Workers need to know the area of a park to determine how much grass seed to order. A worker drew a sketch of the park to find its area. Which is the area of the park?
Answers
The area of the park is 1640 square meters.
What is a quadrilateral?A quadrilateral is a plane shape with four sides and four angles.
The above figure is made up of two quadrilateral; a square and a trapezium.
Analysis:
Area of park = area of square + area of trapezium
Area of park = 1/2(a + b)h + s x s
where a = length of smaller parallel side of the trapezium = 40m
b = length of the larger parallel side = 48m
h = height of trapezium = 35m
s = length of side of square = 10m
Area of park = 1/2(40 + 48)x35 + 10 x 10 = 1640 square meters
In conclusion, the area of the park is 1640 square meters
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Related Questions
one side of a square is represented
Answers
Answer:
therees nothing here to help you with?
Step-by-step explanation:
srry abt that but add the square number
Two adjacent rooms are rectangles, both of length 13 feet by 10 feet. Jerry wants to change the carpets in both rooms. How many square feet should he order?
Answers
Answer:
260 square feet
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
The area of two same-size rectangular rooms will be double the area of one of them.
__
room areaEach room has an area of ...
A = LW = (13 ft)(10 ft) = 130 ft²
carpet orderThe order for carpet must be for 2 times the area of one room:
carpet order = 2 × 130 ft² = 260 ft²
Jerry should order 260 square feet of carpet.
OMG SUPER HARD QUESTION I DONT KNOW
bob has 2 apples then he eats 1 apple how many apples does he have left
Answers
Answer:
1 apple
Step-by-step explanation:
unless you are a psycho who counts the one he ate as still in his possession,
therefore 2 - 1 = 1
hope this helps:)
Show that tanø+Cotø = Secø Cosecø
Answers
Answer:
True.
Keys:
Manipulate left/right sidesStep-by-step explanation:
[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]
What was shown throughout this problem?
We showed that two different sides are capable of taking the same form.
What additional information is needed to prove the triangles are congruent by the SAS postulate
Answers
Answer: [tex]\angle XWY \cong \angle ZWY[/tex]
Step-by-step explanation:
We know that [tex]\overline{WY} \cong \overline{WY}[/tex] by the reflexive property, so we need the included angles to be congruent (meaning [tex]\angle XWY \cong \angle ZWY[/tex]
Which criterion, if any, could prove the triangles are congruent?
Answers
Answer: None
Step-by-step explanation:
There is only one pair of angles and one pair of sides, which is not sufficient to prove triangle congruence.
if g(X)=3x-5,then find g^-1(5),where g is one to one onto function
Answers
Answer:
g^-1(5)=10/3
Step-by-step explanation:
g(x)=3x-5
g(x)= y
g^-1( y)=x
3x-5=y
3x=y+5
x=y+5/3
g^-1(y)=y+5/3
g^-1(5)=5+5/3
g^-1(5)=10/3
Determine the true statements about trend lines in scatterplots. Check all that apply.
A trend line can be used to make predictions in real-world situations.
A scatterplot that shows no correlation between the variables does not have a trend line.
A line of best fit must contain at least two of the original points.
A regression line and trend line are equivalent terms.
Answers
Answer:
give that 13.3cm is 15% of a certain length, what is the complete length
Answer: A,B and D ARE THE CORRECT ANSWERS
Step-by-step explanation:
Calculate the area of a triangle with a base of 6 cm and a height of 12 cm
Answers
Answer:
36
Step-by-step explanation:
12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2
Step-by-Step Explanation:
Base (b) = 6 cm
Height (h) = 12 cm
Area = 1/2 * b * h
Therefore,
= 1/2 * b * h
= 1/2 * 6 * 12
= 1 * 3 * 12
= 3 * 12
= 36
Area = 36 cm^2
what is the quotient of 1/5 divide by (-5/7) =
Answers
Answer:
-7/25
Step-by-step explanation:
=(1/5) ÷ (-5/7)
Copy dot flip
=(1/5) * (-7/5)
=-7/25
ow many decimals numbers are there whose value equals the average of their digits?
For example, 2.3 has the digits 2 and 3. Their average is 2.5 -- so that doesn’t work. But there are some that do!
There are a few rules:
Answers
Answer:
Step-by-step explanation:
there are infinite numbers between 2 and 3 having average=2.5
2.49,2.51
2.48,2.52
2.47,2.53
2.46,2.54
.................
2.491,2.509
2.492,2.508
2.493,2.507
......................
Help me please it’ll be a big help
Answers
Triangle \triangle ABC△ABCtriangle, A, B, C is reflected across line nnn to create \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
What is the measure of \angle C∠Cangle, C?
Answers
Answer: [tex]54^{\circ}[/tex]
Step-by-step explanation:
Because reflections are rigid motions, we know that [tex]\triangle ABC \cong \triangle A'B'C'[/tex], and thus [tex]\angle B \cong \angle B'[/tex].
It follows that since angles in a triangle add to 180 degrees, [tex]m\angle C'=180^{\circ}-59^{\circ}-67^{\circ}=\boxed{54^{\circ}}[/tex]
Let H be the set of real numbers less than or equal to eleven
Answers
Answer:
The answer would be Set: "S" = the set of natural numbers greater than 11.
Hope this helps!
A bicycle wheel travels exactly 26/pi inches in I full rotation, what is the area, to the nearst square inch, of a circle the same size az the bicycle wheel?
Answers
The area, to the nearst square inch, of a circle the same size az the bicycle wheel is 531 inches².
What is the area of the circle?A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 22/7
R = radius
The full rotation of the wheel is equal to the circumference of the wheel.
circumference of the wheel = 2 πr
26π = 2 πr
r = 13 inches
Area = 22/7 x 13³ = 531 inches²
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Photo is attached, please help! Will give brainliest.
Answers
Answer:0.124402866242
Step-by-step explanation:here’s my attempt: dv/dt=d/dt(4pi/3r^3). 100=d/dt((4pi/3)*(8+X*t)^3) at t=0. 100/(4(pi)*8^2)=x where x is the rate of change of the radius. Not 100% sure though
NEED HELP ASAP!!! PLEASE
Answers
The linear function that has a different rate of change from y = -3x+4 is A, a function with a y-intercept of -4 that passes through the point (-3,-13)
What is an intercept?An intercept is the point where a straight line or a curve meets with the x or y axes.
Analysis:
The rate of change is the same as slope. The slope of y = -3x + 4 is -3,
All other functions Except A have a slope of -3.
for linear function A,
if y = mx + c, c = -4, x = -3, y = -13
-13= -3m - 4
-3m = -9
m = 3
In conclusion, linear function A with a y-intercept of -4 passing through the point (-3,-13) has a different rate of change from y = -3x + 4
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In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, intersecting arcs of equal size are drawn centered at points D and E. Point P is located at the intersection of these arcs.
Based on this construction, m∠ABP is
°, and m∠ABC is
°.
Answers
The measure of ∠ABP and ∠ABC are 32° and 64° respectively.
what is a bisector of an angle?Any line which divides an angle into two equal halves is a bisector of that angle.
Analysis:
Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.
∠ABC = ∠ABP + ∠PBC
∠ABC = 32 + 32 = 64°
In conclusion, ∠ABP and ∠ABC are 32° and 64°
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Answer:ABP is 32 degrees, and ABC is 64 degrees
Step-by-step explanation: bi hope this helped if not sorry:)
Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. 6 10
Answers
Answer:
1.0452
Step-by-step explanation:
10*sin6
10*0.1045
the answer is 1.0452
triangle.
A,
angle CAB = 90°, angle ABC = 52° and AC = 9.2.
Calculate the length of BC rounded to 3 SF.
Answers
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin52=\dfrac{AC}{BC}[/tex]
[tex]\\ \rm\Rrightarrow sin52=\dfrac{9.2}{B C}[/tex]
[tex]\\ \rm\Rrightarrow B C=\dfrac{9.2}{sin52}[/tex]
[tex]\\ \rm\Rrightarrow B C=9.3[/tex]
Answer:
11.7 (3 s.f.)
Step-by-step explanation:
Given information:
∠CAB = 90°∠ABC = 52°AC = 9.2As one of the given angles is 90°, the triangle is a right triangle.
Draw the triangle using the given information (see attached) to help visualize the problem.
To calculate the length of BC, use the sine trigonometric ratio:
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the attached triangle:
[tex]\theta[/tex] = 52°O = AC = 9.2H = BCSubstitute the values into the formula and solve for BC:
[tex]\implies \sf \sin(52^{\circ})=\dfrac{9.2}{BC}[/tex]
[tex]\implies \sf BC=\dfrac{9.2}{\sin(52^{\circ})}[/tex]
[tex]\implies \sf BC=11.67496758...[/tex]
[tex]\implies \sf BC=11.7\:\:(3 \:s.f.)[/tex]
Therefore, the length of BC is 11.7 (3 s.f.).
Which function is shown in the graph below?
O y = logo 4x
O y = log₁x
O y = log3x
O y = log10x
Answers
The correct function shown in the graph is,
⇒ log₁₀ (ax) = 1
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
It has been given that the point (3,1) is on the graph. For the point (3,1) to be on the graph, the following must hold true:
⇒ log₁₀ (ax) = 1
or , ax = 10¹ = 10
Thus, x = 10/a
So, in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option D, that is, when a = 3. That will make x = 3.33 and thus, .
⇒ log (3 × 3.33) = 0.99 ≈ 1
Thus, out of the given options only Option D seems to be the most probable answer.
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A motor boat can travel 45 km downstream in 2 h and 30 min; and 39 km upstream in 3 h and 15 min. What is the speed of the boat in still water? What is the speed of the current?
Answers
Answer:
c = speed of current = 3 km/hr
r = speed of boat in still water = 15 km/hr
Step-by-step explanation:
Use the formula distance = time x rate to set up these equations
45 = 2.5 (r+c)
39 = 3.25 (r-c)
(r + c) is the speed of the boat added to the speed of the current, downstream
(r - c) is the speed of the boat minus the speed of the current, upstream
Use one equation to isolate a variable then substitute it into the other equation to solve the system.
39/3.25 = r - c
12 + c = r
45 = 2.5 ( 12 + c + c )
18 = 12 + 2c
6 = 2c
c = 3
Then use the equation 12 + c = r from above
12 + c = r
12 + 3 = 15
r = 15 km/hr
Need one person help for math Plato class
Answers
Answer:
The answer is B. 13.7 inches
i hope this can help you! :)
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference of a number and six.
Solve for the variable then type the answer after rounding your answer to the nearest hundredths
Answers
The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference between a number and six.
Let the number be x.
Then the equation will be
2x + 10 = 5(x - 6)
Then the value of x will be
2x + 10 = 5x - 60
5x - 2x = 60 + 10
3x = 70
x = 23.33
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PLEASE HELP ME!!! I WILL GIVE BRAINLEST
PLEASE
Answers
Answer:
7
Step-by-step explanation:
you just multiply from the least and once you get to the greatest, it should be 7
b) 9 11 13 15 17
Terms of
n, an expression for the nth term
Answers
Answer:
Tn= a+( n-1) 3
Tn= 9+(n-1)3
Is anyone able to solve this equation? It’s urgent
Answers
Answer:
1500
Step-by-step explanation:
You can find the complete solution in the given attachment
Inaaya has a jar of coins containing only nickels, dimes, and quarters. A nickel is worth 5 cents, a dime is worth 10 cents, a quarter is worth 25 cents, and a dollar is worth 100 cents.
The ratio of the number of quarters to the number of dimes to the number of nickels in the jar is 9:3:1. The total value of all the coins in the jar is $18.20. How many coins does Inaaya have in her jar?
Answers
Answer: 91 coins
9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents
Write the standard number.
3.6 * 10^-6
Answers
Answer:
The answer is 0.0000036.
Step-by-step explanation:
Move the decimal place 6 spaces to the left. I hope this helps! :)
3. The circumference of a circle is 607 cm. What is the diameter of the circle?
120 cm
30 cm
60 cm
90 cm
Answers
Answer:
the circumference is 30 cm,
Step-by-step explanation:
Hope it helps