Answer:
two bases
............
helppppp this is so confusing
Answer:
on the graph all u have to do is draw the line Have a great day and i hope this helps!
Step-by-step explanation:
Write a formula for the area of a pentagon in terms of perimeter P\text{.}
The denominator, 4√(5 - 2√5), is a constant value specific to regular pentagons and is derived from the geometric properties of the shape.
The formula for the area of a pentagon in terms of its perimeter P can be expressed as:
\[ A = \frac{P^2}{4\sqrt{5 - 2\sqrt{5}}} \]
In this formula, A represents the area of the pentagon, and P represents its perimeter.
It's important to note that this formula assumes that the pentagon is a regular pentagon, meaning all sides and angles are equal. For irregular pentagons with different side lengths or angles, the area formula would be more complex and specific to the given dimensions.
The formula derives from the relationship between the perimeter and the area of a regular pentagon. By using trigonometry and geometry, it is possible to calculate the area based on the perimeter alone.
The denominator, 4√(5 - 2√5), is a constant value specific to regular pentagons and is derived from the geometric properties of the shape.
By substituting the given perimeter value into this formula, you can calculate the corresponding area of a regular pentagon.
Learn more about denominator here
https://brainly.com/question/20712359
#SPJ11
which point is closer to the x-axis (0.7, 21) or (0.77, 10)
Answer:
As
\(d_A=21\)\(d_B=10\)Therefore, point B is closer to the x-axis.
Please check the attached graph.
Step-by-step explanation:
We know that:
x-coordinate of any point P(x, y) gives its distance of that point from the y-axisy-coordinate of any point P(x, y) gives its distance of that point from the x-axisGiven the points
(0.7, 21)(0.77, 10)Let us say
A(0.7, 21)B(0.77, 10)FOR POINT A(0, 7)
As the y-coordinate of point A(0.7, 21) ⇒ y = 21We know that the y-coordinate of any point P(x, y) gives its distance of that point from the x-axis
Thus, the distance of point A(0.7, 21) from the y-axis is 21 units.
i.e.
\(d_A=21\)
FOR POINT B(0.77, 10)
As the y-coordinate of point A(0.77, 10) ⇒ y = 10We know that the y-coordinate of any point P(x, y) gives its distance of that point from the x-axis
Thus, the distance of point B(0, 7) from the y-axis is 10 units.
i.e.
\(d_B=10\)
As
\(d_A=21\)\(d_B=10\)Therefore, point B is closer to the x-axis.
Please check the attached graph.
Answer:
a=10
b=20
Step-by-step explanation:
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
Equally Likely
Step-by-step explanation:
The answer is equally likely because equally likely events have the same probability of happening as another event.
For example, a fair coin.
It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.
Hope this helps!
If an event has a probability of 1/2 then the likelihood of this event is,
C. Equally likely.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.
A fair coin is an illustration.
Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.
learn more about probability here :
https://brainly.com/question/743546
#SPJ7
When 5,708,100,000 is written in scientific notation, the decimal number will be multiplied by the ninth power of 10.
Answer: True
Step-by-step explanation: 5,708,100,000 in scientific notation is 5.7081 × 10^9
Hope this is right and makes sense.... I'm really sorry if it is wrong
what is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is even (if the possibility of the two integers being equal is allowed)?
We have that, the probability is given by 221/441.
How do we calculate the probability?The probability of the sum of two randomly chosen integers between 20 and 40 inclusive being even can be calculated using the formula: P(Even) = P(Even + Even) + P(Odd + Odd) = (P(Even))^2 + (P(Odd))^2
First, we need to determine the probability of choosing an even integer and the probability of choosing an odd integer. There are a total of 21 integers between 20 and 40 inclusive (40 - 20 + 1 = 21), and 11 of them are even (20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40) while 10 of them are odd (21, 23, 25, 27, 29, 31, 33, 35, 37, 39).
Therefore, P(Even) = 11/21 and P(Odd) = 10/21.
Plugging these values into the formula, we get:
P(Even) = (11/21)^2 + (10/21)^2 = 121/441 + 100/441 = 221/441
So the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is even is 221/441.
Read more; https://brainly.com/question/24756209
#SPJ11
Ryan is selling a new computer system that he designed. He spent $200
and wants a markup of 50%. What should he price the computer system?
Answer:
Ryan should mark the price as $300.
Step-by-step explanation:
If he wants to markup his price by 50%, you first take 50% of $200 which is $100, then you add it to the original price 200+100= $300
Jessica's shop sells 7 quarts of ice cream each day. How much is this in pints?
