Answers
Answer:
D
Step-by-step explanation:
40 is in the same place for B and C, 83 is in the same place for A and C, and 57 is in the same place for A and B.
Triangle D is not similar to the other three triangle.
Similar triangle:Similar triangle may have different sizes but the shape. In similar triangles, corresponding sides are always in the same ratio. The corresponding angles are congruent.
Therefore, triangle A, B and C are similar triangle because the corresponding angles are equal. The angles are 40°, 83° and 57°.
The last triangle D has a different angles sizes which are 40°, 67° and 73°.
Therefore, triangle D is not similar to the other three triangle.
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Related Questions
Estimate the sum of 604 and 392
Answers
Answer:
996
Step-by-step explanation:
Although that's the exact answer
Last one and I’m done :’) help
Answers
Answer:
#1= 24.23
#2= 57.91
#3= 35.84
#4= 48.59
Step-by-step explanation:
soh cah toa
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan= opposite/adjacent
use inverse sin cos and tan to find angles!
Answer:
Example 1 tan-1(9/20)=24.23°
Example 2 cos-1(17/32)=57.91°
Example 3tan-1(13/18)=35.84°
Example 3 sin-1(21/28)=48.59°
Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 and -4
Answers
Polynomials are equations that uses variables and several terms
The polynomial in standard form is f(x) = x^2 - x -20
How to determine the polynomialThe polynomial has 2 zeros.
So, the form of the polynomial is:
f(x) = a(x - x1)(x - x2)
The zeros of the polynomial are 5 and -4.
So, the equation becomes
f(x) = a(x - 5)(x + 4)
The value of a = 1.
So, we have;
f(x) = 1(x - 5)(x + 4)
This gives
f(x) = (x - 5)(x + 4)
Expand
f(x) = x^2 - x -20
Hence, the polynomial in standard form is f(x) = x^2 - x -20
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Jackie is the owner of a restaurant.
She wants to buy 16 new tables for the restaurant.
• Each table costs £118.
• Jackie will also be charged 20% VAT on the cost of the tables.
Jackie has £2250 to buy the tables.
Is £2250 enough to buy the 16 tables?
Answers
Answer:
no she won't but my answer is an estimate
Step-by-step explanation:
16 X 118 is like 1900 and 20 percent of 1900 is like 380
1900 add 380 is 2280 not enough money.
what are the solutions to this polynominal when s(x)=0? S(X)= (3x^2+17x +10)(x-7)(4x-3)
Answers
Answer:
-5, -2/3, 7, 3/4
Step-by-step explanation:
The solutions of S(x) = 0 satisfy one of the equations:
3x^2 + 17x + 10 = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward to solve:
x = 7 and x = 3/4
We now factor 3x^2 + 17x + 10 = 0
Note 10 = 5 * 2, 3 = 3 * 1 and 3 * 5 + 2 - 17.
So, we can factor it as (3x + 2) (x + 5) = 0
Thus, we also have solutions -2/3, -5.
Write a degree 3 polynomial with solutions, x=3, x=1 and x=0. Be sure to include all you steps. Type or upload a picture of your work
Answers
1. Observe problem
Degree of three, so
(x-3)(x-1)(x)=
x^3-4x^2+3x
Which transformation changes triangle ABC to triangle A'B'C'? (1 point)
6
5
432
2.
1
X
1 2 3 4
5 6
-6 -5 -4 -3 -2 -1 0
- 1
-2
8
B
c
4
a
Rotation 90 degrees counterclockwise about the origin
Reflection about the y-axis followed by translation up by 8 units
ob
Ос
Reflection about the x-axis followed by translation left by 4 units
Od
Rotation 180 degrees counterclockwise direction about the origin
Answers
Rotation 90 degrees counterclockwise about the origin.
====================================================
Explanation:
Plot a point at the origin. Let's call it point D.
Form segments AD and A'D.
