Answer:
48 + 8x = 9
Step-by-step explanation:
4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]
multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
48 + 8x = 9
The expression i10 is equivalent to
Answer: -1
Step-by-step explanation:
Triangles ABC and DEF are
A. Similar triangles
B. Not similar triangles
Answer:
A. Similar triangles
Step-by-step explanation:
Triangle ABC
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125°
x = 55°
They are similar due to the occurrence in angles
Using a 10' long piece of strut as a straightedge, you are trying to determine the outside diameter of a grain storage silo. You and your partner very carefully measure from the ends of the straightedge, squarely, in to the wall of the silo and find that the “H” distance is 14 3/4" at both ends. What is the radius of the silo in inches? Note: The values calculated for this question may be used for additional questions. (Round the answer to the nearest 1/8".)
The radius of the silo is the distance from its center to the outside wall
The radius of the silo is 7 3/8" or 7 3/8 inches
How to determine the radius?From the question, we have the following parameters:
Length of strut = 10'Outside diameter of silo = 14 3/4"The radius is then calculated as:
Radius = 0.5 * Diameter
This gives
Radius = 0.5 * 14 3/4"
Evaluate the product
Radius = 7 3/8"
Hence, the radius of the silo is 7 3/8" or 7 3/8 inches
Read more about radius at:
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I need help with this please?
1320
Step-by-step explanation:
the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320
Juma bought a geometry set at sh 2000 and later sold it at sh 2500. find his percentage profit
bought price= 2000
sold price= 2500
to find:the percentage profit
solution:[tex]profit\% = 100 \times \frac{(final - initial)}{initial} [/tex]
[tex]profit\% = 100 \times \frac{(2500 - 2000)}{2000} [/tex]
[tex] = \frac{(2500 - 2000)}{2000} [/tex]
[tex] = \frac{1}{4} [/tex]
[tex] = \frac{1}{4} \times 100\%[/tex]
[tex]profit\% = 25\%[/tex]
therefore, his percentage profit is 25.
⭐ Question
I have 30 red marbles, 28 blue marbles, 13 green marbles, and 6 magenta marbles.
What is the probability I pull 3 blue marbles? Write as a fraction, no need to simplify.
Answer:
im thinking that is 3/74 because i count them
Step-by-step explanation:
3/74 rhe answer but 3/77 are wrong he just thinking
Answer:
3 over 77, 3/77
Step-by-step explanation:
You add up all of the marbles. (including the blue ones)
30+28+13+6 = 77.
So. You have a 3/77 chance of pulling a blue marble.
I need help with 4 and 5 I really don’t get it
I don’t get 2 and 3 I really need help
Answer:
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral sum to 180 so
m < x = 180-105 = 75 degrees
m < y = 180 - 95 = 85 degrees.
Is the a system of equations has no solution, the graph of the system are?
Answer:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
I NEED HELP ASAP PLEASE LOOK AT THE PICTURE ATTACHED
Answer:
The distance is 20 units
Step-by-step explanation:
Divide.
3/7 ÷ 4/7 = ???
A.
1 1/3
B.
5/14
C.
9/11
D.
3/4
Answer:
3/4
Step-by-step explanation:
Give brainliest if it helped...(:
Sam, Luke and Laura are shopping for sporting equipment
Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls
By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.
Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8
How to form and solve equations?
Sam buys 4 tennis balls and 12 golf balls for a total of £19.
let
x = price of each tennis ball
y = price of each golf ball
Hence,
4x + 12y = 19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,
6x + 10y = 22.50
Combine the equation
4x + 12y = 19
6x + 10y = 22.50
6x + 18y = 28.5
6x + 10y = 22.50
8y = 6
y = 6 / 8
y = $0.75
6x + 10(0.75) = 22.50
6x + 7.5 = 22.50
6x = 22.50 - 7.5
6x = 15
x = 15 / 6
x = $2.5
The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:
2(2.5) + 4(0.75) = 5 + 3 = $8
learn more on equation here: https://brainly.com/question/17290525
helpppppp pls operations
5 chocolate bars cost $5.75
2 chocolate bars and 3 packets of sweets cost $7.85 work out the cost of one packet of sweets
Answer:
The answer is $1.85
Step-by-step explanation:
Given;The cost of 5 chocolate bars = $5.75The cost of 2 chocolate bars and 3 packets of sweets = $7.85To Find;The cost of one packet of sweets.Now, we know that the cost of 5 chocolate bars are $5.75.
