Answers
Answer: in exact form: 291.5 + 30.25π cm²
correct to 2 decimal places: 386.53 cm²
Step-by-step explanation:
first you find the area of the rectangle:
= length × width
= 53 × 11
= 583 cm²
Next you find the area of the semicircle:
= π × r² (where r is the radius)
= π × (11/2)²
= 30.25π cm²
Then you find the area of the unshaded triangle:
= half × base length × perpendicular height
= 1/2 × 53 × 11
=291.5 cm²
Finally you subtract the unshaded area (the triangle) from the shaded area (not including the semicircle) then add the semicircle to your result.
= 583 (rectangle) - 291.5 (triangle) + 30.25π (semicircle)
= 291.5 + 30.25π
≈ 386.53 cm² (2 decimal places)
Related Questions
Two angles are supplementary. One angle is 184° less than three times the other. Find the measures of the angles.
91°, 89°
96°, 84°
86°, 94°
90°, 86°
Answers
Answer:
91°, 89°Step-by-step explanation:
The sum of suplementary angles is allways 180°
so:
x - the other angle
3x - three times the other angle
180°- x - one angle
180° - x + 184° = 3x
364° = 4x
x = 91°
180°- x = 180° - 91° = 89°
A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses 17 , 15 , 5 , 8 , 20 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Answers
Answer:
13 hours
Step-by-step explanation:
Mean=sum of observations/number of observations
=>17+15+5+8+20/5
=>65/5
=>13
Answer: 14.2
Step-by-step explanation:
The numbers are 17,15,5,8,20, and 20 and to find their mean you need to find their average which their sum divide by the number of values.
17 + 15 + 5 + 8 + 20 + 20 = 85
85 /6 = 14.1666... and rounded to the nearest tenth is 14.2
AC−⇀− bisects ∠BAD.If m∠BAC=38°, find the m∠BAD.
Answers
Answer:
180-38=142 the other angle is 142
Step-by-step explanation:
The value of 7 in 17.92 is
Answers
The value of 7 in 17.92 is in the ones place.
The total bill for a restaurant meal includes the cost of the meal, m, a 5% tax on the
food, and a tip, t. The expression representing the total cost is m + 0.05m + t.
Which expression represents the tax paid on the meal?
Answers
Answer:
Hey there!
The tax paid on the meal is represented by 0.05m.
Let me know if this helps :)
Which of the following options have the same value as 25% of 64?
Answers
Explanation: 25% of 64 is 16
And both options are equal to 16
5(x−6+3x)2−6 where x=2 .
Answers
Answer:
14
Step-by-step explanation:
5(x−6+3x)2−6
10(4x-6)-6
40x-60-6
40x-66
x=2
40*2-66
80-66
14
Ira went to the movies with $35.91 in
his pocket. He paid $12.50 for his
movie ticket, $6.25 for popcorn, and
$3.80 for a drink. How much is left in
his pocket?
Answers
Answer:
$13.36
Step-by-step explanation:
12.5+6.25+3.8=22.55
35.91-22.55= 13.36
3x + 2 - 4x - (-2x)
How did I get my answer
Answers
Add like terms
(3x-4x+(+2x))+2
=2+x
Let's simplify step-by-step.
3x+2−4x−−2x
=3x+2+−4x+2x
Combine Like Terms:
=3x+2+−4x+2x
=(3x+−4x+2x)+(2)
=x+2
Answer:
=x+2
i hope this helps you
5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her
house and her school. Given FG equals (2x) meters, GH = 1,000 meters, and FH equals 1.200 meters, what is z?
Answer:
Answers
Answer:
100 meters
Step-by-step explanation:
Given the following :
Alex house = F
Alex school = H
Alex bus stop = G
FG = 2x meters
GH = 1000meters
FH = 1200 meters
Hence,
FH = FG + GH
1200 = (2x + 1000) meters
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100meters
Hence, x = 100 meters
Simplify the expression (4 + 5i)(4 − 5i). 16 − 20i 16 + 20i −9 41
Answers
Answer:
41
Step-by-step explanation:
Simplify the following:
(5 i + 4) (-5 i + 4)
Hint: | Multiply 4 + 5 i and 4 - 5 i together using FOIL.
(4 + 5 i) (4 - 5 i) = (4) (4) + (4) (-5 i) + (5 i) (4) + (5 i) (-5 i):
4×4 + 4 (-5 i) + 5 i×4 + 5 i (-5 i)
Hint: | Multiply 4 and 4 together.
4×4 = 16:
16 - 5×4 i + 5 i×4 + 5 i (-5)×i
Hint: | Multiply 4 and -5 together.
4 (-5) = -20:
16 + -20 i + 5 i×4 + 5 i (-5)×i
Hint: | Multiply 5 and 4 together.
5×4 = 20:
16 - 20 i + 20 i + 5 i (-5)×i
Hint: | Combine products of like terms.
5 i (-5)×i = 5 i^2 (-5):
16 - 20 i + 20 i + -5×5 i^2
Hint: | Evaluate i^2.
i^2 = -1:
16 - 20 i + 20 i - 5×5×-1
Hint: | Multiply 5 and -1 together.
5 (-1) = -5:
16 - 20 i + 20 i - 5-5
Hint: | Multiply -5 and -5 together.
-5 (-5) = 25:
16 - 20 i + 20 i + 25
Hint: | Evaluate 16 - 20 i + 20 i + 25.
16 - 20 i + 20 i + 25 = 41:
Answer: 41
Answer:
Cant give as good of as answer like the other person but it is 41!
