17Answer:
Step-by-step explanation:
The area of ΔNOP is approximately 2.11 square centimeters, rounded to the nearest 10th of a square centimeter.
How to find the area of a triangle whose vertices' coordinates are given?Suppose the vertices of the considered triangle ABC are on A(A_x,A_y), B(B_x,B_y), C(C_x,C_y), then, the area of the triangle is given by:
[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]
We are given that;
Side P=2.5cm
Side N=2.3cm
Angle O=71
Now, to find the area of a triangle, we can use the formula:
A = (1/2) * base * height
where base and height are two sides of the triangle that form a right angle, or any two sides of the triangle if we know the included angle between them.
In this case, we are given the lengths of two sides, p and n, and the measure of one angle, ∠O. To find the area, we need to first find the length of the third side, OP, using the Law of Cosines:
OP² = p² + n² - 2pn cos(∠O)
OP² = 2.5² + 2.3² - 2(2.5)(2.3) cos(71°)
OP² = 4.2694
OP ≈ 2.067 cm
Now we can use the formula for the area of a triangle:
A = (1/2) * OP * n * sin(∠O)
A = (1/2) * 2.067 * 2.3 * sin(71°)
A ≈ 2.11 cm²
Therefore, the area of triangle NOP will be 2.11 square centimeter.
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The scatter plot below shows the relationship between two variables, x and y. Which line best fits the data? У 30 25 20 15 10 5 У 30 25 20 15 10 5- 0 2 3 5 x 1 2 3 4 5 X y 30- 25 20- 15- у 30 25 20- 15 10- 5- 0 0 10- 5- 0 0 1 2 x 3 4 5 5 4 1 2 3
The variables on a scatter plot are related using the equation of a straight line graph; y = mx + c.
What is a scatterplot?Since the options are unclear, I will try to help you as much as possible. A scatter plot is an arrangement in which one variable is plotted on the vertical axis and another is plotted on the horizontal axis.
The variables on a scatter plot are related using the equation of a straight line graph; y = mx + c. Using this relation, we can establish the equation of the scatter plot.
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There is a photo. No explanation needed just answer thank you
Closest to the shaded area
Answer:
B) 30.9
Step-by-step explanation:
So, because the radius is 6, we know the diameter is 12, meaning we know each side is 12, so the total area of the square is 144.
To find the area of a square we should use pi(r) ^2 which is pi(6) ^2 which is 113.09. to find the area of the shaded are we would subtract these. 144- 113.09 this gets us 30.91, this is closest to B) 30.9
Figure B is a scale image of Figure A, as shown. What is the scale factor applied to
Figure A to produce Figure B?
Hey guys I need help please show your work worth 20 points
-8x-14>2
-
Answer:
x > - 2
Step-by-step explanation:
- 8x - 14 > 2
- 8x - 14 + 14 > 2 + 14
- 8x > 16
- 8x ÷ - 8 > 16 ÷ - 8
x > - 2
What is the area of the trapezoid in the coordinate plane? Show your work.
NEED HELP PLZZZ
Answer:
A=36 square units
Step-by-step explanation:
the diameter is a circle is 16in. Find it’s circumference in terms of π.
C= ________in
According to the question,
Diameter of circle = 16 inWe are asked to calculate it’s circumference in terms of π.
★ Circumference of circle = 2πr
___________________________________
Let us first calculate the radius of the circle.
→ Diameter = 2 × Radius
→ 16 in = 2r
→ r = 16 in ÷ 2
→ r = 8 in
___________________________________
Substituting values in the formula of circumference,
→ C = 2πr
→ C = (2 × π × 8) in
→ C = 16π in
Therefore, 16π inches is the required answer.
In a sale, normal prices are rediced by 10% Nathalie bought a pair of shoes in a sale for 54
Answer:
they take 5 dollars and 40 cents off of it so it would be $48.60
A random sample of internet subscribers from the west coast of the United States was asked if they were
satisfied with their internet speeds. A separate random sample of adults from the east coast was asked the same
question. Here are the results:
A market researcher wants to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to east coast subscibers who
responded "yes"?