Answer:
14
Step-by-step explanation:
a pint is 1/2 of a quart so to find the number of pints multiply the number of quarts by two
5.
Alice is making a sculpture that is in the shape of a square pyramid on
top of a square prism. She wants to make it out of metal, fill it with
silicone and then paint it. Find the Surface Area and Volume for the
decomposable solid described below and then determine the cost of the
silicone, metal and the paint: [40 marks]
The Square Pyramid fits perfectly atop the Square Prism. The base of the
prism is a square with sides of 5 cm. The height of the prism is 8 cm.
The pyramid has a slant height of 3cm. There is no surface between the
pyramid and the prism.
Paint
$0.75 per 10
cm²
Pyramid
Cost of Materials
Metal
$12.25 per 100
cm²
Using a ruler, sketch the net of each of the parts of the sculpture. [4]
marks]
Silicone
$40/liter
Prism
Volume of the square prism is 200 cm³
Surface area of the square pyramid is 55 cm²
Total volume is 212.5 cm³
How to calculate the volumeThe base of the square prism is a square with sides of 5 cm. The height of the prism is 8 cm. Therefore, the surface area of the square prism is:
Surface area of one face of the square prism = (5 cm x 8 cm) = 40 cm²
There are 6 faces in a cube, therefore total surface area of the square prism = 6 x 40 cm² = 240 cm²
Volume of the square prism = (5 cm x 5 cm x 8 cm) = 200 cm³
The base of the square pyramid is also a square with sides of 5 cm. The slant height of the pyramid is 3 cm. The height of the pyramid can be found using the Pythagorean theorem:
Height² = slant height² - (1/2 base length)² = 3² - (1/2 x 5)² = 9 - 6.25 = 2.25
Height = √2.25 = 1.5 cm
Surface area of the square pyramid = (0.5 x base perimeter x slant height) + base area = (0.5 x 20 cm x 3 cm) + (5 cm x 5 cm) = 30 cm² + 25 cm² = 55 cm²
Volume of the square pyramid = (1/3 x base area x height) = (1/3 x 5 cm x 5 cm x 1.5 cm) = 12.5 cm³
The total surface area of the decomposable solid is:
Total surface area = Surface area of square prism + Surface area of square pyramid = 240 cm² + 55 cm² = 295 cm²
The total volume of the decomposable solid is:
Total volume = Volume of square prism + Volume of square pyramid = 200 cm³ + 12.5 cm³ = 212.5 cm³
The cost of materials includes the cost of metal for the sculpture, silicone for filling the sculpture, and paint for painting the sculpture.
The cost of metal for the sculpture is:
Cost of metal = (Total surface area x Cost per 100 cm²) = (295 cm² x $12.25/100 cm²) = $36.14
The cost of silicone for filling the sculpture is:
The volume of the decomposable solid is 212.5 cm³
The cost of silicone is $0.25 per cm³
Cost of silicone = (Volume of sculpture x Cost per cm³) = (212.5 cm³ x $0.25/cm³) = $53.13
The cost of paint for painting the sculpture is:
The total surface area of the decomposable solid is 295 cm²
The cost of paint is $0.75 per 10 cm²
Cost of paint = (Total surface area x Cost per 10 cm²) = (295 cm² x $0.75/10 cm²) = $22.13
Therefore, the total cost of materials for the sculpture is:
Total cost of materials = Cost of metal + Cost of silicone + Cost of paint = $36.
Learn more about volume on
https://brainly.com/question/27710307
#SPJ1
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
What is the midpoint of the longest side of the triangle with vertices (1,4),(3, 4), and (3, 6)?
A, (1, 1)
B, (2, 4)
С, (2,5)
D,(3,5)
Answer:
(2, 5)
Step-by-step explanation:
The longest side of the triangle will be the side with the coordinate (1,4) and (3,6) due the value of the distance between them;
Midpoint = (x1+x2/2, y1+y2/2)
X = 1+3/2
X = 4/2
X = 2
Y = 4+6/2
Y = 10/2
Y = 5
Hence the required midpoint (X, Y) will be at (2, 5)
Need help plz I’m confused
Answer:
Vertical Shift
Step-by-step explanation:
The blue line is the original graph. The green one is the new graph. So, the blue graph moves up to where the green graph is. In other words, the line moves up, which is a vertical shift.
Write a story about temperatures that this expression could represent:
27 + (–11)
A living room has a circular rug. According to a small tag, the rug has a circumference of 12.56 meters. What is the rug's diameter? Use 3.14 for .
Answer:
4 m
Step-by-step explanation:
The circumference of a circle is the product of π and the diameter.
