Answers
Answer:
9 cm²
Step-by-step explanation:
Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).
__
AnalysisThat line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.
In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.
__
System of EquationsAnalytically, we can write the equation of the right circle shown in the attachment as ...
x² +y² = 5²
and the equation of the line as ...
y = 2x +5
__
Solution of EquationsThen the x-value of the lower left corner will be found where these intersect.
x² +(2x +5)² = 25 . . . . . . substitute for y
x² +4x² +20x +25 25 . . . . eliminate parentheses
5x² +20x = 0 . . . . . . . . . . . . subtract 25
5x(x +4) = 0 . . . . . . factor
x = -4 or 0 . . . . . the x-coordinates of the points of intersection
The y-coordinate of the lower left point is ...
y = 2(-4) +5 = -3
__
Area of the SquareSince the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...
A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square
Related Questions
9 was the wrong answer what is the real answer to this problem
Answers
Answer:
Step-by-step explanation:
First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.
V= 3 x (3 squared) 9 x 14
V of Cylinder = 378 cm^3
V of Cone use the formula given,
V = [tex]\frac{3*9*5}{3}[/tex]
V = 45 cm^3
Add them together and you get 423 cm^3
Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?
Answers
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
y
y
x
x
It's a line with one side shaded to indicate which
x
xx-
y
yy pairs are solutions to the inequality.
In this case, we can see that the origin
(
0
,
0
)
(0,0)left parenthesis, 0, comma, 0, right parenthesis is a solution because it is in the shaded part, but the point
(
4
,
4
)
(4,4)left parenthesis, 4, comma, 4, right parenthesis is not a solution because it is outside of the shaded part.
The radius of a circle is 12.7 ft. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answers
Answer:
79.8
Step-by-step explanation:
What is the value of x in trapezoid ABCD?
OX=15
OX-20
OX=45
OX=60
Answers
Answer:
15.
Step-by-step explanation:
1) property:
m(∠B)+m(∠D)=180°;
2) according to the property:
3x+9x=180°; ⇒ x=15°
The value of x is 15 degree in the trapezoid ABCD.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles
A trapezoid is a quadrilateral with one pair of opposite sides parallel.
ABCD is a trapezoid.
We have to find the value of x in the given quadrilateral.
The sum of opposite angles of a quadrilateral is 180 degrees.
m(∠B)+m(∠D)=180°
From the figure m(∠B) is 3x and m(∠D) is 9x
3x+9x=180°
Combine the like terms
12x=180
x=15 degrees.
Hence, the value of x is 15 degree in the trapezoid ABCD.
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brainliest and 50 points!
find the area of the regular polygon
A) 696
B)157.3
C) 1235.2
D) 946.4
Answers
A. >
B. <
C. =
D. none of the above
Answers
Answer:
[tex]3.14 \times 10 ^{3} < 2.6 \times 10^{3} [/tex]
Step-by-step explanation:
[tex]3.14 \times 10 ^{3} [/tex]
[tex]3140[/tex]
[tex]2.6 \times 10 ^{4} [/tex]
[tex]26000[/tex]
write a word phrase that means the samme as x/4
Answers
If n is proportional to M squared and n) 27 when m=3 what is the formula for n in terms of M and what is the value of n given m=6
Answers
Answer:
n=9M, when m is 6,n=18
Step-by-step explanation:
If n is proportional to M
n=kM
27=3k
k=27/3
k=9
the formula on terms of n and M is
n= 9M
2) If m= 6,
n= 3M
n=3(6)
n=18
Answer:
n = 108
Step-by-step explanation:
given n is proportional to m² then the equation relating them is
n = km² ← k is the constant of proportion
to find k use the condition n = 27 when m = 3 , then
27 = k × 3² = 9k ( divide both sides by 9 )
3 = k
n = 3m² ← equation of proportion
when m = 6 , then
n = 3 × 6² = 3 × 36 = 108
A manufacturer makes a closed right cylindrical container whose base has radius 7 inches and whose height measures 14 inches. He also makes another cylindrical container whose base has radius 14 inches and whose height measures 7 inches. Which container requires more metal?
