c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
part 2. Find the missing sides for each 30 60 90 triangles. Show work please.
5. tan(30) =4/g
g = 4/tan(30)
g = 4√3
sin(30) = 4/h
h = 4/sin(30)
h = 8
6.
tan(30) = 14/l
l = 14/tan(30)
l = 14√3
sin(30) = 14/m
m = 14/sin(30)
m = 28
7.
sin(30) = j/50
j = 50 x sin(30)
j = 25
cos(30) = k/50
k = 50 x cos(30)
k = 25√3
Find median of the data. 14, 18, 16, 122, 22, 19, 12
Answer:
18
Step-by-step explanation:
The order from least to greatest is 12,14,16,18,19,22,122.
The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.
1. Find a. The length of side
b. The Apothum
c. The area of the regular polygon inscribed in a circle of radius r= 13 cm of hexagon,
2. The side length of inscribed regular polygon is 10 unit long. Find the area of hexagon.
3. The area of inscribed regular hexagon is 18 V3 cm2. Find
8. The radius
b. The side length
c. The Apothum
d. The perimeter
4. If a regular polygon of 12 sides with radius units long is given. What is its area?
please help guys i dont understand
x^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
Answer:
a). Center of the circle = (-2, 5)
b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Step-by-step explanation:
Equation of the circle is,
x² + 4x + y²- 10y + 20 = 30
a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30
[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30
(x + 2)² + (y - 5)²- 29 + 20 = 30
(x + 2)² + (y - 5)²- 9 = 30
(x + 2)² + (y - 5)² = 39
By comparing this equation with the standard equation of a circle,
Center of the circle is (-2, 5).
b). A point (2, 10) lies on this circle.
Slope of the line joining this point to the center (-2, 5),
[tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{10-5}{2+2}[/tex]
= [tex]\frac{5}{4}[/tex]
Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'
Then by the property of perpendicular lines,
[tex]m_{1}\times m_{2}=-1[/tex]
[tex]\frac{5}{4}\times m_{2}=-1[/tex]
[tex]m_{2}=-\frac{4}{5}[/tex]
Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]
y - y' = [tex]m_{2}(x-x')[/tex]
y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]
y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]
y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]
y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Anybody wanna play fn, , or sea of thieves?
Answer:
Nope
Step-by-step explanation:
Please we are not here to joke.find some where else to do such but not here
Answer:
Meh
Step-by-step explanation:
What is the value of −36/5 (10/9 −5/6 ) ?
Answer:
=-2
Step-by-step explanation:=-2
cuz i calculated it
its right
Answer:
-2
Step-by-step explanation:
First, the parentheses are calculated.
The denominators must be equal for removal.
2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18
Now we're going to multiply.
-36/5 × 5/18 = -36/18 and its equals to -2
Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
2c + c
2c + 3
3c + 3
2c + c – 3
2c – c + 3
2c + c + 3
Answer:
3c + 3
hope this helps.
Answer:
3c + 3
and
2c + c + 3
In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?
I put the wrong answer
What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.
Answer:
33.3%
Step-by-step explanation:
Take the original price and subtract the new price
36-24=12
Divide this by the original price
12/36 = 1/3 = .33333repeating
Multiply by 100 % to get to percent form
.3333 repeating * 100%
33.3333%
Round to the nearest tenth
33.3%
I need help please please
Answer:
Each piece has 1/5 of 4 feet of rope.
Step-by-step explanation:
There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.
A eat sixth of pizza in 2 minutes.B takes 3 minutes to eat one quarter of same same pizza.If A and B starts eating one pizza each,who will finnish first?
Answer:
same time , 12 minutes
Step-by-step explanation:
'A' can eat 1÷6 pizza in 2 minutes
Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes
'B' can eat 1÷4 pizza in 3 minutes
therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes
So, Both 'A' and 'B' will finish at same time.
3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)
(F) (-3,-5)
Answer:
D and B is the answer
Step-by-step explanation:
Here is a graph with the points
There are 24 students in Julie’s class. 6 of these students are boys. What percent of the class are boys
Answer:
25%
Step-by-step explanation:
Take the number of boys over the total
6/24
1/4
Change to a decimal
.25
Change to a percent
25%
There are 5,426 people seated at tables. Each table seats 8 people.
How many tables are full?
How many people are sitting at a table that is not full?
How many tables are needed for all 5,426 people?
Answer:
678
2
679
Step-by-step explanation:
Number of people: 5426
Capacity of table: 8
How many tables are full?
Number of full tables= 5426/8= 678.25 so full part is 678How many people are sitting at a table that is not full?
0.25 table= 8*0.25= 2 people are sitting at a table that is not fullor
5426 - 678*8= 2 peopleHow many tables are needed for all 5,426 people?
678+1= 679 tablesPlease help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
What is the range of the function?
A. (3)
B. {3, 9, 12)
C. (-2, 2, 3, 4, 9, 12)
O D. {-2, 2, 3, 4
The range is all the possible y values, so the set with all the arrows.
Answer: B. {3,9,12}
Answer:
B
Step-by-step explanation:
The range means the y coordinates or output
In this the output are the numbers on the right.
