38.88 ≈ 39 (lb.)
Write the quadratic equation whose roots are -3 and 4 and whose leading coefficient is 4
Answer:
[tex]4x^2 -4x - 48 = 0[/tex]
Step-by-step explanation:
Given
[tex]x= -3 \ or\ 4[/tex] -- roots
[tex]n= 4[/tex] --- leading coefficient
Required
Calculate the quadratic equation
[tex]x= -3 \ or\ 4[/tex]
Split to 2:
[tex]x = -3\ or\ x = 4[/tex]
Equate both to 0
[tex]x +3 = 0\ or\ x - 4= 0[/tex]
Multiply both together:
[tex](x + 3) * (x - 4) = 0 * 0[/tex]
[tex](x + 3) * (x - 4) = 0[/tex]
[tex]x^2 -4x +3x - 12 = 0[/tex]
[tex]x^2 -x - 12 = 0[/tex]
Multiply both sides by the leading coefficient, n
[tex]n * [x^2 -x - 12] = 0 * n[/tex]
[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]
[tex]4 * [x^2 -x - 12] = 0[/tex]
Open brackets
[tex]4x^2 -4x - 48 = 0[/tex]
What type of things should a 6th-7th grader be learning?
Math,social studies,science, etc