otal perimeter = 76cm = AB + BC + CD + AD
AD & BC = 13cm
AB = 1.5*(CD)
Solution:
Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation
76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC
76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms
76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides
50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB
50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation
50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5
20cm+=+CD
To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)
AB+=+1.5%2A20cm
AB+=+30cm
Given only a compass and straightedge, Greeks were able to construct only
regular polygons and circles, thus leaving many constructions impossible to
complete.
A. True
B. False
A regular heptagon (7-sided figure) cannot be constructed with a compass and straightedge.
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
explain how 6/12 and 4/8 are equal fractions
6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.
Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:
(4/8)/(2/2) = 2/4
(6/12)/(3/3) = 2/4
As you can tell, when they share a common denominator (4), the numerators are the same as well (3).
~
The sum of three consecutive multiples of 7 is 777 find these multiples
let the consecutive multiples be 7(n-1) , 7n and 7(n+1)
so 7(n-1)+7n+7(n+1)=777
or 3n=111,
n=37
252,259,266
[tex]7n+7n+7+7n+14=777\\21n=756\\n=36\\\\7n=252\\7n+7=259\\7n+14=266[/tex]
252,259,266
Find the midpoints of the points (-3,-2) and (1,-4)
Answer: (-1,-3)
Step-by-step explanation:
midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]
[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]
[tex](\frac{-2}{2},\frac{-6}{2})[/tex]
-2/2=-1
-6/2=-3
So the midpoint is (-1,-3)
Please mark brainliest
Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)
Answer:
C. X-Y X-Y
Step-by-step explanation:
The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)
PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
__
24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
describe importance of public participant
Answer:
the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.
Briefly explain your knowledge of sine, cosine, and tangent.
Answer:
Sine, Cosine and Tangent are main functions used in Trigonometry .
They are based on a Right-Angled Triangle.
It helps to give a name to each side of a right triangle:
"Opposite" ; side opposite to the angle θ
"Adjacent"; side adjacent (next to) to the angle θ,
"Hypotenuse" ; the longest side
Step-by-step explanation:
Sine, Cosine and Tangent (are often shortened as sin, cos and tan)
They are used in calculation by;
[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]
To remember how to apply them , we use
SOHCAHTOA
soh
Sin = Opposite / Hypotenusecah
Cosine = Adjacent / Hypotenusetoa
Tangent = Opposite / AdjacentI hope it helps :)(07.06A) Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
Answer:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)
Answer:
176m²
Step-by-step explanation:
When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.
Step 1
Find the Outer surface area of the cone
Outer / Lateral surface area of a cone =
πrl
Where l = √r² + h²
r = 4 m
h = 3m
Outer surface area = 22/7 ×√4² + 3²
= 22/7 × √16 + 9
= 22/7 × √25
= 22/7 × 5
= 62.83185m²
Step 2
Find the outer surface area of a cylinder
= 2πrh
π = 22/7
r = 4m
h = 4.5
π = 22/7
Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5
= 113.09734m²
Step 3
The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder
= 62.83185m² + 113.09734m²
= 175.92919m²
Approximately ≈ 176m²
Therefore, the outer surface area of the tent = 176m²
La madre de rosita se ha comprado una mascarilla por un valor de 1 25 dolares al mismo tiempo se ha comprado un paquete de jabones de 2 00 dolares y luego compra un gel de alcohol en 3 00 dolares después de pagar le queda 7 65 dolares que debemos saber que tengo que hacer para obtener el resultaron
Answer:
La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos es de $13.90
Step-by-step explanation:
La información dada son;
El valor de la máscara = $ 1.25
El valor del paquete de jabones = $ 2.00
El valor del gel de alcohol = $ 3.00
La cantidad que le quedaba después de pagar = $ 7.65
Por lo tanto, tenemos;
La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = La cantidad que le quedaba después de pagar + El valor del gel de alcohol + El valor del paquete de jabones + El valor de la mascarilla
Por lo tanto;
La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = $ 7.65 + $ 3.00 + $ 2.00 + $ 1.25 = $ 13.90.
plz help asap i have limited time i will give brainliest
Answer:
358
Step-by-step explanation:
In 1995, the boys were 50 %
Take the number of people at the convention in 1995 ( 716)
and multiply by 50%
716 * 50%
716 * .50
358
Answer:
b. 358
Step-by-step explanation:
First, find what percentage of attendees were boys in 1995:
By reading the graph, we can see 50% were boys.
