Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² × [tex]\frac{60}{360}[/tex]
= π × 18² × [tex]\frac{1}{6}[/tex]
= 324π × [tex]\frac{1}{6}[/tex] = 54π in²
area of Δ ABC = [tex]\frac{1}{2}[/tex] × 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
-y + 9x = 0 Direct and inverse variation. constant of variation (k)
this what teacher explain to us
Amy had $28 dollar’s to spend on school supplies. After buying 7 pens, she had $20.30 left. How much did each pen cost including tax?
Answer:
Step-by-step explanation:
If Amy started with 28 dollars and bought 7 pens, then had 20.30 dollars, we can subtract to find the price of all 7 pens.
28-20.30=7.70 dollars
now to find the amount for EACH pen, we divide by 7
7.70/7=1.1
each pen costed Amy 1 dollar and 10 cents with tax
Answer:
$1.10
Step-by-step explanation:
$28-$20.30=$7.70
7.70 divided by 7= 1.10
so each pen must cost $1.10
Helppp look at photo will mark brainliest
Answer:
C) 12.5
The length of BC = 12.5cm
Step-by-step explanation:
Step(i):-
Given that ΔABC
Given that AB = 15cm and ∠A = 40°
we will use trigonometric function
[tex]tan x = \frac{oppositeside}{adjacentside}[/tex]
[tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]
Step(ii):-
we know that tan40° = 0.83909
[tex]tan 40^{0} = \frac{BC}{15}[/tex]
BC = 15 × tan 40°
BC = 12.58649
BC = 12.5cm
Final answer:-
The length of BC = 12.5cm
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a one?
Answer:
yes
Step-by-step explanation:
What should we find in order to determine how many square feet of plywood are needed to make a rectangular prism
Answer:
surface area
Step-by-step explanation:
A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.
In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.
The total surface area of a rectangular prism can be found out by the formula :
A = 2 (hl + lw + wh)
where, h = height of the rectangular prism
l = length of the rectangular prism
w = width of the rectangular prism
Ayo can y’all pls come up with a 4th grade math problem and then answer it
Answer:
-8 x -3 = 24.
Step-by-step explanation:
When to negatives are multiplied, they automatically become positive. Therefore, 8 x 3 = 24.
Answer:
(8x7)\2 + x =5
Step-by-step explanation:
8x7= 56 \2 28+x= 33
choices;
a) 21.8°
b) 35.2°
c) 45.1°
Answer:
[tex] \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} [/tex]
Step-by-step explanation:
we are given opposite and adjacent
we want to figure out x°
remember that,
[tex] \displaystyle \: \tan( \theta) = \frac{opp}{adj} [/tex]
where our opp is 5 and adj is 12.5
let [tex]\theta[/tex] be x°
so
[tex] \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} [/tex]
[tex] \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)[/tex]
by using calculator
[tex] \displaystyle \: {x}^{ \circ} = 21.8[/tex]
hence,
our answer is a
What value of x is the solution to 2.5x =8?
Answer:
x=3.2
Step-by-step explanation:
2.5x=8
divide both sides by 2.5
x=3.2
Answer:
x = 3.2
Step-by-step explanation:
[tex]2.5x = 8[/tex]
[tex]2.5x - 2.5 = 8 \div 2.5[/tex]
[tex]x = 8 \div 2.5[/tex]
[tex]x = 3.2[/tex]
A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
N
Point A has coordinates (3, 2)
YA
B (27, 30)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.
Answer:
(13, 16)
Step-by-step explanation:
Point A has coordinates (3,2) Point b has the coordinates (27,30)
Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit
The length of the square = 28 unit / 4 square = 7 unit
Also, half of the height of the diagram = 28/2 = 14 unit
Therefore the x coordinate is given by:
27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13
Also, the y coordinate is given by:
30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16
Therefore the coordinate for point C is given by (13, 16)
hope it help :)
Jace recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Eighth Grade Students Instrument # of Students Instrument # of Students 11 Guitar 13 14 Guitar Bass Drums Keyboard Bass Drums Keyboard 13 8 14 3 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than bass as a percent to the nearest whole number.
please answer , I have no idea how to do this
Using the table, it is found that there is a 77% probability that a seventh grader chosen at random will play an instrument other than bass.
