Answer:
the idea is to devide the shape into 3 smaller parts.
Step-by-step explanation:
devide it to three areas :
> semi-circle (0.5 * pi * R), R=5
>Square (10 * 10)
> triangle (0.5 * base * height),
bsse =10, height =7
Add them together.
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Answer:
\( \frac{12}{7} \)
Step-by-step explanation:
Side length of red ∆ = 12
Side length of blue ∆ = 7
Given that the red ∆ is similar to the blue ∆, therefore the ratio of their corresponding sides = the ratio of their perimeter.
The ratio of the perimeter of red ∆ to perimeter of blue ∆ = side length of red ∆ / side length of blue ∆
\( = \frac{12}{7} \)
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
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4. The piece below is 4/5 of the whole ribbon. Complete the drawing to show the whole ribbon.
Based on the limited information, it can be deduced that 1/5 of the ribbon is not in view.
How to solveIn order to show the complete ribbon, we need to understand that in mathematical terms:
Since 4/5 of the ribbon is showing
This means that about 1- 4/5
= 1/5 of the ribbon is not in view.
With this knowledge, you can go ahead to complete your drawing, knowing that a full ribbon has a rectangular shape.
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David ran the 50 yard dash in 7. 2 seconds, and won the event. Justin came in second with a time of 8. 1 seconds. How much better was david’s time than Justin’s
passes through (6, 0) and (-4, 9)
Answer:
-9/10 if am not mistake s=y2-y1/x2-x1
Solve the equation with the quadratic
formula. Enter the smallest solution
first and round to the nearest tenth.
2x² - 4x - 48 = 0
x = [?], [?]
For the quadratic equation 2x² - 4x - 48 = 0 value of x is 6 and -4.
What is quadratic equation?
The second-degree equation is a quadratic equation. This indicates that it has at least one (1) squared phrase. Ax2 + bx + c = 0 is one of the most used formulas for solving quadratic equations. Here, a, b, and c are constants or numerical coefficients. Here, the variable "X" is unknowable.
ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
We have a quadratic equation;
2x² - 4x - 48 = 0
To find the value of x we have to follow these steps ;
(2x^2 - 4x) - 48 = 0
Pull out like factors :
2x^2 - 4x - 48 = 2 • (x^2 - 2x - 24)
x2 multiplied by 2x and 24
x^2 is the initial term, and it has a coefficient of 1.
The coefficient of the middle term, which is -2x, is 2.
"The constant," the final term, is -24.
⇒ x^2 - 6x + 4x - 24
⇒ (x+4) • (x-6)
⇒ 2 • (x + 4) • (x - 6) = 0
therefore x+4 = 0
x = -4
and x-6 = 0
Add 6 to both sides of the equation :
x = 6
Hence, for the quadratic equation 2x² - 4x - 48 = 0 value of x is 6 and -4.
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I need help solving the missing part of the problem
The given functions are:
\(\begin{gathered} f(x)=5x-3 \\ g(x)=3x^2+6x+4 \end{gathered}\)To solve for f(g(6)), first we need to find g(6):
\(\begin{gathered} g(6)=3\cdot(6)^2+6(6)+4 \\ g(6)=3\cdot36+36+4 \\ g(6)=108+36+4 \\ g(6)=148 \end{gathered}\)So, f(g(6))=f(148), now find f(148):
\(\begin{gathered} f(148)=5\cdot148-3 \\ f(148)=740-3 \\ f(148)=737 \end{gathered}\)The answer is f(g(6))=737
b. Find f(f(2)).
