Answer:
The shadow of the windmill will be 24 yards long
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ A bell tower that is 60 yards tall casts a shadow 32 yards long
∴ The tall = 60 yards and the shadow = 32 yards
∵ A windmill is 45 yards tall
∴ The tall = 45 yards
→ By using the ratio method
→ Tall : Shadow
→ 60 : 32
→ 45 : x
→ By using the cross multiplication
∵ x × 60 = 45 × 32
∴ 60x = 1440
→ Divide both sides by 60
∵ \(\frac{60x}{60}=\frac{1440}{60}\)
∴ x = 24
∴ The shadow of the windmill will be 24 yards long
Please help me due in an hour
Answer:
Ok so it would be square root 1
Step-by-step explanation:
Can y'all please help me with this !!!/!/!???......itz all in the pic
Complete all to get brainliest
~thanks~✌
Write the equation for a line that passes through the given points Write the equation in slope- intercept form
. (6,-4), (6,5)
The equation of the line, in slope-intercept form, that passes through the given points, (6,-4) and (6,5) is: x = 6.
How to Write the Equation of a Vertical Line?An vertical line can be written in slope-intercept form as x = a, because the line has no y-intercept and the change in x values in the slope formula is equal to zero.
The value of a in the equation is the point on the x-axis where the vertical line intercept, irrespective of the change in y-values up the line.
Given the line goes through the points, (6, -4) and (6, 5), it means the line is a horizontal line because they both have the same x-value, 6.
Therefore, the value of a is 6. The equation of the line would be x = 6.
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16PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Answer: C
Step-by-step explanation:
For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.
TOA refers to opposite over adjacent, which would be
tan x = 10/18.
Hope this helps!
Mr. Ramirez purchase 20 concert tickets for a total of 225 the concert tickets cost 15 for adults and 10 for children under the age of 12 solve the system equation from part a algebraically
Answer:
c= 15
Step-by-step explanation:
a= # of adults c= # of children
a+c=20
15a + 10c = 225
c= 20-a
substitute 20-a into 15a +10c =225
15a + 10(20-a)= 225
solve for c
hope this helped! :)
Help me with my math pleasee!!
If the transformation is written in the form y = a(x - p)² + q, the values of a, p, and q include the following: a = 2, p = -4, q = 3.
How to determine the equation of a parabola?Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:
y = a(x - h)² + k.
Where:
h and k are the vertex.a represents the leading coefficient.Based on the information provided about the parabola, we have the following:
Scale factor, a = 2.
Vertical translation upward, q = 3.
Horizontal translation to the left, p = -4.
Therefore, the equation becomes;
y = a(x - h)² + k.
y = a(x - (-4))² + 3.
y = a(x + 4)² + 3.
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(ii) Using a calculator, or otherwise, determine the exact value, to one decimal place, of 8792-6886 12 X 9
Answer: I did it in the explanation thingy-
Step-by-step explanation:
Step 1. 8792 - 6886 = 1906
Step 2. 12 x 9 108
That... OR the answer is 205848X
which of the following is equal to sin(300)
Sin(300°) = -√3 / 2 .
Help please. I don't have long lol
Answer:
A
Step-by-step explanation:
Find the volume of the solid generated by rotating the region bounded by y = x^2, y = 0, and x = 1, about the y-axis.
Step-by-step explanation:
To find the volume of this solid, we will use the method of cylindrical shells. We will integrate the cross-sectional area of a cylinder, given by πr^2, over the height of the solid. The height of the solid is given by the difference between the upper and lower bounds of the region, which are y = x^2 and y = 0, respectively. The radius of each cylindrical shell is given by the distance of the cross-sectional circle from the y-axis, which is x.
So, the volume of the solid is given by the integral:
V = ∫[0, 1] π * x^2 dx
Using the antiderivative of π * x^2, which is π * x^3 / 3, we can find the definite integral:
V = (π * x^3)/3 from 0 to 1
Evaluating the definite integral and simplifying, we get:
V = π/3 units^3
So, the volume of the solid is π/3 units^3.
Answer:
Step-by-step explanation:
Find the volume of the solid generated by rotating the region bounded by y = x^2, y = 0, and x = 1, about the y-axis.
