Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
The box plots show the basketball scores for two teams.
Answer:
C
Step-by-step explanation: A.P.E.X
A John and Kate share £180 in the ratio
2:3. Work out how much money each person
receives.
Answer:
John's share = £72
Kate's share = £108
Step-by-step explanation:
Given:-
Share amount of John and Kate = £180
Share amount given in ratio = 2:3
Find:-
Work out how much money each person
receives.
Solution:-
Ratio:
John Kate
2 : 3
Add the ratio:
2 + 3 = 5
Divide the total amount from the added ratio:
180 / 5 = 36
Each part of the ratio is 36.
John's amount:
{multiply 36 with 2}
36 × 2 = £72
Kate's amount:
{multiply 36 with 3}
36 × 3 = £108
(CHECK:- £108 + £72 = £180 )
Question 4(Multiple Choice Worth 1 points)
(02.01 LC)
Which of the following does not represent a function?
A
B
C
D
Please help I need this answer right to bring up my grade
Answer:
c i think
Step-by-step explanation:
If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick
Answer:
31°,59°
Step-by-step explanation:
csc (2x+9)=sec(3x+26)
1/sin(2x+9)=1/cos (3x+26)
sin (2x+9)=cos(3x+26)
cos (90-2x-9)=cos(3x+26)
90=3x+26+2x+9
5x+35=90
5x=90-35=55
x=55/5=11
2x+9=2×11+9=31°
3x+26=3×11+26=59°
the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56. How many tons of wood wouod the factory use if it were to use 7 tons of raw materials?
Hurry please!!!
Answer:
2 Tons Wood
Step-by-step explanation:
According To Question,
Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .
And, Factory were to use 7 tons of raw materials .
Thus, if 56 ⇒⇒ 7Tons of Raw Material
So,
16⇒⇒2 Tons of Wood Material .
Jessica is 8 years old. Kayla is 6 years younger than twice Jessica’s age. Which expression represents Kayla’s age?
A. (8*6)-2
B. ( 8*2) -6
C. 8*(6-2)
D. 8* (2-6)
Answer:
B
We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.
Answer:
B. (8*2) -6
Step-by-step explanation:
Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.
8(-3) + (-1) verify the following
Answer:
The answer is - 25
If it is correct then make it brainlist
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{8(-3) + (-1)}[/tex]
[tex]\large\textsf{= 8(-3) - 1}[/tex]
[tex]\large\textsf{8(-3) = \boxed{\large\textsf{\bf -24}}}[/tex]
[tex]\large\textsf{-24 - 1}[/tex]
[tex]\large\textsf{= \underline{\bf -25}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf -25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Does 12, 24, 36 form a right triangle?
Answer:
no bc pythagorean
Step-by-step explanation:
can anyone tell me the solution?
Answer:
[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]
Step-by-step explanation:
[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]
Add -12y to both sides:
[tex]5x+12y-69-12y=10-12y[/tex]
[tex]5x-69=-12y+10[/tex]
Add 69 to both sides:
[tex]5x-69+69=-12y+10+69[/tex]
[tex]5x=-12y+79[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]
[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]
peter collects antique marbles. he has these two boxes full of marbles
Answer:
3 marbles
Step-by-step explanation:
and they have died inside too
Type the correct answer in the box.
Consider the table below.
х у
-3 0.5
-2
1
-1 2.5
0
5
18.5
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and care constants.
Answer:
Step-by-step explanation:
Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:
[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.
[tex]8.5=a(1)^2+b(1)+5[/tex] and
8.5 = a + b + 5 and
3.5 = a + b Hold that thought while we come up with the second equation for this system.
[tex]2.5=a(-1)^2+b(-1)+5[/tex] and
2.5 = a - b + 5 and
-2.5 = a - b Now solve this system using the method of eliination:
a + b = 3.5
+ a - b = -2.5
so
2a = 1 and a = 1/2 Now we can plug that in and solve for b:
a + b = 3.5 becomes
1/2 + b = 3.5 so
b = 3 and the equation is
[tex]y=\frac{1}{2}x^2+3x+5[/tex]
Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth
Sin 38°= ?
