Tia cut 4-meter 8-cenimeter wire into 10 equal pieces. Martha cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?
Answer: 19.2 cm
Step-by-step explanation:
A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:
= 4.08 * 100
= 408 cm
She cuts this into 10 equal pieces:
= 408 / 10
= 40.8 cm
Martha cuts her 540 cm wire into 9 pieces. Each piece is:
= 540 / 9
= 60 cm each
The difference is:
= 60 - 40.8
= 19.2 cm
Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C
Answer:
option 2
angles B and D are the alternate interior angles
lines DE and AB being parallel lines and and line BC being the transversal
Answer:
The answer is B and D
Step-by-step explanation:
Confirmed
(Smart people will get this) #10
Answer:
OH OKK NICE TELLING ME
Step-by-step explanation:
PLz help I will give brainliest!!!!! and extra points
Hey there!
The answer to your question is [tex]95.55[/tex]
Formulas:
Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]
Area of rectangle = [tex]lw[/tex]
Area of triangle = [tex]\frac{bh}{2}[/tex]
Now solve:
semi-circle
[tex]\frac{1}{2}\pi3^2[/tex]
[tex]\frac{1}{2}\pi9[/tex]
[tex]4.5\pi[/tex]
(We will use 3.14 as approx. for pi)
[tex]4.5 * 3.14\\23.55[/tex]
rectangle
[tex]10(6)\\60[/tex]
triangle
[tex]\frac{4(6)}{2}[/tex]
[tex]\frac{24}{2} \\12[/tex]
Now add them all together:
[tex]23.55+60+12\\95.55[/tex]
Have a terrificly amazing day!
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
PLEASE HELP THIS IS DUE TODAY!!
Answer:
254 in
Step-by-step explanation:
1 yard = 36 in
7 yards = 36 (7)
7 yards = 252
add 2
254 in
:)
Answer: 254 inches
Step-by-step explanation:
1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches
peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?
5/7 = 35 kg
1/7 = 7 kg
Peter weighs 49 kg
49 - 8 = 41 kg
Ailen weighs 41 kg
49 + 41 = 90kg
Their total weight is 90 kg
The movie club is having a new member sale, so Mindy signs up. The equation -0.4x + 0.05y - 1.25 = 0 relates y, the total cost, and x, the number of months. What is the y-intercept of the line represented by the equation?
Answer:
Y intercept : ( 0 , 25 )
Step-by-step explanation:
Answer:
(0, 25)Step-by-step explanation:
We need to convert function to slope-intrcept form y=mx+b, where:
-0.4x + 0.05y - 1.25 = 0 {multiply both sides by 20}
-8x + y - 25 = 0 {add (8x+25) to both sides}
y = 8x + 25 ⇒ b = 25
Therefore y-intercept of the line is (0, 25)
Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!
Answer:
Step-by-step explanation:
LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)
Divide by Numerator and Denominator by Cos9°
LHS = (1 + Tan9°) / (1 - Tan9°)
= (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)
= Tan (45°+9°)
= Tan 54°
= Cot 36°
hope it helps :)
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
Finding which number supports the idea that the rational numbers are dense in the real numbers?
Answer:
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
PLEASE HELP ASAP Will MAKE BRAINLIST
Answer:
The second answer is correct
Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1
Answer:
[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]
Step-by-step explanation:
[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]
Lets take the L.C.M of 7 & 9.
L.C.M of 7 & 9 = 63
[tex] = > \frac{9x - 7x}{63} = - 1[/tex]
[tex] = > \frac{2x}{ 63} = - 1[/tex]
Now lets multiply 63 on both the sides.
[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]
[tex] = > 2x = - 63[/tex]
Now lets divide both the sides by 2.
[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]
[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°
HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.
Answer:
Volume is 285
Step-by-step explanation:
We start by calculating the area of the base
Mathematically, we have a rectangle as the base
So, the area of the base will be;
3.75 * 8 = 30
We now multiply this by the height to get the volume
we have this as:
30 * 9.5 = 285
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.
Equation: y=
Answer:
step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.
step 2. parallel lines have the same slope so the slope is -4.
step 3. y - (-5) = -4(x - (-4)).
step 4. y + 5 = -4x - 16.
step 5. y = -4x - 21.
6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]
= 2025 + 1225 - 3150 (0)
= 3250
x = [tex]\sqrt{3250}[/tex]
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
Select all that apply.
Which of the following are proportions?
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
Sara buys a sweater at a department store. The sweater costs $3030. The store is having a 2525% off sale on everything in the store.
Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.
Answer:
25% of 3030 is 757.5, so basically she is saving 757.5 dollars
Solve for x, please!
Answer:
45
Step-by-step explanation:
Answer:
30 + 70 + 2x-10=180
90+2x=180
2x=180-90
x=90/2
x=45
X=45
Hope it helps
On Robert’s shelf are 6 mystery books, 2 science fiction books, 3 adventure books, & 4 history books. Robert will randomly choose 1 book to read, not put it back and then grab another book to read. What is the probability that he chooses an adventure book and then a history book?
Answer:
2/35
Step-by-step explanation:
total of 15 books
P(Adv,Hist) = 3/15 · 4/14 = 1/5 · 2/7 = 2/35
What is the missing value of 5x-2y=30 (8,)
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
What is the slope of the line?
Answer:
2
Step-by-step explanation:
from (0,1) to (1,3)
is up 2 over 1
2/1=2
hope this helps!
PLEASE HELP IN ALGEBRA, LAST QUESTION!!
Step by step explanation:
Question 1:
Let's simplify step-by-step.
−3x2+6x+5x2−2
=−3x2+6x+5x2+−2
Combine Like Terms:
=−3x2+6x+5x2+−2
=(−3x2+5x2)+(6x)+(−2)
=2x2+6x+−2
Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0
Answer:
+3,+4,+5,+6,-20
Step-by-step explanation:
its:
2+3=5
5+4=9
9+5=14
14+6=20
20- 20=0
i believe so
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°Solve the following:
4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2
Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)
Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)