Answer:
Area of the enclosed figure = 3148.74 [tex]m^{2}[/tex]
Step-by-step explanation:
Area enclosed by the figure = 2 x area of the semicircle + area of the square
For the semicircle,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{42}{2}[/tex]
= 21 m
area of a semicircle = [tex]\frac{1}{2}[/tex] x [tex]\pi r^{2}[/tex]
= [tex]\frac{1}{2}[/tex] x 3.14 x [tex](21)^{2}[/tex]
= 692.37 [tex]m^{2}[/tex]
area of a square = length x length
= 42 x 42
= 1764 [tex]m^{2}[/tex]
Thus,
area enclosed by the figure = 2 x 692.37 + 1764
= 3148.74 [tex]m^{2}[/tex]
The total area enclosed bu the figure is 3148.74 [tex]m^{2}[/tex]
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Select the answer that correctly orders the set of numbers from greatest to least. 0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25 B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25 D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25 please help ASAPPP
Answer:
A. 7/14, 2/5, 32%, and .25
differentiate x+sinx/x+cosx with respect to x
Step-by-step explanation:
content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
-3 < n < 1
n is an integer
Write down all the possible values of n
Answer:
n ε{-2,-1,0} with n being integer
PLEASE HELP!!!
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
Here are what they equal in their simplest forms!
Step-by-step explanation:
Sin D & Cos E were originally equal to 13 -/3 over 26
-
Sin E & Cos D were originally equal to 13/26
-
Hope I was able to help!
Answer:
sin D = FE/DE = 13√3 /26 = √3 /2
sin E = DF/DE = 13/26 = ½
(sin E = cos D)
cos D = DF/DE = 13/26 = ½
cos E = EF/DE = 13√3 /26 = √3 /2
(sin D = cos E)
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
Solve for angle F ?
I need help please
Answer:
F = 31
Step-by-step explanation:
70+50=125
180-125=55
the last angle of the triangle is 55.
The last angle of the triangle and the equation make up to 180 so.
55+4f+1=180
F=31
What the slope? Can someone help me
Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Try C it probably is your answer
Q. Which equation describes the line that passes
through the point at (-2, 1) and is perpendicular
to the line y = 1/3x + 5?
Answer:
Step-by-step explanation:
perp. -3
y - 1 = -3(x + 2)
y - 1 = -3x - 6
y = -3x - 5
Find f(-) if f(n) = 5n + 6.
Answer:
f(-1) = 1
Step-by-step explanation:
Are you missing a number after the negative in f(-)?
If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6
so f(-1) = -5 + 6 so f(-1) = 1
the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
Answer:
[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]
Step-by-step explanation:
Given rational expression is,
[tex]\frac{2x^2+5x-14}{x-2}[/tex]
x - 2) 2x² + 5x - 14(2x + 9
2x² - 4x
9x - 14
9x - 18
4
Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.
Please help!! I’m stuck on this
√-4 - 5x = x
A. x = -1 or x = 4
B. x = -1 or x = -4
C. x = 1 or x = -4
D. x = -5 or x = 4/5
E. x = 1 or x = 4
Answer:
B. [tex]x = -4\,\lor \,x = -1[/tex]
Step-by-step explanation:
Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.
1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given
2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality
3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4) [tex](x+4)\cdot (x+1) = 0[/tex] [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]
5) [tex]x = -4\,\lor \,x = -1[/tex] Result
Hence, the correct answer is B.
I know this one is hard but its hard for me. PLEASE HELPP
Answer:
G. <3 and <5 hope this helps
Answer:
G
Step-by-step explanation:
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
Rewrite each expression in factored form using the greatest common factor. 11. 16x+48 12. 28x+ 32y 13. 11w+hw pls help!!!
Answer:
16(x + 3)
4(7x + 8y)
w(11 + h)
Step-by-step explanation:
16x + 48
The greatest common factor of 16 and 48 = 16
Hence, expressing 16x + 48 in factored form:
16x + 48 = 16(x + 3)
28x + 32y
Greatest common factor of 28 and 32 = 4
Hence,
28x + 32y = 4(7x + 8y)
11w + hw
11w + hw = w(11 + h)
Brainly reward!!!!
What's the area of the gray shape?
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32
Answer:
b) 500
16x = (141)^2 - (109)^2
or, 16x = 19881 - 11881
or, x = 8000/16=500
Can someone help me please I will give brainleast just please help me out
Question 5
Flat fee = $6
Question 6
The group should charge $65 for 15 bags of leaves.
Question 7
The relationship between the amount charged and the number of bags filled is linear.
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
To express % as a decimal, move the decimal point ▼ two three one places to the ▼ left right and ▼ leave the number as it is. remove the dollar sign. divide by 100. remove the percent sign.
Question
To express 7.5 % as a decimal, _______, ___________ and remove the percent sign.
▼ move the decimal point [two] [three] [one] places to the [left] [right]
▼ leave the number as it is.
▼ remove the dollar sign.
▼ divide by 100.
Answer:
▼ move the decimal point [two] places to the [left]
▼ divide by 100.
Step-by-step explanation:
Given
[tex]Number = 7.5\%[/tex]
Required
Express as decimal [Select all correct options]
From the list of given options, the correct options are:
▼ move the decimal point [two] places to the [left]
▼ divide by 100.
To prove that the options are correct:
(1)
▼ move the decimal point [two] places to the [left]
7.5% becomes 0.075%
▼ Remove the percent sign
0.075% becomes 0.075
So:
[tex]7.5\% = 0.075[/tex]
(2)
Divide by 100
7.5% when divided by 100 is: 0.075%
Remove the % sign, we have: 0.075
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?
Answer:
2 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
t = 84 / ( 600 × 0.07 ) = 2
t = 2 years
The time required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
at an interest rate of 7% per year
is 2 years.
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin
Answer: The answer is c
Explanation: