Answer:
7[tex]\sqrt{3}[/tex]
Step-by-step explanation:
the altitude creates two congruent 30-60-90° triangles
the ratio of the sides in a 30-60-90°, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2
therefore we can set up a proportion to find the side length:
let 'x' = side length of equilateral Δ
[tex]\sqrt{3}[/tex] / 1 = 21 / x
cross-multiply:
[tex]\sqrt{3}[/tex]x = 21
x = 21 / [tex]\sqrt{3}[/tex]
rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt{3}[/tex]
21[tex]\sqrt{3}[/tex] / [tex]\sqrt{3}[/tex]·[tex]\sqrt{3}[/tex] = 21[tex]\sqrt{3}[/tex] / 3 or 7[tex]\sqrt{3}[/tex]
What is the measurement of this angle?
what type of communication coordinates actions within cells?
Answer:
Step-by-step explanation: Chemical signal is the type of communication which coordinates actions between neighboring cells . This ability originated in single cells organisms and was essential for the evolution of multicellular organisms because after a cell receives a message, it is transferred across the plasma membrane and changes are brought about within the cell in response to this message.
Which is the solution to the equation − 3 ( 2 x + 5 ) 5 = − 3 ? A. 21 B. 0 C. no solution D. infinite solutions
Answer:
Infinite solutions or more
I attached the question
Answer:
The answer for the first one is 6,9 and the second one is 5
Step-by-step explanation:
hope this helped !! :)
Answer:
i dont know
Step-by-step explanation:
Maybe try looking up 20/12 and then apply that to the other problems
The graph shows the number of points, y, a player earns in a balloon game
based on the number of balloons popped, X.
Aspirin is sold in boxes of 24 for $3.69, 50 for $5.49, 100 for $8.29, and 150 for $11.99. Which box has the best unit rate.
Answer:
150 for 11.99
the pills in this box are the cheapest
Answer:
150 for $11.99
Step-by-step explanation:
Rachael is 12 years older than Kayla. If the sum of their ages is 48, how old are they?
Answer: Rachel is 30 years old and Kayla is 18
Step-by-step explanation:
I got the answer like this:
What plus what equal 48. 24 + 24
So to get the answer I subtracted one from the first 24, and added one to the second 24.
I did this until they were 12 numbers away. This gave me their age.
Convert the expression 10-(-30) to an addition expression.
HELPPP MEEE PLSSSSSSSSS
Answer:
10 + 30
Step-by-step explanation:
10-1(-30)
10+1(30)
10+30
If Area Sub made 36 sandwiches using 9 pounds of ham. How much ham was used per sandwich?
Answer:
4 poundsStep-by-step explanation:
[tex]\frac{36}{9}[/tex] = 4
I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Answer:
Step-by-step explanation:
Total number of sandwiches = 36
Total pounds of ham = 9 pounds
per pound = 36 ÷ 9 = 4 sandwiches
Ham per sandwich = 0.25 pounds
What is the equation of a line with a y-intercept of --3 and a slope of 5?
Answer:
y=5x-3
Step-by-step explanation:
(3x 2 + 5x - 8) and (x^2-3x + 2)
Answer:
(3x 2 + 5x - 8) = (3x+8)(x−1)
(x^2-3x + 2)= (x−1)(x−2)
Step-by-step explanation:
you just have to factor
Answer:
1) 11x-8
2) x2-3x+2
Step-by-step explanation:
if it is correct plz plz mark as brainliest
thank you
19NBoli
VW = WX = YW = ZX = VX = view image attached thank youuu!
Answer:
assuming this is a rectangle:
VW=31
WX=19
YW=36.36
ZX=18.18
VX=36.36
Step-by-step explanation:
VW=VX
VW=31
WX=VX
WX=19
YW^2=19^2+31^2
YW^2=361+961
YW^2=1322
YW=36.36
ZX=1/2VX
ZX=18.18
VX=YW
VX=36.36
The measures of the rectangle are
a) The measure of VW = 31
b) The measure of WX = 19
c) The measure of YW = 36.36
d) The measure of ZX = 18.18
e) The measure of VZ = 18.18
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as VWXY
Now , the diagonals of the rectangle are VX and WY
Substituting the values in the equation , we get
The measure of VY = 19
The measure of XY = 31
Now , for a rectangle the opposite sides are congruent
So , the measure of VY = measure of WX
And , the measure of XY = measure of VW
On simplifying the equation , we get
The measure of WX = 19
The measure of VW = 31
And , the diagonal of the rectangle = √ ( Length )² + ( Width )²
Substituting the values in the equation , we get
The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²
The diagonal of the rectangle YW = √ ( 961 + 361 )
The diagonal of the rectangle YW = 36.359 ≈ 36.36
And , the measure of VX = measure of YW = 36.36
Now , the measure of ZX = measure of VZ = measure of VX / 2
So , the measure of ZX and VZ = 36.36 / 2 = 18.18
Hence , the diagonal of the rectangles is 36.36
To learn more about diagonals of the rectangle click :
https://brainly.com/question/13583275
#SPJ2
According to Okun's law, if the unemployment rate goes from 7% to 4%, what
will be the effect on the GDP?