The cost y
(in dollars) to rent a kayak is proportional to the number x
of hours that the kayak is rented. It costs $60 to rent the kayak for 4 hours. Write an equation that represents the cost to rent a kayak for x
hours.
Can someone help and please make sure the answer is right! :)
Answer:
x= 8
Step-by-step explanation:
srry i need the points so i can finish my work so i can go to sleep
A 7/9 and 0.7
B9/7 and 0.7
C 7/9 and 0.7
D9/7 and 0.777
Answer:
A
Step-by-step explanation:
7000/9= 777 7/9 and 777.7repeating
Answer is 7/9 and 0.7 repeating
The water slides have 37 temporary employees and 37 permanent employees. What percentage of the employees at the water slides are temporary?
At the water slides, there are a total of 37 temporary employees and 37 permanent employees. To determine the percentage of employees who are temporary, 50% of the employees at the water slides are temporary employees.
The total number of employees at the water slides is the sum of temporary and permanent employees: 37 temporary + 37 permanent = 74 employees.
To find the percentage of temporary employees, we divide the number of temporary employees by the total number of employees and multiply by 100:
Percentage of temporary employees = (Number of temporary employees / Total number of employees) * 100
Plugging in the values:
Percentage of temporary employees = (37 / 74) * 100
Calculating this expression gives us:
Percentage of temporary employees = 0.5 * 100 = 50%
Therefore, 50% of the employees at the water slides are temporary employees.
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URGENT FIND THE POINT OF INTERSECTION.
16x+12y=-12
16x-10y=10
Answer:
(0, -1)
Step-by-step explanation:
hope this helps :)
\(\sqrt[4]1296/25}\)
The simplified value of \(\sqrt[4]{1296} /25\) is 0.24.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given \(\sqrt[4]{1296} /25\)
factors of 1296 are = 2⁴ x 3⁴
\(\sqrt[4]{1296}\) = \((2^{4} *3^{4}) ^{\frac{1}{4} }\)
\(\sqrt[4]{1296}\) = 6
\(\sqrt[4]{1296} /25\) = 6/25
\(\sqrt[4]{1296} /25\) = 0.24
Hence the value is 0.24.
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In ΔQRS, q = 73 inches, r = 40 inches and s=51 inches. Find the measure of ∠S to the nearest degree
Answer:
74 is the correct answer to the question
Answer: 74
Step-by-step explanation:
Find the sum of 4x2 – 7 and 6x2 – 5.
Answer:
the answer is 1 and 7
Step-by-step explanation:
4 times 2 is 8 -7 =1
6 times 2 =12 -5 =7
Answer:
First problem equals 1 and second problem equals 7.
First multiply 4x2 to get 8, then subtract it by 7. That would leave you with 1.
Now, 6x2 would be 12 minus 5 which would equal 7.
What is the acceleration of the moon toward earth due to their mutual attraction the massive earth is 5. 98×10 to the 24th power kilograms the distance between them is 3. 8×10 to the eighth power meters and G equals 6. 673×10 to the -11th power newton meter squared per kilograms squared?
Answer:
2.76×10^-3 m/s²
Step-by-step explanation:
You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².
AccelerationThe acceleration of one body by another is ...
a = GM/r²
where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.
Applicationa = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg
a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²
find the missing angles
Answer:
The new angles are in color
18 is between which 2 integers
Answer:
So, because 18 is between 16 and 25, we know its square root must be between their square roots, that is, between 4 and 5.
Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except length: ; width: 10; height: 3 length: 1; width: 5; height: 7 length: 2; width: 5; height: 3 length: 4; width: 2 ; height: 3
The first and third rectangular prisms have the same volume of 30 cubic units.
The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.
How do we calculate?The volume of each of the rectangular prisms can be calculated as follows:
1. length: 1; width: 10; height: 3
volume = 1 x 10 x 3 = 30
2. length: 5; width: 10; height: 7
volume = 5 x 10 x 7 = 350
3. length: 2; width: 5; height: 3
volume = 2 x 5 x 3 = 30
4. length: 4; width: 2; height: 3
volume = 4 x 2 x 3 = 24
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Convert the number to scientific notation.
