Answer:
See Explanation
Step-by-step explanation:
The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).
The following assumptions, apply:
(1) Scale factor of 1/2 from the blue to the yellow triangle.
(2) The dimension of the blue triangle are:
[tex]Base = x[/tex]
[tex]Sides= y\ and\ z[/tex]
[tex]Height= h[/tex]
First, calculate the dimensions of the yellow triangle.
The dimension will be the product of the scale factor and the dimensions of the blue triangle.
So, we have:
[tex]Base = \frac{1}{2} * x = \frac{1}{2}x[/tex]
[tex]Sides = \frac{1}{2}y\ and\ \frac{1}{2}z[/tex]
[tex]Height = \frac{1}{2}h[/tex]
The perimeter of the blue triangle is:
[tex]P_1 =Base + Sides[/tex]
[tex]P_1 = x + y + z[/tex]
The perimeter of the yellow triangle is:
[tex]P_2 =Base + Sides[/tex]
[tex]P_2 = \frac{1}{2}x + \frac{1}{2}y + \frac{1}{2}z[/tex]
Factorize
[tex]P_2 = \frac{1}{2}[x + y + z][/tex]
Recall that: [tex]P_1 = x + y + z[/tex]
So:
[tex]P_2 = \frac{1}{2}*P_1[/tex]
This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.
The area of the blue triangle is:
[tex]A_1 = \frac{1}{2}* Base * Height[/tex]
[tex]A_1 = \frac{1}{2} * x* h[/tex]
[tex]A_1 = \frac{1}{2} xh[/tex]
The area of the yellow triangle is:
[tex]A_2 = \frac{1}{2} * Base * Height[/tex]
[tex]A_2 = \frac{1}{2}* (\frac{1}{2}x) * (\frac{1}{2}h)[/tex]
Rewrite as:
[tex]A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h][/tex]
[tex]A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h][/tex]
Recall that:[tex]A_1 = \frac{1}{2} xh[/tex]
So:
[tex]A_2 = (\frac{1}{2})^2 *A_1[/tex]
This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.
A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By hou
many square meters does the area of the hot spring decrease? Use 3.14 for it.
Answer:
the area decreases by 1155.52 square meters
Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of
Answer:
look at the box did you see it
Answer:
I hope you are wanting the measure of QM
QM = 12.08 in
Step-by-step explanation:
Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:
QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146
QM = √146 = 12.08 in
Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?
State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes
Answer:
Yes
Step-by-step explanation:
6 + 8 = 14 which is bigger than 9 so it is possible
If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible
On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.
Answer:
18 People bought hot dogs
Step-by-step explanation:
The question is not complete, but I’m assuming you need the number of people who bought hot dogs.
25 customers bought gas.
72% of them also bought a hot dog.
So thE number of customers who bought hot dogs are 72% of 25
=> 72/100 * 25
=> 0.72 * 25
= 18 people
Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?
Factor the expression step by step
Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13
pls explain the answer if possible ^^
Answer:
Option C
Step-by-step explanation:
If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.
Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:
[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]
10 does equal 10, so this is a true statement. Option C is the right answer.
Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square?
HELP ME PLEASE I BEQ YOU
!!!!!
Jenna is measuring the length of her textbooks to see if they
will fit in her new desk at school. Jenna's three textbooks
measure 25 centimeters long, 370 millimeters long, and 24
centimeters long. What is the combined length of Jenna's
textbooks if she wants to lay them down side-by-side in her
desk?
A. 86 millimeters
B. 86 centimeters
C. 860 centimeters
D. 8.6 millimeters
Answer:
86 cm
Step-by-step explanation:
1. convert 370 mm to cm ---> 37 cm
2. add : 25 cm+ 37 cm+ 24 cm = 86 cm
What is the value of x?
26°
to
X =
= [?]
Answer:
x = 154°
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
x = 154°
the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number
Answer:
The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.
A. 113 cm3
B. 903 cm3
C. 25 cm3
D. 38 cm3
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
6
centimeters
...................................................................................................................................................
For this case we have that by definition, the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
According to the data we have to:
Substituting we have:
The option that best fits is option B.
Answer: v=113cm3
The option that best fits is option B.
...............................................................................................................................................
Answer:
V ≈ 904 cm³
Step-by-step explanation:
Let r denotes radius
r = 6cm (given)
As it a sphere of radius 6cm,
Volume of a sphere,
V = 4/3 π r³
V = 4/3 (3.14) (6)³
V = 4/3 (3.14) x 216
V = 4 (3.14) x 72
V = 12.56 x 72
V = 904.32 cm³
Rounding off,
V ≈ 904 cm³
...............................................................................................................................................
