Answer:
C. 40
Step-by-step explanation:
20 + 4x = 180
subtract 20 from both sides
4x = 160
Divide both sides by
x = 40
What is the distance between (-2,-8)(7,-3)
Answer:
[tex]\sqrt{106}[/tex] or 10.29563
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer:
[tex]\displaystyle d = \sqrt{106}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-2, -8)
Point (7, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?
Answer:
The radius is 4 units, and the equation of the circle is:
(x - 3)^2 + (y + 5)^2 = 16
Step-by-step explanation:
A circle centered at the point (a, b) and with a radius R, is written as:
(x - a)^2 + (y - b)^2 = R^2
In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:
(-1, -5) and (7, - 5)
The distance between these points is the diameter of the circle.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)
Then in this case, the distance between the known points is:
D = √( (7 - (-1))^2 + (-5 - (-5))^2)
D = √( 8^2) = 8
The diameter of the circle is 8
Then the radius is:
R = 8/2 = 4
the radius is 4.
Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:
(-1 + 4, -5) = (3, -5)
or
(7 - 4, -5) = (3, -5)
Then the center of the circle is the point (3, -5) and the radius is R = 4
The equation of the circle is:
(x - 3)^2 + (y - (-5))^2 = 4^2
(x - 3)^2 + (y + 5)^2 = 16
A cake weighs 215 g and is shared equally between five people. What weight of cake does each person receive?
Answer: 43 g
Step-by-step explanation: For 215 to be divided equally between five people the equation should be set up as 215/5, which equals 43 g for each person.
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π.
Answer:
188π in^2
Step-by-step explanation:
Surface area of the rocket = surface area of the cone + surface area of the cylinder
Surface area of a cone = πr(r+h^2+r^2)
r = 8/2 = 4 in
4π( 4 + 3^2 + 4^2) =
4π ( 4 + 9 + 16) = 116π in^2
Surface area of a cylinder = 2πrh+2πr^2
(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2
116 + 72 = 188π in^2
What is the value of x for this triangle.
Answer:
13
Step-by-step explanation:
you have to use Pythagorean Theorem which is
(a^2) + (b^2) = (c^2)
where a and be are the legs 45° from each other and c is the hypotenuse.
so just plug in the numbers
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
now square root both sides to get rid of the square on c
root(169) = root(c^2)
13 = c
I need help. NO links or I will report.
Answer:
30
Step-by-step explanation:
Well I think that this is a line, and so the angle is 180. The other line is 90 which is half of 180. It leaves 90 left. then all you have to do is solve the equation 3x=90 (x+2x=3, 9-9=0) 90 divided by 3 is 30.
Help please no links!! Step by step
Answer:
128 m^3
Step-by-step explanation:
The volume of the rectangular prism base is (8 m)(8 m)(10 m), or 640 m^3.
The triangular 'cap' has a base area of 64 m^2 and a height of 6 m, and thus a volume of (1/3)(64 m^2)(6 m) = 128 m^3
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
Select one:
a. Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
b. Zoe is not correct because equilateral triangles have three acute angles. Acute triangles have three acute angles, so acute triangles are always equilateral triangles.
c. Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
d. Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
Answer:
D
Step-by-step explanation:
Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle. Therefore, option D is the correct answer.
What is an acute angle?An acute angle is an angle that is less than 90°, and these angles can be measured using a protractor.
Triangles can be classified on the basis of angles and sides. An acute triangle is one that is classified on the basis of the measurement of angles. If all the interior angles of a triangle are less than 90°, then the triangle is said to be an acute triangle.
In equilateral triangle all three angles are equal, that is 60°.
Therefore, option D is the correct answer.
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A restaurant manager recorded the number of orders for each of the four drinks available. The results are shown in the table below.
Determine whether the statement below is true or false
About 16 of the next 50 drink orders will be for water.
PLEASE HURYY 25 POINTS
Answer:
Answer: about 14
Work Shown:
Add up the values in the table:
170+135+150+145 = 600
There are 600 orders in total. Of those 600, we have 135+145 = 280 that are for lemonade or for orange juice. This means roughly 280/600 = 0.4667 of all the drinks are either lemonade or orange juice.
Assuming this ratio keeps up, we can multiply 0.4667 with 30 to get
30*0.4667 = 14.001 which rounds to 14
This represents the estimated number of drinks in the next 30 orders that are either lemonade or orange juice.
THIS IS NOT MY WORK SO DON"T COME FOR ME PLEASE!!!!!!!!!!!!
Step-by-step explanation:
Mark me brainliest please
math help pls i don’t understand how to solve this
===================================================
Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
how do you make 10 out of 5 and 1/2
Answer:
10/5/1/2
Step-by-step explanation:
Which is the solution set of this equation? |x – 6| = 15 A. {-9, 21} B. {-15, 15} C. {9, 21} D. {-9, -21} E. {-6, 6}
Answer:
A. -9, 21
Step-by-step explanation:
Use m.a.t.h.w.a.y and you will get the answer!
Answer:
A
Step-by-step explanation:
| x-6| = 15 , check if this is true for the given x values
for x= -9 we have | -9-6| = 15 true
for x= 21 we have | 21 -6| = 15 true
so A is a solution set
for x= -15 we have | -15-6| = 15 false
so B is not a solution set
for x= 9 we have | 9-6| = 15 false
so C is not a solution set
for x= -9 we have | -9-6| = 15 true
for x= -21 we have | -21-6| = 15 false
so D is not a solution set
for x= -6 we have | -6-6| = 15 false
so E is not a solution set
PLS ILL MARK BRAINLIEST (100 points)
Answer:
For part A:
9x² - 36x + 36 = 0
9(x² - 4x + 4) = 0
9(x-2)(x-2) = 0
Radicand = Discriminant = 36² - 4(9)(36) = 0
there is 1 real zero that repeats itself)
zero is x=2.
Use factoring. Factors of 7 are 1 and 7
2x²-9x+7 = 0
(2x-7)(x-1) = 0
2x-7 = 0 (x-1)=0
2x = 7x=1
x = 7/2
Your solutions are x = 1 and x = 7/2
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 5.2 m and a base with a
radius of 15. 3 m. Round your answer to the nearest tenth of a cubie meter.
Answer:
1274.7 cubic meters
Step-by-step explanation:
Because the equation to find volume of a cone is V = πr²(h/3), you would have to plug in your values which are h = 5.2m, and r = 15.3m. Once you do the math you will get 1274.72 cubic meters, or 1274.7 when rounded to the nearest tenth.
A bus drives for 3 hours at an average speed of 56 mph.
How far does the bus drive?
What is the probability of spinning pink and rolling an odd number?
Answer:0.625 for pink and 50% for an odd number
Step-by-step explanation:
please help will mark brainliest
a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?
FYI THE PHONE COSTS 300$
Answer:
Step-by-step explanation:
A committee of four students is being randomly selected from a group of twenty students. How many combinations of four students are possible?
Using the combination formula, it is found that 4845 combinations of four students are possible.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, four students are taken from a set of 20, hence the number of combinations is given by:
[tex]C_{20,4} = \frac{20!}{4!16!} = 4845[/tex]
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♡LOTS OF POINTS TO RIGHT ANSWER♡
------Find the surface area of the figure, round your answer to the nearest hundredth if necessary <3
5.1 in
1 in
Answer:
[tex]\approx19.16[/tex]
Step-by-step explanation:
To find the surface area of a cone, one uses the following formula,
[tex]A=(\pi)(r)(r+\sqrt{h^2+r^2}})[/tex]
Where (r) is the radius of the base of the cone, and (h) is the height of the cone, ([tex]\pi[/tex]) represents the numerical constant (3.1415...). In order for this formula to work, one needs the height of the cone. This can be found using the Pythagorean theorem. One can form a right triangle with the base's radius, the side length, and height of the cone, then solve for the height of the cone. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+(1)^2=(5.1)^2[/tex]
Simplify,
[tex]a^2+1=26.01[/tex]
Inverse operations,
[tex]a^2=25.01\\a\approx5[/tex]
Now one can use the formula to find the surface area of a cone, substitute in the given values, and solve,
[tex]A=(\pi)(r)(r+\sqrt{h^2+r^2}})[/tex]
Substitute,
[tex]A=(\pi)(1)(1+\sqrt{5^2+1^2}})[/tex]
[tex]A=(\pi)(1+\sqrt{25+1})\\A=\pi(1+\sqrt{26})\\A\approx 19.16[/tex]
quick pls :
A recipe calls for 4 cups of flour for
every 3 dozen cookies, How many
cups of flour are needed to make
15 dozen cookies?
Answer: 20 cups of flour
Step-by-step explanation:
i need help asap RIGHT ANSWERS ONLY PLEASE !!!!!!’n
Answer:
hey, the answer is 9π m²
Use the figure to find the Total Area.
104 sq. units
60 sq. units
52 sq. units
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles with $0.05 each. The clerk paid Gina $0.80 for all the bottles
How man bottles worth $0.10 did Gina return
A.4
B.5
C.6
D.8
Answer:
Step-by-step explanation:
Mary needs to memorize words on a vocabulary list for German class. She has memorized 24 of the words, which is three-fourths of the list. How many words are on the list?
Step-by-step explanation:
(3/4)x=24
3x/4=24
3x=24×4
x=(24×4)/3
x=32
PLEASE HELP!!!! The quadratic functions f(x) and g(x) are described as follows: f(x) = -2x ^ 2 + 9
x g(x)
0 -5
1 3
2 11
3 3
4 -5
Which statement best compares the maximum value of the two functions?
A. The maximum value is the same for both functions
B. f(x) has a greater maximum value than g(x)
C. g(x) has a greater maximum value than f(x)
D. The maximum values cannot be determined
Answer:
g(x) has a greater maximum value than f(x).
Step-by-step explanation:
I just took the test!
b. 3, 8, 13,.. First term, t(n): Sequence generator (common difference): Initial (starting) term: Equation of the sequence in the form: =mn +b.
Answer:
-2
Step-by-step explanation:
3+5=8
8+5=13
each term is going up by 5 so you subtract 5 from 3 and your left with the first term being -2
I just need help in this last question plsssss
Answer:
B) 0.8
Step-by-step explanation:
If events are said to be independent, then just multiply the probability of the first event by the second if they are supposed to be happening together.
P (A) * P (B) = 0.8 x 1 = 0.8
Need help with school
In a class the ratio of boys to girls is 4:3 30% of the boys are left handed.
What fraction of all the people in the class are left handed boys?
6/35 fraction of people in the class are left handed
What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Let the total no. of students in a class be x
then no. of boys in the class be 4x/7
no.of girls in the class be 3x/7
left handed boys =30%of 4x/7
= 3/10x 4x/7
=6x/35
Therefore, 6/35 fraction of people in the class are left handed
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