C = πd
12.56 m = 3.14d
d = 12.56 m/3.14 = 4 m
The rug's diameter is 4 meters.
find the height of a cylinder with a volume of 100 cm3 and a radius of 4 cm.
Answer:
height = 1.99 cm
Step-by-step explanation:
volume = pi times radius squared times height
height = volume divided by (pi times radius squared)
height = 100 divided by (pi times 4 squared)
height = 100 divided by (3.14 times 16)
height = 100 divided by 50.24
height = 1.99044585987 cm
What is the surface area of this right prism?
Enter your answer in the box.
cm²
Right triangular prism. The right triangle base has a horizontal leg labeled 4 centimeters and the vertical height of 3 centimeters. The other side is labeled 5 centimeters. The height of the prism is labeled 7 centimeters.
Answer:
117 cm²
Step-by-step explanation:
Right triangular prism: 5 surfaces
SA: 2 triangles + 3 rectangles
Triangles
A = bh/2
A = (4 · 3)/2 = 12/2
6 cm²
Rectangles
A = bh
A = 5 · 7
35 cm²
Total
SA: 2 triangles + 3 rectangles
SA: 2(6) + 3(35)
117 cm²
Hope this helps and God bless!
i give yall crown please help me i need sm help PLEASEEEEEEEEEEEEEEEEEEEEEEEEE dont bs
Answer:
(-1, 7)
Step-by-step explanation:
Step 1 - Make the two equations equal the same:
3x + y = 4
2x + y = 5
Add 1 to the first equation:
3x + y + 1 = 5
2x + y = 5
3x + y + 1 = 2x + y
Step 2 - Subtract 2x from both sides to isolate y:
3x + y + 1 = 2x + y
3x - 2x + y + 1 = 2x - 2x + y
x + y + 1 = y
Step 3 - Subtract y from both sides:
x + y + 1 = y
x + y - y + 1 = y - y
x + 1 = 0
x = -1
Step 4 - Plug known variable back into the first equation:
3x + y = 4
3(-1) + y = 4
-3 + y = 4
Step 5 - Add 3 to both sides to isolate the y:
-3 + y = 4
-3 + 3 + y = 4 + 3
y = 7
Meaning the two coordinates are:
x = -1
y = 7
Or:
(-1, 7)
Hope this helps!
Graph both equations
We use the graphical way to solve it
Solution is
(-1,7)Option A
NEED HELP FAST:
Which mixed number is equivalent to the improper fraction?
35/6
A. 5 1/5
B. 5 5/6
C. 5 1/6
D. 6 5/6
Answer:
B- 5 5/6
Step-by-step explanation:
35 divided by 6 is 5 meaning there are 5 whole numbers in the fraction you then figure out how many 6 the remaining amount is which in this case is 5 so the answer is 5 5/6 hope this helps!
The graph of y=√x is translated 4 units left and 1 unit up to create the function h(x). The graph of h(x) is shown on the coordinate grid.What is the range of h(x)?
{y|y ≥-4}
{y|y ≥ -1}
{y|y ≥ 1}
{y|y ≥ 4}
Answer:
(c) {y|y ≥ 1}
Step-by-step explanation:
You want the range of the square root function after it has been translated left 4 units and up 1 unit.
RangeThe range of the function is the vertical extent of its graph. The original square root function has a range of y ≥ 0. Translating it up 1 unit gives it a range of ...
y ≥ 1
= 7(8n - m ) how do I rewrite this in distributive property?
56n - 7m
Explanations:Note that according to the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
Therefore, follow the rule above to rewrite 7(8n - m) using the distributive property.
7(8n - m) = 7(8n) - 7m
7(8n - m) = 56n - 7m
Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
O reduction; 1/2
O enlargement; 2
Oreduction; 2
O enlargement;
1/2
Answer:
enlargement ; 2
Step-by-step explanation:
dilation is change in the size of the figure.
in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.
scale factor = dimension of new shape / dimension of original shape
let's calculate the difference in terms of boxes of both figures to calculate the scale factor,
scale factor = 6/3
thus, in the given dilation we have enlargement of 2
A certain treatment facility claims that its patients are cured after 45 days. A study of 150 patients showed that they, on average, had to stay for 56 days there, with a standard deviation of 15 days. At a=0.01, can we claim that the mean number of days is actually higher than 45? Test using a hypothesis test.
The mean number of days for the patients to stay in the facility is actually higher than 45 days.
The null hypothesis for the problem is that the mean number of days for patients to stay in the facility is 45 days. The alternative hypothesis is that the mean number of days is greater than 45 days. The sample size is 150 patients and the mean is 56 days with a standard deviation of 15 days.