Start finding f(2):
\(\begin{gathered} f(2)=5\cdot2-3 \\ f(2)=10-3 \\ f(2)=7 \end{gathered}\)Now, f(f(2))=f(7), solve for f(7):
\(\begin{gathered} f(7)=5\cdot7-3 \\ f(7)=35-3 \\ f(7)=32 \end{gathered}\)The answer is f(f(2))=32
For this question, consider that the letter "A" denotes the last 4 digits of your student number. That is, for example, if your student number is: 12345678, then A = 5678. Assume that the factors affecting the aggregate expenditures of the sample economy, which are desired consumption (C), taxes (T), government spending (G), investment (I) and net exports (NX) are given as follows: Cd= A + 0.6 YD, T= 100+ 0.2Y, G = 400, Id = 300+ 0.05 Y, NX4 = 200 – 0.1Y. (a) According to the above information, explain in your own words how the tax collection changes as income in the economy changes? (b) Write the expression for YD (disposable income). (c) Find the equation of the aggregate expenditure line. Draw it on a graph and show where the equilibrium income should be on the same graph. (d) State the equilibrium condition. Calculate the equilibrium real GDP level.
The correct answer is $56,000.the total profit for Pinewood Furniture Company, considering only the production of 200 chairs and 400 tables
What is the demand for chairs and tables each day?To determine the total profit for Pinewood Furniture Company, we need to calculate the profit generated from producing 200 chairs and 400 tables.
Each chair generates a profit of $80, and if 200 chairs are produced, the total profit from chairs would be:
200 chairs * $80/profit per chair = $16,000.
Similarly, each table generates a profit of $100, and if 400 tables are produced, the total profit from tables would be:
400 tables * $100/profit per table = $40,000.
Therefore, the total profit for Pinewood Furniture Company, considering only the production of 200 chairs and 400 tables, would be:
$16,000 (profit from chairs) + $40,000 (profit from tables) = $56,000.
Hence, the correct answer is $56,000.
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lowkey urgent please help
Answer: hmmm can we see the answer choices because I think I. Ight know the answer
Step-by-step explanation:
The CSA of a cone is 550 cm square & its slant height 25cm
Find the height of the cone.
Answer:
height=24cm
Step-by-step explanation:
CSA of cone=550cm square
slant height=25cm
Height of the cone=?
Now,
CSA=pie rl (formula)
or, 550=22÷7×r×25
or,550×7=22×r×25
or,r=7cm
the circumference of a circle is 25.12 meter. What is the diameter of this circle?
Use 3.14 for pi
Answer:
Step-by-step explanation:
8 sqaure feet
This solid is made from a cone and a cylinder of radius 5cm.
11 cm (l) cone length
7 cm (h) cylinder height
Find the total surface area of the solid, including the base, in terms of pi.
The object is cone and a cylinder combined,
So first we get the areas of both and sum the both.
TSA of a cylinder =2 πr+(r + h)
=2 π x (5)+(5+7)=43.41592654
Then the TSA of a cone
= πr(l + r)
π x5(11+5)=80 π
REMEMBER THEY HAVE THE SAME RADIUS SINCE THEY ARE JOINED!!
Therefore,
80 π + 43.41592654= 295cm squared to whole number
Answer:
200π cm².
Step-by-step explanation:
To find the total surface area of the solid made from a cone and a cylinder, we need to calculate the surface area of each component separately and then add them together.
1. Surface area of the cone:
The surface area of a cone can be calculated using the formula: πr(r + l), where r is the radius of the base and l is the slant height.
Given that the radius of the cone is 5 cm and the slant height is 11 cm, we can substitute these values into the formula to find the surface area of the cone.
Surface area of the cone = π(5)(5 + 11) = 80π cm²
2. Surface area of the cylinder:
The surface area of a cylinder can be calculated using the formula: 2πrh + 2πr², where r is the radius of the base and h is the height.
Given that the radius of the cylinder is also 5 cm and the height is 7 cm, we can substitute these values into the formula to find the surface area of the cylinder.
Surface area of the cylinder = 2π(5)(7) + 2π(5)² = 70π + 50π = 120π cm²
3. Total surface area:
To find the total surface area of the solid, we add the surface area of the cone to the surface area of the cylinder.
Total surface area = Surface area of the cone + Surface area of the cylinder
Total surface area = 80π + 120π
Total surface area = 200π cm²
Therefore, the total surface area of the solid, including the base, in terms of pi is 200π cm².
