50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
I know from the answer key that the answers are x=
3 \sqrt{10}310
and y=
2 \sqrt{10}210
but I'm not sure how to get there...
Answer:
x = 3/5√10
y = 2√10
Step-by-step explanation:
using the Pythagorean theorem:
y² = 7² - 3² = 49 - 9
y² = 40
y = 2√10
3/4.5 = y/5x
4.5y = 15x
substitute for y:
4.5(2√10) = 15x
15x = 9√10
divide both sides of the equation by 15:
x = (9√10)/15 = 3/5√10
A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.
Answer:
= 41.32N
To find N amount
You find the kg weight then times it by 10 then divide that amount by 1/2
So that 180pounds = 81.6466 x 10kg
x10 = 816.466
81.6466 / 2 = 40.8233
sin(30) = 40.8233/T
T = 40.8233/sin (30) = N / sin(30) = Tension = calculator = -41.3178070464 = 41.32 N
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = [tex]\sqrt{196}[/tex]
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = [tex]\frac{3\sqrt{3}}{2}(\text{side})^2[/tex]
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = [tex]\frac{3\sqrt{3}}{2}(9)^2[/tex]
= 210.44 square units
≈ 210.4 square units
60 minutes is what percentage of 1 hour?
Answer:
100%
Step-by-step explanation:
Answer: 100 is your answer hope this helped
plz make brainly
Step-by-step explanation:
what is it what is it what is it?!
Answer:
1.0 g element will be remaining after 19 minutes
Step-by-step explanation:
Answer:
1.0 g element will be remaining after 19 minutes
Step-by-step explanation:
Show how to use substitution or elimination to solve the following system of equations. Write your solution as an ordered pair:
7x + y = 5 , 7x + y = -2
( , )
And please tell me if you used substitution or elimination. TYSM
Answer:
x=.5, y=-5.5
Step-by-step explanation:
7x+y=5, 7x+y=-2
Simplifing 7x+y=5 first
7x+y=5
y=-7x+5
Next, 7x+y=-2
7x+y=-2
y=-7x-2
Plugging in -7x+5 into y
-7x+5=-7x-2
-14x=-7
x=.5
Plugging .5 into y=-7x-2
y=-7(.5)-2
y=-3.5-2
y=-5.5
I used substitution if your couldn't tell
Hope it helps!
Brainliest maybe? :o
Find the probability that a randomly selected points within a square falls in the blue shaded area (circle)
Answer:
78.8 %
Step-by-step explanation:
From the question,
Area of the square = L²
A = L²
Where L = Length of the square.
From the diagram,
L = 4 in
Therefore,
A = 4²
A = 16 in².
Also,
Area of the circle (A') = πr²
Where r = radius of the circle.
Given: r = 2 in
Therefore,
A' = 22/7(2²)
A = 12.6 in²
Hence,
The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A
Pr = 12.6/16
Pr = 0.7875
Pr(%) = 78.75
Pr(%) = 78.8 %
which statements are true about the multiplication division properties of rational expressions check all that apply ?
A. closure property of multiplication states that the product of two rational expressions as a rational expression
B. the commutative property only holds true for the multiplication of rational expressions
C. the associative property holds true for both multiplication and addition of rational expressions
D the associative property states that the way in which two or more factors are grouped in a product changes the value of the product
E. the properties of rational expression multiplication and division are parallel to the properties of rational number multiplication and division
Answer:
a and c statements are true
Step-by-step explanation:
closure property of multiplication states that the product of two rational expressions as a rational expression
C. the associative property holds true for both multiplication and addition of rational expressions
Answer:
The answer is a, b, and e
Step-by-step explanation:
a first number plus twice a second number is 8 twice the first number plus the second totals 25
Answer:
x=14 y=-3
Step-by-step explanation:
pls help asap no wrong answer pls
Answer:
I believe both A and B are correct
Step-by-step explanation:
Answer:
diagram b
Step-by-step explanation:
Find the probability of selecting a vowel from the word “MATHEMATICS” [please help!!!!]
Which values are solutions of the inequality 5
Choose ALL that apply.
9 or 13 or 15 or 20
Answer:
a i forgot
Step-by-step explanation:
The sum of two numbers is10 . The difference is2 .
Find the two numbers by creating a system of equations for the situation.
Then, graph each linear equation.
Finally, indicate the solution by marking the point of intersection.
show your answer in a graph
Answer:
6 and 4Step-by-step explanation:
Let the numbers are x and y.
Then the equations are:
x + y = 10 (blue line)x - y = 2 (red line)The graph are attached with the intersection marked:
(6, 4)Hurry need help on number 1 fast pls pls pls!!!
Answer:
the second answer is the answer
What is the area of this trapezoid?
Enter your answer in the box.
Answer:
80
Step-by-step explanation:
I need help with this please help me out
Answer:
A and E
Step-by-step explanation:
hope that helps
Solve for x. round to the nearest then tenth. Please help!!!
Answer:
13.7
Step-by-step explanation:
Answer:
x=36
Step-by-step explanation:
22+x=58
22-22= cross that out
58-22= 36
x=36
Please help! Brainliest answer if you do!
Answer:
C.
Step-by-step explanation:
PLEASE HELPPP!! fill in the blank with + or -
reporting if you post a inappropriate comment.
Answer:
Top box is +, left box is +, right box is -, bottom box is +
Step-by-step explanation:
Hopefully that makes sense lol
what is the measure of ZDEG on circle O?
Answer:
∠ DEG = 50°
Step-by-step explanation:
Angles on the circle subtended by the same arc are congruent.
∠ CFG and ∠ DEG are angles on the circle subtended by arc CD , then
∠ DEG = ∠ CFG = 50°
Answer:
50° parallel lines subtended on circumference theorem, and congruent angles seen as subtended on same arc lone examples attached.
15!!!! POINTSS what is the mode in the data shown below
Roberto orders 13 quarts of special BBQ sauce. It costs him a total of $206.57. write an equation that can be used to find how much each quart cost. solve the equation
9514 1404 393
Answer:
13c = 206.57
Step-by-step explanation:
If c is the cost of 1 quart of sauce, then 13c is the cost of 13 quarts. We are told that is $206.57, so the equation is ...
13c = $206.57
__
You may be required to leave the dollar sign out of the equation. If you leave it in, then the answer comes with its own units (dollars).
c = $206.57/13 = $15.89
Please find the area of the trapezoids.
By the way, the answer is NOT 10.5.
Answer:
42 square units
Step-by-step explanation:
Hello There!
The area of a trapezoid can be found using this formula
[tex]a = \frac{a + b}{2} h[/tex]
where a and b are bases and h is height
if you look at the graph we can see that the lines are counting by 2 units
knowing this we want to find the dimensions
the shown trapezoid has the following dimensions
a =2*2 or 4
b=5*2 or 10
h=3*2 or 6
having found this information we then plug it into the formula
[tex]a = \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\ \frac{14}{2} = 7 \\ 7 \times 6 = 42[/tex]
so we can conclude that the area of the trapezoid is 42 square units
A plant has an initial height of 1 inch and grows at a constant rate of 3 inches each month.A second plant that also grows at a constant rate has an initial height of 4 inches and is 28 inches tall after 1 year. After how many months are the plants the same height?
Answer:
3 MONTHS
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Can someone solve this with explaining it
Answer:72
Step-by-step explanation:
72+37=109
180-109=72
I IS MATH
Answer:
72°+37°+x°=180°(being exterior angles)
109°+x°=180°
x°=180°-109°
x°=71°
use the model below to write and solve equation
Answer is:
X is 1, very simple
Kerry has a 50% off coupon for GameStop. How much will a $35.95 game cost if he uses the coupon?
A.$28.71
B.$5.24
C233.00
D. None of the above
Answer:
D: None of the above because 35.95/2=17.975.
Step-by-step explanation:
Divide 35.95 by 2.
The ages of the members of a volunteer group are shown below.
13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23
Which box and whisker plot best represents these data?
Step-by-step explanation:
here it is. ...............
Help with this please!
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: y + 4= 9/4(x - 3)
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
can someone please help me?
Answer:
m<2 = 150
Step-by-step explanation:
m<2 = 150 because of alternate exterior angles