We will be using a one-tailed z-test with a significance level of 0.01.
The formula for the z-score is:
z = (x – μ) / (σ/√n)
Where,
x= sample mean
μ = population mean
σ = sample standard deviation
n = sample size
z = (56 - 45) / (15/√150)
z = 11/2.5
z = 4.4
Since 4.4 > 2.575 (critical z value at 0.01), we reject the null hypothesis and conclude that the mean number of days for the patients to stay in the facility is actually higher than 45 days.
Therefore, the mean number of days for the patients to stay in the facility is actually higher than 45 days.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
#SPJ4
the two congruent sides of an isosceles triangle form the
In an isosceles triangle, the two https://brainly.com/question/28412104 form the two equal angles opposite those sides.
An isosceles triangle is a type of triangle that has two sides of equal length. The two congruent sides are referred to as the legs of the triangle, while the remaining side is known as the base. The key property of an isosceles triangle is that the angles opposite the congruent sides are also equal. This means that the triangle has two equal angles formed by the congruent sides and a third angle formed by the base.
To understand why the congruent sides form equal angles, consider the following: When two sides of a triangle are equal in length, it implies that the opposite angles they form are also equal. This is known as the Isosceles Triangle Theorem. In an isosceles triangle, the two congruent sides are equal in length, which means the angles opposite those sides must also be equal. Therefore, the two congruent sides of an isosceles triangle form the two equal angles opposite them.
Learn more about isosceles triangle here:
https://brainly.com/question/28412104
#SPJ11
Help me 5th grade math
Answer:
Step-by-step explanation:
no of yellow golf=1/7*28
=28/7
=4
no of white golf=5/7*28
=140/7
=20
no of green golf=total golf-(yellow golf + white golf)
=28-(4+20)
=28-24
=4
therefore he has 4 green balls
identify the initial amount a and the growth factor b in the exponential function: f(X) = 610 • 7.54
The initial amount is 610 and the growth factor is 7.54.
What is an exponential function?
An exponential function has the form f(x) = a*b^x, where a is the initial amount, also called the y-intercept, and b is the growth factor.
In the function f(X) = 610 • 7.54, the initial amount is a = 610, and the growth factor is b = 7.54.
Hence, the initial amount is 610 and the growth factor is 7.54.
To learn more about the exponential function, visit:
https://brainly.com/question/2456547
#SPJ1
The initial amount is 610 and the growth factor is 7.54.
What is an exponential function?An exponential function has the form f(x) = a*b^x, where a is the initial amount, also called the y-intercept, and b is the growth factor.
What is growth factor?A growth factor is a naturally occurring substance that stimulates a cell to grow, divide, and differentiate. Growth factors are typically proteins or peptides that bind to specific receptors on the surface of cells, triggering signaling pathways that lead to cell proliferation and survival.
In the function f(X) = 610 • 7.54, the initial amount is a = 610, and the growth factor is b = 7.54.
Hence, the initial amount is 610 and the growth factor is 7.54.
To learn more about the exponential function, visit:
brainly.com/question/2456547
#SPJ1
What is the value of CGD
What is the vertex of f(x) = 3|x|
Answer:
\(3 \times |x| = 0 \\ 3 \times |x| \div 3 = 0 \div 3 \\ |x | = 0 \\ x = 0\)
Help please!!! I have to submit this today
Peter cycles at 15 km/h. How long will it take to cycle 56-km? with steps
Answer:
3.7 hrs
Step-by-step explanation:
Speed = 15km/ 1 h
Distance = 56 km
Time = x
15/1 = 56/x
x= 56 / 15 ~ 3.7 hrs
I hope im right!!
Parents wish to have $120,000 available for a child's education. If the child is now 4 years old, how much money must be set aside at 5% compounded semiannually to meet their financial goal when the child is 18? The amount that should be set aside is (Round up to the next dollar, as needed.)
The principle amount that should be set aside for children's education is $ 60106.
The age of child is now 4 years. The year of maturation is 18 years.
So the time is (t) = 18 - 4 = 14 years.
So the amount after 14 years should be (A) = $ 120000.
Let the principle should be set aside be P.
The rate of compound interest semiannually is (r) = 5 %
Since the compound interest is semiannually. So,
A = P (1 + r/200)²ᵗ
So substituting the values in place of variables we get,
120000 = P (1 + 5/200)²*¹⁴
120000 = P (1.025)²⁸
P = 120000/(1.025)²⁸ = 60106 (rounding off to next dollar)
Hence the the amount that should be set aside is $ 60106.
To know more about compound interest here
https://brainly.com/question/29064241
#SPJ4