24 shirts cost $259.36. Find the unit rate.
The unit rate for each shirt if 24 shirts cost $259.36 as required to be determined is; $10.81.
What is the unit rate for each shirt?It follows from the task content that the unit rate is to be determined if 24 shirts cost $259.36.
On this note, it follows that; the unit rate is given by the quotient;
Unit rate = Total cost / No. of units
Unit rate = 259.36 / 24
Unit rate = 10.80667.
Ultimately, the unit rate of the shirts as required is; $10.81.
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PLEASE HELP
IT SAYS IN PROGRESS BUT ITS COMPLETED WHAT DO I DO???!!!!
Answer:
click on it and double check that all questions are 100% complete if so wait because it is quite possible it is a glitch this sort of thing happens often no need to be alarmed
Select the correct answer.
The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used
to find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)
OA /r-1.25/= 0.1
OB. 11.25r-1.25/= 0.1
OC. /r-0.1/= 1.25
OD. /r-0.1r/= 1.25
The absolute value equation that can be used to find the minimum and maximum radius accepted is:
A. |r - 1.25| = 0.1.
What is the absolute value?The absolute value function is defined as follows:
\(|x| = x, x \geq 0\)
\(|x| = -x, x < 0\)
It measures the distance of a point x to the origin.
In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:
A. |r - 1.25| = 0.1.
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What is the domain:
What is the range:
Answer:
Domain: [-4,4]
Range: [-4,6]
Step-by-step explanation:
To domain pertains to the x-coordinates, while the range pertains to the y-coordinates.
Looking at the graph, we can see that the farthest point to the left is (-4,3) and the farthest point to the right is (4,6). Now, we know that the domain is [-4,4].
Looking at the graph, we can see the highest point is (4,6) and the lowest point is (0,-4). Now, we know the range is [-4,6].
Now, we know that the domain is [-4,4] and the range is [-4,6].
if i have 10,000 and spent some and only have 1567 left how much did i spent
Answer:
8433
Step-by-step explanation:
let x = money spent
1567 + x = 10 000
x = 10 000 - 1567
x = 8433
Please help!
amanda spun two spinners,
both numbered 1-3, and then
added the numbers she spun.
what's the probability that
her sum was 5
If Amanda spun two spinners numbered 1 - 3 , then the probability that her sum was 5 is 2/9 .
The Probability is defined as the ; number of favorable cases by the total number of cases .
Amanda spins two spinners which are numbered 1 , 2 and 3 .
So , the outcomes of the event are : (1 , 1) , (2 , 1) , (3 , 3) , (3 , 1) , (1 , 2) , (2 , 2) , (2 , 3) , (3 , 2) , (1 , 3) .
the outcomes in which the sum is 5 is = (3,2) , (2,3) .
So , the number of outcomes where sum is 5 = 2 ;
the total number of outcomes in the spun is = 9 .
So , the probability is = 2/9 .
Therefore , the required probability is 2/9 .
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an object undergoes an acceleration of 8 metre per second square starting from rest find the distance travelled in one second
Answer:
4m
Step-by-step explanation:
Initial velocity (u) = 0,
Uniform acceleration (a) = 8 m/s²
Time (t) = 1 s
Distance travelled in 1 second
= ut + 1/2at²
= 0 + 1/2× 8 ×1²
= 4 m Ans.
Is x=2 a zero of this function?
Yes or No?
Answer:
Yes, the graph touches the x-axis at x=2.
Step-by-step explanation:
It doesn't have to cross in order to touch. My teacher calls these a "touch-and-go" and rarely a "bounce", although these are not the actual names for them.
Someone help me extra points & brainlest
Answer:
BIG BRAIN
Step-by-step explanation:
EVER EXPANDING BRAIN
What is the total price of an iPhone that is $99 plus 6.5% sales tax?