Answer:
a
using a calculator u can see the digits that follow.
Answer:
Option A is correct
Step-by-step explanation:
Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....anyone know the answer
Answer:
i have no clue
Step-by-step explanation:
Dr. Cal Coolis wants to determine which of three e-learning packages leads to the most improvement in mathematical ability. Sixty high-achieving students from a local school volunteer to test the software. Twenty randomly chosen students use each package for six months, after which their improvement in mathematical ability is measured and compared. In designing this experiment, Dr. Coolis violated the guiding ethical principle of
Answer: justice
Step-by-step explanation:
The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.
In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.
What are the lengths of AD, DB, AE, and EC? Measure and record them.
Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.
Answer:
a trapezium
Step-by-step explanation:
by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium
The function of g(x) is a transformation of the absolute values parent function which graphs shows g(x)
==============================================================
Explanation:
f(x) is shown in the blue dashed line, while g(x) is a solid black line.
When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.
This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.
The vertex of each V shape is the same and that's at the origin (0,0).
No translations (horizontal or vertical shifting) are occurring.
The graph that shows the function g(x) = 3|x| is graph B.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)
Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.
Hence graph B is correct.
More can be learned about translation click;
brainly.com/question/27950531
#SPJ7
Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference
9514 1404 393
Explanation:
Given:
The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BACangle BAC = α + βProve:
angle BOC = 2×angle BACProof:
∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°
2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°
∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles
(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1
∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides
∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion
7x+2y=39 in slope intercept form
how many whole numbers starting with 1 and ending with 1000 are perfect squares?
Answer:
There are 31 perfect squares between 1 and 1000
Hope it helps❤️
Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?
A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches
========================================================
Explanation:
1 foot = 12 inches
5 feet = 60 inches (multiply both sides by 5)
5 ft, 3 in = 63 inches (add 3 inches to both sides)
Through similar steps, you should find that 4 ft 8 in converts to 56 inches
The difference is 63-56 = 7 inches
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answer:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent
Step-by-step explanation:
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Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
two real solutions
two imaginary solutions
one real solution and one imaginary solution
one real solution
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:
[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
0.16 which number is in the hundreds place
Answer:
A decimal is always placed in this order :
thousands, hundreds, tens, separator, tenths, hundredths, thousandths.
In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.
PLEASE HELP!!!!!
The double box plot below shows the number of daily visitors to two national parks.
Use medians to compare the centers of the data sets.
Which park has greater variability in the number of daily visitors? Show your work.
In general, which park has more daily visitors? Justify your response.
For which park, could you more accurately predict the number of daily visitors on any given day? Explain.
Answer:
Kindly check explanation
Step-by-step explanation:
From the boxplot attached :
Summer lake :
Median = 60 ( point in between the box)
Variability is given by the Range = maximum - minimum = 80 - 40 = 40
Maximum number of visitors = 80
Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day
Canyon Overlook:
Median = 80 ( point in between the box)
Variability is given by the Range = maximum - minimum = 120 - 30 = 90
Maximum number of visitors = 120
Determine the area of a regular pentagon that has a perimeter of 22 cm in the apothem of 3 cm
============================================================
Explanation:
Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.
The base of each triangle is 22/5 = 4.4 cm
The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.
The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.
Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm
Answer:
165
Step-by-step explanation:
The formula for the area of the pentagon is 5/2 × s × a.
5/2×22×3
5/2 × 66/1= 66÷2
=33
33×5=165
How many types of triangles are there?
Answer:
there are 6 type of tryingle hope it helps
Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).
WORKING TOGETHER,MARIO AND MALF CAN PAINT A WALL IN 4 HOURS. WORKING ALONE, MARIO CAN DO THE SAME JOB IN 12 HOURS. HOW LONG IT WILL TAKE MALF TO DO THE JOB ALONE
Answer:
it take 6 hours to do the job its the answer