Use the slope formula to note that those segments have negative reciprocal slopes, which leads to the segments being perpendicular.
This proves we have a 90 degree rotation. The direction is counterclockwise when going from A to A'.
The same idea applies when going from B to B', and also C to C'.
The transformation that changes triangle ABC to triangle A'B'C' is a reflection of the y-axis followed by a translation up by 8 units.
Option B is the correct answer.
What is a reflection?There are two ways of translation.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
To determine the transformation that changes triangle ABC to triangle A'B'C', we need to find the transformation that maps each vertex of triangle ABC to the corresponding vertex of triangle A'B'C'.
To map A to A', we need to move 10 units to the right (from x = -5 to x = 5) and stay at the same y-coordinate (y = -6).
This is a horizontal translation of +10 units.
To map B to B', we need to move 1 unit to the left (from x = -3 to x = 2) and 1 unit up (from y = -2 to y = -3).
This is a horizontal translation of -1 units followed by a vertical translation of +1 units.
To map C to C', we need to move 2 units to the right (from x = -4 to x = 6), and 2 units up (from y = -6 to y = -4).
This is a horizontal translation of +10 units followed by a vertical translation of +2 units.
Therefore,
The transformation that changes triangle ABC to triangle A'B'C' is a reflection of the y-axis followed by a translation up by 8 units.
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Which of the following is a point where the graph
of the function f(x) = (2x + 5)2 intersects the
X-axis?
Answers
Answer:
-When (2×-5) intersects at ×-axis the value of × will be zero.
=>F(×)=× 0=2×-5
hence,
0,=2×-5
5=2×
=>×=5/2
Step-by-step explanation:
hpe it hlps
Using the net what is the total surface area of the shoe box below
Answers
Answer:
SA = 280 in²
Step-by-step explanation:
The net comprises:
2 rectangles with width 5 in and length 10 in2 rectangles with width 6 in and length 10 in2 rectangle with width 5 in and length 6 inTo calculate the surface area (SA), calculate the area of each rectangle and add them together.
Area of a rectangle = width x length
Therefore, SA of net = 2(5 x 10) + 2(6 x 10) + 2(5 x 6)
⇒ SA = 100 + 120 + 60
⇒ SA = 280 in²
janice has 27 feet of ribbon, How many more feet does she need to buy so that she will have 82 feet of ribbon
Answers
Answer:
55 feet
Step-by-step explanation:
This is a subtraction problem.
You need to find the difference between what Janice has (27feet) and what she would like to have (82feet)
82 - 27
= 55
Janice needs 55 feet of ribbon. This amount along with the 27 feet she already has will give her a total of 82 feet of ribbon.
55 + 27 = 82
The entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Answers
Answer:
Domain: [-2,5)
Range: (2,-2]
Step by step explanation:
a open circle , means a parenthesis. a close Circle means a bracket . the domain is X . The range is y . for the range you start from the top of the graph and go all the way to the bottom of the graph . then for the domain, you go from the beginning of the graph to the end of the graph, side to side. and that's how I got this answer
Please help me on this
Answers
Answer:
a) the x-coordinate changes sign
b) the y-coordinates are unchanged
c) this is a reflection across the y-axis
Step-by-step explanation:
a)Each image point is on the same horizontal line as the original. It is as far from the y-axis as the original, but in the opposite direction. Its x-coordinate has changed sign.
__
b)The y-coordinate is the same for each image point as for the original. The y-coordinates have not changed.
__
c)The line of reflection is the perpendicular bisector of the segment joining the original point and its image. In every case, that is the y-axis. The image is a reflection across the y-axis.
help me out please!!! 50 points!!!
Answers
Step-by-step explanation:
I assume they intersect at a right angle (90°).
then the intersection is a rectangle with one side being 12 m, and the diagonal being 13 m long.
the diagonal is the Hypotenuse (baseline) of a right-angled triangle with the length and the width of the rectangle as legs.
so, by using Pythagoras we have
diagonal² = length² + width²
13² = 12² + width²
169 = 144 + width²
25 = width²
width = 5 m
so, Oakdale Avenue is 5 m wide.
