Answers
Answer:
21.6 units² (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Area of a trapezoid}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex][tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
a = 2b = 8h = 4r = 2 ÷ 2 = 1[tex]\begin{aligned}\textsf{Area of figure} & =\textsf{area of trapezoid + area of semicircle}\\& = \dfrac{1}{2}(a+b)h+\dfrac{1}{2} \pi r^2\\& = \dfrac{1}{2}(2+8)(4)+\dfrac{1}{2} \pi (1)^2\\& = 20+\dfrac{1}{2} \pi\\& = 21.6\: \sf units^2 \:(nearest\:tenth)\end{aligned}[/tex]
Area of the trapezium
1/2(Sum of parallel sides)×Height1/2(2+8)(4)2(10)20units²Area of semicircle
π(2/2)²/2π/21.57units²Total area
20+1.5721.6units²(Rounded)Related Questions
Nevaeh leans a 22-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundreth of a foot if necessary
Answers
Answer:
19.77 ft
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.
sin 64 = opposite/hypotenuse = height /22
sin 64 = height / 22
22 * sin 64 = height = 19.77 ft
Two runners are saving money to attend a marathon. the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. the second runner has $50 in savings and will save $60 each month. which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 112 – 25m 45 = 50 – 60m 112 25 45m = 50m 60 112 25 – 45m = –50m 60 112 25m 45 = 50 60m
Answers
The equation that we need to solve is:
$157 + $50*m = $50 + $60*m
And the solution is m = 10.7 months.
Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:
f(m) = $157 + $50*m
And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:
g(x) = $50 + $60*m
They will have the same amount of money when:
f(x) = g(x)
$157 + $50*m = $50 + $60*m
$107 = $10*m
$107/$10 = m = 10.7
So, after 10.7 months, both accounts will have the same money.
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Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%
Answers
Answer:
actually its A... i know cause i got it WRONG
Step-by-step explanation:
The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is 76.3%.
What is the gross profit margin?Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.
Gross profit margin = gross profit / net sales
3320 /3320 = 76.3%
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3 to the third power minus 4 to the second power
Answers
Answer:
3^3-4^2=11
Step-by-step explanation:
3^3=27
4^2=16
27-16=11
please please help. Will give brainliest
Answers
2.5 lbs of apples for $3.25 or 35oz for $3.50?
Answers
Answer:
2.5 lbs of apples for $3.25
Step-by-step explanation:
16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.
what is anwer ok ok ok
Answers
Answer:
3: equally likely
4: likely
Step-by-step explanation:
Question 3:
the spinner has 1, 2, 3, 4, 5, 6
2, 4, 6 are all even number which is 3 / 6 = 1 / 2
so half a chance can be odd or half even possibility of landing
Question 4:
- 13 yellow
- 4 green
- 3 blue
total marbles: 13 + 4 + 3 = 20
yellow / total = 13 / 20
which is more than half of the marbles are yellow
the answer equally
Step-by-step explanation:
equally
please help with question
Answers
Answer:
65.8
Step-by-step explanation:
The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.
__
The relation is ...
a/sin(A) = b/sin(B)
Solving for 'a' gives ...
a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)
a ≈ 65.8
Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
Answers
Answer:
I hope this is the whole question
Step-by-step explanation:
Well I can only see one way and it is this...
[tex]\sqrt{27a}[/tex] = [tex]\sqrt{3.3.3.a}[/tex]
= [tex]3\sqrt{3a}[/tex]
I got rid of one perfect-square. I dont think you can do much more.
what is 2.75% of 210,547
Answers
Answer:
5,790.0425
Step-by-step explanation:
Why is Dexter’s claim incorrect? 8-4 Additional practice
Answers
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
What is pragmatics?This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
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which statement is true about the result considering a significance level of 5%?
oA. the result is not statistically significant, which implies that this results could me due to random chance.
oB. The result is statistically significant which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate
oC. The result is not statistically significant which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate
oD. The result is statistically certificate which implies that spraying the corn plants with the new type of fertiliter does increase the growth rate
Answers
If the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is the meaning of significance level?The term significance level has to do with the probability of rejecting the null hypothesis even though it is true.
The significance level tells us if a result is statistically significant. Thus, if the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.'
