Answer:
8) interior angle = 160
9) x = 20
Step-by-step explanation:
8)
18-gon has 18 sides
The formula for sum of interior angles for an 18-gon is:
(18x180)-360 = 2880 degrees
2880 degrees / 18 angles = 160 degrees
9)
exterior angles = 360 degrees
360 = (3x-2)+(x+8)+(4x+9)+(2x-1)+(3x)+(4x+6)
360 = 3x-2+x+8+4x+9+2x-1+3x+4x+6
360 = 17x+20
17x = 340
x = 20 degrees
If entering your answer as a decimal, round your final answer to the nearest hundredth.
Find the perimeter of rectangle LINT.
Answer:
[tex]P = 22.75[/tex]
Step-by-step explanation:
Given:
See attachment for rectangle LINT
Required
Calculate its perimeter
From the attachment:
Considering triangle LYT, we apply Pythagoras theorem.
[tex]LT^2 = LY^2 + TY^2[/tex]
Where:
[tex]LY = 5.2[/tex]
[tex]TY = 3.9[/tex]
The formula becomes:
[tex]LT^2 = 5.2^2 + 3.9^2[/tex]
[tex]LT^2 = 42.25[/tex]
Take positive square root of both sides
[tex]LT = \sqrt{42.25[/tex]
[tex]LT = 6.5[/tex]
Next, we calculate the length of NT.
By comparing triangles LYT and NYT
We make use of the following equivalent ratios to solve for NT
[tex]NT:TY = LT:LY[/tex]
[tex]NT : 3.9 = 6.5 : 5.2[/tex]
Convert to fractions
[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]
Make NT, the subject:
[tex]NT = \frac{6.5}{5.2}*3.9[/tex]
[tex]NT = \frac{6.5*3.9}{5.2}[/tex]
[tex]NT = \frac{25.35}{5.2}[/tex]
[tex]NT = 4.875[/tex]
The perimeter (P) is then calculated as:
[tex]P = NT + LT + LI + NI[/tex]
Where
[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.
So:
[tex]P = NT + NT + LT + LT[/tex]
[tex]P = 2NT + 2LT[/tex]
Substitute values for NT and LT
[tex]P = 2*4.875 + 2*6.5[/tex]
[tex]P = 9.75 + 13.0[/tex]
[tex]P = 22.75[/tex]
Hence, the perimeter is 22.75 units
Pls help pls pls pls
Answer: A don't get confused by b
Step-by-step explanation:
What angles measure 70 degrees?
< EFC
< EFB
< EFA
< EFD
What is 2/3 as a decimal please show steps on how you got there
Answer:
2/3 as a decimal is 0.67 rounded otherwise it is 0.6 recurring
Step-by-step explanation:
Many calculators round the digit up so they dont repeat forever.
Just divide 2 / 3 and that makes 0.6 recurring
13
Aisha had both chocolate cake and coconut cake at her birthday party. There were 50 people
at the party, and 90% of them picked chocolate cake. How many people picked chocolate
cake? *
(1 Point)
45
35
0 25
40
Answer:
45
Step-by-step explanation:
90% of them picked chocolate cake
then
90% * 50 ( total number of people in the party ) = 45
please help me!!!!! I don't know how to do this
Answer:
1. y = 0
2. x = -5
3. x = 10
4. y = -12
3 (2x+8) = 60 x=____
Answer:
x=4/9
Step-by-step explanation:
3(2x+8)=60x
6x+24=60x
6x+24-24=60x-24 -60x
-54x=-24
-54x= -24
x= 4/9
1 The length of a rectangle is 10 inches, and the
width is represented by 3x. Which best
represents an equation and solution for x if the
area of the rectangle is 40 square inches?
A 10(3x) = 40; X = 4
B 30x = 40; x = 1;
C 3x = 40; x = 13
D 3x + 10 = 40; X = 10
Answer:
A
Step-by-step explanation:
To find the area of a rectangle, it is length times width (10*3x), and if it equals 40, you could just write that after the equation, and then find out that "x" would equal [tex]\frac{4}{3}[/tex]
Answer:
30x = 40 ; x ≈ 1
Step-by-step explanation:
[tex]A^{}[/tex] = [tex]l^{}[/tex] [tex]w^{}[/tex]
[tex]l^{}[/tex] = 10 inch.