Step-by-step explanation:
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct am so sorry i forgot
Answers
Answer:
communtive property of multiplication
Answer: commutative property ⚡
Step-by-step explanation
dilations please help
Answers
Answer:
C'(2, 1 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of C by [tex]\frac{1}{3}[/tex] , that is
C(6, 3 ) → C'( [tex]\frac{1}{3}[/tex] (6), [tex]\frac{1}{3}[/tex] (3) ) → C'(2, 1 )
Point Mis on line segment LN. Given LN = 9, MN = 4x, and LM = 52,
determine the numerical length of MN.
Answer: MN =
Answers
Answer:
Step-by-step explanation:
9 + 4x = 52
4x = 43
x = 10.75
4(10.75) = 43
Solve one point -x+2=-3x+18
Answers
Answer:
x=8
Step-by-step explanation:
-x+2=-3x+18
=>-x+3x=18-2
=>2x=16
=>x=16/2
=>x=8
Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4
Answers
Answer:
a. ¼
(Below is the Screenshot on EdgeCourseware)
1/4 must be added to the given expression to make it a perfect-square trinomial.
The given expression is x²+x.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Add 1/4 to the given expression, we get
x²+x+1/4
= x²+x+(1/2)²
= (x+1/2)²
Verification:
x²+2.x.1/2+1/4
= x²+x+1/4
Therefore, 1/4 must be added to the given expression to make it a perfect-square trinomial.
To learn more about an expression visit:
https://brainly.com/question/14083225.
#SPJ2
Enter the fraction 1/5 as a decimal
Answers
Answer:
.2
Step-by-step explanation:
do 1 divided into 5 in long division.
you will end up with .2
Answer:
1/5 = 0.2
U have to divide 5 ÷ 1...long division
Hope it helped u if yes mark me BRAINLIEST
PLLLLZZZZZ HELPP ASAP
Answers
Answer:
option first cause
-2(y-5)= 3y+10-5y
-2y+10=-2y+10
Step-by-step explanation:
If RT 36 find the value of x
Answers
Answer:
the answer is 36Step-by-step explanation:
RTLM+x=36
if this figure is reflected across the x-axis, what is the orientation of the reflected figure?
Answers
If f(x) = 4x + 2 and g(x) = x2 + 7, find each value:
1. f(4)
2. f(-2)
Answers
F(4)=4(4)+2=10
G(4)= (4)2+7=15
2. replace x by -2
F(x)=4(-2)+2= -6
G(x)= (-2)2+7= 3
Please give me brainliest!
-5=-2/9x
I dont know the answer
Answers
x=22.5 / x=45/2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = \frac{2}{45} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 5 = \frac{ - 2}{9x} }[/tex]
Apply cross product property
[tex] \dashrightarrow{ \sf{ - 5 \times 9x = - 2}}[/tex]
[tex] \dashrightarrow{ \sf{ - 45x = - 2}}[/tex]
Divide both sides by -45
[tex] \dashrightarrow{ \sf{ \frac{ - 45x}{ - 45} = \frac{ - 2}{ - 45} }}[/tex]
[tex] \dashrightarrow{ \sf{x = \frac{2}{45} }}[/tex]
Hope I helped!
Best regards! :D
Select the graph that shows the correct sum.
Answers
Step-by-step explanation:
no graphs included. need photos or words to answer.
Answer: Its B (FtG)(x)
Step-by-step explanation:
Mr. and Mrs. Tournas know that their son will attend a college, in 14 years, that they estimate to cost approximately $250,000. How much should they deposit now if they assume that they can earn 8.5% compounded annually?
a) $72,083.41
b) $76,055.32
c) $75,450.20
d) $79,785.45
Answers
Answer: D
Step-by-step explanation:
We will try it to determine how much the need to save using the exponential function. In an exponential function,we need the start up amount and the common difference.
We know that the common difference is is 1.085 because if they will earn 8.5% interest plus 100% .
So 1.085 raised to the number of years times a number has to equal 250,000
x * 1.085^14 = 250,000 now solve for x
3.13340357495x = 250,000
x = 79785.44544 Rounded to the nearest cent is $79785.45
Need help, numbers scare me lol pls help
Answers
Answer:
none are a solution
Step-by-step explanation:
9. 2=2·3 10. 6=2·-1 11.-14=2·-1.5
2=6 6=-2 -14=-3
WRONG WRONG WRONG
(3,2) (-1,6) (1.5,-14)
Given equation:y=2x+4
what are LOGARITHMS...???
Answers
Step-by-step explanation:
A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. ... Logarithms even describe how humans instinctively think about numbers.
Answer:
A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Just as an exponential function has three parts, a logarithm has three parts. The three parts of a logarithm are a base, an argument (also called power) and an answer.
Step-by-step explanation:
what is the trick to solving any math word problem?
Answers
Answer:
by memories the formula and practice questions
Answer:
Break it down
Take it slow
Step-by-step explanation:
By taking apart the information given, you can decide what information is useful and what isn't.
Don't rush this process. If you try and rush through math, you will likely make a mistake.
Janelle subtracts -4 from a number the result is 2 what is the number
Answers
Answer:
6
Step-by-step explanation:
Unknown number = x
So,
x - 4 = 2 (add 4 to both sides)
x - 4 + 4 = 2 + 4
x = 6
the file is attached and those are the question. i will give brainliest
Answers
how many pounds are in 5 kg
11.025 pounds
15.435 pounds
15.876 pounds
24.255 pounds
Answers
Answer:
11.025 pounds are in 5kg
Ur answer is a ur welcome