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A)The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Did the project
Trigonometric Identities:
Verify the identity [tex]\frac{sin(a+b)}{sin(a-b)}[/tex] = [tex]\frac{tan(a)+tan(b)}{tan(a)-tan(b)}[/tex]
Answers
Take RHS
[tex]\\ \rm\Rrightarrow \dfrac{tanA+tanB}{tanA-tanB}[/tex]
tanØ=sinØ/cosØ[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinA}{cosA}+\dfrac{sinB}{cosB}}{\dfrac{sinA}{cosA}-\dfrac{sinB}{cosB}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinAcosB+cosAsinB}{cosAcosB}}{\dfrac{sinAcosB-cosAsinB}{cosAcosB}}[/tex]
cancel cosAcosB[tex]\\ \rm\Rrightarrow \dfrac{sinAcosB+cosAsinB}{sinAcosB-cosAsinB}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{sin(A+B)}{sin(A-B)}[/tex]
Some important identities
[tex]\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]
Answer:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\\\\ \dfrac{\sin A}{\cos A}=\tan A$\\\end{minipage}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)} \times \dfrac{\dfrac{1}{\cos (a) \cos (b)}}{\dfrac{1}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} + \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} - \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a)}{\cos (a)} + \dfrac{\sin (b)}{\cos (b)}}{\dfrac{\sin(a)}{\cos (a)} - \dfrac{\sin (b)}{\cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)}=\dfrac{\tan(a)+\tan(b)}{\tan(a)-\tan(b)}[/tex]
help me pls pls pls pls pls pls
Answers
Answer:
2.25 square inches
Step-by-step explanation:
SOLUTION,
HERE,
AREA OF SQUARE = L²
=(1.5)²
= 2.25 INCHES²
Answer:
2.25 inches
Step-by-step explanation:
The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.
Which statements are true regarding this scenario? check all that apply. the sample space is {1, 2, 3, 4, 5, 6}. the expected value for the game is 0. the expected value for the game is one-half. the game is fair because the expected value is equal to 0. the game is unfair because the expected value does not equal 0.
Answers
Based on the game involving rolling a number cube, the applicable statements are:
The sample space is {1, 2, 3, 4, 5, 6}. The expected value for the game is 0. The game is fair because the expected value is equal to 0.What happens in a game involving rolling a number cube?There are six sides of a number cube which means that the sample space is all the sides the cube can land on which are 1,2,3,4,5, and 6.
Because there are 3 odd numbers which can give you a negative point, and 3 even numbers which can give a point, the expected value is 0 as these cancel each other out.
This makes the game fair because situations that have an expected value of 0 are considered fair because there are no expected losses or profits.
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Answer:
A,C,D
Step-by-step explanation:
short and simple for you ;)
Find the volume and surface area of the figure. Round to the nearest hundredth.
V = ________m^3
S.A. = _______m^2
Answers
Answer:
Step-by-step explanation:
help pleasee!!?? Thank u
Answers
Answer: 9,156.24 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:
r = 9
h = 36
V = π(9)²×36
= 81 × 36 × π
= 2916π
= 9,156.24 ft³
easy question quickly please!!!
Answers
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
HURRY ITS URGENT!!!!
9. If the equation (x+a)?=b has non-real solutions where a and b are real
numbers, which of these must be true?
A b-a is not a perfect square
B.
bis not a perfect square
C. b-aco
D. b <0
Answers
Help!! Which is the best reason why step 1 is a good first step in the solution shown?
Answers
Answer:
Multiplying by 3 isolates x on one side of the equation.
Step-by-step explanation:
When solving an algebraic equation, you want to isolate the variable on
one side of the equation. By isolating the variable, you can see what the
variable is equal to.
Hope it helps, have a fantastic day.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.
Answers
If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.
Its width is 3 and 1/2 in and its height is 77 in.
Then the width of the prism will be
[tex]\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}[/tex]
Then the length of the popcorn box in inches will be
[tex]\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3[/tex]
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Answer: the real answer is 3 inches not 0.3.