8. Look at the growing pattern below. How many squares will it
take to make the nth figure in this pattern?
Answers
Step-by-step explanation:
the first thing we notice is : there are always 2 "extra" squares (1 added to the bottom left, and 1 added to the top right).
and then we see that we have a "core" of n+1 squares that are added n-1 times.
e.g. for n=2 we get (2+1)(2-1) = 3×1 = 3 squares in the middle.
for n=3 we get (3+1)(3-1) = 4×2 = 8 squares in the middle.
just to verify for n=1 : that would be (1+1)(1-1) = 2×0 = 0. meaning no middle squares, which is correct.
so, the formula for n is
squares(n) = (n+1)(n-1) + 2 = n² - 1 + 2 = n² + 1
The number of squares that it takes to make the nth figure in this pattern will be n² + 1.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The growing pattern will be
⇒ (n+1)(n-1) + 2
⇒ n² - 1 + 2
⇒ n² + 1
Where n is the integer number.
More about the Algebra link is given below.
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According to the graph of H(w) below, what happens when w gets very large?
H(W)
(5.0, 20.00)
O A. H(w) equals zero.
O B. H(w) gets very small.
O C. Hw) moves left.
O D. H(w) approaches a vertical asymptote.
Answers
Answer:
B. H(w) gets very small.
Step-by-step explanation:
This should be the answer you're looking for
From the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
As we know, It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph shown in the picture.
From the graph:
H(w) represents the vertical axis or y-axis and w represents the horizontal axis or x-axis.
H(w) is decreasing as the w increasing
Thus, from the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.
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find the value of x ( SOLVE & SHOW YOUR WORK !!!!
Answers
Answer:
x = 70
Step-by-step explanation:
The Left base angle is also = x. that's because both angles are opposite = lines
x + x + 40 = 180 All triangles have 180 degrees.
2x + 40 = 180 Combine left angles. Subtract 40 from left and right sides.
2x+40 - 40 = 180 - 40 Combine
2x = 140 Divide by 2
2x/2 = 140/2
x = 70
Find the surface area of the net below.
Answers
Answer:
472 in²
Step-by-step explanation:
This net is made up of 3 identical rectangles and 2 identical triangles.
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Rectangle
width = 8 inlength = 19 inTriangle
base = 8 inheight = 2 inSurface Area
SA = 3(8 x 19) + 2(0.5 x 8 x 2)
⇒ SA = 456 + 16
⇒ SA = 472 in²
On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If four people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?
Answers
Answer:
100% for the conditions given.
Step-by-step explanation:
P(out) = .34 + .18 + .13= 0.65
This is the probability for going out. The 4th person is the one not going out. We are to assume that he wants to watch Monday Night Football or something like it
So the probability of not going out for 1 person is 0.35
You can justify this in two ways.
Either you can rely on the given (P(stay at home) = 0.35)
or you can take the probability of the 3 given who do go out and subtract it from certainty (or 1)
1 - 0.65 = 0.35
0.5n-3 (n-2)-n
Please help thank you.
Answers
Answer:
n + 6
Step-by-step explanation:
5n - 3 ( n - 2 ) - n
4n - 3 ( n -2 )
4n - 3n - 3 x (2)
4n - 3n - 3 x 2
4n - 3n + 6
n + 6
Find sinθ×cos^2θ when sinθ=14 and θ is in Quadrant I.
Answers
cosA:-
[tex]\\ \rm\longmapsto \sqrt{1-sin^2A}=\sqrt{1-(1/4)^2}=\sqrt{1-1/16}=\sqrt{15/16}=\dfrac{3\sqrt{5}}{4}[/tex]
In Q1 all are positiveNow
[tex]\\ \rm\longmapsto sinA+cos^2A[/tex]
[tex]\\ \rm\longmapsto 1/4+15/16[/tex]
[tex]\\ \rm\longmapsto 4+15/16=19/16[/tex]
There is a pair of parallel sides in the following shape.
