Answers
Answer:
7.07 i believe since 10 divided by 2 sqr root is 7.07, and AC and CA are equal
Step-by-step explanation:
Step-by-step explanation:
for AC
[tex]sin(45) = \frac{x}{10} [/tex]
rearrange and solve for x
[tex]10sin(45) = x[/tex]
then do the same process with BA
Related Questions
solve
[tex]\sf \dfrac{1}{p} + \dfrac{1}{q} + \dfrac{1}{x} = \dfrac{1}{p + q + x}[/tex]
Answers
Answer:
[tex] \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}[/tex]
Step-by-step explanation:
we would like to solve the following equation for x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} [/tex]
to do so isolate [tex]\frac{1}{x}[/tex] to right hand side and change its sign which yields:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} [/tex]
simplify Substraction:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} [/tex]
get rid of only x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
simplify addition of the left hand side:
[tex] \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
divide both sides by q+p Which yields:
[tex] \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} [/tex]
cross multiplication:
[tex] \displaystyle x(p + q + x) = - pq[/tex]
distribute:
[tex] \displaystyle xp + xq + {x}^{2} = - pq[/tex]
isolate -pq to the left hand side and change its sign:
[tex] \displaystyle xp + xq + {x}^{2} + pq = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle {x}^{2} + xp + xq + pq = 0[/tex]
now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so
factor out x:
[tex] \displaystyle x( {x}^{} + p ) + xq + pq = 0[/tex]
factor out q:
[tex] \displaystyle x( {x}^{} + p ) +q (x + p)= 0[/tex]
group:
[tex] \displaystyle ( {x}^{} + p ) (x + q)= 0[/tex]
by Zero product property we obtain:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}[/tex]
cancel out p from the first equation and q from the second equation which yields:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}[/tex]
and we are done!
what is the area of the triangle 3,4,5
Answers
A linear equation, in terms of x, is correctly solved. The final step in the solution process shows that there are infinitely many solutions of the equation. Which could be the final step? A. x = 0
В. 312 = 427
C. 5,678 = 5,678
D. x = 100,000,000
Answers
Answer:
C)
Step-by-step explanation:
infinite number of solutions means the left side equals the right side of the equation
no solution means the left side does not equal the right side
x = {whatever} means there is one solution
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
Answers
explanation:
a=(pi)r^2
a=(3.14)[(13/2)^2]
a=132.665
Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)
Answers
Answer:
y = -5x + 2
Step-by-step explanation:
y = -5x + b
2 = -5(0) + b
2 = 0 + b
b = 2
y = -5x + 2
In a group of 200 students, 100 are taking Geometry, 60 are taking IPC and 5 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC?
a) 0.025
b) 0.05
c) 0.031
d) 0.083
Answers
Which of the following topics is the Broadest?
Kyrie Irving's trade request
The movement of free-agent players
The NBA draft
Answers
Answer:
Step-by-step explanation:
its nba and kyrie
Answer:
nba aND KYRIE
Step-by-step explanation:
What is 2^4 in standard form?
Answers
Answer:
2^4=16
Step-by-step explanation:
2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.
If this has helped you please mark as brainliest
Washington Middle School has a supply store for students. The graph shows the total sales of the supply store for each month over the school year.
525
450
375
Total Sales (dollars)
300-
225
150
75+
0
10
Month
What is the rate of change in total sales from month 8 to month 9?
O A. -100 dollars per month
OB. -75 dollars per month
C.-50 dollars per month
оо
OD. -25 dollars per month
Answers
Answer:
B??
Step-by-step explanation:
It is a little hard to understand because of hot it looks, BUT 300-225 is 75, 225-150=75, 150-75=75,75-70=75
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
Answers
Given:
[tex](3x+7)^2[/tex] is subtracted from 3.
To find:
The result of the given statement in the standard form of the polynomial.
Solution:
We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.
So, the resulted polynomial can be written as:
[tex]P(x)=3-(3x+7)^2[/tex]
On simplification, we get
[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]P(x)=3-(9x^2+42x+49)[/tex]
[tex]P(x)=3-9x^2-42x-49[/tex]
[tex]P(x)=-9x^2-42x-46[/tex]
Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].
