#You times it with ×100 to get the percentage
#Part of the number/total number
2400 - 2100 = 300
300/2400 × 100 = 12.5%
So the percentage decreased is 12.5%
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
Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Show your work when calculating the discriminant for full credit. Then answer all four questions in the box. (6 points)
a^2-5a=6
Answer:
6
Step-by-step explanation:
What is the meaning of ‘!’ In math and how do I use it?
In math, the '!' sign are used in factorial. Factorial is multiplications on numbers itself and with another numbers that less than the number itself. Example :
5! =5x4x3x2x1 or nx(n-1)x(n-2)...2x1
1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to show Mike's age and Kellie's age in different years. compete the table to show Mike's age and Kellie's age in different years.
The table be like
Mike age kellie age
10 14
15 19
20 24
25 29
Calculation of the ages:Since Mike's sister, Kellie, is 4 years older than he is
And, Let m be Mike's age and let k be Kellie's age.
So here the equation be like
k = m + 4
Based on this we can compute the ages and fill the table
learn more about table here: https://brainly.com/question/16299322
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
Find the real solutions to the nearest hundredth.
Answer:
14: x=-3.00 15: x=-0.41
Step-by-step explanation:
(x+5)^4=16
x+5=16^(1/4)
x+5=2
x=-3
(x-2)^3=-14
x-2=(-14)^(1/3)
x-2=-2.41
x=-0.41
How do I find the missing side length for 30 - 60 - 90 method as a radical in simplest form?
Answer:
Step-by-step explanation:
see the image below
Step-by-step explanation:
The side that is adjacent to 60 degree and 90 degree is the shortest side.
If u know the hypoutnese you can divide it by 2 to find the shortest side. for example if the hypotenuse is 10 then the shortest side is 5
If you know the other leg you can simply just remove the entire radical and just keep the whole number to find the length of the shortest side.
The side that his the adjacent to the 30 degree and 90 degree angle is the second longest side of the triangle.
If u know the shortest side, just multiply the radical
[tex] \sqrt{3} [/tex]
to the whole number.
If you know the hypotunese, divide the hypotenuse by 2 and then multiply the radical to find the length of the second shortest side
Finally, the hypotunese is the largest side. It is the slanted side length that is adjacent to the 30 and 60 triangle.
If you know the shortest side, just multiply the side length by 2 to get the hypotenuse.
If you know the other leg, remove the radical and keep the who the number and multiply the whole number by 2.
E.x if the second longest side length is
[tex]5 \sqrt{3} [/tex]
Remove the radical so it becomes
[tex]5[/tex]
then multiply it by two to find the hypotunese.
[tex]5 \times 2 = 10[/tex]
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:
Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36
Answer:
c on edge
Step-by-step explanation:
just took the quiz
The equation representing the circle A is (x – 4)² + (y + 5)² = 36.
What is circle?A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.
The general equation of circle is given by equation
( x - h )² + ( y - k )² = r²
Where, ( h, k ) is the centre and 'r' is the radius.
As, the circle has a shift of 4 units on the +x axis.
The circle has a shift of the 5 units on the -y axis.
As, the circle has a radius of 6 units from the graph.
So, (h,k) = (4, -5).
Substitute the values of (h,k) in the general equation of the circle.
( x - 4 )² + ( y - (-5) )² = 6²
( x - 4 )² + ( y + 5 )² = 36
Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.
To know more about the general form of equation of circle, here
https://brainly.com/question/1506955
#SPJ2
if m=4,then what two numbers can m equal?
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).
Need help please hurry
9514 1404 393
Answer:
x = 20°
Step-by-step explanation:
For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.
110° = 2x + 70°
40° = 2x
20° = x
_____
Similarly, ...
y = x + 70° = 20° +70°
y = 90°
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:
3x - 6 less than or equal to -3 on a graph
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
Factor.
3y^2 + 5y - 2
If you can, please give me an explanation, I'm confused about how to do this.
(Example of how the answer would look like: (5x+3)(x+1))
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!
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
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.
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
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
I need help please will mark you as brainliest
Answer:
178 correct problems
Step-by-step explanation:
turn the percentage into a decimal (0.89) and multiply it by the number of questions
Answer: 178
Step-by-step explanation:
89% x 200. Change percent to decimal by moving the decimal to the left two places.
.89 x 200 = 178
HELP PLEASE ANYONE I’m so lost
Answer:
x =4
Step-by-step explanation:
so pretty much you're give the values for theta and phi, so all you have to do is insert the values in their corresponding position and simplify it. After the simplification process, the answer should be no less or more than 4.
Answer:
the answer is 4
Step-by-step explanation:
by simplification;
=》
[tex] \frac{a + b}{a - b} [/tex]
** putting the value of a and b :-
=》
[tex] \frac{5 + 3}{5 - 3} [/tex]
=》
[tex] \frac{8}{2} [/tex]
=》
[tex]4[/tex]
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
What is the square root of -1
A. -i
B. i
C. -1
D.1
Answer:
its i
Step-by-step explanation:
Square root of the positive value of 1 is either a positive value of 1 or negative value of 1.1 x 1 = 1 and -1 x -1 = 1.
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°
Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)
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 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
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]