1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
I needddddd heelllpppp pleaseeee
Answer:
3/2
Step-by-step explanation:
Csc(theta) = 1/Sin(theta)
So we have to find the side opposite theta.
a = 3*sqrt(5)
b = ?
c = 9
a^2 + b^2 = c^2
(3sqrt(5)) ^2 + b^2 = 9^2
9*5 + b^2 = 81
b^2 = 81 = 45
b^2 = 36
sqrt(b^2) = sqrt(36)
b = 6
Sin(theta) = 6/9
Csc(theta) = 1 / sin(theta) = 9/6
Csc(theta = 3/2
Problem 3
Answer: 3/2=====================================================
Explanation:
Use the pythagorean theorem to find the length of the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\[/tex]
This is the length of the missing vertical side. This side is opposite the angle theta.
[tex]\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
Alternatively, you can compute it like this
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
[solve each equation for the indicated variable]
2A=πr2 for π
Answer:
π = 2A/ r²
Step-by-step explanation:
[tex]\pi = \frac{2a}{ {r}^{2} } [/tex]
Which rational number best describes Point A and Point B on the number line? *
(IMAGE BELOW)
-2.1
-2.75
-3.2
-3.25
df = g + 32
solve for d
Answer and Step-by-step explanation:
To solve for d, divide f from both sides of the equation.
df ÷ f = (g + 32) ÷ f
d = [tex]\frac{g+32}{f}[/tex] is the answer.
#teamtrees PAW (Plant And Water)
I hope this helps!
Mary Smith ordered 3/4 truckload of merchandise. If approximately 1/3 of the merchandise has been unloaded, how much remains to be unloaded?
Step-by-step explanation:
Given that,
Mary Smith ordered 3/4 truckload of merchandise.
If approximately 1/3 of the merchandise has been unloaded.
To find,
How much remains to be unloaded?
Solution,
Remaining amount = Total truckload - Unloaded amount
Let x is the remaining amount. So,
[tex]x=\dfrac{3}{4}-\dfrac{1}{3}\\\\x=\dfrac{3(3)-4}{12}\\\\x=\dfrac{5}{12}[/tex]
Answer:
So, the remaining amount is [tex]\dfrac{5}{12}[/tex].
Reference:
https://brainly.com/question/10445856
Using formula:
Remaining amount = Total truckload - Unloaded amount
Calculating the remaining amount:
[tex]\to \bold{x=\frac{3}{4}-\frac{1}{3}}\\\\[/tex]
[tex]\bold{=\frac{3\times 3-4}{12}}\\\\\bold{=\frac{9-4}{12}}\\\\\bold{=\frac{5}{12}}\\\\\bold{=0.416}\\\\[/tex]
Therefore, the remaining amount is "0.416"
Learn more:
brainly.com/question/10445856
What is the distance between the
points (-8, -3) and
(-2, -5)?
Question
What is the distance between the
points (-8, -3) and (-2, -5)?
Answer:
let the distance between the points be A(-8, -3) = x_1 ,y_1 and B (-2, -5)
= x_2 ,y_2.
Now,
According to the Pythagoras theorem,
d = √ (x _2 −x _1 )^2+(y _2 −y _1 )^2d=√(-2-(-8))^2 + (-5(-3))^2d= √(6)^2 + (15)^2d= √36+225d= √261d= 3√29Therefore d(distance) = 3√29
what is 98 divided by 5
Answer:
19.6
Step-by-step explanation:
the answer to the question is 19.6
Answer:
19.6
Step-by-step explanation:
We have to do long devision:
5 goes into 9 how many times? Once. So our first number will be one.
9 - 5(1) = 4
Bring the 4 down. Then bring the 8 from 98 down.
5 goes into 48 how many times? Nine times. So our second number will be nine.
48 - 5(9) = 3
Bring the 3 down. Since there is no numbers left from 98, add a decimal and then a zero to make the number 98.0.
5 goes into 30 how many times? Six times. So our third number will be six. Don't forget to add the decimal before the six!
30 - 5(6) = 0
Write as an expression. The quantity 10 less than x, divided by 4
Answer:
[tex]\frac{x-10}{4}[/tex]
Step-by-step explanation:
When it says less then that means 10 is less than x. You can write divided by 4 either by putting it as a fraction or by using the division sign as "x-10 / 4."