For 1 chocolate bar
5.75 ÷ 5 = $1.15
Here, we get the price of 1 chocolate bar
So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.
2 × chocolate bar = 2 × (1.15) = $2.3
Now, we want to find only the cost of one packet of sweets.
So,
7.85 – 2.3 = $5.55
3 packets of sweets cost $5.55
For 1 packets of sweets
5.55 ÷ 3 = $1.85
Thus, The cost of one packet of sweets = $1.85
inequality? 6(x - 2) + 21 <39
A x < 5
C X> 3
B x >5
D x <3
Answer:
A. X < 5
Step-by-step explanation:
6(x -2) + 21 < 39
6x - 12 + 21 < 39
Group like terms
6x < 39 + 12 - 21
6x < 30
Divide through by 6
X < 30/6
X < 5
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
A half circle has a radius of 20 ft, what is the area of the half circle?
Step-by-step explanation:
A = 0.5(πr^2 )
A = 0.5(π × (20^2 ))
A = 628.32 units^2
Answer:
628.3 ft
Step-by-step explanation:
area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]
= [tex]\frac{\pi *20^{2} }{2}[/tex]
= 200[tex]\pi[/tex] = 628.3 ft
Please help with this thanks! God bless you
Answer:
n=23
Step-by-step explanation:
a right angle measures 90
67+n=90
subtract 67 on both sides
n=23
Use angle addition postulate:
m∠ABD + m∠DBC = m∠ABCSubstitute values to get the required equation and solve it for n:
m∠ABD = 67°, m∠DBC = n°, m∠ABC = 90°67 + n = 90n = 90 - 67n = 23Circumference of the circle
Answer:
r=14/2
r=7
[tex]circumference = 2\pi {r}\\ = 2 \times \frac{22}{7} \times 7 \\ = 44[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex] \qquad \tt \dashrightarrow \: \pi{d}^{} [/tex]
where, d = diameter
Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: c = 14\pi{}^{} [/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: c = 14 \times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 43.96 \: \: m[/tex]
[tex] \qquad \tt \dashrightarrow \: c \approx 44 \: \: m[/tex]
HELP ASAP
What are the solutions to the following system of equations? 2x − y = 6 y = x2 − 9 (3, 0) and (−1, −8) (3, 0) and (4, 2) (−3, 0) and (−1, −8) (−3, 0) and (4, 2)
Answer:
I think so none
answer to the following steps below:-
I hope my answer helps.
