Answer:
Option (1).
Step-by-step explanation:
Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.
If triangle one is dilated to form triangle two, then the ratio of the sides will be
Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]
= [tex]\frac{3.6}{3}[/tex]
Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]
Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.
Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]
Option (1) will be the answer.
Answer:
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Which inequality can you use to find the number of cups of yogurt Monica can buy?
Answer:
1.20x + 2.5 ≤ 20
Step-by-step explanation:
This would be the best inequality to use.
How much Cups She Can Buy
x is the ammount of cups so we will solve for x
Subtract 2.5 from both sides
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Divide both sides by 1.20
1.20x/1.20 ≤ 17.5/1.20
x ≤ 14.5833...
She can buy 14 cups
Step-by-step explanation:
Step 1: Make an equation
20 ≥ 2.50 + 1.20x ← Best inequality
Step 2: Subtract 2.50 from both sides
20 - 2.50 ≥ 2.50 - 2.50 + 1.20x
17.5 ≥ 1.20x
Step 3: Divide both sides by 1.20
17.5 / 1.20 ≥ 1.20x / 1.20
14.583... ≥ x
Answer: The max amount of full yogurts that she can buy is 14
Do question 9 for 18 points.
Answer:
yes
no
yes
yes
no
no
yes
no
yes
yes
sry if I am wrong
A craft project requires 5/6 yard of ribbon to make 4 refrigerator magnets. How many inches of ribbon are needed for each magnet?
Answer:
30 inches/4=7.5 inches
Step-by-step explanation:
Answer:
7.5 inches
Step-by-step explanation:
Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches
Which equation represents the circle shown?
Answer:
A. i think
Step-by-step explanation:
because it can't be E. (there is no 3 in-between the circle) And it can't be D. Because there isn't a 16 inbetween the circle and plus etc! and it could be C. also, because it is 4 and 4 is in-between the circle but, the difference between the answer A and C is the plus sign or the minus sign so let's think about that, it could be A or C............A. says (x-3)2 + (y-3)2=4 that seems correct and C. says (x+3)2 + (y+3)2 = 4.......we do not add in this case so it is definitely A. :)
Answer:
(x − 3)2 + (y − 3)2 = 4
Step-by-step explanation:
Please help me now plz
Answer:
[tex]\frac{4}{3} \\1.333333[/tex]
Step-by-step explanation:
Help Please! Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “ring road” that allows traffic to bypass the old streets. The figure shows a circular ring road and two roads that provide access to the old city. Find mCBD. FULL QUESTION IN PICTURE
Answer:
CBD = 82°
Step-by-step explanation:
From the chords relations in a circle, we have that when two chords intersects, we have the following angles:
CBF = DBE = (1/2) * (arc(CF) + arc(DE))
CBD = FBE = (1/2) * (arc(CD) + arc(EF))
So, using the second equation to find the value of the angle CBD, we have that:
CBD = (1/2) * (100 + 64)
CBD = (1/2) * 164
CBD = 82°
Solve the quadratic equation. x2+2x−8=0
Answer:
x=2 x=-4
Step-by-step explanation:
x2+2x−8=0
Step 1: Factor left side of equation.
(x−2)(x+4)=0
Step 2: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
Answer:
x=2 or x=−4
Answer:
x=2 or x=-4
Step-by-step explanation:
ax^2+bx+c=0
when solving this equation you should find two numbers that if we multiply them we get c and when we subtract them we get b so in this equation we get 2 and -4
Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the
original pyramid?
Answer:
27:1
Step-by-step explanation:
If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.
Volume of Pyramid = [tex]\frac{length * width * height}{3}[/tex]
Volume Pyramid 1 = [tex]\frac{3*3*3}{3}[/tex] = 9
Volume Pyramid 2 = [tex]\frac{9 * 9 * 9}{3}[/tex] = 243
243/9 = 27/1 or 27:1
Answer:
The new volume is 27 times the original volume.
Edgenuty
Which expression equals 9 cubed square root 10
Answer:
B
Step-by-step explanation:
Domain and Range for the graph please
Answer:
Domain: 0 ≤ x ≤ 5
Range: 4 ≤ y ≤ -1
Step-by-step explanation:
Since the graph is not infinite and ends in two points, the domain and range are also not infinite where there is a range of numbers that the domain and range of the graph fall into. Hope this helps!!