299,792,458 meters per second
=
Answer:
2.99792458 × 10∧8 m/s
Step-by-step explanation:
If you want you can shorten the decimal number. m/s means meters per second.
the function f has a continuous derivative. of f(0)=1 f(2)=5 and ∫20 f(x)dx=7 what is ∫20 x⋅f′(x)dx
(A) 3 (B) 6 (C) 10 (D) 17
The value of ∫20 x⋅f′(x)dx is 3, thus the answer is not listed among the options (A) 3, (B) 6, (C) 10, or (D) 17.
To find the value of ∫20 x⋅f′(x)dx, we can use integration by parts. Let's denote F(x) as the antiderivative of f(x), so F'(x) = f(x).
Using integration by parts, we have:
∫ x⋅f′(x)dx = x⋅F(x) - ∫ F(x)dx
Now, we need to evaluate this expression over the interval [0, 2]:
∫20 x⋅f′(x)dx = [x⋅F(x)]20 - ∫20 F(x)dx
Plugging in the given values f(0) = 1 and f(2) = 5, we can determine the expression for x⋅F(x) over the interval [0, 2]:
x⋅F(x) = x⋅[F(x) - F(0)] = x⋅[F(x) - F(0)] = x⋅[∫0x f(t)dt - 1]
Now, let's evaluate the expression:
∫20 x⋅f′(x)dx = [x⋅[∫0x f(t)dt - 1]]20 - ∫20 F(x)dx
Applying the Fundamental Theorem of Calculus, we know that ∫20 F(x)dx = F(2) - F(0).
Therefore:
∫20 x⋅f′(x)dx = [x⋅[∫0x f(t)dt - 1]]20 - (F(2) - F(0))
Now, we are given that ∫20 f(x)dx = 7, so we can rewrite the expression as:
∫20 x⋅f′(x)dx = [x⋅[∫0x f(t)dt - 1]]20 - (F(2) - F(0)) = [x⋅[7 - 1]]20 - (F(2) - F(0))
Simplifying further:
∫20 x⋅f′(x)dx = [x⋅[6]]20 - (F(2) - F(0)) = 6 - (F(2) - F(0))
Now, plugging in the values f(0) = 1 and f(2) = 5, we can evaluate F(2) - F(0):
∫20 x⋅f′(x)dx = 6 - (F(2) - F(0)) = 6 - (5 - 1) = 6 - 4 = 2
Therefore, ∫20 x⋅f′(x)dx equals 2.
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the square root of 4/49
Answer:
\(\frac{2}{7}\)
Step-by-step explanation:
Simplify the numerator and the denominator.
The square root of 4/49 is 2/7.
Given that a fraction 4/49 we need to find the square root of this fraction,
To find the square root of a fraction, you need to find the square root of both the numerator and the denominator separately. Let's apply this to the fraction 4/49.
Step 1: Find the square root of the numerator:
The numerator is 4. Taking the square root of 4 gives us √4 = 2.
Step 2: Find the square root of the denominator:
The denominator is 49. Taking the square root of 49 gives us √49 = 7.
Step 3: Form the new fraction:
The square root of the fraction 4/49 is (√4)/(√49), which is 2/7.
Therefore, the square root of 4/49 is 2/7.
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if v²=u²+2gs, find te value of s when v = 25 , u = 12 and g = 10
The value of s for the given value is 24.05.
Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,
So,
25² = 12² + 2(10)s
625 = 144 + 20s
20s = 481
s = 24.05
Hence the value of s for the given value is 24.05.
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Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
What is the midpoint between (5,-8) and (2,9)
Answer:
(7/2 , 1/2)
Step-by-step explanation:
(5,-8)=(x1,y1)
(2,9)=(x2,y2)
now,
midpoint(x,y)= x1+x2/2 y1+y2/2
5+2/2 -8+9/2
7/2 1/2
therefore the midpoint of these points is(7/2 , 1/2)
Jacob has 1/2 of a container of trail mix. He is filling snack packs that each use about 1/6 of a container. How many snack packs can Jacob make?
Answer:
x = 3
Step-by-step explanation:
Jacob has 1/2 of a container of trail mix.
He is filling snack packs that each use about 1/6 of a container
We need to find the number of snack packs can Jacob make. Let he can make x snack packs.
\(\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3\)
Hence, he can make 3 snack packs.
a) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the tenth of a meter.
(i) What length of fringe is needed?
(ii) One meter of fringe costs $4.70. How much will the fringe cost?
b) A semicircular mat has a diameter of 18 m. What is the area of the mat?