calculus, question 5 to 5a
5. Let [tex]x = \sin(\theta)[/tex]. Note that we want this variable change to be reversible, so we tacitly assume 0 ≤ θ ≤ π/2. Then
[tex]\cos(\theta) = \sqrt{1 - \sin^2(\theta)} = \sqrt{1 - x^2}[/tex]
and [tex]dx = \cos(\theta) \, d\theta[/tex]. So the integral transforms to
[tex]\displaystyle \int \frac{x^3}{\sqrt{1-x^2}} \, dx = \int \frac{\sin^3(\theta)}{\cos(\theta)} \cos(\theta) \, d\theta = \int \sin^3(\theta) \, d\theta[/tex]
Reduce the power by writing
[tex]\sin^3(\theta) = \sin(\theta) \sin^2(\theta) = \sin(\theta) (1 - \cos^2(\theta))[/tex]
Now let [tex]y = \cos(\theta)[/tex], so that [tex]dy = -\sin(\theta) \, d\theta[/tex]. Then
[tex]\displaystyle \int \sin(\theta) (1-\cos^2(\theta)) \, d\theta = - \int (1-y^2) \, dy = -y + \frac13 y^3 + C[/tex]
Replace the variable to get the antiderivative back in terms of x and we have
[tex]\displaystyle \int \frac{x^3}{\sqrt{1-x^2}} \, dx = -\cos(\theta) + \frac13 \cos^3(\theta) + C[/tex]
[tex]\displaystyle \int \frac{x^3}{\sqrt{1-x^2}} \, dx = -\sqrt{1-x^2} + \frac13 \left(\sqrt{1-x^2}\right)^3 + C[/tex]
[tex]\displaystyle \int \frac{x^3}{\sqrt{1-x^2}} \, dx = -\frac13 \sqrt{1-x^2} \left(3 - \left(\sqrt{1-x^2}\right)^2\right) + C[/tex]
[tex]\displaystyle \int \frac{x^3}{\sqrt{1-x^2}} \, dx = \boxed{-\frac13 \sqrt{1-x^2} (2+x^2) + C}[/tex]
6. Let [tex]x = 3\tan(\theta)[/tex] and [tex]dx=3\sec^2(\theta)\,d\theta[/tex]. It follows that
[tex]\cos(\theta) = \dfrac1{\sec(\theta)} = \dfrac1{\sqrt{1+\tan^2(\theta)}} = \dfrac3{\sqrt{9+x^2}}[/tex]
since, like in the previous integral, under this reversible variable change we assume -π/2 < θ < π/2. Over this interval, sec(θ) is positive.
Now,
[tex]\displaystyle \int \frac{x^3}{\sqrt{9+x^2}} \, dx = \int \frac{27\tan^3(\theta)}{\sqrt{9+9\tan^2(\theta)}} 3\sec^2(\theta) \, d\theta = 27 \int \frac{\tan^3(\theta) \sec^2(\theta)}{\sqrt{1+\tan^2(\theta)}} \, d\theta[/tex]
The denominator reduces to
[tex]\sqrt{1+\tan^2(\theta)} = \sqrt{\sec^2(\theta)} = |\sec(\theta)| = \sec(\theta)[/tex]
and so
[tex]\displaystyle 27 \int \tan^3(\theta) \sec(\theta) \, d\theta = 27 \int \frac{\sin^3(\theta)}{\cos^4(\theta)} \, d\theta[/tex]
Rewrite sin³(θ) just like before,
[tex]\displaystyle 27 \int \frac{\sin(\theta) (1-\cos^2(\theta))}{\cos^4(\theta)} \, d\theta[/tex]
and substitute [tex]y=\cos(\theta)[/tex] again to get
[tex]\displaystyle -27 \int \frac{1-y^2}{y^4} \, dy = 27 \int \left(\frac1{y^2} - \frac1{y^4}\right) \, dy = 27 \left(\frac1{3y^3} - \frac1y\right) + C[/tex]
Put everything back in terms of x :
[tex]\displaystyle \int \frac{x^3}{\sqrt{9+x^2}} \, dx = 9 \left(\frac1{\cos^3(\theta)} - \frac3{\cos(\theta)}\right) + C[/tex]
[tex]\displaystyle \int \frac{x^3}{\sqrt{9+x^2}} \, dx = 9 \left(\frac{\left(\sqrt{9+x^2}\right)^3}{27} - \sqrt{9+x^2}\right) + C[/tex]
[tex]\displaystyle \int \frac{x^3}{\sqrt{9+x^2}} \, dx = \boxed{\frac13 \sqrt{9+x^2} (x^2 - 18) + C}[/tex]
2(b). For some constants a, b, c, and d, we have
[tex]\dfrac1{x^2+x^4} = \dfrac1{x^2(1+x^2)} = \boxed{\dfrac ax + \dfrac b{x^2} + \dfrac{cx+d}{x^2+1}}[/tex]