Answer:
Step-by-step explanation:
Jason bought 3 shirts that each cost the same. He had a coupon for $10 dollars off and he spent $65 altogether. Which equation can be used to find the cost of each shirt?
Answer: $18.33
Step-by-step explanation:
c = cost
c = (65-10) / 3
c = 18.3333333333
c = $18.33
5 x - 3 = 27 , x=___ help
Answer: x=6
Step-by-step explanation:
Given
5x-3=27
Add 3 on both sides
5x-3+3=27+3
5x=30
Divide 5 on both sides
5x/5=30/5
x=6
Hope this helps!! :)
Please let me know if you have any questions
(3x²+4x-1)+(-2x²-3x+2)
Answer:
x
Step-by-step explanation:
Which graph shows a vertical translation of ƒ(x) up 5 units to give a new function g(x)?
I mist that one its not the first one
Step-by-step explanation:
Answer:
The correct answer is the last image...I just got it right on the quiz.
Step-by-step explanation:
Choose one card that does not belong. Explain why
that card does not belong. Be specific.
HELP PLEASE
Answer:
I believe it would the the parallel on the top left
Step-by-step explanation:
I said the parallel because the other three are all angles (acute(<90),Right(90) and obtuse(90>)
Which equation is equivalent to x+8 = 21?
^ (x+8) X 4 = 21
© (X + 8) X 4 = 21 X 2
0 (X + 8) X 4 = 21 X 4
® (X + 8) X 4 = 214
If the diameter of a tree trunk is growing 14 1 4 inch each year, how many years will it take for the diameter to grow 8 inches?
Answer:
I think its 1/4 or something like that
if it is 1/4 inches per year:32 years
if it is 14 inch per year:4/7 years
Step-by-step explanation:
please help me on this will give you brainliest!!
Answer:
∠3 would be 134° because it is alternate interior to ∠5
∠2 would be 46° because it is supplementary to ∠1
Hope this helped
Urgent please help..
Answer:
4 in
Step-by-step explanation:
bac=6in2 3*2=6 then 2*2=4in2
Write the equation of a line that passes through (4,5) with a slope of 3
Answer:
y = 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = 12 + c ⇒ c = 5 - 12 = - 7
y = 3x - 7 ← equation of line
As an estimation we are told 5 miles is 8 km.
Convert 22.3 km to miles.
Answer:
13 miles lol that's what I Kno
Please needed as soon as possible thank you
Answer:
43. [tex]= \frac{.0045}{100}[/tex]
44. [tex]4\frac{9}{10}[/tex]
45. 8
Step-by-step explanation:
43. 0.45% = .0045
[tex]= \frac{.0045}{100}[/tex]
44. [tex]\frac{1}{2}[/tex] • [tex]9\frac{4}{5}[/tex]
= [tex]4\frac{9}{10}[/tex]
45. VIII = 8
Harder questions.
Will give, Branliest.
Answer:
425p + 100
Step-by-step explanation:
only answer that makes sense
Write an equation of a line that passes through (2,3) and has a slope of 1/4?
Rewrite the rational function g(x) =x-9/x in the form g(x) = c+ r/x, where c and r are constants.
Answer:
g(x) = 1 - 9/xStep-by-step explanation:
Given the rational function g(x) =(x-9)/x, we are to express in the form g(x) = c+ r/x, where c and r are constants.
g(x) = (x-9)/x
Expressing as partial fraction since they have the same denominator
g(x) = x/x - 9/x
Since x/x = 1, hence;
g(x) = 1 - 9/x
Comparing with g(x) = c+ r/x, c= 1 and r = -9
Hence the equivalent expression is g(x) = 1 - 9/x
A cylindrical water container has a diameter of 4cm and a height of 36mm. what is the total surface area of the water container in cm?
No wrong answers else I will report it, if correct I will mark you as a brainlister & follow you.
Answer:
477.52cm^2
Step-by-step explanation:
Brainliest or I will report you
Ok I need help ASAP pls like right now points are going giving and mark brainless pls help I need answers for 1,2,3
Answer:
1. 30 student
2. 120 student's didn't vote
3. 7 quarters
Step-by-step explanation:
1. first, see how many games can be played:
45÷3 = 15
then, multiply the number of games by two because 2 students can play per game
15 • 2 = 30
2. first, figure out what percent of students did not vote:
100 - 60 = 40%
then, multiply the number of students total (300) by the decimal of the percent that did not vote to find the number of students who didn't vote:
300 • .40 = 120 student's didn't vote
3. first, find how much 9 dimes is:
1 dime = $0.10
9 dimes = 9 • $0.10 = $0.90
then, find how much money kerry had:
$2.65 - $0.90 = $1.75
finally, find out how many quarters kerry had by dividing the amount of money she had by the worth of a quarter:
1 quarter = $0.25
$1.75 ÷ $0.25 = 7 quarters