Answer:
a = 2
Step-by-step explanation:
The equation 2x² - 6x - 20 = 0 is in standard form for a quadratic formula.
The general equation for standard form is: y = ax² + bx + c
Sometimes we make "y" => 0 when we are finding the roots (x-intercepts).
Notice "a" is attached to x² in the standard form.
In your question, the number attached to x² is 2.
∴ a = 2
The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression represents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3
Step-by-step explanation:
The height of a cylinder is twice the radius of its base.
Let the height of the cylinder = 2x
Let the radius of the cylinder = x
By formula, volume of the cylinder = π[tex]r^{2}[/tex] h
here r = x, h = 2x
substituting the values in the equation, we get
volume of the cylinder = π[tex]r^{2}[/tex] h = π [tex]x^{2}[/tex] (2x)
volume of the cylinder = 2π[tex]x^{3}[/tex]
The expression that represents the volume of the cylinder is 2x³π.
What is the volume of the cylinder?A cylinder is a three-dimensional object that is made up of a two circles that are attached to a rectangle.
Volume of a cylinder = πr²h
2xπx² = 2x³π.
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
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A restaurant chain wanted to
find out how the food was in
their store. Identify which
choice best represents a
sample.
A. 100 customers who spent over $50
B. All of the people who ate at the
restaurant on Friday
C. 1 out of every 50 customers.
7.SP.1
Answer:
C
Step-by-step explanation:
How can we interpret |-50| in context?
A. amount of money you have left on account
B. amount of money you owe the bank
C. negative 50 dollars
Answer: The answer is B, The amount of money you owe to the bank. Maybe A.....
( Vote me brainliest answer , please )
Please help, the lockdown is really messing me up.
Answer:
Height of the cuboid= 2.5 cm
Step-by-step explanation:
Volume of a cuboid = length× width ×height
=> 100=8×5× h
=
[tex]h = \frac{100}{8 \times 5} [/tex]
[tex]h = 2.5[/tex]
height of the cuboid= 2.5 cm
The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. A solid oblique pyramid has an equilateral triangle base with an edge length of 18 inches. What is the height of the triangular base of the pyramid? 9 √ 2 in. 9 √ 3 in. 18 √ 2 in. 18 √ 3 in.
Answer:
b.[tex]9\sqrt{3}in[/tex]
Step-by-step explanation:
We are given that
Length of equilateral triangle=a=18 in
Base of oblique pyramid is an equilateral triangle.
We have to find the height of the triangular base of the pyramid
Height of the triangular base of the pyramid,h=[tex]acos\theta[/tex]
We know that each angle of equilateral triangle =60 degree
[tex]\theta=\frac{60}{2}=30^{\circ}[/tex]
Substitute the values
Height of triangular base of the pyramid,h=[tex]18cos30=18\times \frac{\sqrt 3}{2}[/tex]in
Using the value of
[tex]cos30^{\circ}=\frac{\sqrt 3}{2}[/tex]
Height of triangular base of the pyramid,h=[tex]9\sqrt{3}in[/tex]
Option b is true.
Answer:
It's the second option 9 √ 3 in
Step-by-step explanation:
just did it on edge
What is the rule of f(0)
Answer:
F(0)=(-4)x+1
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
f(0) = 4^0 -1 =0 because : 4^0 = 1
Which fraction has the greatest value 1/3 2/3 2/9 2/9
Answer:
Fraction 2/3 has greatest value among the fractions 1/3, 2/3, and 2/9.
Greatest fraction to be determine among the fractions 1/3, 2/3, and 2/9.
What is the fraction?
Fraction is defined as the number of composition constitute the Whole.
Here,
1/3 = 0.33, 2/3 = 0.66 and 2/9 = 0.22.
2/3>1/3>2/9
Thus, fraction 2/3 has greatest value among the fractions 1/3, 2/3, and 2/9.
A circle has a circumference of 5. An arc in the circle has a central angle of 162°. What is the length of the arc?
Answer:
The length of the arc is 2.25 units.
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex], where r is radius of the circle.
Total angle of a circle in degree is 360°.
Length of central angle formula
[tex]\textrm{Arc length}=\frac{2\pi r}{360^\circ}\times \textrm{central angle degree}[/tex]
[tex]\Rightarrow \textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]
Given that,
A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.
Then,
[tex]\textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]
[tex]\textrm{Arc length}=\frac{5}{360^\circ}\times162^\circ[/tex]
[tex]=\frac{810}{360}[/tex]
[tex]=\frac{9}{4}[/tex]
=2.25 units.
The length of the arc is 2.25 units.
Answer:
14.14 units
Step-by-step explanation:
Klan Academy - i checked and it was correct.
help please 6x^2-18
Answer:
6(x^2-3)
Step-by-step explanation:
A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.
Which expression represents the volume, in cubic units, of the composite figure?
Pi(52)(13) – One-third pi (52)(12)
Pi(52)(13) – One-third pi (52)(25)
Pi(52)(13) + One-third pi (52)(12)
Pi(52)(13) + One-third pi (52)(25)
Answer:
C
Step-by-step explanation:
[tex]\pi (5^{2})(13)+\frac{1}{3} \pi (5^{2})(12)[/tex]
The expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
What is the volume of the composite figure?The volume of the composite figure is the sum of the volume of the cone and the volume of the cylinder.
A cone is stacked on top of a cylinder.
They both share a circular base.
The total height of the composite figure is 25.
The height of the cylinder is 13 and the radius is 5.
The expression represents the volume, in cubic units, of the composite figure;
The volume of a cylinder = πr²h
π = 22/7
r = radius = 5
h = height = 13
The volume of a cylinder = π(5²)(13)
The volume of a cone = 1/3(πr²h)
π = 22/7
r = radius
h = height = 25 - 13 = 12
The volume of a cone = (1/3)(π(5²)(12)
The expression represents the volume, in cubic units, of the composite figure is;
= Pi(5^2)(13) + One-third pi (5^2)(12).
Hence, the expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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ASAP!! Please Help! Show Work!! Thx
Answer:
37
Step-by-step explanation:
To find the side length in the middle is 12. This is because A(12) squared + B(5) squared = C(13) squared.
Now that we know the side length, we can find x. A(35) squared + B(12) squared = C(x) squared.
35*35=1225.
12*12=144.
1225+144=1369
The root of 1369 is 37, so the value of x is 37.
What is absolute value
there is 2 definitions math and technical
Step-by-step explanation:
math=the magnitude of a real number without regard to its sign.
technical=the actual magnitude of a numerical value or measurement, irrespective of its relation to other values.
hope this helped
Answer: "distance from zero on a number line"
Explanation: Absolute value means "distance from zero" on a number line.
Since distance can either be 0 or positive,
absolute value is either 0 or positive.
Absolute value is represented with vertical bars on either side of the number.
An example is shown below, we have the absolute value of -5.
The absolute value of a number is just
the positive version of that number.
So the positive version of -5 is 5.
Help! Can someone please explain!
Answer:
( 3 x − 2 ) ( x − 2 ) = 0
Set 3 x − 2 equal to 0 and solve for x .
x = 2 3
Set x − 2 equal to 0 and solve for x .
x = 2
The solution is the result of 3 x − 2 = 0 and x − 2 = 0. x = 2 3 , 2
The result can be shown in multiple forms.
Exact Form: x = 2 3 , 2
Decimal Form: x = 0. ¯ 6, 2
Step-by-step explanation: There you go hope it helps
Divide the sum of 3/4 and −4/7 by their difference
Answer:
5/37.
Step-by-step explanation:
Sum:
3/4 + -4/7
= 21/28 - 16/28
= 5/28
Difference:
3/4 - (-4/7)
= 3/4 + 4/7
= 21/28 + 16/28
= 37/28.
Dividing:
5/28 / 37/28
= 5/28 * 28/37
= 5/37.
In circle P diameter QS measures 30 cm.
What is the approximate length of arc QR? Round to the nearest tenth of a centimeter
a. 7.2 cm
b. 25.8 cm
c. 94.2 cm
d. 14.4 cm
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
Given:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
Measure of ∠QPR:
The angles QPR and RPS are linear pairs.
Thus, we have;
[tex]\angle QPR + \angle RPS=180^{\circ}[/tex]
Substituting the values, we have;
[tex]\angle QPR + 125^{\circ}=180^{\circ}[/tex]
[tex]\angle QPR =55^{\circ}[/tex]
Thus, the measure of ∠QPR is 55°
Arc length of QR:
The arc length of QR can be determined using the formula,
[tex]Arc \ length =(\frac{\theta}{360})2 \pi r[/tex]
Substituting [tex]\theta=55[/tex] and r =15, we get;
[tex]Arc \ length =(\frac{55}{360})2 (3.14)(15)[/tex]
[tex]Arc\ length = \frac{5181}{360}[/tex]
[tex]Arc \ length =14.4 \ cm[/tex]
Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.
a. 7/25
b. 7/24
c. 24/25
d. 24/7
c. 24/25
Step-by-step explanation:
[tex] \bigg(\frac{7}{25}, \: \frac{24}{25}\bigg) =\bigg(x, \: y\bigg) \\
\therefore x = \frac{7}{25}, \:\: y= \frac{24}{25}, \: r = 1\\
\because \sin \theta = \frac{y}{r}\\
\therefore \sin \theta = \frac{ \frac{24}{25}}{1}\\
\huge \purple {\boxed {\therefore \sin \theta =\frac{24}{25}}} [/tex]
I need help ASAP right now!!!!!!!!
Answer:
d
Step-by-step explanation:
Based on the side lengths given (a, b, and c), which triangles are right triangles?
A)a=18
b=24
c=42
B)a=33
b=56
c=65
C)a=19
b=180
c=181
D)a=3
b=4
c=7
Answer:
B & C
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
A) 18^2 + 24^2 = 2,088 | 42^2 = 1,764 [NOT A]
B) 33^2 +56^2 = 4,225 | 65^2 = 4,225 [B IS CORRECT]
C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761) [C IS CORRECT]
D) 3^2 + 4^2 = 25 | 7^2 = 49 [NOT D]
I hope this helped you ! In return, please deem this the most brainliest answer.
Round to the underlined place
Answer:
I think its 12.0 not sure
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
11.9781
This is simple if its 1-4 it goes down a number 5-9 it goes up
its 7 is the one to the right so the 9 to the left goes up which makes the whole number round up so the answer is 12 :)
I hope this helps :)
steve has a photo and a rectangular piece of card. the photo is 16cm by 10cm. the card is 30cm by 15cm. steve cuts along the dotted line shown in the diagram below teve throws away the piece of card that is 15 cm by x cm. The piece of card he has left is mathematically similar to the photo. Work out the value of x.
Answer:
24cm
Step-by-step explanation:
The photo stays the same, the card changes. They must be proportional to each other.
15 by x cm means the 30 is going to be shortened, since it is being cut.
16 / 10 = 1.6
1.6 x 30 = 24
or
[tex]\frac{16}{10} = \frac{x}{15} \\\\Divide\\\\\frac{16}{10} *\frac{15}{x} = \frac{240}{10x} = 24[/tex]
The city plan includes parks reopening with probability = 1/2, diners with 20% chance, and dental offices with probability = 0.3. According to the plan, in what order will these three areas reopen?
Answer:
Parks, then dental offices, and finally diners
Step-by-step explanation:
Parks = 50%
Diners = 20%
Dental offices = 30%
Order the place in order of decreasing probability.
If this answer is correct, please make me Brainliest!
Answer:
1) Parks,
2) Dental offices,
3) Diners
Step-by-step explanation:
½ = 0.5
20% = 0.2
0.5 > 0.3 > 0.2
Parks, Dental offices, Diners
n-1/10=2/3 pls help with this
Answer:
n=23/30
Step-by-step explanation:
n-1/10=2/3
n=1/10+2/3
n=3/30+20/30
n=23/30
Answer:
N=23/30
Step-by-step explanation:
n-1/10=2/3
n=1/10+2/3
n=3/30+20/30
n=23/30
Which expressions is the same as 1/5 of 7
How would you classify the number zero (in the most narrow category)?
Answer:
It would be a rational number.
Step-by-step explanation:
Definitely not a natural number but it is a whole, an integer, a rational, and a real number. It may not be obvious that zero is also a rational number.
WILL GIVE BRAINLYEST TO FIRST NEED ASAP
The box plot shows the number of years during which 16 schools have participated in a marching band competition:
At least how many schools have participated for 3 to 7 years? (4 points)
Group of answer choices
3 schools
5 schools
7 schools
8 schools
Answer:
122
Step-by-step explanation:
hope thats itbecause i just times 16x7 \_(^-^)_/
Answer:
8 schools
Step-by-step explanation:
read
Marvin used a customary unit of measure to estimate the weight of a watermelon he grew in his backyard what could the estimated weight be
Answer:
Usually pounds (lb) .About an an average of 20 to 25 pounds (lbs)
Step-by-step explanation:
Since Marvin uses Customary units, and considering the Watermelon.
Pounds, He could estimate based on average of 20 to 25 pounds.
He could choose another customary units, but it wouldn't be practical and unusual to say a watermelon of 160 quarters, also it would leave all the listeners without parameters.
So, definitely pounds.
Cost of a sled: $49.50
Markup: 80%
What’s the selling price
Answer:
39.6
Step-by-step explanation:
Which relation describes a function?
{(0,0), (0, 2), (2.0), (2, 2)}
{(-2, -3), (-3, -2), (2,3), (3, 2)}
{(2,-1), (2, 1), (3,-1), (3, 1)}
{(2, 2), (2, 3), (3, 2), (3, 3)}
Answer:
{(-2, -3), (-3, -2), (2,3), (3, 2)}
Step-by-step explanation:
A function is a set of ordered pairs in which no two pairs have the same first number.
In other words, an x cannot be paired with two y's.
A function takes an x and pairs it with one and only one y.
{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.
{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.
{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.
HELP HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
y = 6|x|
Step-by-step explanation:
y = |x|
When we scale vertically, we multiply by a constant
y = a f(x)
We are multiplying by 6
y = 6|x|
Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each candy costs $3.25. He bought a total of 8 drinks and candies altogether. Write a system of equations that could be used to determine the number of drinks and the number of candies that Jaxson bought. Define the variables that you use to write the system.
Answer:
6d+3.25c=42.50
d+c=8
Step-by-step explanation:
let's say d is for drinks and c is for candy.
each drink is $6
each candy is $3.25
the porblem told us our total $42.50
so if we mulitpy the cost of each drink and candy together
6d+3.25c=42.50
and
Since he bought a total of 8 drinks and candies, we know that d+c=8
Answer:
Let d = the number of drinks
Let c = the number of candies
6d+3.25c=42.50
d+c=8