Answer:
1/3
Step-by-step explanation:
To get the scale factor , we have to divide the lengths of the similar sides on both shapes
What we have to do here is to divide the left length of each
we have this as 6/18 since they both represent the length
we have this as 1/3
Please tell what's the answer and also mention the steps to get the answer.
Answer:
Hope it helps
Option (C) is correct answer
what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem
1. Giles thinks that -5x²(3x - 4) simplifies to 15x² + 20x². Explain what mistakes he made. What is the
correct answer?
Answer:
The mistake was minus sign before the 15 and putting 15x² instead of 15x³.
The correct answer is:
[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]
pls help asap whats the local min value of the function below?
Answer:
given function has 2 minimums - [tex]\frac{9}{4}[/tex] and [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Step 1. g'(x) = 4x³ - 10x
Step 2. Find find the critical points:
4x³ - 10x = 2x(2x² - 5) = 0
[tex]x_{1}[/tex] = - [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]x_{2}[/tex] = 0 , [tex]x_{3}[/tex] = [tex]\sqrt{\frac{5}{2} }[/tex]
Step 3. g'(x) > 0 : - [tex]\sqrt{\frac{5}{2} }[/tex] < x < 0 or x > [tex]\sqrt{\frac{5}{2} }[/tex]
g'(x) < 0 : x < - [tex]\sqrt{\frac{5}{2} }[/tex] or 0 < x < [tex]\sqrt{\frac{5}{2} }[/tex]
Step 4.
If x ∈ ( - ∞ , - [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;
If x = - [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;
If x ∈ ( - [tex]\sqrt{\frac{5}{2} }[/tex] , 0 ) , g(x) is increasing ;
If x = 0 , g(x) has maximum value ;
If x ∈ ( 0 , [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;
If x = [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;
If x ∈ ( [tex]\sqrt{\frac{5}{2} }[/tex] , ∞ ) , g(x) is increasing .
⇒ at ( - [tex]\sqrt{\frac{5}{2} }[/tex] , - [tex]\frac{9}{4}[/tex] ) and at ( [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]\frac{9}{4}[/tex] ) , g(x) reaches its minimum
If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?
Answer:
1050 people
Step-by-step explanation:
if there are x people at a conference
then 40% of x = 420
40% can be written as 40/100 --> 4/10 --> 2/5
2/5 * x = 420
x = 420 * 5/2
x = 1050
A rectangle has a width of 4.9 cm and an area of 81.9 cm².
Which of the following is closest in value to the height of the rectangle? Circle your answer.
16 cm
20 cm
8 cm
25 cm
A birdwatcher on a cliff saw an eagle 8 meters below him. Earlier, he had spotted the eagle 9 meters below him. What is the difference from earlier to now? ___ meter(s)
Answer:
1 meter
Step-by-step explanation:
Previous spot of the eagle = 9 meters below him
Present spot of the eagle = 8 meters below him
What is the difference from earlier to now?
Diffetence in the spotting = Earlier position - present position
= 9 meters - 8 meters
= 1 meter
Someone please help out
Answer:
Option D
Step-by-step explanation:
Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.
Instructions : Find EX if JX = 17 plz help I don’t understand
Answer:
EX = 51
Step-by-step explanation:
The 3 intersecting lines in the triangle are medians.
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is
EJ = 2 JX = 2 × 17 = 34 , then
EX = EJ + JX = 34 + 17 = 51
Based on this data, are "being in high school" and "GPA above 3.0" independent events? Yes, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) Yes, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0)
Answer:
No, P(high school | GPA above 3.0) ≠ P(high school)
Step-by-step explanation:
Given
See attachment for table
Required
Determine if High school and GPA above 3.0 are independent
Let
[tex]H \to[/tex] High school
[tex]G \to[/tex] GPA above 3.0
For both events to be independent, the following must be true
[tex]P(H\ |\ G) = P(H)[/tex]
From the table:
[tex]P(H) = \frac{H}{Total}[/tex]
[tex]P(H) = \frac{60}{100} = 0.60[/tex]
[tex]P(H | G) = \frac{H\ n\ G}{G}[/tex]
[tex]P(H | G) = \frac{14}{40} = 0.35[/tex]
The test for independence is as follows:
[tex]P(H\ |\ G) = P(H)[/tex]
By comparison
[tex]P(H\ |\ G) \ne P(H)[/tex]
i.e.
[tex]0.35 \ne 0.60[/tex]
Hence, both events are not independent
Help anyone can help me do this question,I will mark brainlest.
Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
3. For this problem I'm going to use the formula Area = π × r²
To start off, I'm going to input our value of radius which is 4cm.
π × 4²
Finally, I'm going to square our value "4"
16π cm²
(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²
4. For this problem I'm going to use the formula Area = π × (d/2)²
To begin, I will divide our diameter by 2 to find the radius.
17.5/2 = 8.75
Next, we are going to square our now, radius.