You may round your answer to the nearest hundredth.
Answer:
19.2
Step-by-step explanation:
khan
The expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to first calculate the expected frequencies for each cell under the assumption that the null hypothesis of homogeneity is true.
The null hypothesis of homogeneity assumes that the proportion of internet subscribers satisfied with their internet speeds is the same on both the east and west coasts of the United States.
To calculate the expected frequencies, we can use the formula:
Expected frequency = (row total x column total) / grand total
For the cell corresponding to east coast subscribers who responded "yes":
Expected frequency = (row total for east coast x column total for "yes") / grand total
= (80 x 48) / 200
= 19.2
Therefore, the expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.
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-y = 7x+5 written in standard form
Answer:
7x+y=-5
Step-by-step explanation:
-y=7x+5
7x+y=-5
The order of numbers is not important in ____________ of rational numbers.
Answer:
addition?
Step-by-step explanation:
Which of the following can cause market failure?
too much mobility
too much competition
not enough information
too much information
Answer: C
Step-by-step explanation: not enough information
please helps?!?!?!?!?!?!?!?!?!
Answer:
[tex]47x^3\sqrt{5x}[/tex]
Step-by-step explanation:
The objective is to combine the terms to make one radical, so therefore we know that we will have to take a [tex]\sqrt{5}[/tex] out of the second radical [tex]\sqrt{180}[/tex].
If we divide 180 by 5, we will get 36, so now we have
[tex]\sqrt{180}=\sqrt{5}[/tex]×[tex]\sqrt{36}[/tex]
[tex]\sqrt{36}[/tex] can be simplied into just 6.
So now the expression becomes
[tex]-\sqrt{5x^7}+8x^2*6 \sqrt{5x^3}[/tex]
Then we can further simplify by moving the [tex]x^{2}[/tex] into the radical to get two common terms with [tex]\sqrt{5x^7}[/tex].
[tex]x^{2} =\sqrt{x^4}[/tex], so we now have
[tex]-\sqrt{5x^7}+ 8\sqrt{x^4} *6 \sqrt{5x^3}[/tex]
So then we can combine the two radicals to get the expression to
[tex]-\sqrt{5x^7}+48\sqrt{5x^7}[/tex]
We now see that we have two terms with a common radical, and coefficients of -1, and 48.
That allows us to simplify further to
[tex]47\sqrt{5x^7}[/tex]
Here, we can take out [tex]\sqrt{x^6}[/tex], which is [tex]x^3[/tex], and get the final simplied form to be
[tex]47x^3\sqrt{5x}[/tex]
Hope this helped.
What is the area of this figure? 5 in 6 in 15 in 16 in 10 in 20 in
Answer:
230 in.²
Step-by-step explanation:
20 · 10 = 200 in.²
5 · 6 = 30 in.²
200 in.² + 30 in.²
Answer:
230 sq in
Step-by-step explanation:
You can find entire area (20 x 16) and subtract out the area of the missing piece (15 x 6)
20 x 16 = 320
15 x 6 = 90
320 - 90 = 230
Two functions are shown. f(x) = 3x+1 g(x) =-3/2X-7 What is the value of x when f(x) = g(x)
Answer:
-1.778
Step-by-step explanation:
The two lines cross at the point (-1.778,-4.333), but the x value is -1.778
Hope this helps
Let’s figure out one more adjustment for the butterscotch chip cookies. The butterscotch chip cookie recipe calls for 12 ounces of chips for every 2 cups of flour. How many ounces of chips are needed if 3 cups of flour are added?
Remember to keep your units consistent.
I believe it would 18 ounces of chips for 3 cups of flour. If you take half of 12 ounces then you get 6 ounces per cup of flour. Adding 6 ounces to the 12 would get us the total of the 18 ounces.
6c + 7c + 5y + 2c + 7y
Thank u ahead of time:)
Answer:
15c+12y
Step-by-step explanation:
6c + 7c + 5y + 2c + 7y
13c+2c +12y
15c+12y
have a great day!
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
In order to select new board members, the French club held an election. 30% of the 20 members of the club voted. How many members voted?
Answer:
6
Step-by-step explanation:
30%*20 = 6
Place an X in the table to match the diameter of each circle with its approximate area.
Use 3.14 for 11.
7
314 m?
706.5 m?
1,256 m
2,122.64 m2
30 m
40 m
52 m
Answer:
bjbjy
Step-by-step explanation:
list the factors of 15
Answer: 1, 3, 5, 15.
Step-by-step explanation: Factors of 15: 1, 3, 5, 15
Can someone help me out my grads are bad
Answer:
5/10 + 1/10 = 6/10 or if you simplify it 3/5
Step-by-step explanation:
1/2 = 5/10
1/10 = 1/10
5/10 + 1/10 = 6/10
6/10 = 3/5
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
1/2 + 1/10 = 5/10+ 1/10 = 3/5
Step-by-step explanation:
Find the LCD of 2 and 10 (10)
Add the two together (6/10)
Reduce (3/5)
Have a good day :)
if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number
Answer:
Answer is 13.5
Step-by-step explanation:
13.5 - 12 = 1.5
1.5 X 12 = 18
The figure shown is made of two rectangular prisms.
13 in.
1 in.
2 in
5 in.
5 in.
8 in.
Which expression can be used to find the volume of the figure?
A. (13x1x1) + (8 x 2 x 2)
B. (13 x 2 x 1) + (7x2x3)
C. (13+1 +2+5) + (8 +1 + 2)
D. (13+1+4) X (8 + 2 + 2)
E. (13+2+1) X (7+2+3)
Answer:
I believe That the answer is c.
Step-by-step explanation:
The question shows what it should look like, and C matches the question.
Help me please help, me help me help me help me help me help me help me help me
A- x=A
B- x=27
C- x=3
D- x=4
E- x=17
ANSWER- A and C
Hope this Helped! :T
There is just enough water in the container to exactly fill the
hemisphere. The container is held so that the point of the cone
is down and the altitude of the cone is exactly vertical. Find the
height of the water in the cone. Round to the nearest tenth.
Answer: hello your question is Vague hence I will provide a general solution. in which you can input your values into and get your answer.
answer = h = 3 ( V / π r^2 )
Step-by-step explanation:
The volume of a cone is exactly the volume of a hemisphere, given that the radius and height are the same .
The height of the water in the cone = height of the hemisphere / height of cone ( given that the water completely fills the hemisphere )
∴ h = 3 ( V / π r^2 )
solve 3x by 4 - 2x+5 by 3 = 5 by 2
Answer:
50
Step-by-step explanation:
The given equation is,
→ 3x/4 - (2x + 5)/3 = 5/2
→ 3x × 3 - 4(2x +5)/12 = 5/2
→ 9x - 8x -20/12 = 5/2
→ (x - 20)/12 = 5/2
→ x - 20 / 6 = 5
→ x - 20 = 30
→ x = 20 + 30
→ x = 50
• Hence the value of x is 50 .Answer:
x=50
Step-by-step explanation:
what is the sum of the integers between the square root of 37 and the square root of 98?
Keisha buys 2/3 dozen bagels for $4.80.
Answer:
Im sorry but your going to have to provide more information for me to answer my G!
Step-by-step explanation:
Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?
Answer:
785.5ft
Step-by-step explanation:
Given data
Diameter= 250ft
Radius= D/2= 250/2= 125ft
The total steel required can be found from the Circumference
C= 2πr
C= 2*3.142*125
C= 785.5ft
Hence the total steel required is 785.5ft