Bianca calculated the height of the equilateral triangle with side lengths of 10.
tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.
A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.
The apothem, rounded to the nearest tenth, is
units.
The perimeter of the equilateral triangle is
units.
Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.
The calculated areas are
.
Answer:
The apothem, rounded to the nearest tenth, is
2.9 units.
The perimeter of the equilateral triangle is
30 units.
Therefore, the area of the equilateral triangle is
1/2(2.9)(30), or approximately 43.5 units2.
The calculated areas are
the same, despite using different formulas.
Step-by-step explanation:
Edge
Each mobile bags sold by Ravi’s marble company contains 4 purple marbles for every 7 orange marbles if the bag is 56 orange marbles how many purple marbles does it contain
Answer:
56/7 is 8 so 8x4 is 32 is is easy
The number of purple marbles that the bag contains out of total marbles in the bag is 32.
To find the number of purple marbles in the bag, we can use the given information that each bag contains 4 purple marbles for every 7 orange marbles.
Let's calculate the number of purple marbles in the bag:
1. Given: The bag contains 56 orange marbles.
2. Since the ratio of purple marbles to orange marbles is 4:7, we can set up a proportion:
Purple marbles / Orange marbles = 4 / 7
3. Substitute the given number of orange marbles (56) into the proportion:
Purple marbles / 56 = 4 / 7
4. Now, solve for the number of purple marbles (Purple marbles):
Purple marbles = (4 / 7) * 56
Purple marbles = (4 * 56) / 7
Purple marbles = 224 / 7
Purple marbles = 32
So, the bag contains 32 purple marbles.
Learn more about ratio here
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HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form
Enter your answer in the boxes
Y=__x+__
Answer:
Y= -5x + 6Y
Step-by-step explanation:
(-5, -2.5) to (1.5, 6)
Solve for h. (h − 8)(h + 2) = 0
Answer:
donwload the gautmaht this is very powerful calculator to math problems
Step-by-step explanation:
make this is helpful too you
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48
Answer:
48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child
Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answer:
-7
Step-by-step explanation:
Because the step in puting slope is respectly (x,y)
10. Find the value of x.
(5x+12)° (3x+8)°
10
15
20
25
Answer:
3x+8+5x+12
8x+20=180
A. 80+20=100 No
B. 120+20=140 No
C. 160+20=180 Yes
D. 200+20=220 No
The Answer is C
Hope This Helps!!!
Answer:
x = 20
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8
5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is
5x + 12 + 3x + 8 = 180
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
What is greater -5 1/2 or 6.5
Answer:
6.5
Step-by-step explanation:
Hep help help math math math
Answer:
525
Step-by-step explanation:
hope this helps
Answer:
526
Step-by-step explanation:
9/5 - (-2 7/10) and write it as a fraction and simplest form
Answer:
probably 4.5 if im not mistaking
Answer:
4 1/2
Step-by-step explanation:
(-2 7/10) = (-2.7)
9/5 = 1.8
1.8 - (-2.7)
= 1.8 + 2.7
= 4.5 or 4 1/2
Answers please ASAP!!!
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
The equation of the line is y-2x+5=0 I believe. Good luck :)
Triangle DCB is congruent to triangle IGH what is an less than H
Answer:
no cuh
Step-by-step explanation:
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answer:
40-d
Step-by-step explanation:
Find the area of the trapezoid
Answer:
18000Step-by-step explanation:
Given,
Back of lot of the trapezoid = 175
Front of lot of the trapezoid = 185
Length of lot of the trapezoid = 100
Therefore,
Area of the given trapezoid
[tex] = \frac{a + b}{2} c[/tex]
[On putting values][tex] = \frac{175 + 185}{2} \times 100[/tex]
[On Simplification]= 360 × 50
[On multiplying]= 18000
Hence,
The required area of the given trapezoid is 18000 (Ans)
2-4(3+4k)=54
Distributing^^^^^^
Answer:
Ok that is good
Step-by-step explanation:
Answer:
k = 3.2
Step-by-step explanation:
2 - 4(3 + 4k) = 54
=> 2 - 12 + 20k = 54
=> -10 + 20k = 54
=> 20k = 64
=> k = 3.2
Hoped this helped.
Find a formula for the Nth term of sequence:
3,5,9,17
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.
Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:
270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X
Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Learn more about maths in https://brainly.com/question/25901815
NEED HELP ASAP 50 POINTS PLEASE DO ALL OF THEM !!!!!in the item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. 1 2 4 3 5/6 7 8 ITEM BANK Move to Bottom 1&8 267 3 &5 3 & 6 3 & 8 4 & 5 4 & 6 4&7 Alternate Interior Zs Corresponding Ls Alternate Exterior Zs Consecutive Interiors 1 & 5 2 & 6
Answer:
the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt
Step-by-step explanation:
Sorry if this is late lol. Hope this helps other people too though.
Alternative interior
4 & 6
3 & 5
Corresponding
1 & 5
4 & 7
2 & 6
3 & 8
Alternative
1 & 8
2 & 7
Consecutive
4 & 5
3 & 6
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
graph -1,-1 on this graph
Answer:
so that's how you plot their intersection
Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.
A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres
Answer: B: 3.45
Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.
Pls help!!!!!!!!!!!!!
Answer:
eat tacos until you bloat
Step-by-step explanation:
AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.
The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Learn more on fractions here; https://brainly.com/question/78672
Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.
Answer:C
Step-by-step explanation:
4x^2+8x-12 in vertex form
Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
Help help hep math math
[tex]300 {ft}^{2} [/tex]
Step-by-step explanation:
d=20
r=10
π=3
[tex]a = \pi{r}^{2} [/tex]
[tex]a = (3) {(10)}^{2} [/tex]
[tex]a = 300[/tex]
Answer:
A = 300 ft^2
Step-by-step explanation:
First we need to find the radius
r = 1/2 d
The diameter is 20
r = 1/2(20) = 10
A =pi r^2
We are using 3 for pi
A = 3( 10)^2
A = 3 * 100
A = 300 ft^2
Please help me!
ty ty :)
Answer:
The answer is steeper.
I'm not sure about the slope thingy. But the line looks Steeper instead of flatter
Justin's pays is represented by this line graph.
How much is Justin paid for one hour of work?
Answer:
He is been paid $7 per hour
Step-by-step explanation:
140dollars/ 20 hours