Please help me pick the right answer
Answers
....................................................................
Answer:
its C
Step-by-step explanation:
5x+2+4x-3=9x-1
hopefully its helpful
Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $40. By what percent had the watch been marked down?
Answers
Answer:
20%
Step-by-step explanation:
We were given a price at $50 on sale for $40. To get the markdown percentage, take the amount of money you've discounted the merchandise at and divide it by the sales price.
$50 sweaters, you can put them on sale for $40.
[tex]50 - 40 = 10[/tex]
The difference between these two prices is $10.
Now, we need to add the amount of which it was marked down
[tex]10 + 10 = 20[/tex]
Therefore, the watch has been marked down by 20%.
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answers
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
which relation is also a function (i can’t get this wrong please help) 15 points
Answers
Answer:
The answer is d
Step-by-step explanation:
this is because a , b and c all have multiple x vales with more then one y value .
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
Answers
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?
Answers
Answer:
189
Step-by-step explanation:
To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.
567 divided by 3 = 189
I hope this helps :DDDDDDDDDDD
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answers
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
PLEASE HELP!! Step by step if possible
Answers
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answers
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
Please help with very easy math teach me to understand and I'll give brainliest
Answers
Answer:
B
Step-by-step explanation:
since a²+b²=c²
this is proven correct in answer B
As;
(8^0.5)² +(3)²=(17^0.5)²
Ayla assembles a straight path for her toy trains using 11 pieces of track. Each piece of track is 8 centimeters long.
How long is the path?
Answers
Answer:
88 centimeters
Step-by-step explanation:
8 times 11 is 88
The length of the path is 88 centimeters.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Ayla uses 11 pieces of track, and each piece is 8 centimeters long, so the total length of the path is:
11 pieces of track x 8 centimeters per piece
= 88 centimeters
Therefore,
The length of the path is 88 centimeters.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
What ideas do you have about what makes Anchorage, Alaska, cooler than Christchurch, New Zealand?
+Science
Answers
Answer:
You can explore a variety of things in Alaska. There are so many activities you could do such as visiting museums and hiking and tons more. The thing about this is that it is out in the wilderness which makes it more exciting and cooler to see nature more than it does in new zealand. The climate can be pretty chilly in Alaska but it is way much fun to see tons of glaciers. New zealand has eathquakes frequently whilst Alaska doesn't.
What is 52% of 475?
Help please
Answers
Answer:
247
Step-by-step explanation:
0.52x475=247
i hope this helps :)
Answer:
The answer is 247 because 52% of 475 is 247
Find the slope of the line that passes through (1, 10) and (9, 9).
Answers
Answer:
Step-by-step explanation:
Use the slope formula=
y2-y1 / x2-x1
the answer is
(-1,8)
Which is the value of (3+1)-(3-1)?
A. -1
o
B. 0
C. 2
C
D. 2i
O E 6+21
Answers
(3+1) equals 4
(3-1) equals 2
4-2=2
Find the equation of the line
That is perpendicular to y=-2x+1 and contains the point (8,2)
Answers
Answer:
y=.5x-2
Step-by-step explanation:
If one line is perpendicular to another that means that their slopes are negative reciprocals
which means that the slope (or m in y=mx+b) is .5
so far we have
y=.5x+b
to solve for b we plug in (8,2)
2=.5(8)+b
2=4+b
-2=b
therefore our equation is
y=.5x-2
Answer:
hope it helps
stay safe healthy and happy.
The ratio of two siblings current age is 1/2. In ten years the ratio of their ages will be 3/4. How old are they now?
Answers
Answer: 3:5
Step-by-step explanation: heres the answer
the way you speak, or your ___, Can let others know how you are feeling
A.tone
B.emotion
C.voice
D.language
Answers
Answer:
A, tone
Tone can also be used in poetry or writing to set the mood. It's kinda like your attitude, so this is the best answer.
Step-by-step explanation:
Answer:
Tone
Step-by-step explanation:
Tone matters more than word choice.
Please help me!!!!!!!!!!!!
Answers
Answer:
16.03
Step-by-step explanation:
Please help me choose the right answer