Step-by-step explanation:
Formula: V=lwh
You are searching for its length, so if width is 3 1/2 then it will convert to 3.5
V=lwh
75=L(3.5)(7)
=3.02040816
L= 3.0
Your welcome :))
Four friends are planning a party at a skating rink. The friends must pay $3 for
each person attending the party. They will also spend $36 on snacks. If each
friend contributes $21 to the party, what is the maximum number of people that
can attend the party?
16
19
28
48
Answers
Answer:
The answer is 28. It is easy.
A is the center of the circle, solve the following:
(34) x =
(35) y =
Answers
Pasos
(34)x=(35)y=
La ecuación está en formato estándar.
34x=35y
Divide los dos lados por 34.
34
34x
=
34
35y
Al dividir por 34, se deshace la multiplicación por 34.
x=
34
35y
Prove: An odd number squared is an odd number. = (2n + 1)2
Answers
Answer:
[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]
HELP ASAP!!! PLEASE SHOW SOLUTIONS!!
Answers
Answer:
84 ways3,780 numbers3,628,800 waysStep-by-step explanation:
Solving :
Q1
No. of ways to choose 6 from 9 :⁹C₆ = 9! / 6! 3! 9 x 8 x 7 x 6! / 6! x 3 x 23 x 4 x 728 x 384 waysQ2
No. of numbers with distinguishable digits :9! / 4! 2! 2!9 x 8 x 7 x 6 x 5 x 4! / 4! x 2 x 29 x 2 x 7 x 6 x 510 x 63 x 6378 x 103,780 numbersQ3
No. of ways to arrange :10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 290 x 56 x 30 x 245040 x 7203,628,800 waysA cone has a radius of 2 feet and a height of 6 feet. How many cones of liquid would it take to fill a cylinder with a diameter of 4 feet and a height of 6 feet? Complete the explanation. The radius of the cylinder is the same as the radius of the cone. The height of the cylinder is double the height of the cone. So, it will take cones to equal the volume of the cylinder.
Answers
Answer:
17 3/4 feet.
Step-by-step explan
Help me pleaseeee 25 points.
Answers
then take both of those answers and add them together and thats it.
(the two semicircles make one circle so only one calculation is needed for that :)
area of semicircle + area of square + area of semicircle
I think 149.04 in²
I need helppppppp :((
Answers
The value of minor arc, major arc and central angles given below:
What is an arc?An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.
Given: BOF= 126
angle BOF= angle COE= 126 (Vertically opposite angle)
Now,
angle BOF + angle BOC= 180 (Linear pair)
BOC=180-126= 54
and, COE= COD+ DOE
= COD+COD
126 =2COD
COD= 63
now, BOD= BOC++COD
= 54+63
= 117
Arc length of BCD= 87/360*2πr
= 2.041r
2. minor arc:
arc BF= 126/360* 2πr
= 2.198r
arc FE= 54/360*2πr
= 0.942r
arc DE= 63/360*2πr
= 1.099r
arc CD= 63/360*2πr= 1.099r
arc CDE=126/360*2πr
= 2.198 r
3. major arc
arc BFED= 243/360*2πr
= 4.239r
arc FBCD= 243/360*2πr
= 4.239r
arc DCBFE= 297/360*2πr
= 5.181r
arc CBFE= 234/360*2πr
= 4.082r
4. 6 central angles
BOC= 54= FOE
COD=63=DOE
BOF=126
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a. If the swimming pool is 4 feet deep, what is the approximate volume of the swimming pool?
Answers
Answer:
64 ft³
Step-by-step explanation:
given that l = 4 ft
Since a swimming pool is like a cube
:- V= l³
V = 4³
V = 64 ft³
I want help solving Id also like to know how you got the answer for future reference. ♥️
Answers
Answer:
5 seconds and 488 ft
Step-by-step explanation:
(a)
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 ), then
the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = - 16x² + 160x + 88 ← is in standard form
with a = - 16 and b = 160 then
[tex]x_{vertex}[/tex] = - [tex]\frac{160}{-32}[/tex] = 5
the maximum height is at the vertex, the turning point on the graph
then it takes 5 second to reach its maximum height
(b)
to find the maximum height substitute x = 5 into the equation
y = - 16(5)² + 160(5) + 88
= - 16(25) + 800 + 88
= - 400 + 888
= 488
maximum height is 488 ft