The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
If the quantity 10 is less than x, then the expression will be
⇒ 10 - x
Then the quantity 10 less than x and divided by 4, then the expression will be
⇒ (10 - x) / 4
The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the slope for (5,-1) ,(4,-3)
Answer: slope = 2
Step-by-step explanation:
slope formula is y2-y1 / x2-x1
let’s make 5, x1 and -1, x2, 4, x2 and -3, y2.
if you plug the numbers in it should look like
-3 - -1 / 4-5 = -2/-1 = 2 (positive two). it’s a positive 2 because a negative times a negative is a positive and a positive times a negative is a negative
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answer:
23. The choose A.24. The choose C. –6/5[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{2 - ( - 4)}{ - 4 - 1} = \frac{2 + 4}{ - 5} = \frac{6}{ - 5} [/tex]
25. The choose E .f(x)=4xf(1)=4(1)=4
f(2)=4(2)=8
f(3)=4(3)=12
f(4)=4(4)=16
f(5)=4(5)=20
I hope I helped you^_^
What is 9/4 (5/6 - 11/15)
Answer:
9/40
Step-by-step explanation:
9/4 (5/6 - 11/15)
9/4 (1/10)
= 9/40
Write -5i, 2, and 7 in the simplest polynomial function given the roots
Answer:
x^4-9x^3+39x^2-225x+350
Step-by-step explanation:
The simplest polynomial you can get with that roots are (x-5i)(x+5i)(x-2)(x-7)=x^4-9x^3+39x^2-225x+350
whats [tex]\frac{9}{3}[/tex] + 2(6) + 5 ?
i did the first part already but i dont get the second one
Answer:
c = 275n
Step-by-step explanation:
It's saying what is the rule, which would be 275 dollars per arce. Now, put that into an equation: c = 275n
Solving equations involving vertical angles
Given the figure below, find the values of x and z.
Answer:
[tex]x=5\\z=94[/tex]
Step-by-step explanation:
As they are vertical angles
∴[tex]7x+51=86\\=>7x=35\\x=5[/tex]
And,
∴[tex]86+86+z+z=360\\=>2z=188\\z=94[/tex]
I have added an image for your further observation
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
2 multiplied by b is equal to 8
Answer:
2*b = 8
b=4
Step-by-step explanation:
2*b = 8
Divide each side by 2
2b/2 =8/2
b=4
1. which numbers below are best classified as Rational nombers? Select all that apply.
.032
20/4
-2
-2/3
99/2
Answer:
All are rational numbers.
Step-by-step explanation:
1)0.032 is rational because it is terminating number.A terminating number is always rational.
2)20/4=5. It is also a rational number becasue 5 is natural/whole number.They are also rational.
3)-2 is an integer and also falls in rational numbers.
4)-2/3=-0.666.....
It is a non-terminating and recurring number.This category also falls in rational.
5)99/2=49.5
It is also a terminating number it is a rational number.
Note: all above numbers can be written in p/q form.
Ivan sold 37 boxes of oranges on Friday and 33 boxes on Saturday during a citrus sale. there were 10 oranges in each box. how many oranges did he sell in all?
Answer:
He sold 700 oranges
Step-by-step explanation:
37x10=370
33x10=330
370+330=700
1. Identify each pair of angles as complimentary, supplementary, or neither.
Answer:
Neither
Step-by-step explanation:
One angle is 90
Another angle is 43
Complimentary angle: If sum of two angles is 90, then they are complimentary.
Supplementary angle: If sum of two angles is 180, then they are supplementary.
So, the above mentioned are neither of these
a) Draw the graph of y = 4x - 1
on the grid.
In
40
8
b) Use the graph to estimate the
value of x when y = 1
6
Straight Line Graphs
View One Minute Version
Overview
Answer:
a) linked a screenshot of the graph.
b) when y=1 x=.5
Step-by-step explanation:
4 is the slope, which makes the graph angle different. Starting at the origin (0,0) if you go over 1 and up 4 that is how you can draw the slope on a graph.
-1 makes the line go to the right 1 time so instead of the graph being on the origin (0,0) it will be placed on the coordinate points of (1,0)
To find the x value. Find 1 on the y-axis of the line graph. Go to the right to find where the line intersects. After you find that go straight down to find the x-value (0.5)
is 9.40 equal to 9.4
Answer:
no
Step-by-step explanation:
if it was 9.04 it would
its not equal because 9.40 is 10^2 but 9.4 is 10^1
H(x) = 1/x+2 and k(x) = 3x - 4
h[k(x)] =
A.(3x - 4)/(x+2)
B. 1/(4x - 2)
C. 1/(3x - 2)
Answer:
= 1/ (3x-2)
Step-by-step explanation:
H(x) = 1/(x+2)
k(x) = 3x - 4
h[k(x)] = place the function k(x) in for x in the function h(x)
= 1/(3x-4 +2)
Combine like terms
= 1/ (3x-2)
Hey there! I'm happy to help!
