Answer:
Volume= 540 ft^3
Step-by-step explanation:
Since volume= length times Width times height, you do 3 times 6 times 30= 540 ft^cubed.
The church steeple is a frustum, and the volume of the church steeple is 107.5 ft³
How to determine the volume of the steeple?The given parameters are:
Height, h = 30 feetBase length, L = 3 feetTop length, l = 6 inchesCalculate the base area:
A₁ = L²
This gives
A₁ = (3 ft)²
A₁ = 9 ft²
Calculate the top area:
A₂ = l²
This gives
A₂ = (6 in)²
Express inches as feet
A₂ = (6/12 ft)²
A₂ = (0.5 ft)²
Evaluate the square
A₂ = 0.25 ft²
The volume of the church steeple is then calculated using:
[tex]V = \frac h3 * (A_1 + A_2 + \sqrt{A_1 * A_2})[/tex]
This gives
[tex]V = \frac {30}3 * (9 + 0.25 + \sqrt{9 * 0.25})[/tex]
Evaluate the product, the sum and the quotient
[tex]V = 10 * (9.25 + \sqrt{2.25})[/tex]
Evaluate the exponent
[tex]V = 10 * (9.25 + 1.5)[/tex]
Evaluate the product
V = 107.5
Hence, the volume of the church steeple is 107.5 ft³
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(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
The table below shows the average SAT math scores from 1993-2002
Year
1993
1994
1995
1996
1997
1998
1999
2000
SAT math scores
503
504
1506
508
1511
512
511
1514
Using the data from the table determine if there is a linear trend between the year and the average SAT math scores and
determine if there is an exact linear fit of the data. Describe the linear trend if there is one
a Positive linear trend an exact linear fit.
b. Positive linear trend, not an exact linear fit.
C Negative linear trend, not an exact linear fit
Answer:
Its B
Step-by-step explanation:
Based on the data from the table, there is a B. positive linear trend, not an exact linear fit.
What is a trend line?A trend line is also known as a line of best fit and it can be defined as a statistical tool which is commonly used in conjunction with a scatter plot, in order to determine whether or not there's any form of correlation (either positive or negative) between a given data.
Based on the data provided in the table above, we can infer and logically deduce that there is a positive linear trend, but not an exact linear fit.
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Please help asap 20 pts for the correct answer with correct explanation!
Answer:
42The rule is to multiply by 6.
[tex]-5 \times 6=-30\\0 \times 6=0\\7 \times 6=42[/tex]
What is the greatest common monomial factor of: 44k^5 - 66k^4 + 77k^3?
Answer:
11k^3 (4k^2 - 6k +7)
Hope this helps :)
A taxi charges a $2 fee
Multiple choice please help
Answer:
d
Step-by-step explanation:
Let m = number of miles.
Each mile costs $2.35, so m miles cost 2.35m.
The flat fee is $2.
The total cost is
2.35m + 2
He can spend no more than $47, so he can spend $47 or less,
2.35m + 2 <= 47
Answer: d
Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths
Answer:
Tangent B = eight-sixths
Step-by-step explanation:
Data
AB: 6 unitsAC: 8 unitsFrom tangent definition:
tan(β) = opposite/adjacent
where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.
In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:
tan(B) = AC/AB
tan(B) = 8/6
Answer:
B is the correct option here
Step-by-step explanation:
hope that this helps. Peace and love
SELECT ALL THAT APPLY
Which equations could you use to solve the following problem?
Seventy-eight is 55% of what number?
1. 78 = (0.55)w
2. p = (0.85)78
3. x/78 = 55/100
4. 78/x = 55/100
Answer:
The answer I THINK was the best is the fourth one !
Step-by-step explanation:
I think because before you calculate, you have To put 78 / with an x because you still don't know what is the number !
And after you have To equal this with 55/100 To know the answer !
I hope i helped you !
Answer:
the first one and last one.
Step-by-step explanation:
i had he same question!!! hope this helps
Pls help don’t know how to do this one
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
Please answer if you know
5y^2 - 2 = 3y
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes?
Answer:
In the picture attached, the graph is shown.
Step-by-step explanation:
No options are provided, so I made the graph.
The equation V = 4 + 2t, is the equation of a line with slope = 2 and y-intercept = 4.
To make a graph, mark some points is helpful. The next points are included in the graph:
t V
0 4 + 2(0) = 4
1 4 + 2(1) = 6
2 4 + 2(2) = 8
3 4 + 2(3) = 10
4 4 + 2(4) = 12
5 4 + 2(5) = 14
6 4 + 2(6) = 16
Answer:
C
Step-by-step explanation:
It's strawberry season, so Monica wants to make strawberry jam. She buys all of the strawberries left at her local town market for a total of $25.50. If the strawberries cost $4.25 per quart, how many quarts does she buy?