Answer:
113 cm
Step-by-step explanation:
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-4))
Answer:
171
Step-by-step explanation:
First you plug -4 into the g(x) equation
g(-4)= 1-3(-4)
Use pemdas
g(-4)= 1+12
g(-4)= 13
Next you plug 13 into the f(x) equation
f(13)= 13^2 + 2
First you do 13^2=169
Add 2 and you get 171
Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:
X is next to the number 10, so x would be the number of dinner tickets sold.
Rewrite x + y = 100 to x = 100-y
Now replace that in the 2nd equation:
10(100-y) + 6y = 900
Simplify:
1000 -10y + 6y = 900
Combine like terms:
1000 -4y = 900
Subtract 1000 from both sides
-4y = -100
Divide both sides by-4
Y = 25
Replace y in the first equation and solve for x
X + 25 = 100
X = 75
A) 75 dinner tickets were sold
B) 25 dessert tickets were sold
C) 75 x 10 = $750
D) 25 x 6 = $150
how do i Add 5/8 = 3/7
Answer:
Add 11/56
Step-by-step explanation:
3/7 = 24/56 (×8)
5/8 = 35/56 (×7)
35/56 - 24/56 = 11/56
find each angle measure to the nearest degree tan A = 20403 cos Z = 0.1219
Answer:
degree for A is 29° and degree for Z is 0°
please help me with math
no links i will report
no random answers please i really need help
find measure of CDE
Answer:
CED = 172°
Step-by-step explanation:
CDE = 360° - 35° - 50° - 103°
CDE = 172°
Please help me!! I suck at geometry. I don’t understand any of it at all
Answer:
use socartic for help
Step-by-step explanation:
does anyone know what lazor wulf is? if so send me a picture
Answer:
I think its like a cartoon or something like that
https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200
there image I think
Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y
Answer:
(-4.666667, -3.16667)
Step-by-step explanation:
(-4 2/3, -3 1/6)
9514 1404 393
Answer:
(x, y) = (7, 2 2/3)
Step-by-step explanation:
We can multiply the first equation by 2/5 to get ...
8x -6y = 40
The second equation gives an expression for 6y that we can substitute.
8x -(3x -5) = 40
5x +5 = 40 . . . . . eliminate parentheses
x +1 = 8 . . . . . . . .divide by 5
x = 7 . . . . . . . . . .subtract 1
Using the second equation, we find ...
3(7) -5 = 6y
y = 16/6 = 2 2/3
The coordinates of the point of intersection are (x, y) = (7, 2 2/3).
Will mark brainliest
Angle measures and segment lengths.
FIND X
I shouldn’t have to beg for a legitimate answer. This is my 3rd time posting and the only answers I get are scam links. All I ask for is some help. I would just like the answer or the formula so I can solve the rest on my own. Brainly is a platform for students to get the help they need. Please stop being inconsiderate and disrespectful of their school work. Please and thank you.
Answer:
x = 12 cm
Step-by-step explanation:
Based on the tangent and secant theorem,
8² = 4(4 + x)
Solve for x
64 = 16 + 4x
Subtract 16 from both sides
64 - 16 = 4x
48 = 4x
Divide both sides by 4
48/4 = 4x/4
12 = x
x = 12
Hello! Please help! (directions on the image) :D
In ATUV, the measure of V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure
of ZT to the nearest degree.
U
5.4
хо
V
1.6
Answer:
Submit Ang
Answer:73
Step-by-step explanation:
PLZ HELP I NEED TO TURN THIS IN IN 10 mins
Answer:
2 or 4 because it's in the middle I think 2
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
can I please get brainliest if correct only got like 4 pls
Help Pleaseee, i dont know how to find the period
Answer:
6 Pi
Step-by-step explanation:
The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.
If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal
The principal is N16.94
Step-by-step explanation:
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (123 × 100)/(3 × 242)
Principal = 12300/726
Principal = 16.9421
Nicolas has $650 to deposit into two different savings accounts.
• Nicolas will deposit $400 into Account I, which earns 3.5% annual simple interest.
• He will deposit $250 into Account II, which earns interest compounded annually.
Nicolas will not make any additional deposits or withdrawals. Which amount is closest to the total balance of these two accounts at the end of 2 years?
Answer:
694.51
Step-by-step explanation:
The numbers in the diagram below indicate the lengths of the sides of a triangle. Bernadette drew the following triangle and claims it is a right triangle.
State whether or not Bernadette is correct?
Answer:
It's not a right triangle, there isn't a right angle anywhere there.
Also, it's not applicable via pythagorean theorem
Step-by-step explanation:
What is the value of 2x2 when x = 1.5?
15.0
4.45
4.50
450
Answer: 4.50 look at the picture
Step-by-step explanation: Hope this help :D
Step-by-step 4.5 ....................