4
9
10
What is the area of the shape?
Answers
The area of a shape is the amount of space on the shape
The area of the shape is 110 unit square
How to determine the area of the shapeFrom the complete question, the composite shape has:
A rectangle of 10 units by 9 unitsA triangle of base 10 units and a height of 4 unitsThe area of the rectangle is:
Area = 10 * 9 = 90 unit square
The area of the triangle is:
Area = 0.5 *10 * 4 = 20 unit square
So, the area of the figure is:
Total = 90 + 20
Total = 110 unit square
Hence, the area of the shape is 110 unit square
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Type your answer into the box.
Canberra to Melbourne is 670 km.
Round the trip to the nearest hundred kilometres.
km
Answers
The rule for rounding is 1-4 to the floor (round down) 5-9 climb the vine (round up)
So since the next digit was a 7 we rounded up to 700km.
Hope this helped
:D
HELP PLEASE WORTH 100 Points
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed Provide a description of the solution set (4 points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Answers
Answer:
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3
Help 20:00 minutes left help
Answers
Answer:
A
Step-by-step explanation:
[tex]7n + \frac{1}{5} [/tex]
[tex] \frac{35n + 1}{5} [/tex]
And
[tex] \frac{1}{5} + 7n[/tex]
[tex] \frac{1 + 35n}{5} [/tex]
Answer:
A, because they switched around the order of the expression but it still equals the same thing.
Step-by-step explanation:
find sin 0
a 8/15
b 15/8
c 15/7
d 8/17
Answers
Answer:
d
Step-by-step explanation:
Answer ASAP. What is the distance between (1, -4) and (1, 18)?
0 2 units
5 units
19 units
22 units
Answers
Answer:
22
Step-by-step explanation:
I used the distance formula
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
(1, -4), (1, 18)
To find the distance between the two points we need to plot them on a graph and then count how many units are between the two.
On the same y-axis
[tex]4+18=22[/tex]
"22 units" or the fourth option.
Hope this helps.
Y » Jason volunteered last month at two places: an animal shelter and the library. He spent 5 times as long volunteering at the animal shelter as he did at the library. 1) Pick the diagram that models the ratio in the story. shelter library shelter library 4) Last month, Jason volunteered 20 hours at the animal shelter. How many hours did he volunteer last month altogether? hours Submit
Answers
Answer:
24
Step-by-step explanation:
L = library
A = animal shelter
A = 5L
20 = 5L
20 ÷ 5 = 5L ÷ 5
4 = L(L = 4)
4 + 20 = 24
Last year at a certain high school, there were 124 boys on the honor roll and 125 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 20%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
22.5%
Step-by-step explanation:
Find new values:
124(1−0.25)=93
125(1−0.2)=100
Last Year: Boys 124 & Girls 125
This Year: Boys 93 & Girls 100
Total: Last Year 249 & This Year 193
249(1−r)=193
249(1−r)/249=193/249
1−r=0.7751
−r=−0.2249(Subtracted 1)
r=0.2249(Divided by -1)
Final Answer: 22.5%(Multiply by 100 and round to nearest 10th)
Kristin bought a pack of 12
pencils for $1.25. How
much was each pencil?
Answers
Jayla got in her car and started driving toward her grandmother's house. After driving for 2 hours and 5 minutes, Jayla took a break for 1 hour and 20 minutes to have a snack. Then Jayla drove 2 hours and 5 minutes and finally arrived at her grandmother's house at 12:45 P.M. What time did Jayla start driving?
Answers
Answer:
5 hours, and 30 minutes ago, which would be 7:15 AM
Step-by-step explanation:
add hours, then minutes, then subtract both times: 12:45 - 5:30 = 7:15