The meters of fencing that is needed is = 3.36m
Calculation of needed metersThe garden is designed in a trapezoid form with sides= a; 3.3m and b; 5.28m.
The area of the trapezoid garden = 13.92 m²
Therefore the meters of fencing needed which is height = ?
The formula for the area of trapezoid = A = (a+b/2)h
From the formula make h the subject of formula;
h = A *2/a+b
h = 13.92*2/3.3+5.28
h =27.84/8.28
h= 3.36m
Therefore, the meters of fencing that is needed is = 3.36m.
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Factor this trinomial
X^2 + 3x - 4
Answer:
(x - 1)(x + 4)
Step-by-step explanation:
What multiplies to (-4) but adds to (3)?
These two values are (4) and (-1). Therefore, these are the values that make up the factored trinomial.
x² + 3x - 4 -----> (x - 1)(x + 4)
You can check your answer by expanding the factors. This is done by multiplying each term within the first parentheses by each term within the second parentheses.
(x - 1)(x + 4) -----> x² - 1x + 4x - 4 -----> x² + 3x - 4
write down all the prime numbers
Answer:
The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Step-by-step explanation:
also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry
PLEASe help math ...
Answer:
21.6 units² (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Area of a trapezoid}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex][tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
a = 2b = 8h = 4r = 2 ÷ 2 = 1[tex]\begin{aligned}\textsf{Area of figure} & =\textsf{area of trapezoid + area of semicircle}\\& = \dfrac{1}{2}(a+b)h+\dfrac{1}{2} \pi r^2\\& = \dfrac{1}{2}(2+8)(4)+\dfrac{1}{2} \pi (1)^2\\& = 20+\dfrac{1}{2} \pi\\& = 21.6\: \sf units^2 \:(nearest\:tenth)\end{aligned}[/tex]
Area of the trapezium
1/2(Sum of parallel sides)×Height1/2(2+8)(4)2(10)20units²Area of semicircle
π(2/2)²/2π/21.57units²Total area
20+1.5721.6units²(Rounded)
the bill at an electronics store was $52 before tax.
tax is 5 percent. what is the total price with tax?
Answer:
$54.6
Step-by-step explanation:
To solve the question, we need to find how much 5% of 52 is
For questions where we need to calculate the percentage, we will multiply the number by given percentage and then divide it by the whole, 100%
52*5/100 = 2.6
Now the price before the tax was 52 and the tax is 2.6
the total price:
2.6 + 52 = 54.6
A number y increased by 5 is at least -21
- - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]
❖ A number y increased by 5 is at least -21.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First, if you come across the word "increased" it means we
"increase" a number, or add something to that number, like
y increased by 5 [tex]\longmapsto[/tex] [tex]\sf{y+5}[/tex]
Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.
So we have
[tex]\longmapsto\sf{y+5\geq -21}}[/tex]
Solving for y
Subtract 5 on both sides:-
[tex]\longmapsto\sf{y\geq -21-5}[/tex]
[tex]\longmapsto\sf{y\geq -26}[/tex]
So the values of y greater than or equal to -26 will make this inequality true.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Answer:
y >= - 26
Step-by-step explanation:
your equation at first looks like this
y + 5 >= -21
then you subtract 5 to both sides
y >= -26
A convoy must carry 44 tons of goods. Because there are 3 trucks that are assigned to other jobs, each of the remaining trucks has to carry an additional 1.5 tons. How many cars did the group have at the beginning? (Know that each truck carries the same number of goods).
please help me!!
Please, try to answer quickly Due in 1 hr!
Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit follow the example below and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24 (2 points: 1 point for each row)
The previous chart from question 2 is below. The chart I am trying to fill out is the bigger one That has the above question written on the picture.
All other times this question has been asked it has gone unanswered or with incorrect and incomplete answers please answer the question no matter how old it is because even if I have figured it out someone else can get help from this.
The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.
How to convert the value of temperature?In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:
F(t) = 9/5C(t) + 32
When t = 12, we have:
F(t) = (9/5 × 12) + 32
F(t) = 21.6 + 32
F(t) = 53.6°F.
When t = 24, we have:
F(t) = (9⁄5 × 24) + 32
F(t) = 43.2 + 32
F(t) = 75.2°F.
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Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =
The value of uv to the nearest tenth or as an integer is 3.1 units
How to find side of a right triangle?uv is the adjacent side of the right triangle.
uv can be found using trigonometric ratios as follows:
Therefore,
tan 63 = opposite / adjacent
Hence,
tan 63 = 6 / adjacent
cross multiply
uv tan 63 = 6
divide both sides by tan 63
uv = 6 / tan 63
uv = 6 / 1.96261050551
uv = 3.05716906145
uv = 3.1 units
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Two points of a parallelogram are (1,2) and (2,5). The base of the parallelogram is parallel to the x axis and is 4 units long. Find the coordinates of the other two points of this parallelogram and also find the length of the other pair of parallel sides of the parallelogrma. What would the area of this parallelogram be?
Answer:
(5,2) and (6,5)
length of side = sqrt10 ~= 3.16 units
Area = 12 sq units
Step-by-step explanation:
It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:
c^2 = 3^2 + 1^2
c^2 = 9+1
c^2 = 10
c = root10 ~= 3.16
Area of a parallelogram is b•h
A = 4•3
= 12
see image.
the factory makes light bulbs the probability that a bulb is defective is 1/15 if 300 light bulbs are tested about how many are expected to be defective
a 20
b 66
c 15
d 30
Which expression is equivalent to the one that is modeled?
Answer:
What are the equivalent expressions?
Two expressions are said to be equivalent if they have the same value regardless of the value of the variable(s) in them.
Step-by-step explanation:
Explain how you would graph the inequality, "b ≤ 0
Answer:
the inequality, b ≤ 0 has interval Notation of -∞,0
Step-by-step explanation:
the inequality, b ≤ 0 has interval Notation of -∞,0
The sum of two numbers is 40 and the difference is 8. What are the numbers?
Answer:
24 and 16.
Step-by-step explanation:
They both are in between the sum of the two numbers.
how do u find the surface area of all the prisms?
A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?
Which of the following points is a possible solution to the system? y ≤ 3x − 1 y ≥ -x − 1
Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1
Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)
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como resolver
(-2 )² x (-2 )³
aplica propiedades de la potenciación en este caso seria potencia de un producto
Answer:
-32
Step-by-step explanation:
-2^2 is 4
-2^3 is -8
So 4•-8
=-32
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Need help asap
the garcia family has a monthly car loan payment of $400, and their average monthly credit card bill is $4,800. mr. garcia
is also paying $1,000 per month to support his elderly parents. compute the back-end ratio to the nearest percentage.
type the correct answer in the box. use numerals instead of words.
Answer:
70%
Step-by-step explanation:
The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall. how many square inches of tinfoil are needed?
The inside of a baking pan is to be lined with tinfoil. Then the amount of tinfoil needed will be 171 square inches.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall.
Then the amount of the tinfoil will be
The surface area of the rectangle with an open lid is given as
Surface area = 2(LH + WH) + LW
Then the surface area of the tinfoil will be
Surface area = 2(12 x 1.5 + 9 x 1.5) + 12 x 9
Surface area = 2 (18 + 13.5) + 108
Surface area = 2 x 31.5 + 108
Surface area = 63 + 108
Surface area = 171 square inches
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The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?
Given the function graphed below, find the average rate of change over the
interval x= 2 to x = 4. I’ve been stuck on this question for a little bit . Can’t seem to wrap my head around it
Answer:
Approximately 0.3.
Step-by-step explanation:
I can only estimate the value of the function when x = 2. it looks like it's about 2.4.
Average rate of change = [(f4) - f(2)] / (4 - 2)
= (3 - 2.4) / 2
= 0.6/2
= 0.3.
Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.
The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2
How to determine the equation of the graph?The equations are given as:
y = x^2 - 4
y = 4 - x^2
When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:
Zeros = -2 and 2
Because the upper x-axis is open upwards, the equation of the graph is:
y = -(x - zeros)
So, we have:
y - (x - 2)(x + 2)
Evaluate
y = 4 - x^2
Hence, the equation of the upper part is:
y = 4 - x^2; -2 < x < 2
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i really need help on this. can you please solve
Answer:
371/999
Step-by-step explanation:
all repeating numbers like that just go over nines. Two repeating? Over 99. Four repeating? Over 9,999
Find the value of X
Answer:
x = 14
Step-by-step explanation:
By tangent secant theorem[tex] x^2 = 7(7+21)[/tex][tex]\implies x^2 = 7(28)[/tex][tex]\implies x ^2=196[/tex][tex]\implies x=\pm\sqrt{196}[/tex][tex]\implies x=\pm 14[/tex]x can not be negative[tex]\implies x=14[/tex]2 x (6÷2 +8) -4 Help me
Answer:
22x-4
Step-by-step explanation:
2x(3+8)−4
Simplify 3+8 to 11.
2x×11−4
Simplify 2x times 11 to 22x.
22x−4
Envision Geometry 10-1 Circles 22. page 425
The segment area of the circle that's given in the envision geometry is 2.568.
How to calculate the segment area?It should be noted that the segment area is given as:
= (a/360)π × R² - Area of triangle
= (90/360)π × 3² - (1/2 × 3²)
= 9π/4 - 9/2
= 2.568
In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.
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What is the sum? startfraction x over x 3 endfraction startfraction 3 over x 3 endfraction 2 over x 3 endfraction five-thirds startfraction x 5 over x 3 endfraction startfraction x 5 over 3 x 27 endfraction startfraction 6 x over x 3 endfraction
The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
How to determine the sum?The expression is given as:
[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]
Take the LCM of terms of the expression
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]
Evaluate the quotient of x + 3 and x + 3
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]
Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
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help with these 10th grade geometry angle problems? will reward brainliest!
Answer:
Step-by-step explanation:
A fish is at 125 m below the sea level it rises 56m, then dives
48m and then rises 25m again. Find the fish’s position from the
sea level
Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answer:
See below ~
Step-by-step explanation:
Question 3 : (x, y - 5)
K' = (-3, 2 - 5) = (-3, -3)L' = (1, 4 - 5) = (1, -1)M' = (-1, 0 - 5) = (-1, -5)N' = (-5, -2 - 5) = (-5, -7)Question 4 : (x + 4, y + 1)
D' = (-4 + 4, 3 + 1) = (0, 4)E' = (0 + 4, 2 + 1) = (4, 3)F' = (-2 + 4, -6 + 1) = (2, -5)G' = (-6 + 4, -5 + 1) = (-2, -4)