Step-by-step explanation:
So r = D ÷ 2
Since the area of a circle = πr²
then the area of a semi-circle = (¹/₂π (¹/₂D)²)
Area of a semicircle given the diameter = (¹/₂π (¹/₂D)²)
= (¹/₂(3.14) (¹/₂ 8ft)²)
= 25.12 ft²
4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?
The number of white sweaters will be 8 while the number of blue sweaters will be 22.
Let white sweaters be represented by w.Let blue sweaters be represented by bTherefore, the equation to solve the question will be:
b + w = 30 .....i
420b + 398w = 12424 .... ii
From equation i, b = 30 - w
Since 420b + 398w = 12424
420(30 - w) + 398w = 12424
12600 - 420w + 398w = 12424
Collect like terms
- 420w + 398w = 12424 - 12600
-22w = - 176
w = 176/22 = 8
Since b + w = 308
b = 30 - 8 = 22
Therefore, there are 8 white and 22 blue sweaters.
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https://brainly.com/question/25734188
Peter watches 345 more American movies than Chinese movies. the ratio of Chinese movies to American movies is 4:7 . how many American movies does Peter watch?
Peter watches 805 American movies and 460 Chinese movies.
Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.
Since he watches 345 more American movies than Chinese movies. Hence:
x = y + 345
x - y = 345 (1)
Also:
x + y = z
x + y - z = 0 (2)
The ratio of Chinese movies to American movies is 4:7. Hence:
(4/11)z = y
-y + (4/11)z = 0 (3)
Solving equations 1, 2, and 3, simultaneously gives:
x = 805, y = 460 and z = 1265
Hence, Peter watches 805 American movies and 460 Chinese movies.
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help me please!! and thank you
Answer:
y=-5+15.5
Step-by-step explanation:
Lanzar dos monedas
¿Cuál es la probabilidad de obtener como mínimo un sello?
a) 1/4
b) 2/4
c) 3/4
d) 4/4
la probabilidad es de 2 uwu
Please help, this is timed :))
This is the right answer
(-2.05) - (-5)
explain and show how u did this
Answer:
2.95
Step-by-step explanation:
When we have a problem like this (-2.05)-(-5)
It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95
HELP ME PLEASE
A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.
Which relation is a function? (2 points)
(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)
Answer:
(serial number, model number)Step-by-step explanation:
please can someone help me with this question. I will mark as brainliest!
help please will give brainliest !!!!
Answer:
a) alternate interior angles
b) vertical angles
c) corresponding angles
d) linear pair
Step-by-step explanation:
Alternate interior angles:
formed when a transversal intersects two lines on the same plane located on the inside/interior side of the parallel lines, but they're on the opposite sides these angles are congruent Example: angles D and EVertical angles:
pair of opposite angles formed by lines that intersect these angles are congruentExample: angles E and HCorresponding angles:
angles that have the same relative position, formed by a transversal intersecting two parallel lines these angles are congruent Example: angles A and ELinear pair:
pair of adjacent angles formed by two intersecting linesangles have measures that add up to 180 degreesExample: angles C and DSofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =
Answer:
y= (10*x)+5.5
Step-by-step explanation:
B)
Answer:
y = 10x + 5.5
Step-by-step explanation:
We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.
So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.
Hopefully that's helpful! :)
what is the solution of this equation?
2y=24
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.
Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?
Answer:
Step-by-step explanation:
Answer asap pleaseeeee
Answer:
I am not certified because I also struggle with these but-
it might be
A. t = -5h-4
Step-by-step explanation:
For the answer A in the paragraph it states that the temperature was 4 degrees BELOW 0 meaning we shall put as -4° and each HOUR it keep going down 5 degrees so I would suppose it would be answer A.
!! please help me i’ll mark brainliest !!
Answer:
1/2=(A+B)
area of triangle=1/2×base×height
what is the quotient of 3/4 and 5/8
Answer:
6/5
Step-by-step explanation:
3/4 ÷ 5/8
Keep Change Flip
3/4x8/5
=6/5
Hope this helps :)
3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
Answer:
6.4
Step-by-step explanation:
5+7+7+5+7+7+6+7+7 = 58
There are 9 numbers
58 ÷ 9 = 6.444444
To the tenth = 6.4
Write in the form a to the power of n where n < 01/ 9x9x9x9x9x9x9x9x9x9
The answer is
31381059609
the value of /14-15/ is
Choose the best compatible numbers to find an estimated product or quotient.
