The volume of the given figure is 750 in.
Given
Base =30in
Height = 8in
Side = 15
Side = 17
Required to calculate the volume of the given figure
Volume = Base x Height + 2 side x side (there are two rectangle)
= 30 x 8 + 2 x 15 x 17
= 750
The region that a 2D shape covers in an area versus the space a 3D shape occupies is the main distinction between area and volume. Geometry is filled with a wide variety of shapes and sizes.
A mass is a solid body or an assortment of distinguishable visual components that together make a solid form, such as lines, colors, textures, etc. Length, width, and depth make up the three dimensions of volume.
Thus, the volume of the given figure is 750.
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Please answer!!!!!!!!!!!!!
The decimal 0.016 is equivalent to what percent?
Answer:
the answer is 1.6%
Step-by-step explanation:
0.016 × 100/100 =
0.016 × 100% =
(0.016 × 100)% =
1.6%
hope this helps : )
Answer:
\(1.6\%\)
Step-by-step explanation:
\(0.016 = \frac{16}{1000} \)
let's write this fraction as a percentage
\( \frac{16}{1000} \times 100\% \\ = 1.6\%\)
hope this helps
brainliest appreciated
good luck! have a nice day!
<1 and <5 are ___ angles.
right
vertical
alternate interior
corresponding
angles.
Answer:
corresponding
Step-by-step explanation:
<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m
Help me with the e or how many you can
Please afsp
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
What is the equation of a line that is parallel to -x + 3y = 6 and passes through the
point (3, 5)?
1.y=1/3x + 4
2.y = 3x + 4
3.y = -1/3x-4
4.y = -3x - 4
Answer:
Two lines are parallel if and only if they have the same slope.therefore the original line y=1/3x+2
so option 1 is the answer
A store charges customers $85 for a video game. This is 170% of what the store paid for the game.
can anyone help a girl out?
Answer:
I think it is $59.5
Step-by-step explanation:
Hope this helped have an amazing day!
I NEED HELP FAST!!!!!!
Answer:
6.
Step-by-step explanation:
.
Answer:
\(C)\:8\)
8 units tiles must be added
--------------------------------------
~HOPE IT HELPS~
~HAVE A GREAT DAY!!~
Gino is buying wood screws at the corner hardware store. The table shows different numbers of bags of screws and their corresponding prices
Find the slope of the line that passes through (9, 6) and (6, 2).
Answer:
4/3 not sure
i hope its hepls
Answer:
y2 - y1/ x2 - x1
6 - 6/2 - 6 = 0/-4 = 0
Step-by-step explanation:
Suppose a plumber charges $80 for a house call and $60 for each hour it takes him to complete the repair. Write an equation in slope-intercept form to represent this situation.
Answer:
80 + 60x
Step-by-step explanation:
Interest of 3 million dollars 100% and 50 years please help
Answer:
$3,377,699,720,527,868,854,272
Step-by-step explanation:
Hope this helps
Answer:
$3,377,699,720,527,868,854,272
Step-by-step explanation:
Hope this helps
Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
Find the unknown 9,006-7,474?
Answer:
1532
Step-by-step explanation:
Answer:
9006-7417= 1532
do you know how to work it out?
determine the inclination of the following straight line
1. y=x+3 2) 3x-2y = 6
The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.
To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.
The inclination represents the ratio of how much y changes with respect to x.
Equation: y = x + 3
In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.
This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.
Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.
Equation: 3x - 2y = 6
To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.
First, isolate y:
-2y = -3x + 6
Divide the entire equation by -2 to solve for y:
y = (3/2)x - 3
Now we can observe that the coefficient of x is 3/2.
This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.
The inclination can be expressed as 3/2.
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what is the inverse operation of add 5 ?
Answer:
Step-by-step explanation:
Subtract 5
Answer:
Example: Addition and subtraction are inverse operations
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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What is the area of △STU rounded to the nearest tenth?
Answer:
38.7 units²
Step-by-step explanation:
4.6/SV = SV/8.1
SV² = 37.26
SV = 6.1
area = 1/2(8.1)(6.1) + 1/2(4.6)(6.1) = 38.7 units²
if someone walks 2/3 in 12 minutes how far can they walk in 30 minutes
Answer:
A walking speed of 3 to 4 miles per hour is typical for most people. However, this can vary based on many factors including your fitness level, overall health, and age.
Step-by-step explanation:
Which histogram correctly displays the information above
Answer: The answer is c
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Solve
Solve
a cylinder of radius r cm and height h cm has a curved surface area A cm\( {}^{2} \), where\(A = 2\pi rh.\)
a) obtain a formula for h
b) find the value of h when A = 93 ,R = 2.5 and \(\pi\)= 3.1
A cylinder of radius r cm and height h cm has a curved surface area A cm². Where –
A = 2πrh cm²a) We are asked to find formula for h.
\(\qquad\)\(\purple{ \bf \longrightarrow A=2 \pi rh }\)
First, overturn the equation
\(\qquad\)\( \sf \longrightarrow 2 \pi rh =A\)
Divide both sides by 2πr
\(\qquad\)\( \sf \longrightarrow \dfrac{2\pi rh}{2\pi r } = \dfrac{A}{2\pi r}\)
\(\qquad\)\( \sf \longrightarrow \dfrac{\cancel{2 \pi r }h}{\cancel{2\pi r} } = \dfrac{A}{2\pi r}\)
\(\qquad\)\( \purple{\bf \longrightarrow h = \dfrac{A}{2 \pi r }}\)
b) Again, we are given –
Curved surface area, A = 93 cm²Radius, r = 2.5 cmπ = 3.1\(\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}\)
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
\(\qquad\)\( \bf \longrightarrow h = \dfrac{A}{2\pi r }\)
\(\qquad\)\( \sf \longrightarrow h = \dfrac{93}{2 \times 3.1 \times 2.5 }\)
\(\qquad\)\( \sf \longrightarrow h = \dfrac{93}{15.5}\)
\(\qquad\)\( \sf \longrightarrow h =\cancel{ \dfrac{93}{15.5}}\)
\(\qquad\)\(\pink{ \bf \longrightarrow h = 6\: cm }\)
Henceforth, height of the cylinder is 6 cm.Given the following model
Y=C+I0+g0
C=a+b (y-t)
t=d+ty
(a>0, 0 0, 0< t <1) t: income taxes
a) How many endogenous variables are there?
b) Find Y, C, and T
Answer:
Step-by-step explanation:
a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).
b) Let's find Y, C, and T step-by-step:
Start with the equation Y = C + I0 + g0.
Substitute C from the equation C = a + b(y - T).
Y = (a + b(y - T)) + I0 + g0.
Substitute T from the equation T = d + tY.
Y = (a + b(y - (d + tY))) + I0 + g0.
Expand the equation:
Y = a + by - bd - btY + I0 + g0.
Rearrange the equation to isolate Y:
Y + btY = a + by - bd + I0 + g0.
Y(1 + bt) = a + by - bd + I0 + g0.
Y = (a + by - bd + I0 + g0) / (1 + bt).
Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.
To find C and T, we can substitute the obtained Y value back into the respective equations:
Substitute Y into the equation C = a + b(y - T):
C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.
C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].
Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.
Substitute Y into the equation T = d + tY:
T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].
Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.
It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.
help with math homework?
Answer:
The range of the curve is \([-9,9]\).
Step-by-step explanation:
The domain of the curve corresponds to the values on horizontal axis (x-Axis), where the range of curve corresponds to the values on vertical axis (y-Axis). In addition, the curve is continuous in \((-5, 8)\), so that images exists within interval.
The range of the curve is \([-9,9]\).
Use the future value formula to find the indicated value. FV=\$4096; n = 14 / i = 0.08 ; PMT = ?
The regular payment is approximately $823.05.
What is the future value formula?
The future value formula is a mathematical formula that calculates the future value of an investment or loan based on a set of inputs, including the principal or initial amount, the interest rate, and the time period.
The future value formula is:
FV = PMT x [(1 + i)^n - 1] / i
where FV is the future value, PMT is the regular payment, i is the interest rate per period, and n is the number of periods.
In this case, we know that FV = $4096, n = 14, and i = 0.08. We want to find the regular payment, PMT.
Substituting the values into the formula, we get:
$4096 = PMT x [(1 + 0.08)^14 - 1] / 0.08
Simplifying the right-hand side of the equation, we get:
$4096 = PMT x [4.96757]
Dividing both sides by 4.96757, we get:
PMT = $4096 / 4.96757
PMT ≈ $823.05
Therefore, the regular payment is approximately $823.05.
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Factor -5 out of 10a-25
Please help with a step-by-step explanation!!
Answer:
-5(-2a + 5)
Step-by-step explanation:
10a - 25
-5(-2a + 5)
Answer:
-5(-2a+5)
Step-by-step explanation:
your dividing each number by -5, to get -5 factored.
10 / -5 = -2
-25 / -5 = 5
then you plug it back into the equation with the 5 being factored.
37.
A bag contains 7 raspberry candies, 13 caramel candies, and 5
coffee candies. You are going to reach into the bag and pull out
some candies without looking. What is the least number of
candies that you must pull out to be sure that you have
removed at least three coffee candies?
if August 3rd wos four days after one
Answer:
15Step-by-step explanation:
There are total cadies in the bag:
7 + 13 + 5 = 25Probability of pulling a coffee candy is:
5/25 = 1/5So each 5th candy should be coffee candy
Then you need to pull at least:
5*3 = 15 candiesNote:
To ensure 3 coffee candies you would need to pull 25 - 2 = 23 candies
I need help on this problem please?
Answer:
yes ur friend is correct
Step-by-step explanation:
because the value of x .
The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x
Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number
Answer:
16\(\frac{43}{52}\)
Step-by-step explanation:
875/52 = 16\(\frac{43}{52}\)
What is 1.13 (3 repeated) as a fraction in simplest form?
Answer: Please mark brainliest if right
113/100
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
the fraction equivalent of the repeating decimal 1.13 (3 repeated) in simplest form is 17/15.
To convert the repeating decimal 1.13 (3 repeated) into a fraction, we can use the concept of a geometric series.
Let's denote the repeating decimal as x:
x = 1.133333...
To eliminate the repeating part, we can multiply x by a power of 10 that will shift the repeating part to the left of the decimal point:
10x = 11.33333...
Now, subtracting the original equation from this equation, we can eliminate the repeating part:
10x - x = 11.33333... - 1.133333...
Simplifying:
9x = 10.2
Dividing both sides by 9, we find:
x = 10.2/9
Simplifying the fraction, we get:
x = 1.133333... = 10.2/9 = 17/15
Therefore, the fraction equivalent of the repeating decimal 1.13 (3 repeated) in simplest form is 17/15.
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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