Answer:
iphone 12 is trash
Step-by-step explanation:
I need help I will give brainliest
Answer:
Step-by-step explanation:
5). Triangle DEF is an equilateral triangle.
Therefore, measure of all sides and the angles of the triangle will be equal.
DE = EF = DF = 5.2 ft
3y + 1 = 5.2
3y = 5.2 - 1
3y = 4.2
y = 1.4
Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]
(5x)° = 60°
x = \(\frac{60}{5}\)
x = 12
6). Property to be used in ΔFGH,
"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"
FG = GH
3y = 12.9
y = 4.3
m∠F = m∠H
4x = 44
x = 11
Guys PLease someone help ACTUALLY DONT ASNWER IF U DONT KNOW IT MAN
please guys ASAP!!
Question:
10. A local dance warehouse needs to purchase new stock in ballet shoes. A Canadian company is offering a price of $5747.50 in Canadian Funds for 250 pairs of shoes. An American company is offering a price of $19.00 in US Funds per pair of shoes. If 1 Canadian Dollar is worth $0.79 in US Dollars, which company is offering the best price? JUSTIFY your answer by calculating the unit rates.
Answer:
the best company is canadian since the shoes are equivalent to 4,540.525$ (US dollars)
while if you multiply the american (19× 250) company they sell it for 4750 dollars
explanation:
5747.50 in canadian dollars for 250 pairs of shoes
make 5747.50 into US dollars by multiplying
5747.50 × 0.79 so thats how it equals 4,540.525 or 4,540$ (us dollars)
sorry if im speeding this up im in school rn
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 70,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 9 years, to the nearest whole number?
Answer:
194444.4
Step-by-step explanation:
The number of fish catch in 9 years were 48,477.37.
What is exponential decay?Exponential decay is a scalar multiple of the exponential distribution i.e. the individual lifetime of each object is exponentially distributed, which has a well-known expected value.
Given that the company's operations it managed to catch 70,000 fish.
The number of fish the company was able to catch decreased by 4% each year.
We need to find the number of fish catch in 9 years,
So, the exponential decay is to be used her, so,
Exponential decay = P(1-r)ⁿ
= 70,000(1-0.04)⁹
= 70,000 × 0.96⁹
= 48,477.37
Hence the number of fish catch in 9 years were 48,477.37.
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for one weekend each year before school begins, people can buy clothing without paying any sales tax. Nora is shopping for new outfits to wear to school. She also has a coupon that will take 5% off of each item she buys.
Part A: Write an equation for the amount of money (c) that Nora would spend, after the discount is applied, on a shirt that cost (d) dollars.
Part B: Nora can spend a total of $57 on clothes at this store. What is the total value of the clothes that Nora can buy at the store, in dollars, before the discount is taken?
Answer:
Part A:
The equation for the amount of money Nora would spend after the discount is applied on a shirt that costs d dollars is:
c = d - 0.05d
c = 0.95d
Part B:
Let x be the total value of the clothes Nora can buy before the discount is taken.
After the discount is applied, she can spend a total of $57, so we have:
0.95x = 57
x = 60
Therefore, Nora can buy a total of $60 worth of clothes before the discount is taken.
My yard is 2730 square feet. It’s base is 65 feet. What is the height.
Answer: Your height is 42
Step-by-step explanation: 2730 divided by 65 would by 42
Answer:
area of rectangle is product of base×height.or length×breadth
area of rectangle= base ×height
2730 feet²=65×height
2730/65=height
42feet=height.
convert the radians to degrees
\(\pi = 180\)
\( \frac{17 \times 180}{12} = \frac{3060}{12} = 255\)
Did I do it write ? Homework due please let me know ! Thanks !
Answer: Yes you did!
Step-by-step explanation:
simplify -3/4 divided by 2/-8
Answer: 3
Step-by-step explanation:
(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3
Show that there exist a rational number a and an irrational number b such that a^b is irrational.
Answer:
In explanation below.
Step-by-step explanation:
Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.