[tex]w^{}[/tex] = 3x
10(3x) = 40
30x = 40 ; x = [tex]1\frac{1}{3}[/tex] ≈ 1
lena purchased a prepaid phone card for $20. long distance call cost 18 cents a minute using this card. Lena used her cared only once to make a libg distance call. if the remaining credit on her card is $13.34, how many minutes did her call last?
Answer:
37 minutes
Step-by-step explanation:
We start by finding the difference between the original amount and what is left
Mathematically, that will be;
20-13.34 = 6.66
To
cents that will be 6.66 * 100 = 666 cents
We now divide by the amount per minute
The amount per minute is 18 cents
Thus, the number of minutes will
be 666/18 = 37
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Answer:
1437.33
Step-by-step explanation:
Which equation yields the solutions x=−2 and x=−10?
Options:
A. −x2−2x+35=0
B. 5x2+40x+60=0
C. −4x2+24x−20=0
D. x2+12x+20=0
Answer: its not B
sorry it only let me choose once ttm2021
Bryan bought a canvas for an art project. The canvas has 2 pairs of parallel sides and 4 right angles.The sides are not all of equal length. Which shape is the canvas?
Given:
The canvas has 2 pairs of parallel sides and 4 right angles.
The sides are not all of equal length.
To find:
The shape of the canvas.
Solution:
Rectangle: A rectangle is a quadrilateral whose opposite sides are parallel and equal. All the interior angles of a rectangle are right angles.
Note: All sides of a rectangle are not equal. If they are equal then it is known as square.
It is given that the canvas has 2 pairs of parallel sides and 4 right angles. The sides are not all of equal length.
Therefore, the shape of the canvas is a rectangle.
Michael has 38 nickels and quarters in his backpack. If he has a total of $4.50. how many nickels, n, and how many quarters, q, does he have?
Answer Michael has
nickels and
quarters
Answer:
10 quarters and 2 nickels
Step-by-step explanation:
38 x .5 = 1.90
4.50 - 1.90 = 2.60
10 quarters and 2 nickels.
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.
What is the relationship between the volume of the rectangular pyramid and the rectangular prism?
A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.
B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.
C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.
D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
Answer:
D
Step-by-step explanation:
I took the test.
Answer:
d
Step-by-step explanation:
i dont know
39 divided ( 2+ 1 ) - 2 x (4 +1 )
Answer: -39/7 or -5.57
Step-by-step explanation:
To do math operations, we should follow the PEDMAS
ParenthesisExponentsDivisionMultiplicationAdditionSubtraction----------------------------------------------------------------------
Given
39/[(2+1)-2×(4+1)]
Simplify numbers in parenthesis
39/(3-2×5)
Do multiplication in parenthesis
39/(3-10)
Do subtraction in parenthesis
39/-7
Do division
-39/7 or -5.57
Hope this helps!! :)
Please let me know if you have any questions
The result of the division of 39 divided ( 2+ 1 ) - 2 x (4 +1 ) is: -39/7 or -5.57
We know that,
To do math operations, we should follow the PEDMAS
Parenthesis
Exponents
Division
Multiplication
Addition
Subtraction
Here, we have,
Given
39/[(2+1)-2×(4+1)]
Simplify numbers in parenthesis
39/(3-2×5)
Do multiplication in parenthesis
39/(3-10)
Do subtraction in parenthesis
39/-7
Do division
-39/7 or -5.57
To learn more on division click:
brainly.com/question/21416852
#SPJ6
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.
What is the amount paid to an employee that works 666 hours and sells 333 wagons?
\$
Answer:
x=36° (180/5x because 2x+3x)
Step-by-step explanation:
Answer:
162
=12h+30w
=12(6)+30(3)
=72+90
=162
HELP ASAP
Create a List, Table or tree
Please help! Suppose f(x) = x - 4. Find the graph of
3/4 f(x).
Click on the correct answer.
graph 1
graph 2.
Answer:
Graph 1 because if you just do the Y coordinate its much easier.
Answer:
graph 1
Step-by-step explanation:
the answer is graph 1
Find the sum of 0.5 and -0.5.
Amswer
The answer is 0
=
<
2 of 4
Next >
natalie
Updare
Toncher
Student
You are buying cookies. Each cookies costs $3.
The following function represents the total cost after
buying x cookies.
f(x) = 3x
Complete the table below.
<
o4
Number of Cookies
Total Cost (Dollars)
0
1
2
I
3
4
5
Graph the function.
Answer:
0---0
1----3
2---6
3----9
4----12
5----15
Step-by-step explanation:
After a price increase of 20% the cost of entry to a museum rose to $25.80.