-----------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.The table is given at the end of this question.From the table:
There are 12 + 10 + 9 + 12 = 43 7th grade students.Of those, 33 play an instrument other than the bass.Then:
[tex]p = \frac{33}{43} = 0.77[/tex]
0.77 = 77% probability that a seventh grader chosen at random will play an instrument other than bass.
A similar problem is given at https://brainly.com/question/22203443
Steve is standing on level ground 700 feet from the base of the Washington Mounument.The monument is 555 feet tall
Step-by-step explanation:
(Steve's distance from the tip of the monument I'm assuming?)
ans: about 893.92 ft (√798,025)
a²+b²=c²
a=700
b=555
Can someone please help!! I’m stuck on this question
Answer:
-12
Step-by-step explanation:
Farenheit is on the x-axis (horizontal) so you go to 10, then find the celsius which is on the y-axis (vertical) and the line is around -12. Hope this helps!
Eli has 8 black pens and 5 blue pens in his desk drawer. he also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter. Brainliest for most helpful answer.
I will ban you if you use bit. ly
QUICK, IF YOU ANSWER THIS I WILL MARK YOU AS BRANIEST.
WHAT IS 2+2=?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
A veterinarlan treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. 24,3,29, 24,8, 38,62 Find the range of the data set.
Please help me ASAP!!!
See pic attached
Answer:a*b=b*a
hence verified
Name each polynomial based on its degree and number of terms.
-2xy^2
Answer:
Degree: 3
Number of terms: 1
Step-by-step explanation:
The exponent on x is 1. The exponent on y is 2.
1 + 2 = 3
Degree: 3
Number of terms: 1
Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?
Answer:
exterior angle is equal to the sum of two interior opposite angle
?=53+53=106°
missing exterior angle =106°
The measure of the exterior angle is 106°.
What is an exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.
Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,
Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.
Therefore,
53° + 53° = x
x = 106°
Hence, the exterior angle is 106°
Learn more about exterior angles, click;
https://brainly.com/question/28835566
#SPJ2
Out of a group of 20 volunteers, 11 people are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample in this situation?
Answer:
11 persons chosen to participate in the survey
Step-by-step explanation:
A certain fraction or percentage of subjects or persons drawn randomly from a larger population is called a sample. A randomly selected set of sample will be representative of the population especially when it is impossible for the whole population to participate in the study. In the scenario above, the population or larger group would be the set of volunteers. The actual number of people chosen from the group of volunteers to participate in the survey is the sample, which are the 11 people chosen from the volunteers.
Help me, please ❤️❤️
Answer:
thx for the points
Step-by-step explanation:
u
Part A: To the nearest tenth of an inch, what was the circumference of the circular pie before the slice was
cut out?
Part B: To the nearest inch, what was the area of the circular pie before the slice was cut out?
Part C: To the nearest tenth of an inch, what is the area of the slice of pie that was cut out?
Part D: To the nearest inch, what is the length of the curst for the slice of pie that was cut out?