A circle has a radius of 9. An arc in this circle has a central angle of 120°.
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for 1 and enter your answer as a decimal.
120
9
Answer:
6pi or 18.84
Step-by-step explanation:
120/360 times 2 pi 9
120/360 = 1/3
2 times 9 = 18
18 times 1/3 equals 6
4 + (-6) =
-6 +(-5)=
Answer:
4 + (-6) = -2
-6 +(-5)=-11
Step-by-step explanation:
4 + (-6) = 4-6=-2
-6 +(-5)= -6-5 = -11
what is the answer to this
Answer:
5 over 4x
i used photomath so it should be right
whats the angle measure: cos B= 0.5299
HELP!! Deadline is this afternoon!!!
Find the area of a circle with diameter 18in . Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
254.34[tex]inches^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi*radius^2[/tex]
The radius is the length from the side to the centre.
Pi=3.14
In order to work out the area you would first need to work out the radius. You can do this by dividing the diameter of 18 by 2, this gives you 9. This is because the radius is half of the diameter.
Now that we have worked out the radius the next step is to work out the area. You can do this by multiplying pi by the radius of 9 squared, this gives you 254.34 inches squared.
1) Divide 18 by 2.
[tex]18/2=9inches[/tex]
2) Multiply pi by 9 squared.
[tex]\pi*9^2=254.34inches^2[/tex]
Please help me with this question!!
Find angle x and y.
Answer:
x= 100º
y= 260º
Step-by-step explanation:
x= 180º-42º-38º
x= 100º
y= 360º-100º
y=260º
(I'm not sure if it's right, but I hope I helped :) )
Answer:
x =80°
y = 280°
Step-by-step explanation:
Given: [tex] AB \parallel CD[/tex]
Extend segment CE in the direction of E in such a way that it intersects ray AB at point say P.
[tex]\therefore m\angle APE = m\angle ECD..(Alternate\: \angle s)\\
\because m\angle ECD = 42°\\
\therefore m\angle APE = 42°\\[/tex]
So, x° would be the exterior angle of [tex] \triangle AEP.[/tex]
Hence, by remote interior angle theorem of a triangle, we have:
[tex]x = 38° + 42°\\
\huge\purple{\boxed{x = 80° }}\\\\
y = 360\degree - 80\degree\\
\huge\red{\boxed{y= 280\degree}}[/tex]
A, B & C form a triangle where BAC = 90° . AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.
Answer:
BC ≈ 10.4 mm(1 decimal)
Step-by-step explanation:
The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.
AC = opposite side = 7.4 mm
AB = adjacent side = 7.3 mm
BC = hypotenuse = ?
Using pythagoras theorem we can find the longest side which is the hypotenuse
c² = a² + b²(pythagoras formular)
where
c = hypotenuse side
BC² = 7.4² + 7.3²
BC² = 54.76 + 53.29
BC² = 108.05
square root both sides
BC = √108.05
BC = 10.3947101931
BC ≈ 10.4 mm(1 decimal place)
a third degree binomial with a constant term of 8
Answer:
x^3+8
The polynomial given may be: x^3 + 8. One choice
Step-by-step explanation:
The polynomial given may be: x^3 + 8. One choice
x^3+8
Answer is above
Hope this helps.
I know this is like the 700th question I've asked
Answer:
BC = 15
Step-by-step explanation:
Because of parallel lines, AD and BE, triangles ADC and BEC are similar.
In similar triangles, the lengths of corresponding sides are proportional.
AC/BC = DC/EC
We see that AC = AB + BC = 3 + BC
Also, DC = DE + EC = 2 + 10 = 12
(3 + BC)/BC = 12/10
(3 + BC)/BC = 6/5
Cross multiply.
5(3 + BC) = 6BC
15 + 5BC = 6BC
15 = BC
BC = 15
correct answers only!