Find the original price.
-------------------------------------------- Please help and explain how to do this equation. Tia
Answer:
$20.64
Step-by-step explanation:
0.20x25.80=5.16
25.80-5.16=20.64
The original price to get entry to a museum is $20.64 .
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let call 'a' be the original price.
if it rose of 20 % , it's mean that it will multiplicate by 0.20
0.20 x 25.80=5.16
a = 25.80 - 5.16=20.64
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
is the function a^x increasing or decreasing?
is the function for a^-x increasing or decreasing?
Anyone please help asap for these both questions. thank you
Answer:
The function a^x is increasing, while a^-x is decreasing.
Step-by-step explanation:
The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.
I hope I helped:)
I would appreciate Brainliest ;)
The slope of the line that passes through the points
(3, 14) and (7, 9) is
ASAP
Answer:
[tex]\boxed {\boxed {\sf m= - \frac{5}{4} }}[/tex]
Step-by-step explanation:
The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The line passes through (3,14) and (7,9). Therefore,
[tex]x_1=3 \\y_1=14 \\x_2=7 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m= \frac{9-14}{7-3}[/tex]
Solve the numerator.
[tex]m=\frac{-5}{7-3}[/tex]
Solve the denominator.
[tex]m= \frac{-5}{4}[/tex]
This fraction is reduced, so it is the answer.
The slope is equal to -5/4
One Euro (€) is equivalent to $1.10. A souvenir costing €15 would cost how much in dollars?
Answer:
is 16.5 an answer
Step-by-step explanation:
You would do 1.10 x 15 or just add 1.10 15 times
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
A mechanic has sockets with sizes shown below. Write each fraction in the correct box.
Missing Details:
Write each fraction in the correct box.
1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Less than: 1/2inch,
Equal to: 1/2inch
Greater than: 1/2inch
Answer:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
Step-by-step explanation:
Given
Sizes: 1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Required
Match the size with the correct inequalities
Convert 1/2in to decimal
[tex]\frac{1}{2}\ in = 0.5\ in[/tex]
Next, we convert each size to decimal and compare the decimal equivalent to 0.5in
Convert 1/8in to decimal
[tex]\frac{1}{8}\ in = 0.125\ in[/tex]
0.125 is less than 0.5in
Convert 5/8in to decimal
[tex]\frac{5}{8}\ in = 0.625\ in[/tex]
0.625 is greater than 0.5in
Convert 8/16in to decimal
[tex]\frac{8}{16}\ in = 0.5\ in[/tex]
0.5 is equal to 0.5in
Convert 9/16in to decimal
[tex]\frac{9}{16}\ in = 0.5625\ in[/tex]
0.5625 is greater than 0.5in
Convert 15/16in to decimal
[tex]\frac{15}{16}\ in = 0.9375\ in[/tex]
0.9375 is greater than 0.5in
Convert 5/6in to decimal
[tex]\frac{5}{6}\ in = 0.833\ in[/tex]
0.833 is greater than 0.5in
So, we have:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
There are 1200 students at silver lake middle school 700 Are eighth graders what percent of the students are in the eighth grade round to the nearest 10th of a percent
A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?
Answer:
132 miles
Step-by-step explanation:
Given data
scale 1cm:40mi.
this means that
1 cm on the map is equal to 40 miles on
Hence if 1cm rep 40 miles
3.3cm will rep x
cross multiply
x= 3.3*40
x=132 miles
graph each transformation, g(x), and write the equation for the transformed function
Answer:
Step-by-step explanation:
f(x) = [tex]3^{x}[/tex]
g(x) = [tex]3^{x-1}[/tex]
An engineer is using computer-aided design (CAD) software to design a component for a space shuttle. The scale of the drawing is 1 cm : 60 in. The actual length of the component is 12.75 feet. What is the length of the component in the drawing?
============================================================
Work Shown
1 foot = 12 inches
12.75 ft = 12.75*12 inches = 153 inches
The scale of 1 cm : 60 in allows us to form the proportion below
(1 cm)/(60 in) = (x cm)/(153 in)
1/60 = x/153
1*153 = 60*x ..... cross multiply
153 = 60x
60x = 153
x = 153/60
x = 2.55
The length of the component in the drawing is 2.55 cm
Side note: This is equivalent to 25.5 mm since 1 cm = 10 mm (ie you multiply by 10 to go from cm to mm).