Write/Indicate the corresponding measures of 300- 600-900 right triangle.
In a random population, out of 500 people, 160 had blue eyes. In a group of 2500 people, how many would have blue eyes?
======================================================
Work Shown:
(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)
160/500 = x/2500
x = 2500*(160/500)
x = 800
------------
Another approach:
160/500 = 0.32 = 32% of the first group has blue eyes
Assuming this percentage is the same for any group, then,
32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in
point-slope form?
O A +5=4(x-2)
OB. J-5= 4(x-2)
C. + 2 = 4(x-5)
O D.y-5=4(x+2)
Answer:
y - 5 = 4(x + 2)
Step-by-step explanation:
Given:
Slope = 4Point = (-2,5)The point-slope form is in the form of [tex]\displaystyle \large{y-y_1=m(x-x_1)}[/tex]. Determine the followings:
m = slope = 4(x1,y1) = point = (-2,5)Therefore, input these in the formula.
[tex]\displaystyle \large{y-5=4[x-(-2)]}\\\\\displaystyle \large{y-5=4(x+2)}[/tex]
Therefore, the answer to this question is y - 5 = 4(x + 2)
Please let me know if you have any questions regarding my answer or explanation!
Evaluate:
[tex]\bf{\sum^{32}_{n=1}\:(2n+8)[/tex]
Please help A.S.A.P., thank you guys!
Please show work as well.
[tex]\bigstar[/tex]
Explanation:
[tex]\boxed{\sf \sum _{n=1}^{32}\left(2n+8\right)}[/tex]
Formula Required:
[tex]\sf sum \ of \ arithmetic \ series = \dfrac{n}{2} (2a \ + \ (n-1) \ d)[/tex]
Identify the following's:
First Term (a) = (2(1) + 8) = 10Common Difference (d) = 2nd term - first term = (2(2) + 8) - (2(1) + 8) = 2Total Terms (n) = 32Insert variables:
[tex]\rightarrow \ \sf S_{32} = \dfrac{32}{2} (2(10) + (32-1) 2) \quad \xrightarrow{\text{Simplify} } \quad 1312[/tex]
Which of the following best describes ZAOR?
R
142⁰
A
A major arc is an arc that is greater than 180 degrees.
A minor arc is an arc less than 180 degrees.
An acute angle is an angle less than 90 degrees.
What is the central angle?
A central angle is an angle created in the center of a circle with 2 sides being the radius.
Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.
Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.
The correct answer is the central angle as it goes with the definition.
To learn more about the central angle visit:
https://brainly.com/question/10945528
#SPJ1
please help i have no idea how to do this
Answer (Step-by-step explanation):
so X is horizontal and Y is vertical. (X,Y) because X comes first and Y comes last and all you need to do is make sure your points are correct and that the best of my ability, you can also try drawing lines to each pin point and you can estimate these (X,Y) because X=? and Y=? so good luck i hope that helps! (:
A cylinder has a radius of 12 m and a height of 9 m.
What is the exact volume of the cylinder?
108π m³
216π m³
972π m³
1296π m³
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12\\ h=9 \end{cases}\implies V=\pi (12)^2(9)\implies V=1296\pi ~m^3[/tex]
Help please!
preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology
Scientific Notation is EASY.
Just move the decimal to the right if it is positive:
6.2 x 10¹ = 62
6.2 x 10² = 620
6.2 x 10³ = 6,200
6.2 x 10⁴ = 62,000
6.2 x 10⁵ = 620,000
6.2 x 10⁶ = 6,200,000
Move the decimal to the left if it is negative:
6.2 x 10⁻¹ .62
6.2 x 10⁻² = .062
6.2 x 10⁻³ = .0062
6.2 x 10⁻⁴ = .00062
6.2 x 10⁻⁵ = .000062
6.2 x 10⁻⁶ = .0000062
What about about 6.2 x 10⁰?
6.2 It wouldn't change location.
I hope this helps!
can you find a five digit number which has no zeros, and no digit is repeated, and where:
the first digit is a prime number
the second digit is the fith digit minus the first digit.
the third digit is twice the first digit
the forth digit is the third digit plus 3
the fith digit is the diffrence between the first digit and the fourth digit
Answer:
13,254
hope this helps :)
please crown me brainliest!
what is the surface area of the triangular prism? 15ft 9ft 24ft 40ft 15ft PLEASE BE FAST ILL GIVE BRAINLIESTTT TODAYS MY LAST DAY AG SCHOOL TO AHH
Answer:
B. 2376 Square feet
--------------------------------------------------
Solve for x: 1 over 3 (2x − 8) = 4. (1 point)
Group of answer choices
2
6
10
10 over 3
Answer:
x=6
Step-by-step explanation:
[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]
5. Find the equation of the line in slope-intercept form.
a. (1,-6) and (-7, 2)
Step-by-step explanation:
y=1x-(-6)
y=-7x-2
follow and label y and x inside the equation
make sure you draw a graph to help you find the intercept form.
Daisy is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 10 inches. One triangle has a base of 8 inches, and the other is 12 inches.
The total area of the two triangles is _____ square inches.
Answer:
The total area of the two triangles is 100 square inches.
Step-by-step explanation:
Solution:
Area of one triangle:
Height = 10 inches
Base = 8 inches
Area of triangle =
= 40 square inches
Area of another triangle:
Height = 10 inches
Base = 12 inches
Area of triangle =
= 60 square inches
Total area of the two triangles = 40 square inches + 60 square inches
= 100 square inches
The total area of the two triangles is 100 square inches.
hope that helped:)
Kevin bought 6lbs of jelly beans. Antonio bought 66oz of jelly beans.
How many more did Kevin buy than Antonio?
Answer:
30 ounces (1 pound 14 ounces)
Please give brainliest!
Hope this helps:)
To find this, we first need to convert 6 lbs into ounces
lb = 16 ounce
6 lbs = 96 ounces!
96-66 = 30
Kevin bought 30 more ounces, or 1 pound and 14 ounces more jelly beans than antonio.
What percent of the first 20 natural numbers are one-diget numbers
Answer:
9/20 or forty five percent (45%)
Bart had 36 marbles. he gives all of his marbles to four friends. he gives each friend the same number of marbles. how many marbles does each friend have?
Answer:
9
Step-by-step explanation:
He had 36 Marbles and he gives all to his four friends. And all friends get the same number of marbles so we will have to do division which will be :
36{marbles} divide by 4{friends}=9 so each friend got 9 marbles.
Each friend will have 9 marbles
What is division?
Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
The division is an operation inverse of multiplication. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.
Given that:
[tex]4x=36[/tex]
[tex]36[/tex] ÷ [tex]4[/tex] [tex]=9[/tex]
Therefore, each friend will have 9 marbles
KEYWORDS:
equaldivideshareremainderleft overLearn more about division here:
brainly.com/question/1974422
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each radical expression to the corresponding expression in rational exponent form.
The radical expressions and their corresponding expression in rational exponent form are
[tex]972^\frac 15 = 3\sqrt[5]{4}[/tex], [tex]448^\frac 13 = 4\sqrt[3]{7}[/tex], [tex]3528^\frac 12 = 42 \sqrt 2[/tex] and [tex]4050^\frac 14 = 3\sqrt[4]{50}[/tex]
How to match the tiles?We start by evaluating each expression as follows:
[tex]972^\frac 15[/tex]
Expand 972
[tex]972^\frac 15 = (243 * 3)^\frac 15[/tex]
Take the 5th root of 243
[tex]972^\frac 15 = 3* (4)^\frac 15[/tex]
Rewrite as:
[tex]972^\frac 15 = 3\sqrt[5]{4}[/tex]
Next, we have:
[tex]448^\frac 13[/tex]
Expand 448
[tex]448^\frac 13 = (64 * 7)^\frac 13[/tex]
Take the 3rd root of 64
[tex]448^\frac 13 = 4 * (7)^\frac 13[/tex]
Rewrite as:
[tex]448^\frac 13 = 4\sqrt[3]{7}[/tex]
Next, we have:
[tex]3528^\frac 12[/tex]
Expand 3528
[tex]3528^\frac 12 = (1764 * 2)^\frac 12[/tex]
Take the square root of 1764
[tex]3528^\frac 12 = 42 * (2)^\frac 12[/tex]
Rewrite as:
[tex]3528^\frac 12 = 42 \sqrt 2[/tex]
Lastly, we have:
[tex]4050^\frac 14[/tex]
Expand 4050
[tex]4050^\frac 14 = (81 * 50)^\frac 14[/tex]
Take the 4th root of 81
[tex]4050^\frac 14 = 3 (50)^\frac 14[/tex]
Rewrite as:
[tex]4050^\frac 14 = 3\sqrt[4]{50}[/tex]
Read more about radical expressions at:
https://brainly.com/question/8952483
#SPJ1
The volume of a rectangular pyramid is 220 units^3
3
. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 10 units, find the height of the pyramid.
Answer:
h = 11 units
Step-by-step explanation:
Volume of a Rectangular Pyramid = lwh/3
220 = 6*10*h/3
(220) * (3) = ((6)*(10)*(h) / 3) * 3
660 = (6) (10) (h)
Simplify both sides of the equation.
660 = 60h
h = 11 units
I WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z
Answer:
(a) y = 25°
(b) x = 90°
(c) z = 25°
Step by step explanation:
Part A
z + 90° + 65° = 180°
z = 180° - 65° - 90°
z = 25°
Part B
x + 90° = 180°
x = 90°
Part C
x + 65° + y = 180°
90° + 65° + y = 180°
y = 25°
Additional:A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.
tion of the process. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is paid off. How many months does it take you to pay it off and how much is the total interest you paid? Rocura
Answer:
Select four types of data demographers study to make predictions.
birth rate
death rate
employment
income
marriage
migration
kgf chapter 2
VOLINCE VOLINCE VOLINCE
pushpa RajMichael plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
n = 3m. Think of it this way: every month, this guy is watching 3 movies. So in 1 month, he's watched 3. In 2 months, he's watched 6. So the total number of movies that he's watched in months is 3 * however many months, which the problem is saying noting as 'm'
What is the sphere's volume?
Answer:
[tex]972\pi~ \text{in}^3[/tex]
Step-by-step explanation:
[tex]\text{Volume of sphere} = \dfrac 43 \pi r^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \left( \dfrac d{2} \right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \cdot \left(\dfrac{18}{2}\right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{4\pi}3 \cdot 9^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=972\pi~ \text{in}^3[/tex]
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
Piece wise functions
Answer:
f(-5) = -6
f(-2.6) = 2.4
f(2.1) = 9.41
Step-by-step explanation:
In the question, we are told to find f(-5), f(-2.6), and f(2.1). The numbers in the parentheses represent x.
First, let's look at f(-5). Which equation should we use because x is -5? We should use the first equation because -5 is less than -3. Plug into the equation and solve:
f(-5) = -6 (We didn't have to do much because anything less than -3 equals -6)
Now, let's look at f(-2.6). We should use the equation in the middle because -2.6 is between -3 and 0. Plug -2.6 in the equation and solve:
f(-2.6) = -2.6 + 5
f(-2.6) = 2.4
Lastly, let's look at f(2.1). We should use the third equation because x is greater than 0. Plug 2.1 in the equation and solve:
f(2.1) = [tex](2.1)^{2} +5[/tex]
f(2.1) = 4.41 + 5
f(2.1) = 9.41
Therefore, the final answers are:
f(-5) = -6
f(-2.6) = 2.4
f(2.1) = 9.41
Hope this helps!! If you have questions about my work, please let me know in the comments!
esi ran around a rectangular swimming pool 31 times if the distance around the pool is 800m. find the total distance covered by esi km and m
Answer:
24,800m or 24.8km or 24km 800m
Step-by-step explanation:
Perimeter of Rectangle (Given) = 800m or (800/1000)km = 0.8km
Total Distance covered by esi = Perimeter of Rectangle x Number of round ran
= 800m or 0.8km x 31
= 24,800m or 24.8km or 24km 800m
Not sure how you want the answer in so I came up with all possible answers.
Answer:
24.8km
24800m
Step-by-step explanation:
800 x 31 = 24800
24800m
to convert 24800m into km, we divide 24800 by 1000
24800/1000 = 24.8
24.8 km
hope this helps:)
Given: The two functions below, f(x) and g(x). Find: How do the value of each functions outputs compare when x=0?
f(x)< g(x).
g(x)=f(x)
f(x)> g(x)
We will see that, when evaluated in x = 0, g(x) is larger than f(x).
How to compare the functions when x = 0?First, we can see that:
g(x) = x + 3
Then, evaluating it in x = 0 we get:
g(0) = 0 + 3 = 3
Now, if we go to the table that represents f(x), we can see that it has the point (0, -6).
Then we can get:
f(0) = -6
With that, we can conclude that: g(0) > f(0), so the correct option is the first one.
If you want to learn more about evaluating functions:
https://brainly.com/question/1719822
#SPJ1
This box plot shows information about the marks scored in a test.
Nobody gained exactly 30, 48 or 70 marks.
120 students gained less than 70 marks.
How many students gained more than 48 marks?
Look at the picture pls don't answer in pictures
4 people completed their work in one hours how will it take 3 peoples to finish it give your answer in minutes
60/4= 15
15 x 3 =45 minutes
Jaime had ten posters, but only five could fit on his closet door. how many
different ways can he arrange the five posters out of the ten on his closet
door?
i accidentally chose a.
There are 30240 different ways can he arrange the five posters out of the ten on his closet door
How to determine the number of arrangements?The given parameters are:
Total, n = 10Posters to arrange, r = 5The number of ways is calculated as:
Ways =[tex]^nP_r[/tex]
This gives
Ways =[tex]^{10}P_5[/tex]
Apply the permutation formula
Ways = 30240
Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door
Read more about permutation at:
https://brainly.com/question/11732255
#SPJ1