Answer:
30.1756...
Hope that this helps!
find the area of the pentagon in the diagram below.
15 square inches
20 square inches
25 square inches
28 square inches
The area of the pentagon is approximately 15 square inches.
To find the area of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (5/4) * (s²) * (1/tan(π/5)),
where "s" is the length of the side of the pentagon.
Given that the sides of the pentagon are as follows:
Two smallest sides = 2 inches,
Two largest equal sides = 4 inches,
One other equal side = 3 inches.
Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.
The pentagon can be divided into three shapes: a rectangle and two triangles.
Rectangle:
The two smallest sides (2 inches) form the length and width of the rectangle.
Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.
Triangle 1:
The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.
To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.
h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]
h² = 16 inches² - 2.25 inches²,
h² = 13.75 inches²,
h ≈ 3.7 inches.
Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Triangle 2:
The two largest equal sides (4 inches) and the other 3-inch side form another triangle.
Using the same height (3.7 inches) from Triangle 1:
Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:
Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2
Total Area = 4 square inches + 5.55 square inches + 5.55 square inches
Total Area ≈ 15.1 square inches.
Therefore, the area of the pentagon is approximately 15.1 square inches.
To know more about area of the pentagon click here :
https://brainly.com/question/29683405
#SPJ2
Select all the expressions that are equivalent to 20% of 150.
Answer:
2 and 3
Step-by-step explanation:
30 is 20% of 150
I hope this helps
Have a great day
Can someone please help me with this
Answer:
[tex]2x^2+x+7y[/tex]
Step-by-step explanation:
We are given the equation [tex]2(x^2+3y)+x+y[/tex] and are asked to simplify it.
To do so, we need to first get rid of the parenthesis, since x² and 3y aren't like terms, it isn't solvable unless we try another way, which is the distributive property.
2 is next to the parenthesis, in the distributive property, we would multiply the number outside of the parenthesis with all the numbers inside the parenthesis. Therefore :
[tex](2*x^2) + (2*3y) + x +y[/tex]
[tex]2x^2 +6y+x+y[/tex]
Now that we have like terms, we can add them together :
[tex]2x^2 + 6y+x+y[/tex]
[tex]2x^2 + x+7y[/tex]
Answer:
Hello! Your answer would be, 2[tex]x^{2}[/tex] + [tex]x[/tex] [tex]7y[/tex]
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia
The height of a seat on a Ferris wheel can be modeled as
H (t) = 47 sin (Fot+ 3 + 52, where tis time in seconds and h(t) is
height in feet.
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 99 feet
B. 94 feet
C. 104 feet
D. 52 feet
Answer:
Step-by-step explanation:
Its 99
I just took it
Should you use Sine, Cosine, Tangent to solve the following problem
Answer:
tangent
Step-by-step explanation:
SOH( sin = opposite/hypotenuse)
CAH(cosine = adjacent/hypotenuse)
TOA(tan = opposite/adjacent)
you are trying to find x and the numbers given to you are opposite of x and adjacent to x. that means you need to use toa
We will use Tangent of the angle.
What is Tangent of the angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
Given that, a right triangle, with perpendicular = x and an acute angle = 28° and base = 14
Since, we know that, tan α = opposite side / adjacent side
In other two trigonometric ratios, we need the length of hypotenuse, which is not given.
Hence, We will use the Tangent of the angle.
Learn more about tangent, click;
https://brainly.com/question/19064965
#SPJ2
Which goes to this inequality x + 1 < 3
Hey can yall help me
what's 9+10+2=
Answer:
21
Step-by-step explanation:
: P
Answer:
21
Step-by-step explanation:
umm that's kindergarten math-
Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?
Answer:
2/8 of the fifth graders are not in band
Step-by-step explanation:
To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).
A swimming pool is in the shape of a right triangle. One leg has a length of 15 feet and the hypotenuse is √325 feet. Estimate the length of the other leg. Round to the nearest integer, if necessary
Answer:
10 feet
Step-by-step explanation:
a^2+b^2=c^2
15^2+B^2=365
225+b^2=365
b^2=100
b=10
Solve for N
4n=2n+6
Please help
Answer:
n = 3
Step-by-step explanation:
Given
4n = 2n + 6 ( subtract 2n from both sides )
2n = 6 ( divide both sides by 2 )
n = 3
The solution is, n = 3.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Given
4n = 2n + 6 ( subtract 2n from both sides )
2n = 6 ( divide both sides by 2 )
n = 3
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ5
I need help please!!
Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)
Answer:
the answer is A. y=2sin(1/2x)+1
Step-by-step explanation:
I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph
The function that matches the graph is y= 2 sin(1/2x) +1.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
let y = A sin ([tex]\omega[/tex]x + Ф)+ k
T= 4π, w= 2π/T = 1/2
Now, midline= 1/2( max + min)
=1/2(3-1)= 2/2
k=1
and, A= 3-1 = 2
So, y= 2 sin(1/2x + Ф) +1
as, Ф=0
So, y= 2 sin(1/2x) +1
Learn more about graph here:
https://brainly.com/question/16608196
#SPJ5
¿Cuáles son las famosas razones trigonométricas y sus inversas?
Answer:
Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.
Step-by-step explanation:
espero y te ayude
Combine these radicals
3V2-5V2
Plz help
Will give Brainlyest
Answer:
b
Step-by-step explanation:
because i said so and because i am tired and tired and tired
Answer:
[tex] - 2 \sqrt{2} [/tex]
Step-by-step explanation:
Subtract 5√2 from 3√2.
[tex] - 2 \sqrt{2} [/tex]
Hence, the answer is Option A. in decimal form the answer will be −2.82842712.
the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?
Answer:
5 and 7
Step-by-step explanation:
5. THINK SMARTER There are 246 children at
Debbie's school. There are 328 children
at Jacob's school. Without adding, explain
how you could estimate the number of
children at the two schools.
Answer:u can estimate 246 to 200 and u can estimate 328 to 300
Step-by-step explanation:
add 34
could someone please help
Answer:
70
Step-by-step explanation:
the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.
Whats the área and circumference of a circle if the radius is 6in?
Answer:
C≈37.7in
Step-by-step explanation:
Answer:
Hello!
Area: 113.04
Circumference: 37.68
Hope this helps
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
How many triangles can be made with only 60 centimeters, 100 centimeters, and 40 centimeters?
The width of a rectangle room is 80 percent of its length. WHat is the area of the room?
Answer:
180 squared ft
Step-by-step explanation
80% = 80/100 = 40/50 = 4/5
L = 15
W= 4/5 of 15 = 12
Area = LxW
Area = 15x12 = 180 squared ft
What was his mistake????
Lena bought new inline skates for $44.99. The sales tax was $4.13. How much did Lena spend in all for her new inline skates?
Step-by-step explanation:
Mam nice drawing at your backside Mam nice drawing at your backside
Need help please urgent. Correct answers only no links.
Answer:
the exact answer is 314.159265359
Step-by-step explanation:
but it simplifies to 314.16
3. There are 6645 students at Tech Middle School, and
20% of the stredents are 7th graders.
How
many
Students are 7th graders?
Answer:
.20
Step-by-step explanation:
The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).
Answer:
1329 students
Step-by-step explanation:
20/100 ×6645
Reduce the fraction 20/100 with 20
So..20 goes into 20 1 time and 20 into 100 5 times
1/5×6645
Use 5 as the greatest common factor now
so...5 into 5 goes 1 time and 5 into 6645 goes 1329
1/1 × 1329 = 1329
Or... you could just convert 20% into a decimal by carring the . two places to the left
which is 0.2
0.2 × 6645 = 1329
PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT
Answer: A- 12.5 million
Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.
Answer:
40 million
Step-by-step explanation:
125% of x
125/100 * x = 1.25x
x+ 10 = 1.25x
(subtract x from both sides)
10 = 1.25x - x
10 = 0.25x
(divide both sides by 0.25)
10/0.25 = x
x= 40
I need an answer! NO LINKS! PLS ill give brainlist
Answer:
c
Step-by-step explanation:
8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.
Answer:
s = 24.05
Step-by-step explanation:
Given
v² = u² + 2gs ← substitute v = 25, u = 12, g = 10
25² = 12² + (2 × 10 × s)
625 = 144 + 20s ( subtract 144 from both sides )
481 = 20s ( divide both sides by 20 )
24.05 = s
For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?
Is 4.53 a real number?
yes or no
Answer:
yur
Step-by-step explanation:
Answer:
yeah it's a decimal so yes