What we need to do is take the value of k(x) which is 3x-4 and plug it into the function h(x).
This is because our x in the function h[k(x)] is k(x), so we will substitute that value for x in that formula and that will give us our answer.
H[(k(x)]=1/(3x-4+2)
And combine like terms
H[(k(x)]=1/(3x-2)
So, our answer is C. 1/(3x-2)
Have a wonderful day and keep on learning! :D
This diagram was created by starting with points A and
B and using only straightedge and compass to construct
the rest. All steps of the construction are visible.
Describe precisely the straightedge and compass moves
required to construct the line CD in this diagram.
The drawing instruments required for a construction, is dependent on the type of construction performed
The straightedge and the compass moves required to construct the line CD in the diagram are;
Move 1: Place the compass at point A and draw circle A with center at A and radius ABMove 2: Place the compass at any point of the circumference of circle A and label the point, at point B. Draw a second circle with the same radius AB and center at point B with the compassMove 3: Label the point the two circles intersect as points C and DMove 4: Place the straightedge at points C and D and construct the straight line CDLearn more about technical drawing here:
https://brainly.com/question/157137
Answer:
Move 1: Place the compass at point A and draw circle A with center at A and radius AB
Move 2: Place the compass at any point of the circumference of circle A and label the point, at point B. Draw a second circle with the same radius AB and center at point B with the compass
Move 3: Label the point the two circles intersect as points C and D
Move 4: Place the straightedge at points C and D and construct the straight line CD
Step-by-step explanation:
can someone help me with this please?
Answer:
[tex]1)then \: we \: can \: seperate2x \\ 2)then \: we \: can \: get \: x \: alone \\ 3)we \: add \: and \: divide \: in \: both \: side \\ \: of \: this \: equation \: equally \: \\ 4)we \: get \: wrong \: answer \\ thank \: you[/tex]
Find all y-intercepts of the following function. Express your answer as a coordinate
point in simplest form.
X-4
F(x)=————————
X^2+5x-36
Step-by-step explanation:
to find y intercept, put x to be 0
hence,y int is -36
also, to find x int put y to be 0 and factorise the equation
hence, x are - 9 and 4
finally, the answer in a co ordinate are
(4,-36) , (-9,-36)
Can someone help me with this??
Carlos and Pamela are going on a road trip. They are driving a total of 650 miles in three days to reach the destination. They took it easy the first day. On the second day, they drove twice as many miles as the first day. On the third day, they drove 50 miles more than the second day. How many miles did they drive each day?
Answer:
Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.
Step-by-step explanation:
Let x be the number of miles driven on the first day.
Then they drove twice as many miles, or 2x on the second day
and 50 miles more than the second day's, so 2x + 50
The total is 650 across all three days, so we'll take the sum.
x + 2x + (2x + 50) = 650
Combine like terms on the left
5x + 50 = 650
Subtract 50 on both sides
5x = 600
Divide by 5 on both sides
x = 120
Check work:
120 + 2(120) + 2(120) + 50 = 650
120 + 240 + 240 + 50 = 650
600 + 50 = 650
650 = 650
So they drove 120 miles on the first day
2*120 = 240 miles on the second day
and 2*120 + 50 = 240 + 50 = 290 miles on the third day
The number q is rational. Which statement about q- 10 is true
Answer:
you forgot to add the statements
12,548 rounded to the nearest thousand and 4,685 rounded to the nearest thousand
Answer:
12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000
Step-by-step explanation:
Answer:
13,000 and 5,000
Step-by-step explanation:
b can you help me ...
11>2+3x
plz i neec help plzzzzz
Answer:
x < 3
Step-by-step explanation:
11 > 2 + 3x
3x + 2 < 11
3x (+ 2 - 2) < 11 - 2
3x < 9
3x/3 < 9/3
x < 3
Answer:
3 >x
Step-by-step explanation:
11>2+3x
Subtract 2 from each side
11-2>2-2+3x
9 > 3x
Divide each side by 3
9/3 > 3x/3
3 >x