In the table, we can see that there were 716 attendees in 1995.
To find how many boys attended in 1995, find 50% of 716.
716(0.5) = 358
Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)
Answer:
[tex]D=-5y^2[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle -15y^4=D(3y^2)[/tex]
And we want to find D such that the equation is true.
So, we can divide both sides by 3y². This will yield:
[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]
We can split this into:
[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]
Simplify. Hence:
[tex]D=-5y^2[/tex]
9. You run a business making birdhouses. You spend $600 to start your business, and it costs you $5.00
to make each birdhouse.
# of birdhouses
1
2
3
4
5
6
7
Total cost to build
Answer:
$635
Step-by-step explanation:
$5x7 birdhouses=$35want
So, $35+$600=$635 total!
I hope this helps you!
Multiplication is the process of multiplying. The cost of building 7 birdhouses will be $635.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The cost of the birdhouse is the sum of the fixed cost, which is the setup cost of the business of $600, and the variable cost is the cost that is needed to make a single house, therefore, $5.
Now, the total cost of making n number of houses will be,
Cost of making n house = Fixed cost + variable cost
= $600 + $5(n)
Further, the table can be filled using the above formula by substituting the value of n for the number of houses. Therefore,
Number of bird houses Total cost to build
1 $600+$5(1) = $605
2 $600+$5(2) = $610
3 $600+$5(3) = $615
4 $600+$5(4) = $620
5 $600+$5(5) = $625
6 $600+$5(6) = $630
7 $600+$5(7) = $635
Hence, the cost of building 7 birdhouses will be $635.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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whats a negative times a positive times a negative?
Answer:
Positive
Step-by-step explanation:
negative times negative is postive positive times negative is negative
Answer:
A positive.
Step-by-step explanation:
Let's replace these with numbers.
-1 · 2 · (-3)
A negative times a positive will always equal a negative. So, we have:
-2 · (-3)
Any numbers with the same sign (positive or negative) multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.
6
Hope this helps!! <3 :)
Is 3+(-4) the same as -4+3 ? Explain
Given that (-9,-8) is on graph of f(x), find the corresponding point for the function f(x)+2
Answer:
(-9, -6)Step-by-step explanation:
The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).
It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).
-8 + 2 = -6
90 POINTS! HELP ASAP! Using one of the figures below, explain a strategy for calculating the area of the irregular polygon.
Answer:
area of polygon = 88 sq. units
Step-by-step explanation:
lets make it simple, short and accurate.
area of polygon = total area - total area of triangles
total area = 11 * 12 = 132
triangle 1 = 1/2 * 5 * 5 = 12.5
triangle 2 = 1/2 * 3 * 6 = 9
triangle 3 = 1/2 * 3 * 8 = 12
triangle 4 = 1/2 * 3 * 7 = 10.5
total area of triangle = 12.5 + 9 + 12 + 10.5 = 44
area of polygon = 132 - 44 = 88 sq. units
Answer:
The area of the irregular polygon:
88 units²
Step-by-step explanation:
The irregular polygon is insert in a rectangle
The strategy is:
1 - calculate the rectangle total area
2- calculate the area of each right triangle
3.- substracte the total area of the 4 right triangles from the area of the rectángule
then:
1.-
Ar = 12*11 = 132 units²
Ar = rectangle area
2.-
At₁ = (5*5)/2 = 25/2 = 12.5 units²
At₂ = (6*3)/2 = 18/2 = 9 units²
At₃ = (7*3)/2 = 21/2 = 10.5 units²
At₄ = (8*3)/2 = 24/2 = 12 units²
At total = 12.5 + 9 + 10.5 + 12 = 44 units²
At = right triangle areas
3.-
Ap = 132 - 44 = 88 units²
Find the length of UX
A. 6.03
B. 76.11
C. 7.96
D. 76.53
Answer:
Answer would be D
Step-by-step explanation:
The measure of the length UX will be 76.53 units. Then the correct option is D.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The measure of the length UX will be given by sine of angle 6°.
sin 6° = UR / UX
0.1045 = 8 / UX
UX = 76.53 units
Then the correct option is D.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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hello :) why is the first one wrong?