Next Question
Question 1 of 2
Answer:
Part A
The circumference of the circular pie before the slice was cut out is approximately 69.1 inches
Part B; The area of the circular pie before the slice was cut out is approximately 380 in.²
Part C
The area of the slice of pie that was cut out in approximately 40 in.²
Part D;
The length of the crust for the slice of pie is approximately 7 inches
Step-by-step explanation:
Part A
The shape of the pie = Circular shape
The radius of the pie, r = 11 inches
The circumference of a circle = 2·π·r
Therefore, we have;
The circumference of the circular pie before the slice was cut out, 'C', is given as follows;
Where;
r = 2 inches
C = 2 × π × 11 inches = 22·π inches ≈ 69.115 inches
The initial circumference of the circular, C ≈ 69.115 inches
To the nearest tenth of an inch, we have;
The initial circumference of the circular, C ≈ 69.1 inches
Part B; The area of a circle, A = π·r²
Therefore;
For the circular pie before the slice was cut out, A = π·(11 in.)² ≈ 380.133 in.²
To the nearest square inch, we have;
The area of the circular pie before the slice was cut out, A ≈ 380 in.²
Part C
The area of the slice of the pie that was cut out, A is given by the area of a sector of a circle as follows;
[tex]The \ area \ of \ a \ sector, A = \dfrac{\theta}{360 ^{\circ}} \times \pi \cdot r^2[/tex]
The angle of the sector formed by the slice of pie that was cut out, θ = 38°
Therefore, the area of the slice of pie that was cut out, 'A', to the nearest tenth of a square inch is given as follows;
A = 38/360 × π × (11 in.²) = 40 in.²
The area of the slice of pie that was cut out, A = 40 in.²
Part D;
The length of the crust of the slice of pie that was cut out is given by the arc length of the sector of the circular pie the slice of pie represent as follows;
[tex]Arc \ length = \dfrac{\theta}{360 ^{\circ}} \times 2\cdot \pi \cdot r[/tex]
Therefore for the slice of pie, to the nearest inch, we have;
[tex]Arc \ length = \dfrac{38 ^{\circ}}{360 ^{\circ}} \times 2\times \pi \times 11 \, in. \approx 7 \, in.[/tex]
The length of the crust for the slice of pie ≈ 7 in.
Plz help... 50 points and brainliest for correct answers
Step-by-step explanation:
Hi,
For the first screenshot, your answer will be...
A) 1/10 + 1/4 ≤ 1
And for the second screenshot, your answer will be...
A) d ≤ -1/2n + 5
I hope this helps :)
Which of the following numbers is a perfect square
484
485
489
490
Answer:
484
Step-by-step explanation:
484=22^2
Ill mark brainliest if right! Which could NOT be side lengths of a parallelogram?
A. 2 yd, 2 yd, 2 yd, 2 yd
B. 3 cm, 2 cm, 2 cm, 3 cm
C. 4 m, 3 m, 4 m, 4 m
D. 5 in., 5 in., 3 in., 3 in.
Answer:
C: 4m, 3m, 4m, 4m
Step-by-step explanation:
The opposite sides of a parallelogram have to be congruent. Since one side is 3m, the quadrilateral is not a parallelogram.
In circle G with m_FGH = 60 and FG = 19 units, find the length of arc FH.
Round to the nearest hundredth.
FH
Answer:
m j ubhyb8yvtucvyrrd86rfutiy
Step-by-step explanation:
1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake
Answer:
Step 3 contains error.
Step-by-step explanation:
The given equation is :
[tex]\dfrac{1}{4}(\dfrac{1}{3}k+9)=6[/tex]
Step 1.
Cross multiplying,
[tex](\dfrac{1}{3}k+9)=24[/tex]
Step 2.
Subtract 9 from both sides
[tex]\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15[/tex]
Step 3.
Cross multiplying
[tex]k=15\times 3\\\\k=45[/tex]
So, there is an error in step 3. The correct answer should be 45.
what is 56 squared minus 7 intervuled
Answer: 12
Step-by-step explanation:
Please help ASAP. No links for an answer please or I will report you'8th grade
Answer:
2.389 × 10^5
Step-by-step explanation:
the coefficient must be between 1 to 10
katie wants to buy a watermelon from the store if the watermelon costs $1.20 per kilogram and the watermelon weighs 6 kilograms how much money will katie spend on the watermelon?
Answer:
p=0.60w
Step-by-step explanation:
Let
p ----> the price of a watermelon in dollars
w ---> the weight of a watermelon in pounds
In this problem we have a proportional relationship
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
p=kw
The value of the constant of proportionality k is the same that the unit rate
Find out the unit rate
Divide the total cost by the total weight
k=4.38/7.3=0.60per lb
substitute in the equation
p=0.60w
Step-by-step explanation:
brainliest?
1) Matthew can run 1/5 of a mile in 1/3 of an hour. What is the unit rate?
Answer:
3/5 mile/h
Step-by-step explanation:
velocity = distance / time
then 1/5 / 1/3 = 1/5 * 3/1 = 3/5