To the nearest cent, how much will she have in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$13,260
Step-by-step explanation:
B = 3000(1 + 0.14)t = 3(1.14)t
Plugging in 3 for t, we get B = 3000 * 1.14 * 3 = 10,260. This is just the interest though. We still have to add back the original $3,000, and when we do so, we get 3000 + 10260 = $13,260. Hope this helps!
Answer:
4444.63
Step-by-step explanation:
B = 3000(1 +0.14)^3
B = 3000(1.14)^3
B =4444.632 or 4444.63
E
13
12
D 5
F
cos(F)
Check
sin(F) =
Check
tan(F) =
Answer:
see explanation
Step-by-step explanation:
cos F = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FD}{EF}[/tex] = [tex]\frac{5}{13}[/tex]
sin F = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ED}{EF}[/tex] = [tex]\frac{12}{13}[/tex]
tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{ED}{FD}[/tex] = [tex]\frac{12}{5}[/tex]
x/a+x/b=1
make x the subject of the formular
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{a}[/tex] + [tex]\frac{x}{b}[/tex] = 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x = [tex]\frac{ab}{b+a}[/tex]
Brianna went to the store to buy some clothes. She bought 9 pairs of pants at $20 per pair of pants, and 11 shirts that cost $15 each. Which of the following is a good estimation of how much money Brianna spent at the store?
Answer:
$345 : whichever is closest
Step-by-step explanation:
Pants were $20 each and she bought 9 of them so multiply:
9x20=180
She paid $180 for 9 pants.
Shirts cost $15 each and she bought 11 of them so Mulitply:
15x11=165
She paid $165 for 11 shirts
Add both totals from pants and shirts
165+180=$345
Answer: 350
Step-by-step explanation: I dont really now how but 345 is close to 350 and my learning app says so.I'M really bad at math but if get this questoin an Modymax than the awsnser is 350.
Calcula la distancia "d" que debe recorrer un obrero para llegar hasta el punto mas alto de la rampa si dicha rampa mide 25 metros de base y tiene un angulo de inclinación de 21º en la subida y 28º en la bajada
Answer:
Step-by-step explanation:
hey guys, can someone pls help me with the questions marked in red!!! will give brainliest!!!
Answer:
For y=x-3. (0,2) the equation is y=x+2
For y=3-x. (0,2) the equation is y=2-x
For y=3x+1. (0,3) the equation is y=3x+3
For y=-1/2x+4. (0,1) the equation is y=-1/2x+1
Step-by-step explanation:
How I got my answers:
First rewrite the equation to the form y=mx+bm will be the gradient and a line parallel to another has the same gradient or m.b will be the y intercept.For y=x-3: the gradient is 1 because we do not have anything before x.
For the points given for example (0,2) x is zero and y-intercept is 2. same for the rest of the points.
Now you can write your equation in the form y=mx+b
where m is your gradient, and b is the y point. So you say y=1x+2 for the first one. Do the same for the rest. Remember 1x is the same as x so you can leave out 1.
You can comment if you did not understand my explanation because this explained how you can do it.
Simply by using order of operations 4+(9•2)+(4-1)-4
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
4+(9•2)+(4-1)-4
PEMDAS says parentheses first
4+(18)+(3)-4
Then add and subtract from left to right
22 +3-4
25 -4
21
A game is played using two spinners. Spinner A has four sections labelled 2, 4, 6, 8 and Spinner B has labelled 1, 3, 5. Players spin both spinners and add the numbers together. B) the game is used in a school to raise money for charity. Each player plays 20p to play the game. To win a lolly pop you have to score a 7 exactly, and each of these lolly pops costs the school 30p. How much should the school expect to raise if 120 kids play the game ?
Answer:
1500p
Step-by-step explanation:
The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:
4 * 3 = 12
From these 12 possible pair of values, the ones that give a sum of 7 are:
(6,1), (4,3) and (2,5).
We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%
To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:
120 * (0.25 * (-10) + 0.75 * (20)) = 1500p
You deposit $600 in a savings account. the account earn 4% simple interest per year.
Answer:
use some memes juice
Step-by-step explanation:
memes
Write an equation to represent the following statement.
The sum of j and 47 is 55
.
Answer:
j + 47 = 53
Step-by-step explanation:
Please help fast will give brainliest
Answer:
b
Step-by-step explanation: