Answer:
Step-by-step explanation:
I hope you want the area.
Area = L * W
L = 24x^3
W = 5x^2
Area = 24x^3 * 5x^2
Area = 120 * x^(3 + 2)
Area = 120 * x^5
Note
When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.
The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.
Numbers can do the same thing
2^5 * 2^3 = 2^82*8 = 2562^5 = 642^3 = 864 * 8 = 256
Lillie can pack 12 boxes of pasta in an hour and a half find the unit rate
12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8
thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8
Multiply. Write your answer as a fraction in simplest form.
−1(45)=
asap
Answer:
-9/20
put 45 over 100, then divide them both by 5.
Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
Answer:
1). 4.2 2). 7.65 3). 14.14
Step-by-step explanation:
1). √(y2 - y1)² + (x2 - x1)²
√[-1 - (-4)]² + [-3 - (-6)]²
√(3)² + (3)²
√9 + 9
√18
= 4.2
2). √(2.5 - 1)² + ( -4 - 3.5)²
√(1.5)² + (-7.5)²
√(2.25) + (56.25)
√58.5
= 7.65
3).√(5 - (-5)² + (-5-5)²
√(10)² + (-10)²
√(100) + (100)
√200
= 14.14
The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.
What is the area of the base of the solid that is formed?
16π in.²
36 in.²
64π in.²
144 in.²
Answer:
16π in.²
Step-by-step explanation:
i took the quiz and got it right
Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin^2(x)=\sin(x)[/tex]
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
[tex]2\sin^2(x)-\sin(x)=0[/tex]
We can factor:
[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]
By the Zero Product Property:
[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]
Use the unit circle to solve:
[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
angle A and angle B are complementary angles. If m angle A = (6x – 8)° and m
angle B = (5x + 21)°, then find the measure of angle B.
Answer: B = 56 degrees
Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.
6x+8+5x+21=90
1. Simplify 5x + 6x and 21 - 8
11x+13=90
2. Subtract 13 from both sides.
11x=90-13
3. Simplify 90-13 to 77.
11x=77
4. Divide both sides by 11.
x = 77/11
5. Simplify 77/11 to 7
x=7
Now we have to take the value of x and substitute it back into B = (5x+21)
1. Substitute
B = (5(7)+21)
B = 35 +21
B = 56
HOPE THIS HELPS :)
help help help help help
A=√18-√8+√50
Write A in the form m√2 where m is an integer
Answer:
6√2
Step-by-step explanation:
A=3√2-2√2+5√2
A=6√2
Answer:
6√2
Step-by-step explanation:
A=√18-√8+√50 = √9√2 - √4√2 + √2√25, or A = (√2)(3 - 2 + 5) = 6√2
PLZ HELP NEED BY TODAY!!
Step-by-step explanation:
Given 5x + 8 = 118 (vertically opposite angles)
[tex]5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22[/tex]
Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is
$5.00 and a small lemonade is $2.00.
The expression represents 50%
of the money he collects
.0.50(5l + 2s)
Use the Distributive Property to expand the expression.
Answer:
.5(5I)+.5(2s)
Step-by-step explanation:
Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]
The common denominator is 15 ( the LCM of 3 and 5 )
Multiply numerator/ denominator of first fraction by 5
Multiply the numerator/ denominator of second fraction by 3
= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15
= [tex]\frac{5y+3y+9}{15}[/tex]
= [tex]\frac{8y+9}{15}[/tex]
(b)
Given
[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]
The common denominator is 8 ( the LCM of 8 and 4 )
Multiply numerator/ denominator of second fraction by 2
= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8
= [tex]\frac{3x-2x-10}{8}[/tex]
= [tex]\frac{x-10}{8}[/tex]
Answer:
a) (8y + 9)/15.
b) (5x + 10)/8.
Step-by-step explanation:
(a) y/3 + (y + 3)/5
The LCD of 3 and 5 is 15 so we have:
5y/15 + 3(y + 3)/15
= (5y + 3(y + 3)) / 15
= (5y + 3y + 9)/15
= (8y + 9)/15.
b) 3x/8 + (x + 5)/4
The LCD of 4 and 8 is 8 so we have:
3x/8 + 2(x + 5)/8
= (3x + 2x + 10) / 8
= (5x + 10)/8.
Ana spends 0.45 of her homework time reading. What is 0.45 as a percent? Explain.
Answer:
45%
Step-by-step explanation:
Find m
A) 70°
C) 42°
B) 145°
D) 130°
Answer:
42 degrees
Step-by-step explanation:
Angles E and G are equal. Therefore, 8x - 6 = 7x, and x = 6.
Then the measure of angle G must be 7(6), or 42 degrees.
Vhich expression shows that the quotient
Answer:i think the answer d
Step-by-step explanation:
Answer:
2nd option is the correct answer.
[tex] \frac{6x - 1}{9x - 3} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]
............................
Answer:
Thaey are proportional
Step-by-step explanation:
Cole found BC in ΔABC . His work is shown below. Identify the first step in which his work shows an error. A Step 1: 92 + 152 = c2 B Step 2: 81 + 225 = c2 C Step 3: 306 = c2 D Step 4: 306−−−√ =c E Step 5: c≈17, so BCis about 17 in.
Answer: A
Step-by-step explanation:
If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?
Solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 16.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate: [tex]\displaystyle x = 16.4849[/tex]Round: [tex]\displaystyle x \approx 16.5[/tex]Find x. PQR = MNR ...............
Answer:
x = 55
Step-by-step explanation:
<QRP = <NRM because of vertical angles
To find <NRM:
x + 35 + 90 = 180
x + 125 = 180
x = 55
<NRM = 55
<QRP or x = 55
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
7. Consider the circle to the right.
Determine the value of x.
Answer:
Step-by-step explanation:
What is the slope of the line that
passes through these two points?
(-4, 6)
(-4,-2)
Answer:
slope = undefined
Step-by-step explanation:
To find the slope of a line that passes between two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:
[tex]m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}[/tex]
However, we can't divide by zero. This must mean that the slope of this line is undefined.
CHOOSING BRAINLIEST ( SCREENSHOT PROVIDED )
Find the missing number to complete the linear equation that gives the rule for this table.
x | y
0 | 0
1 | 25
2 | 50
3 | 75
Answer:
y= 25
i think
Step-by-step explanation:
find the missing side lenght of the triangle below
Answer:
12
Step-by-step explanation:
5^2 + x^2 = 13^2
x = 12
Answer:
12
Step-by-step explanation:
Use Pythagorean theorem
[tex]a^2 +b^2 =c^2[/tex]
c= always hypotenuse/ longest side/ side across from right angle = 13
a= 5
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
Subtract 25 from 169
[tex]b^2= 144[/tex]
Square root both sides
b= 12
--------
it's also a special triangle known as a 5, 12, 13 triangle
Hello can someone plz help me? Plz show your work
Step-by-step explanation:
Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;
4=x(Sandra)
Diane= 7(x)
=7(4)
=28
Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.
Answer:
3
Step-by-step explanation:
24
Answer:
5×2=10
10/2=5
5yd2
mark brainliest pleaseeeeee
Please help have only an hour please use picture
Answer:
The answer is C. n = 3
Step-by-step explanation:
I got this answer by using the butterfly method. I multiplied 3 and 2 and got 6. Then take 6 and divide it by 2 and you get 3.
So therefore, n = 3
Please mark brainliest if this helped.
Answer: C n=3
Step-by-step explanation:
First croas multiply the 2 and 3 to get one side
then you multiply 2n and move it to the other side so it can equal
2n=6
2n/2=6/2
n=3
What is a equivalent expression to z+z+z+z
What is the answer to 1552+452
Answer:
2004
Step-by-step explanation:
hope this is helpful
Answer: it is 2004
Step-by-step explanation:
Please help me do this
Answer:
∠ U = 60°
Step-by-step explanation:
The tangent- tangent angle U is half the difference of its intercepted arcs
minor arc VT = 120° , then
major arc VT = 360° - 120° = 240°
Then
∠ U = [tex]\frac{1}{2}[/tex] (240 - 120)° = [tex]\frac{1}{2}[/tex] × 120° = 60°
A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what is the volume of the swimming pool
Answer:
[tex]V=650.25\ yards^3[/tex]
Step-by-step explanation:
Given that,
Length = [tex]12\dfrac{3}{4}\ yards[/tex]
Width = [tex]5\dfrac{2}{3}\ yards[/tex]
Depth = 9 yards
We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :
[tex]V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3[/tex]
So, the volume of the swimming pool is equal to [tex]650.25\ yards^3[/tex].
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?
For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.
Answer:
Answer 2 would be true.
Step-by-step explanation:
Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.
Answer:
The answer is B
Step-by-step explanation:
For every 2 cups of lemonade, there are 5 cups of iced tea.