Answer:
The cube only belongs to the x and not 2x.
The statement will only be true if there is a bracket around the 2x.
log₃(2x)³= 3log₃2x
logarithm power rule:
logₐ(x)^y = y ∙ logₐ(x)
Answer:
see explanation
Step-by-step explanation:
Given
[tex]log_{5}[/tex] 2x³
= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³
= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 6 in this number.
672,180
Six hundred thousand
Hope it helps :)
How to do this question plz answer me step by step plzz plz
Answer:
4 cm
Step-by-step explanation:
Volume of milk
LBH
L= 8, B= 5 and H =12
5×8×12=480
After rotation
L= 8, B=15 and H=x
V=LBH
480=8×15×x
480=120x
x=4cm
Answer:
The depth of the milk is 4cm when turned
Step-by-step explanation:
First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)
5x8x12=480 cm^3
The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same
When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.
8x15xh=480
120h=480
h=4
The depth of the milk is 4cm when turned
HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope of the line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)
m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, ...
Answer:
2n+7
Step-by-step explanation:
First lets find the common difference which is 2, now we can use this formula to find the nth term.
an = a1 + (n - 1 ) d
an= 9+(n-1)2
=9+2n-2
=2n+7
To check let's insert n=5, 2(5)=10+7=17.
15+2=17!
26.
What is the solution to. y - 9 > 4 + 2y?
HELP. answer if you can!
Answer:
y<−13
y−9>4+2y
Simplify both sides of the inequality
y−9>2y+4
Subtract 2y from both sides
y−9−2y>2y+4−2y
−y−9>4
Add 9 to both sides.
−y−9+9>4+9
−y>13
The divide both sides by -1
Answer:
[tex]\boxed{y < -13}[/tex]
Step-by-step explanation:
Hey there!
To solve for y we‘ll combine like terms and use the communicative property.
y - 9 > 4 + 2y
+9 to both sides
y > 13 + 2y
-2y to both sides
-y > 13
Divide -1 by both sides
y < -13
Hope this helps :)
Two numbers are in ratio 3 by 2 and their difference is 5 find numbers
Answer:
The first number is 15, the second number is 10Step-by-step explanation:
a:b = 3:2 ⇒ a = 3x and b = 2x
a - b = 5
3x - 2x = 5
x = 5
a = 3•5 = 15
b = 2•5 = 10
Solve the equation for all values of x in simplest form: (x-9)^2 = 15
[tex](x-9)^2=15\\x-9=\sqrt{15} \vee x-9=-\sqrt{15}\\x=9+\sqrt{15} \vee x=9-\sqrt{15}[/tex]
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
Answer:
7x + 2
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12
If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.
sin theta upon 1 + cos theta + 1 + cos theta upon sin theta is equals to 2 cosec theta prove
Answer:
Step-by-step explanation:
I'll use x instead of theta.
So we have:
sin x / ( 1 + cos x) + (1 +cos x) / sinx
The LCM is sin x(1 + cos x) so we have
sin^2 x + (1 + cos x)^2 / sin x(1 + cos x)
= sin^2 x + cos^2x + 2 cos x + 1 / sin x(1 + cos x)
Now sin^2x + cos^2x = 1 so:
= 2 + 2 cos x / sin x(1 + cos x)
= 2(1+ cos x) / sin x(1 + cos x)
The 1 + cos x is common so we have:
2 / sin x
= 2 cosec x.