Answer:
6
Step-by-step explanation:
25.5/4.25= 6
Answer: 6
Step-by-step explanation:
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
For what values of the variables are the following expressions defined? 18/y
Answer:
y ≠ 0
Step-by-step explanation:
y ≠ 0
to determine a rational number, the denominator must not be zero.
The values of the variable 18/y are defined for all the values of y, such that y is the element of real numbers (R), y ≠ 0
What is a function?A function is defined as the relationship between a specific set of inputs assigned to one output each.
In order to determine if a function is defined, we need to determine the values that make the function undefined and eliminate it.
From the given information:
The value that makes 18/y undefined is any value that makes y = 0Therefore, we can conclude that 18/y is defined for all the values of y, such that y is the element of real numbers (R), y ≠ 0
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What is the end behavior of the function f(x)=54x3? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞
Answer:
As x→∞, f(x)→∞ is correct, also As x→−∞, f(x)→−∞.
Step-by-step explanation:
This function is a simple modification of the basic function y = x^3, which goes to infinity in Quadrant I as x increases, and to negative infinity in Quadrant II as x decreases. As x→∞, f(x)→∞ is correct, also As x→−∞, f(x)→−∞.
The same end behavior applies to f(x) = 54x^3.
Find the surface area of the rectangular prism.
7 km
5 km
3 km
Answer:
142 km^3
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(7*5+3*5+3*7)
A=142
Answer:
[tex]142km^{2}[/tex]
Step-by-step explanation:
you need to find the area of every side and then add them all together so
you do the equation
[tex]2[(7*5)+(3*5) + (7*3)][/tex]
I multiply everything by 2 because there is 2 of every side
once you solve this you get the answer of [tex]142km^{2}[/tex]
ray ML and MN are perpendicular. ray MP ia an angel bisector. find the value of x .
Answer: x = 15
Step-by-step explanation:
First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.
90 = 2x + 4x
90 = 6x
[tex]\frac{90}{6}[/tex] = [tex]\frac{6x}{6}[/tex]
15 = x
Therefore, the x is 15.
Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?
Answer:
B. and D.
Step-by-step explanation:
We have that an equilateral triangle is a regular polygon, that is to say, it has its three equal sides.In traditional Euclidean geometry, the equilateral triangles are also equiangular, that is, the three interior angles are equal and measure 60 °. By symmetry of the equilateral triangle, we have to:
Any two equilateral triangles are similarly congruent, therefore:
B. Two segments that are both congruent to a third segment must be congruent to each other
and D. All of the radio of a circle are congruent, are the correct answers.
PLLSSSS HELP
Absolute value function with a slope of + 4/5 flipped over x-axis, moved 2 left and up 6. Can someone pls tell me how to write this formula?
Answer:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3:Solve for the unknown in both equations.
Step 4:Check your answer analytically or graphically.
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
The sum of all digits in the numbers 44, 45, and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
Answer:
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127
Step-by-step explanation:
The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 2 + 5 = 127
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.
Calculate the
portion for walking
in degrees.
[?]°
Sport
Soccer
Jogging
Walking
Skiing
Football
Total
Hrs
5
20
10
5
10
50
10 hrs.
Total Sport Hours
Answer:
110
Step-by-step explanation:
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?
Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…
Step-by-step explanation:
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Answer:
D) 0
Step-by-step explanation:
In a ║gm, opposite sides are parallel and equal.
So,
RS = UT
=> x+5 = 2x+5
=> 2x-x = 5-5
=> 2x = 0
=> x = 0
Answer:
Step-by-step explanation:
i think 0
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU PLEASE D:
Answer:
[tex]30\%[/tex]
Step-by-step explanation:
There are 6 blocks shaded out of 20.
[tex]6/20=3/10=30\%[/tex]
Calculate the area of this trapezium
Answer:
72 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 6 , a = 15, b = 9 , thus
A = [tex]\frac{1}{2}[/tex] × 6 × (15 + 9) = 3 × 24 = 72 cm²
Answer:
= 72 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (9cm + 15cm)×6cm/2
= 24cm×3cm
= 72 cm²
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
Given the polynomial function below, find F(-9).
F(x) = -x2 - 10x-2
O A. -173
O B. -11
O C. 7
O D. 169
Answer:
C. 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = -x² - 10x - 2
F(-9) is x = -9
Step 2: Evaluate
Substitute: F(-9) = -(-9)² - 10(-9) - 2Exponents: F(-9) = -(81) + 90 - 2Simplify: F(-9) = -81 + 90 - 2Add: F(-9) = 9 - 2Subtract: F(-9) = 7Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (-5, -7) and parallel to the line whose equation is y = - 4x + 4
Write an equation for the line in point-slope form.
Write an equation for the line in slope-intercept form.
Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
Answer:
d=6t
Step-by-step explanation:
Divide 72 by 12 to know how much distance is traveled in every second.
So he travels 6 meters every second
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92