2,127 ÷ 405
A. 2,100 ÷ 300 = 7
B. 2,000 ÷ 500 = 4
C. 2,400 ÷ 400 = 6
D. 2,000 ÷ 400 = 5
[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]
At the end of which day does Tyler have 2750 feet left to climb?
Which pairs of numbers are equivalent?
Select each correct answer.
15/8 and 1 7/8
35/4 and 8 3/4
23/6 and 4 1/6
11/4 and 2 1/2
40/12 and 3 1/3
i need this fast
Answer:
4 an 5
Step-by-step explanation:
Answer:
15/8 and 1 7/8
35/4 and 8 3/4
40/12 and 3 1/3
Step-by-step explanation:
15/8 and 1 7/8:
Convert the improper fraction into a mixed number: [tex]\frac{8+7}{8}[/tex]
Calculate the sum or difference: [tex]\frac{15}{8}[/tex]
Check equivalency: True
Answer: True
=================================================================
35/4 and 8 3/4
Convert the improper fraction into a mixed number: [tex]\frac{8*4+3}{4}[/tex]
Calculate the product or quotient: [tex]\frac{32+3}{4}[/tex]
Calculate the sum or difference: [tex]\frac{35}{4}[/tex]
Check equivalency: True
Answer: True
================================================================
23/6 and 4 1/6
Convert the improper fraction into a mixed number: [tex]\frac{4*+1}{6}[/tex]
Calculate the product or quotient: [tex]\frac{24+1}{6}[/tex]
Calculate the sum or difference: [tex]\frac{25}{6}[/tex]
Check equivalency: False
Answer: False
===============================================================
40/12 and 3 1/3
Reduce the fraction: 10/3
Convert the improper fraction into a mixed number: [tex]\frac{3*+1}{3}[/tex]
Calculate the product or quotient: [tex]\frac{9+1}{3}[/tex]
Calculate the sum or difference: [tex]\frac{10}{3}[/tex]
Check equivalency: True
Answer: True
================================================================
11/4 and 2 1/2
Convert the improper fraction into a mixed number: [tex]\frac{2*+1}{2}[/tex]
Calculate the product or quotient: [tex]\frac{4+1}{2}[/tex]
Calculate the sum or difference: [tex]\frac{5}{2}[/tex]
Check equivalency: False
Answer: False
Put the following equation of a line into slope-intercept form, simplify all fractions 8x + 20y = -120
Hello there! :)
8x+20y=-120
We want to put this equation into slope-intercept form (y=mx+b)
First, let's move 8x to the right side:
20y=-120-8x
Now, we divide both sides by 20 to isolate y:
y=-8/20-6
Simplify the fraction:
y=-2/5-6
Hence, that's our equation. Hope it helps you! (:
If you have any queries, feel free to ask me! :)
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
A new video streaming and renting company Webflix claims it is better than its competitors. They charge $3.00 per month plus $1.25 per rental of new movie releases. A close competitor refutes the claims of Webflix and stated that they are actually better than its competitors. Zulu charges $4.00 per month plus
$1.00 per rental of new movie releases.
a) If you rent 7 movies, which streaming service would cost more? Explain/show your reasoning
b) Write a system of equations representing the total costs of the two streaming companies based on x
movie rentals.
c) How many movie rentals would it take for the streaming services to cost the same? Explain/show
your reasoning
d) Make an argument on which streaming service is the better cost.
Answer:
A
Step-by-step explanation:
I I think that's the answer
Calculate the height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60° than when it's 30°.
Answer:
17.3 m
Step-by-step explanation:
If t is the height of the tree, then the length of the shadow is ...
shadow length = t/tan(α)
where α is the angle of elevation. The difference in shadow lengths is ...
20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)
t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m
The tree is about 17.3 meters high.
There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold?
Tell whether the given value is a solution of the inequality.
Answer:
Step-by-step explanation:
8p < -3
if p = -2
8* -2 < -3
-16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3
How would I graph this equation: 3x + 9y = −18
Find the perimeter of the shape on this centimetre grid.
Write an equation representing how much Tristan paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
These are the equations
Step-by-step explanation:
Gwen's equation = x + 10y = 30
Tristan's equation= x + 15y = 40
Keith's equation = x + 10y = 30