We can also find the answer by eliminating.
Option A could not be the answer because it is only one of the numbers from the range.
Option B is the answer because it includes all the numbers from the range.
Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).
This is an example here below
Hope this helped!!
What is the answer? Pls help
Answer:
D
Step-by-step explanation:
Plug in 6 as x in the function
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
Answer:
The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14
Step-by-step explanation:
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer. plz answer
Answer:
c=10
Step-by-step explanation:
c² =8²+6²
c² =64+36
c²= 100
[tex] \sqrt{100} [/tex]
= 10
f(x) = = -x + 9
g(x) = x2 - 6x + 9
What is the value of g(f(0))
=========================================================
Explanation:
f(x) = -x+9
f(0) = -0+9 .... replace x with 0
f(0) = 9
We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function
This is because g( f(0) ) = g( 9 )
g(x) = x^2 - 6x + 9
g(9) = 9^2 - 6*9 + 9 ... replace x with 9
g(9) = 81 - 54 + 9
g(9) = 36
Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36
-----------------------
Another method is to compute g(f(x)) algebraically first
g(x) = x^2 - 6x + 9
g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)
g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9
g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9
g(f(x)) = x^2 - 12x + 36
then we plug in x = 0
g(f(x)) = x^2 - 12x + 36
g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0
g(f(0)) = 36
(b) If 1/3 volume of a vessel is filled with 5 litres of what is the volume
of the vessel.
Answer:
15 litres
Step-by-step explanation:
1/3 x= 5
x= 5 : 1/3
x= 5*3
x= 15 litres
Someone help meeee lollll
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:
[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
[tex]-7x^2-2x+5[/tex]
The next one, after distributing the negative into the parenthesis:
[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):
[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to
[tex]7x^2+2x-5[/tex]
Now for the last one:
[tex]12x^2+6x-5-5x^2-8x+12[/tex] and
[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to
[tex]7x^2-2x+7[/tex]
[tex]H = \frac{w {}^{2} }{2g} (R{}^{2} -r {}^{2} )[/tex]
Please help me. I need the answer ASAP. Will mark Brainliest
Answer:
H * 2g/w² = R² - r²
r² = R² - H * 2g/w²
r = √(R² - H * 2g/w²)
Two similar cardboards have areas of 24cm² and 150cm². If the length of the bigger one is 10cm ,what is the length of the smaller one,?
Answer:
4 cm
Step-by-step explanation:
You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².
Scale factorThe scale factor for lengths is the square root of the scale factor for areas. It will be ...
√(24/150) = 0.4 . . . . . . = smaller / larger
The smaller cardboard has a length of ...
0.4 × 10 cm = 4 cm
__
Additional comment
Sometimes folks like to write this as a proportion:
[tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]
Solving this for "smaller length" gives the expressions we used above:
smaller length = (larger length) × √(smaller area/larger area)
What word phrase can you use to represent the algebraic expression 7x?
Answer:
7 times x
Step-by-step explanation:
When the expression is seen, we can say that it displays 7 times x.
D(t)D, left parenthesis, t, right parenthesis models the distance (in thousands of \text{km}kmstart text, k, m, end text) from the earth to the Moon ttt days after the moon's perigee (when it's closest to the earth). Here, ttt is entered in radians. D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384D(t)=−21cos( 29.5 2π t)+384D, left parenthesis, t, right parenthesis, equals, minus, 21, cosine, left parenthesis, start fraction, 2, pi, divided by, 29, point, 5, end fraction, t, right parenthesis, plus, 384 How many days after its perigee does the moon first reach 380380380 thousands of \text{ km} kmstart text, space, k, m, end text from the Earth?
Answer:
6.48 days
Step-by-step explanation:
[tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]
About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.
Scratchpad
The value of b when solving the equation 2 (b+12)=16
Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
Which verbal expression is represented by 2(x + 4)?
A. twice the sum of a number and four
B. the sum of two times a number and four
C. two times the difference of a number and four
D. twice the product of a number and four
Answer:
A.
Step-by-step explanation:
The sum of a number, x, and 4 just means x + 4.
If we take twice this sum, it implies that we take the resulting number and multiply it by 2.
Our resulting number is x + 4, so we are left with 2(x + 4).
I hope this helps!
The correct answer is twice the sum of a number and four.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(x+4)
The sum of a number, x, and 4 just means x + 4.
Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.
The resulting number is x + 4, so it is 2(x + 4).
Hence, The correct answer is twice the sum of a number and four.
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
can 2x + 3y be simplified?
Answer:
no
Step-by-step explanation:
6= -3 + r
solve for r
Answer:
6=-3+r
r=9
Step-by-step explanation:
Answer:
9=r
Step-by-step explanation:
6=-3+r
+3 = +3
add 3 to both sides
9=r
the two polygons shown are similar what is the correct similarity statement
Answer:
The middle choice
Step-by-step explanation:
The first figure starts on the upper right corner and goes around from A to B to C to D.
So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.
Answer:
Determine whether each pair of polygons is similar
Step-by-step explanation:
Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)