Answer:B 28 cm^2
Step-by-step explanation:
The area of the pentagon is 28 cm².
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Apothem a = 2.75 cm
Side length s= 4 cm
Now,
Area of Pentagon = (5/2) x s x a
So,
= 5/2 x 4 x 2.75
= 5 x 2 x 2.75
= 10 x 2.75
= 27.5 cm²
= 28 cm²
Thus,
The area of the pentagon is 27.5 cm².
Learn more about expressions here:
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Find the volume of this rectangular prism using V=Bh.
Answer:
144
Step-by-step explanation:
5(9)=45
v=bh
v=(45)(3.2)
v=144
Easy but not for me. Help needed
What is the greatest common factor (GCF) of the numerator and denominator
of the rational expression below?
A. ** 6
B. X* 1
C. 6
D. 2.
Help me please!!! ASAP
Answer:
a) 21 √m inches
b) 13√2/2 m
Step-by-step explanation:
a) we want to find the perimeter of an equilateral triangle
An equilateral triangle is one which sides has the same equal length
The perimeter of this triangle is the sum of the lengths of the three sides
Mathematically, we have this as:
7 √m + 7 √m + 7 √m
= 21 √m inches
b) we want to calculate the perimeter of the given rectangle
Mathematically, we can calculate the perimeter of a rectangle using the formula below;
P = 2(l + b)
where l represents the length of the rectangle and b represents the breadth of the rectangle
From the given shape;
l = √50 m, b = 1/2 √32
So, we have the perimeter follows;
2( √32/2 + √50)
= √32 + √50/2
√32 = 4√2
√50 = 5√2
Thus, we have;
4 √2 + 5 √2/2
= (8 √2 + 5 √2)/2 = 13√2/2
Help me please with the last 2 questions!
Answer:
what grade work is this 8th?
What
6 Jillian has repaid $700 of a $1500 debt.
percentage of the debt has been repaid?
Answer:
46.6%
Step-by-step explanation:
1500 is 100%
700 is x
multiple 700 to 100 the answer is 70000 and divide it by 1500 the percent is 46.6
Graph this line using the slope and y-intercept:
y=6x+2
Click to select points on the graph.
Answer:
Step-by-step explanation:
two points: (0,2) and (-1, -4)
Find the circumference of a circle with a diameter of 13 meters. Use 3.14 as an approximation for 8. Round your answer to the
nearest whole meter. Enter only the number.
The solution is
Answer:
Step-by-step explanation:
Diameter d = 13 meters
Circumference = πd = 3.14 × 13 = 40.82 meters
Can anyone help out with this
quadrado de 8 + quadrado de 5 = 64 + 25 = 89
Espero ter ajudado
Answer:
9.43
Step-by-step explanation:
c=a2+b2=82+52≈9.43398
A ladder that is 13 feet long leans against a building .The bottom of the ladder is 5 feeet away from the base of the building .how far up the side of the building does the ladder reach?
Length of the ladder = 13 m
Foot of the ladder from the wall = 5 m.
The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.
In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.
In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.
In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.
So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.
Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m
wall ^ 2 + ground ^ 2 = 13^2 = 169
w^2 + g^2 = 169
w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12
Rate of change of ground distance = dg / dt = 2m/s (given).
In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.
2 w dw/dt + 2 g dg/dt = 0
2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0
dw/dt = -20 / 24 = -5 / 6
Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)
The minus sign denotes that the height of the ladder is falling.
Step-by-step explanation:
100 divided by the sum of 22 and 3 as an expression
Answer:
Step-by-step explanation:
100 goes into the numerator and (22 + 3) into the denominator:
100
----------- is an expression.
(22 + 3)
This expression can be simplified as follows:
100
------- = 4
25
Given:-
[tex]\sf \dfrac{100}{(22 + 3)}[/tex]Solution:-
[tex]: \implies \sf\dfrac{100}{(22 + 3)} \\ \\ \\ : \implies \sf\dfrac{100}{25} \\ \\ \\ : \implies \sf \: 4 \: is \: the \: answer[/tex]
You are hiring counselors for a summer camp. For every 30 campers, you need 4 counselors. You expect to have 180 campers. How many counselors should you hire? (Show your work.) Solve using a double number line.
How many counselors do you need to hire for 90 campers?