8.75² = 76.5625
Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)
76.5625 × 22/7 = 240.625 cm²
So! This is our final answer!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
reduce
0.1 x squared - 8.1 x + 8 = 0 to
2x squared - x + 80 = 0
Answer:
x = 8
x = -10
Step-by-step explanation:
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
one
Step-by-step explanation:
If two lines are not parallel, they will intersect one time as shown by the graph given.
Where the two graphs intersect is the solution to the system.
WILL GIVE BRAINLIEST IF UR RIGHT!
Find g(x), where g(x) is the translation 6 units up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x)=x^2+6[/tex]
Step-by-step explanation:
Hi there!
We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.
This means that [tex]g(x)=f(x)+6[/tex].
[tex]g(x)=f(x)+6[/tex]
Rewrite the equation
[tex]g(x)=x^2+6[/tex]
This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.
I hope this helps!
Which best describes the incenter of a triangle?
O A. The point where the three altitudes of the triangle intersect
O B. The point where the three medians of the triangle intersect
O C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D. The point where the three angle bisectors of the triangle intersect
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
Please help, I need the answer by tomorrow!
Answer:
6, 5, 4
Step-by-step explanation:
Midpoint is exactly half so it would be half the value of triangle ABC's value
12/2=6
10/2=5
8/2=4
Explain why y +1 = 1.2(x+2) and y-5= 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
You can manipulate both equations into y = mx + b format and end up with the same result of y = 1.2x + 1.4
Step-by-step explanation:
y + 1 = 1.2(x + 2)
y = 1.2x + 2.4 - 1
y = 1.2x + 1.4
y - 5 = 1.2(x - 3)
y = 1.2x - 3.6 + 5
y = 1.2x + 1.4
So essentially, they're the same equation but in different forms.
Please help me find the area of this figure
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
6.
These triangles ARE similar! Which reason proves it?
Р
10
U
T
Circle one:
AAN
SSS
SAS
9
12
8
6
SHOW CALCULATIONS to verify they are similar!
R
s
15
Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
Answer:
7.2
Step-by-step explanation:
5y = 5 *7.2 = 36
36 ÷ 6 = 6
So, y = 7.2
WILL GIVE BRAINLIEST IF RIGHT!!
determine which of the following statements is true
respond with true or false
right angle has 2 complementary angles
Answer:
True
Step-by-step explanation:
Two angles form a pair of complementary angles
Find the value of x.
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
How many tacos could you buy with your money? If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
You can buy 40 tacos
You have enough money
Step-by-step explanation:
Given
[tex]Amount = \$20[/tex]
[tex]Taco = 20[/tex]
[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question
Required
Determine if you have enough amount
The number of Tacos that $20 can afford is calculated as:
[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]
So, we have:
[tex]Tacos = \frac{20}{0.50}[/tex]
[tex]Tacos = 40[/tex]
[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students
Hence, you have enough money
HURRY QUICKLY PLEASE William measures the length of three sides of a building. Place the lengths in order from greatest to least.
0.096 kilometers
2,100 cm
104 meters
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600
2100 cm
104m = 10400 cm
10400, 9600, 2100
104m, 0.096km, 2100cm
Answered by Gauthmath
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600cm
2100cm
104m = 10400cm
10400, 9600, 2100
104m, 0.096km, 2100cm
hello, help needed...again. 35 points !!! please show work for both. thank you:)) due today.
Answer:
16 direct
17 indirect
Step-by-step explanation:
16.
If it is a direct variation
y/x = constant
4/-2 -2
-8/4 = -2
-12/6 = -2
This is a direct variation
17.
y/x = -1/2 /-2 = 1/4
y/x = -1/-1 = 1
This is not a direct variation
If it is an indirect variation then
yx = constant
-1/2 * -2 = 1
-1*-1 =1
3 * 1/3 =1
This is an indirect variation
i will make you brainliest pls help me
1) 8
2) 6(5x+2y) factor out greatest common factor
3) 10.8 just move over decimal two places to the left.
4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.
Need help ASAp plz and thank you
Answer:
pls use calculater
Step-by-step explanation:
because i also dont know now what shall i do so its a good suggestion for you i hope
Does the table represent a function? Why or why not?
Three red balls, 5 green balls and a number of blue balls are put together in a sac. One ball is picked at random from the sac. If the probability of picking a red ball is 1|6, find the a) The number of blue balls in sac. B) the probability of picking a green ball.
Answer:
a) 10 blue balls, b) 5/18
Step-by-step explanation:
a)
R=3, G=5, B=x (unknown)
probability of picking red = 1/6 and red = 3 so total = 3(6) = total is 18
3+5 = 8 so B=18-8 -> B=10
b) total is 18 and G=5 so green probability = 5/18
Enter the equation of the line in slope-intercept form.
Slope is 4, and (1,3) is on the line.
The equation of the line is y =
Answer:
y = 4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point in and solve for b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 =b
y = 4x-1
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b
y = 4x + b
3 = 4(1) + b
3 = 4 + b
b = -1
y = 4x - 1
