Answers
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to
[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Related Questions
how much work is done when you lift an object that weighs 150 N to a height of 5 meters
Answers
Answer:
Work done = 150 x 5 = 750 J
Step-by-step explanation:
Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.
The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D
work done (W) is measured in joules (J)
force (F) is measured in newtons (N)
distance (d) is in the same direction as the force and is measured in
metres (m)
W = F x D
w = 150 x 5
W = 750 J
The probability of spinning an odd number, flipping heads and then spinning a 3 is?
Answers
===================================================
Work Shown:
A = probability of landing on an odd number
A = 5/9 because there are 5 odd numbers out of 9 total
B = probability of getting heads
B = 1/2
C = landing on 3 on the spinner
C = 1/9
Multiply the values of A,B,C
A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162
Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%
Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2
Answers
Answer:
-10
Step-by-step explanation:
y-5y+2
=3-5 x 3+2
Using the rule of BODMAS
=3-15+2
=3-13
= -10
OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die
Answers
Answer:
S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36
E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15
Step-by-step explanation:
thats the answer
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answers
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
assssssssssssssssssssssssssssssssss
Answers
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?
Answers
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
8 : 6 <or> 4 : 3
Step-by-step explanation:
8 : 6 <or> 4 : 3
Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.
Find the distance between the points given.
(-3,-4) and (0,0)
Answers
Answer: 5 Units
Step-by-step explanation:
Factorize the following 3x + 12
Answers
Answer:
if this was a equation you would first subtract 12 from the other number then divide it by 3
Answer:
3(x+4)
Step-by-step explanation:
Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answers
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answers
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]If 7x - 4y = 23 and x + y = 8, what is the value of x?
Answers
Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
------------------------
11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
Answer:
[tex]\huge\boxed{x=5}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
Answers
answer is
B. 6√2
hope this helps!
write the expression in expanded form
3h^3(k+3)^2
Answers
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
Anyone know the answer to this?
Answers
Answer:
Diameter : 22.568 cm
Step-by-step explanation:
Hope this Helps!
What’s the answer please.
Answers
Answer:
[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]
Explanation :
is down below in the picture
Please give me brainiest!!
PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠B ≅
A. ∠D
B. ∠A
C. ∠C
D. ∠E
Answers
Answer:
Angle B is congruent to Angle E.
Step-by-step explanation:
Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything
In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.
What is CPCT?
Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.
Since, ΔABC ≅ ΔDEF,
AB = DE
BC = EF
AC = DF
∠A = ∠D
∠B = ∠E
∠C = ∠F
Learn more about CPCT here
https://brainly.com/question/21360865
#SPJ2
What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?
Answers
Answer:
-5, -3
Step-by-step explanation:
what number represents the same amount as 4 tens+0 ones
Answers
4 tens= 10+10+10+10=40
and there’s no one’s so it’s just 40
hope that helped!
whats the answer to this
Answers
Answer:
its the 2nd one
hope that helps<3
Answer:
jhkkkhj
Step-by-step explanation:
jkjkjkjkj
2. The average daily rainfall in London during April was 3.5 mm. How much rain fell during the month?
Answers
Answer:
105mm
Step-by-step explanation:
To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall
Number of days in April: 30
Average daily rainfall: 3.5mm
Rainfall during the month = 30 * 3.5 = 105mm
What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answers
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction
Answers
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................
Ratio Question:
Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.
Answers
Answer:
i dont under stand but i will just ask for help to my father
Step-by-step explanation:
i dont wnow the answer!???
Answer:
Step-by-step explanation:
[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]
[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]
[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]
[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]
[tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]
[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]
Therefore ,
Florence earned $24
Anona earned 24 + 16 = $40
Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32
The button on David's coat has a radius of 4
millimeters. What is the button's diameter?
Answers
Answer:
0.013
I think.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
So there are two things that must be remembered.
The radius is half of the diamater. It is the distance from the side of a circle to its center.
The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.
In this case, we know the radius is 4.
The radius is half of the diamamter, or the diamater is two times the radius.
This can be though of as:
2r=d
Or
1/2d=r
So lets plug 4 in for r:
2*4=d = 8=d
1/2d=4 = 2*1/2=4*2 = 1d=8
So using either of these formulas, we find d is equal to 8.
Hope this helps!
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answers
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
Write the equation of the line that passes through the points (-8,-1) and (−2,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3
Solve for y.
3= y+7 divided by 3
Y=
Answers
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
4 x − 3 x + 2 y (simplify)
Answers
[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of