How many counselors do you need to hire for 60 campers?
Complete the double number line diagram that represents the situation
b.
a.
c.
d.
Answer: 60 campers = 8 counselors
90 campers = 12 counselors
180 campers = 24 counselors
Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers
Right triangle ABC is shown below.
A similar right triangle would be created by a rise of 8 and a run of
Answer:
a run of 6
Explanation:
AB=4 , AC=3
If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6
Find the volume of the triangular prism. Please give an explanation if you can!
Answer:
9x14=126
63x8=1008
1008x.5=504cm
Step-by-step explanation:
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
5 yd
6 yd
10 yd
2
?
13 yd
Answer:
5yd= 15 ft
6yd= 18ft
10 yd= 30 ft
2yd=6ft
13yd=39ft
Step-by-step explanation:
Find the area of the figure in yards squared.
Answer:
370.1946711 yard ^2
Step-by-step explanation:
The figure is made out of two shapes, a square and a semicircle.
area of a circle is pi r^{2}
but in this question we have half of the cirlce therefore = 0.5 pi r^{2}
area of square = s * s
that makes the equation:
0.5* pi * (12)^{2} + 12^{2}
= 360.1946711
12. Given the equation y = 2x + 4, what would the value of y be when x = 1?
A. 7
B. 1
C. 5
D. 6
Answer:
D 6
Step-by-step explanation:
substitute in 1 for x
2(1)= 2
2+4= 6
y=6 when x=1
Answer:
C
Step-by-step explanation:
Kimberly is in $16,000 worth of debt for three (3) companies. How much is Kimberly's
debt for each company?
Answer:
£5333.33333333
Step-by-step explanation:
$16,000 divided by 3 = $5333.33333333
Answer:
Step-by-step explanation:
Kimberlys debt for each company is -
16000/3 = 5333 (each)
Use the diagram to determine which is the correct net of the given figure. Then, explain why the other nets are not correct--explain what is "wrong" with them.
Answer:
C is the correct answer.
Step-by-step explanation:
That is the correct one because C has 6 pages, as many has the cuboid has. As we see, the others are different.
What is this plz this is the last thing i need
Answer:
Exactly 1
Step-by-step explanation:
y = 2 x + 1
I will give you BRAINLIEST for the correct answer
Answer:
The answer is C
Step-by-step explanation:
all you have to is divide 150 by 6 and 54 by 6
then you take the answers and look at your possible answers to see if any of them work.
please mark as brainllest
have a very nice week.
Which following figures have a area of 64 square feet? Select three that apply
Answer:
a,e and b
Step-by-step explanation:
Answer:
A e and b
Step-by-step explanation:
I really need help with this question
Answer:
32
Step-by-step explanation:
180-116=64
64÷2=32
Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3
i dont know what this is please help me thx <3
Answer:
x>0
Step-by-step explanation:
since the circle is white and not blue, it is a normal greater than sign and since the arrow is going to the right it is greater than
Answer:
it would be b because the line is showing that x is greater than zero and there is no line under the symbol because the dot is not shaded in.
Step-by-step explanation:
FIND THE DIFFerence.
78,000 - 9,743 =
Answer:
68257
Step-by-step explanation:
Answer:
1943 is the difference between these two numbers
zack spent 1/2 as much time on his homework a shaunda plus an additional 3 hours write an expression to represent the number of hours zack spent on his homework
Answer:
[tex]y=\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Let y equal the total amount of time spent on homework. Regardless of Shaunda's time spent on homework, represented by x, Zack spends half the time, represented by the 1/2. The additional 3hrs represents the y intercept, making it added on to the 1/2x expression.
If I helped, a brainliest answer would be greatly appreciated!
I need help please help this is do tomorrow
Answer: A!
Step-by-step explanation:
I am just going to ask this question again because I keep getting a scam answer
Answer:
14.52 seconds
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
[tex]x^2+y^2-2x-8=0[/tex]
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
[tex](x^2-2x)+(y^2)=8[/tex]
And complete the square for the first term:
[tex](x^2-2x+1)+(y^2)=8+1[/tex]
Factor and simplify:
[tex](x-1)^2+y^2=9[/tex]
We can rewrite our equation as:
[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
i got it right on edg if right mark as brainliest