Answers
Answer:
The base is a triangle with a base length of 11 m and a corresponding height of 7 m. The height of the prism is 14 m. 12.
what is 445 fl oz into pints and why?
Answers
Answer:
27.8 nearest tenth pints
To find, divide the value by 16
Three students rotate the given figure around the origin.
Byron rotates the figure 90° clockwise.
Gaven rotates the figure 90counterclockwise.
Hollie rotates the figure 180°
Drag the result of each student's rotation into the table
Answers
Answer: It is the third to the top
Step-by-step explanation:
90's block each other out add you rotate it 180 degrees you get this.
Find the areas of these polygons
Answers
=5*7/2
=35/2
17.5sq.units//
The area of parallelogram
=15*8
=120sq.units//
The price of a machine depreciates by 10% every
year. If the machine is bought for $18000 and sold
after 3 years, what price will it fetch?
Answers
After 3 years = $13,122
Flynn has $4 worth of quarters.
How many quarters does Flynn have?
4 quarters
16 quarters
40 quarters
80 quarters
Answers
Answer:
16 quarters
Step-by-step explanation:
4 x 4 = 16
$1 = 4 quarter
Flynn has 16 quarters.
A linear function is represented below.
Which function has a greater y-intercept than the function in the table?
A. y = 4x
B. y = –2x
C. y = –x – 1
D. y = –0.5x + 5
here is the chart it wouldn't let me do a screenshot:
X, Y
-2,-6
0 0
3 9
Answers
Solution:
D. y = –0.5x + 5
In this chart, the slope, (m):
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]
[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]
[tex]\hookrightarrow \sf 3[/tex]
Equation:
[tex]\sf y_1-y= m(x_1-x)[/tex]
[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]
[tex]\hookrightarrow \sf y+6= 3x+6[/tex]
[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]
[tex]\hookrightarrow \sf y= 3x[/tex]
⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0
A = y-intercept : 0B = y-intercept : 0C = y-intercept : -1D = y-intercept : 5From this D only has the greatest y-intercept than the chart.
Answer:
D
Step-by-step explanation:
Sorry if I'm late for the party, hope this helps anyways! :)
Factor x2 + 16 completely.
a (x + 4)(x + 4)
b (x + 4)(x − 4)
c Prime
d (x − 4)(x − 4)
Answers
Prime
Solution:Let's factor this expression.x^2+16The expression is prime.Let's see why all the other options are wrong.Option A) (x+4)(x+4)x*xx*44*x4*4This makes x^2+8x+16, not x^2+16.Hope it helps.
Do comment if you have any query.
Answer:
prime
Step-by-step explanation:
I tried to delete my answer
The problem is on the screenshot
Answers
Answer:
x=1 y=4
x=2 y=7
x=3 y=10
Step-by-step explanation:
To find the answer, you have to plug in the x-value for the equation to find y.
You will then find out that every time x increases by 1, y increases by 3.
A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter b,e or c . If there is more than one element in the set, separate them with commas.
Answers
Answer:
Step-by-step explanation:
given that a bag contains 6 balls labelled A to F.
Given that a ball is drawn at random and its letter is recorded as outcome.
Since each ball is equally likely to be drawn the sample space for one ball drawing is
S = {A,B,C,D,E,F} and n(S) = 6
Let G be the event of choosing a lable from D to F
G = The event of choosing a label from D to F= {D,E,F} n(A) = 3
A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.
i.e. the sample space while flipping a coin is: {H,T}
The sample space while tossing a six-sided die is: {1,2,3,4,5,6}
Here it is given that:
A bag has six balls labeled: A,B,C,D,E,F
One ball will be randomly picked, and its letter will be recorded as the outcome.
This means that the sample space is given by:
Sample space={ A,B,C,D,E,F}
Now, when the event is choosing a letter from D to F.
Then the sample space is:
Sample space= {D,E,F}
What is the least common multiple of 23, 39, and 8? Sum
does anyone know this
Answers
Answer:
7176
Step-by-step explanation:
23 is a prime factor.
3 & 13 are the prime factors of 39.
2, 2, & 2 are the prime factors of 8.
Determine the max. number of times each prime factor occurs.
Calculate: 2^3 x 3 x 13 x 23 = 7176
Answer:
7,176
Step-by-step explanation:
The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176
Hope this helps!
Ben makes orange paint by mixing red, yellow and white paint in the ratio 20 : 16 : 1.5. how much of each colour does he need to make 1.5 litres of orange paint?
Answers
Answer:
0.8L = red
0.64L = yellow
0.06L = white
Step-by-step explanation:
R : Y : W
20 : 16 : 1.5
20 + 16 + 1.5 = 37.5
1.5 ÷ 37.5 = 0.04
0.04 × 20 = 0.8L = red
0.04 × 16 = 0.64L = yellow
0.04 × 1.5 = 0.06L = white
To cook fondant, sugar and water are heated to 230°F. Then the mixture
is cooled at room temperature before it is kneaded. If the cooked fondant
cools to 200°F in 15 minutes in a 68°F kitchen, how long will it take to
cool to 100°F? (Hint: Find the constant k first.)
Answers
Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
Newton's law of coolingAccording to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
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ILL GIVE BRAINLIST IF ITS CORRECT PLEASE HELP ASAP!!
Answers
Answer:
check the attachment and explanation below
Step-by-step explanation:
Explanation for statement 3 :
Suppose The number of shoppers on Saturday is 100 and the number of shoppers on Sunday is 200
Total number of shoppers = 300
On Saturday :
Q₃ = 70 then 25% of shoppers spent more then $70
then 25 shopper spent more then $70
On Sunday:
M’ = 70 then 50% of shoppers spent more then $70
then 100 shopper spent more then $70
On both days:
(100+ 25) shopper spent more then $70
Then 125 shopper spent more then $70
But 125 is not 75% of 100+200=300
Which statements are true about fractions and ratios? Select all that apply. All ratios are fractions. Some ratios are not fractions. All fractions are ratios. All ratios compare wholes and parts.
Answers
Answer: the person above is wrong
Step-by-step explanation: Some ratios are not fractions.
and All fractions are ratios
how to simplify 8 + ( -6 ) + 4
Answers
Answer:
6
Step-by-step explanation:
8+4=12
12-6=6
Samantha runs 4 1/2 miles in 45 minutes, or 3/4 hour. Nyomi runs 4 1/3 miles in 40 minutes or 2/3 hour. Who runs faster
Answers
Answer:✨Samantha✨
Step-by-step explanation:
Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answers
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
Question 2 Which relationship is NOT a function?
Answers
Answer:
Top left optionStep-by-step explanation:
According to definition of the function, each input must have exactly one output.
One of the given relationships - T-shirt prices reveals two outputs.
All the rest show one-to-one relationship.
The flight of javelin released 6.5 feet from the ground at an initial velocity of 68 feet per second is modeled by the function h=-16^2+6.5 where h is the height of the javelin in feet after r seconds . Determine how many seconds it will take the javelin to reach the maximum height and find the maximum height. Round to the nearest hundredth if necessary
Answers
Using the vertex of the quadratic equation, it is found that a maximum height of 78.75 feet is reached after 2.13 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the height is modeled by:
h(t) = -16t² + 68t + 6.5.
The coefficients are a = -16, b = 68, c = 6.5, and the vertex will be given by:
[tex]x_v = -\frac{b}{2a} = -\frac{68}{-32} = 2.13[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a} = -\frac{68^2 - 4(-16)(6.5)}{-64} = 78.75[/tex]
A maximum height of 78.75 feet is reached after 2.13 seconds.
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what is this pls help
Answers
How to calculate grade in class with weighted percentages?.
Answers
Answer:
Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.
Step-by-step explanation: