Answer:
38.6 m
Step-by-step explanation:
cos 75° = 10/x
x= 10/cos75°= 38.637 ≈ 38.6m
which of the following shows the polynomial below written in descending order?
Answer:
A
Step-by-step explanation:
Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.
Answer:
the answer is option a because all the expression in option a is written descending power form.
Please help me if you can thanks
Step-by-step explanation:
a, 3
b,
draw lines through the corresponding corners of each shape These lines will cross at the centre of enlargement O
If f = (1,2) , (3,4) , (5,6) and g = (2,3) , (4,6) , (6,8) . Find the composite of gof. does fog exist?
Answer:
[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
[tex]f\circ g[/tex] does not exist.
Step-by-step explanation:
It is given that,
[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]
[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]
We need to find the composition gof.
[tex](g\circ f)(x)=g(f(x))[/tex]
Now,
[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]
[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]
[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]
So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
We need to check whether [tex]f\circ g[/tex] exist of not.
If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.
Now,
Range of g(x) = {3,6,8}
Domain of f(x) = {1,3,5}
Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.
Chloe discovers that her rectangular shed is 6 feet longer than three times the width. If the perimeter of the shed is 100 feet, find the dimensions. (Recall: the perimeter of a rectangle is given by the formula P = 2 L + 2 W .)
Answer:
11 feet by 39 feet.
Step-by-step explanation:
In this case, the perimeter, P, is 100 ft.
If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.
So, we have an equation: P = 2 * L + 2 * W.
100 = 2 * (6 + 3W) + 2 * W
100 = 12 + 6W + 2W
100 = 12 + 8W
8W + 12 = 100
8W = 88
W = 11
And so, we know that the width is 11 feet.
To solve for the length...
L = 6 + 3W
L = 6 + 3 * 11
L = 6 + 33
L = 39
So, the length is 39 feet.
Now, you have the dimensions of the shed: 11 feet by 39 feet.
Hope this helps!
which shape is a parallelogram?
Answer:
A,C,and D are parralelograms
The parallelogram are shapes with figures having opposite sides which are parallel
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , from the figure 1
a)
The figure is having opposite sides are parallel
where AB = CD
And , BC = AD
So , it is a parallelogram
b)
The figure does not have any sides parallel
So , it is not a parallelogram
c)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
d)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
Hence , the parallelogram is solved
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question 1: 5 1/8 is 2/3 of what number?
question 2: what fraction of 9 3/8 is 4 3/8?
Answer:
1) [tex]7 \frac{11}{16} [/tex]
2) [tex] \frac{7}{15} [/tex]
Step-by-step explanation:
1) Let's convert the mixed fraction into a improper fraction.
[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]
Let the number be x.
[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]
2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]
[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]
[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]
f(4) =
If g(x) = 2, x =
Sososos
Step-by-step explanation:
Brent Pokott borrowed $4000 from his brother Dave. He agreed to repay the money at the end of 3 years, giving Dave the same amount of interest that he would have received if the money had
been invested at 1.25% compounded quarterly. How much money did Brent repay his brother?
(Round to the nearest cont as needed)
Answer: Brent repay $4152.61 to his brother.
Step-by-step explanation:
Formula to calculate compound amount : [tex]A =P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= principal amount
r= rate of interest (in decimal)
t= time
As per given, we have
P= $4000
t= 3 years
r= 1.25% = 0.0125 [we divide a percentage by 100 to write in simple form]
Now, substitute these values in the formula
[tex]A=4000(1+\dfrac{0.0125}{4})^{4\times3}\\\\=4000(1.003125)^{12}\\\\=4000\times1.03815129256\\\\\approx4152.61 \ \ [\text{To the nearest cent.}][/tex]
Hence, Brent repay $4152.61 to his brother.
HELP PLEASEEE 9th Grade Geometry
Step-by-step explanation:
AD ≅ BC, Given
∠BCD ≅ ∠ADC, Given
CD ≅ CD, Reflexive property
ΔBCD ≅ ΔADC, SAS congruence
∠BDC ≅ ∠ACD, CPCTC
ΔECD is an isosceles triangle, definition of isosceles
DE ≅ CE, properties of isosceles triangles
Find an equation that fits this graph:
Answer:
y = -2/3x + 4
Step-by-step explanation:
Use formula for slope given two points.
m = (y2 - y1)/(x2 - x1)
The two points are (0, 4) and (6, 0)
m = (0 - 4)/(6 - 0)
m = -4/6
m = -2/3
y = -2/3x + b
The y-intercept b is 4.
In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
Point L is located at (4, -3) and M is located at (-8, 5). Find the y value of the point that lies halfway between L and M.
Answer:
y = 1
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is
y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1
Perform the indicated operation (25m2 - 20m + 4) ÷ (5m - 2)
Hey there! :)
Answer:
5m - 2.
Step-by-step explanation:
We can use long division to divide the two expressions:
5m - 2
5m - 2 | 25m² - 20m + 4
25m² - 10m
-
0m² - 10m + 4
-10m + 4
-
0
The quotient of this operation is 5m - 2.
WILL GIVE BRAINLIEST THANKS AND 5 STARS... PLZ HELP
Answer:
507x223 is greater than 530 x 200
914x385 is less than 900 x 400
Adding to "undo" subtraction and subtracting to "undo" addition are both examples of using inverse operations to solve equations. Think of another pair of inverse operations in mathematics. How do these inverse operations "undo" each other?
Answer:
see below
Step-by-step explanation:
Multiplication and division are also inverse operations
15 * 10 = 150
150 ÷10 = 15
Divide 150 by 10 and we get 15 back
The division undoes the multiplication
This also works in reverse
150 ÷ 10 = 15
15*10 =150
The multiplication undoes the division
Square all the integers from 1 to 10 inclusive. Then, round each number to the nearest hundred. Finally, sum the numbers. What do you get?
Answer:
22.467
Step-by-step explanation:
Hello,
You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred
x sqrt(x)
1 1
2 1.414
3 1.732
4 2
5 2.236
6 2.449
7 2.646
8 2.828
9 3
10 3.162
and do the sum which is 22.467
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
300
Step-by-step explanation:
First let's square all the integers from 1 to 10 inclusive. We get:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100.
Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.
Therefore, we obtain
0+0+0+0+0+0+0+100+100+100,
or 300.
Help quick plz i will make you a brainllest
Answer: B
Step-by-step explanation:
LJ should corresponds with RQ but it should correspond with PR.
Answer:
B
Segment LJ and Segment RQ
Step-by-step explanation:
look at the congruence statement
JKL≅PQR
as you can see, they do not correspond with one another
and all the other statements are pairs or congruent/corresponding parts
• How can you tell that a point on the graph is a maximum, a minimum, or neither?
Answer:
If it is on the maximum, then the y-value of the point cannot be any higher and still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.
At which root does the graph of f(x) = (x + 4) 6(x + 7)5 cross the x-axis?
-7
4
4
07
Answer:
-7 and -4
Step-by-step explanation:
The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given is a function,
f(x) = (x + 4)⁶ (x + 7)⁵
When the function cross the X axis, the value of the function will be 0.
Let f(x) = 0
(x + 4)⁶ (x + 7)⁵ = 0
This implies that, either x + 4 = 0 or x + 7 = 0
x + 4 = 0 ⇒ x = -4
x + 7 = 0 ⇒ x = -7
Hence the roots are -4 and -7 where the function crosses the X axis.
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P(x)=(1-x)^2 in graph form
Answer:
See Attached
Step-by-step explanation:
The area between z = 0.41 and z = 1.93 is
Answer:
Step-by-step explanation:
0.026803
Given the equation 2x² - 5x + 7 = 0. Find the discriminant. Describe the roots and explain your reasoning.
Answer:
The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary.
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Step-by-step explanation:
Answer:
The discriminant is -31.
Step-by-step explanation:
The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.
(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.
Hope this helps!
Matt invested $1500 into a stock of his choice. After two years, he had received
$400 in dividends. He sold the stock and received a total of $1600. What is Matt's
rate of return on investment?
For this question, the time given confuses me. I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note: In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
hope this helped you ;)
Matt probably would have got about a 5% return on a good stock.
How to find the rate of return?The rate of return is just the total return divided by investment.
Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.
Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.
In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
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Classify the polynomial by its degree and the number of terms
Question: 4ab+9a
PLEASE HELP!!!
Answer:
The polynomial "4ab+9a" is a quadratic binomial
Step-by-step explanation:
It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms
Which of the following functions is graphed below?
8
84
4.
24
-8
2
4
8
8
12
-2
4
-6+
-87
Answer:
Step-by-step explanation:-
-
-8239910.76
Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden together make a rectangle with length 3.5m and width 3m. Find the area of just the trench
Answer:
5.5m^2
the area of just the trench is 5.5 m^2
Step-by-step explanation:
The Area of trench only is the total area(trench and garden) minus the Area of garden
Area of trench only = total area(trench and garden) - Area of garden
Area = length × breadth
Substituting the given dimensions;
Total area = 3.5 × 3 = 10.5 m^2
Area of garden = 2.5×2 = 5 m^2
Area of trench only = 10.5 m^2 - 5 m^2
Area of trench only = 5.5m^2
the area of just the trench is 5.5 m^2
Answer:
5 1/5
Step-by-step explanation:
Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of the money she needed for the purchase. How much does 1 bottle cost?
Answer:
One reusable bottle cost $8.12
Step-by-step explanation:
Let
x=total cost of the two reusable bottles
Ms stone has 5/8 if the total cost of the two reusable bottles
5/8 of x=$10.15
5/8*x=10.15
x=10.15÷5/8
=10.15×8/5
=81.2/5
=16.24
x=$16.24
The total cost of of the two reusable bottles=$16.24
If total cost of two reusable bottles=$16.24
Cost of one reusable bottle=$16.24/2
=$8.12
One reusable bottle cost $8.12
O aquário de Noé é um paralelepípedo retangular com dimensões 50 cm x 25 cm x 40 cm. Ele quer encher o aquário com água da torneira, mas a localização da torneira obriga-o a inclinar o aquário de um ângulo de 45°. A água flui a borda do aquário.Calcule a altura máxima da água no aquário e marque a opção correta abaixo. A) 28,5 B) 27,5 C) 26,5 D) 25,5 E) 24,5
Answer:
si
Step-by-step explanation:
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
What is the ratio of the Volume of the smaller pyramid to the larger pyramid