3(a). For some constants a, b, and c,
[tex]\dfrac{x^2+4}{x^3-3x^2+2x} = \dfrac{x^2+4}{x(x-1)(x-2)} = \boxed{\dfrac ax + \dfrac b{x-1} + \dfrac c{x-2}}[/tex]
5(a). For some constants a-f,
[tex]\dfrac{x^5+1}{(x^2-x)(x^4+2x^2+1)} = \dfrac{x^5+1}{x(x-1)(x+1)(x^2+1)^2} \\\\ = \dfrac{x^4 - x^3 + x^2 - x + 1}{x(x-1)(x^2+1)^2} = \boxed{\dfrac ax + \dfrac b{x-1} + \dfrac{cx+d}{x^2+1} + \dfrac{ex+f}{(x^2+1)^2}}[/tex]
where we use the sum-of-5th-powers identity,
[tex]a^5 + b^5 = (a+b) (a^4-a^3b+a^2b^2-ab^3+b^4)[/tex]
Pls write me fast what’s the answer 8(1 - 6p) - 2(6p + 7)
Answer:
-60p -6
Step-by-step explanation:
8(1 - 6p) - 2(6p + 7)
Distribute
8 - 48p -12p -14
Combine like terms
-60p -6
7(5/14a-5/21)-1/12(3a+6)
Answer:
I can help!! answer in image
Step-by-step explanation:
Have a great day sir
What is the least common denominator for the fractions 6/9 and 1/5
Answer:
45
Step-by-step explanation:
Calculate the least common multiple LCM(9; 5)
LCM(9; 5) = 45
Find additional factors for each fraction, for this divide LCM by the denominators of each fraction:
45 : 9 = 5 (factor of 1 fraction)
45 : 5 = 9 (factor of 2 fraction)
We multiply the numerator and denominator of each fraction by an additional factor of this fraction:
6/9=6/9 ⋅ 5/5=30/45
1/5=1/9 ⋅ 9/9=9/45
Result
6/9=30/45
1/5=9/45
Hope this Helps!
Nicole makes $8 per hour working at a daycare center. How much money would Nicole make in 2 1/2 hours?
Answer:
$20
Step-by-step explanation:
take 8 and multiply it by 2 and you get 16
then take half of 8 which is 4 and add it on
16+4=20
What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2
Find csc theta if sin theta = 4/5
Answer:
5/4
Step-by-step explanation:
csc theta is essentially 1/sintheta
so you can say that csc theta is 5/4.
another way to do this is to draw the right triangle and find the values of all the sides. this way you'll be able to find all the trig values of the triangle.
post a comment if you want any further guidance or help.
Simplify the expression 20+6k-14+k WILL MARK BRAINLIEST
Answer:
7k + 6
Steps:
Subtract the numbers 20+6k-14k+k
6+6k+k
Combine the terms:
6+6k+k
6+7k
Rearange terms:
6+7k
7k+6
If the standard quota for how many new schools will open in the 5 boroughs are:
Bronx: 20.73
Brooklyn: 10.12
Queens: 35.46
Manhattan 25.16
Staten Island 5.44
Use Jefferson's plan to apportion the Bronx quota.
The apportion of Bronx quota is the alloted profit to Bronx
The apportion for Bronx quota is 20
How to apportion the Bronx quota?The dataset is given as:
Bronx: 20.73Brooklyn: 10.12Queens: 35.46Manhattan 25.16Staten Island 5.44From the dataset, we have:
Bronx: 20.73
Remove the numbers after the decimal point
Bronx = 20
Hence, the apportion for Bronx quota is 20
Read more about quota at:
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Fill in the blanks below with the correct units. (a) Jessica's pet dog has a mass of 6 ? . (b) The soccer field at Jessica's school is 110 ? long. (c) Joe squeezed an orange and got about 60 ? of juice.
Answer:
a. 6 kg.
b. 110 m long.
c. 60 ml of juice.