GEOMETRY PLEASE HELP!!!!!!!
If the triangle shown in the diagram is dilated by a scale factor of 1 / 2
What will be the area of the resulting triangle?
A) 1.5 units²
B) 3 units²
C) 6 units²
D) 12 units²
Answers
Answer:
1.5 units^2
A
Step-by-step explanation:
AB (the base) = 4 - 1 = 3
AC (the height) = 5 - 1 = 4
Area = 1/2 * b * h
Area = 1/2 * 4 * 3
Area = 6 units^2
Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.
So AB becomes 1.5
AC becomes 2
The area of the new triangle = 1/2 * 1.5 * 2 = 1.5
Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.
Related Questions
Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)
Answers
Answer:
[tex]f(x)=(x-1)^2-2[/tex]
Step-by-step explanation:
Equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]
Plug in both the given point and vertex to find the value of [tex]a[/tex]:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=a(x-1)^2-2[/tex]
[tex]14=a(5-1)^2-2[/tex]
[tex]14=a(4)^2-2[/tex]
[tex]14=16a-2[/tex]
[tex]16=16a[/tex]
[tex]1=a[/tex]
[tex]a=1[/tex]
Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]
See attached graph below for a visual of the function.
Find the exact value of tan A in simplest radical form
Answers
Answer:
tan A = 4 / 7
Step-by-step explanation:
tan A = opp side / adjacent side
tan A = 4 / 7
A construction worker wants to make a walkway out of concrete pads. Each pad will be
3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs
$125 per yd, how much will the concrete for the walkway cost (plus HST)? The
construction worker has been told only whole cubic yards of concrete can be purchased,
part yd cannot be purchased.
Answers
9514 1404 393
Answer:
$250 +HST (HST is undefined here)
Step-by-step explanation:
It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.
The walkway is 12 yards long and 1 yard wide, so will require 12 pads.
The total volume of concrete required for the walkway is ...
(12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³
Only whole cubic yards can be purchased, so 2 are needed.
The cost is ...
($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway
__
The HST rate is not given here, so we cannot compute the amount of added tax.
Which mathematical sentence most Accurately expresses the information in the problem below?
See Picture....
Answers
Answer:
Don't quote me on this but it's probably C. 12c ≥ 88
Step-by-step explanation:
This is because he packages 88 eggs into cartons of 12.
88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.
what does it mean if the pA group of participants were given a measure of positive mood after exposure to classical music and then again after exposure to country music. Researchers want to determine if there is a statistically significant difference in the mean test scores based on type of music. The most appropriate statistical test to see if the scores differ is a(n) value is greater than .001
Answers
Answer:
Repeated measures(dependent samples t-test).
Step-by-step explanation:
Repeated measures (dependent samples t-test ):-
(Repeated measures dependent sample t-test is a statistical test that is used to found A significant difference in the within-subject design when the same participants go through both the conditions and there are only two conditions. In this scenario there are only two conditions -classical music and country music and every participant is exposed to both making it a dependent sample as the score of one participant on country music corresponds to the score of his on classic music.
Since it has only two variables, ANOVA can't be performed as it is performed to compare the means of more than 2 variables).
Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50
Answers
Answer:
The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Step-by-step explanation:
Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:
5X + 7 x (X + 8.50) = 245.50
5X + 7X + 59.50 = 245.50
12X + 59.50 = 245.50
12X = 245.50 - 59.50
12X = 186
X = 186/12
X = 15.50
Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
I’ll mark brainliest
Answers
Answer:
A.) y = -7/4x - 7
Step-by-step explanation:
The line's slope is -7/4 and its y-intercept is located at the point (0, -7).
5th grade math. correct answer will be marked brainliest
Answers
Answer:
I put 6/9 even though i know its wrong
Step-by-step explanation:
1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?
Answers
Answer:
220.5 in³
Step-by-step explanation:
Volume = L×W×H
Volume = 10.5 in × 7 in × 3 in
Volume = 220.5 in³
Answer:
220.5CM ^3
Step-by-step explanation:
vOLUME = L*W*H
= 10.5*7*3
=220.5
What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)
Answers
I tried every combination. there seems to be something wrong with the informations you gave.
the second equation contains errors, and none of these 4 points can be solutions to the first equation alone
WILL MARK YOU IF YOU CAN HELP plz help me understand this to or add one of my socials to help me with geometry:(
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Answers
Answer:
17x + 2 = 16x+6
17x-16x= 6-2
x=4
Answer:
5.21212121
Step-by-step explanation:
The first thing to keep in mind is that a line is equal to 180. The first thing you sould start off by doing is write 17x+2+16x+6. Then to make it easier combine the like terms. Both combine 17x + 16x to get 33x, and 6 and 2 to get 8. Now the problem should be 33x + 8 = 180. Next we will take away 8 from both sides. This should eliminate 8 for us and give us 33x=180 as our next problem. Finally you will do the opposite of multiplying which is diving. 33 divided by itself gives us 0. So we will divide 172 by 33 to get 5.21212121.
YOU MAY PLUG THIS NUMBER BACK IN TO CHECK YOUR ANSWER.
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answers
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x
what additional piece of information do we need to prove that MLN ≅ OPN
Answers
Answer:
N is the midpoint of MO
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove [tex]MLN \cong OPN[/tex]
From the attachment, we already have:
[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]
The additional information that must be true for [tex]MLN \cong OPN[/tex] to be true is: N is the midpoint of MO
Because this piece of information proves that:
[tex]MN \simeq ON[/tex]
Which in other words makes [tex]MLN \cong OPN[/tex]
Give an example of a composite number written as a product of primes.
Choose the correct answer below.
A. 60 = 2 x 2 x 15 or 60 = 22 x 15
B. 41 = 1x41
C. 28 = 2x2x7 or 28 = 22x7
Answers
explanation: 28 is composite while 2 and 7 are prime numbers
Please help !!!!!!!!!!!!!!!!!
Answers
Help me out plssss thank u
Answers
x = 44°
Step-by-step explanation:
Since AB is a diameter,
arcAC + arcCB = 180
92° + arcCB = 180
or
arcCB = 88°
ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,
x = (1/2)arcCB
= 44°
Here is an inequality: -2x > 10
List 3 values for x that would make this inequality true.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
-6, -7, -8
[tex]\boxed{x<-5}[/tex]
»»————- ★ ————-««
Here’s why:
We first need to solve the inequality for 'x' using inverse operations.⸻⸻⸻⸻
[tex]\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x<-5}\\\\\text{The inequality sign is flipped because we divided by a negative value.}[/tex]
⸻⸻⸻⸻
Any number less than the value of -5 would be a solution to the given inequality. Some examples would be: -6, -7, -8, but as mentioned, you can pick any number less than -5.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
10 15 20
30
55
HI
Town B
5
20
30
40
55
H
0 5
10
15
20
45
50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median for town A, 30°, is less than the median for town B,
40°
B. The mean for town A, 20°, is less than the mean for town B, 30°
C. The median for town A, 20°, is less than the median for town B,
30°
O D. The median temperature for both towns is 30°.
Answers
Answer:
The answer is:
C. The median for town A, 20°, is less than the median for town B, 30°.
Step-by-step explanation:
Median is the middle (center) value.
Option (C) the median for town A, 20°, is less than the median for town B, 30°.
What is box plot?Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
The diagram shows the box plot of the daily low temperatures for a sample of days in two different towns.
From the box plot, the median of town A is 20° and the median of town B is 30°.
From the data,
⇒ [tex]20 < 30[/tex]
Hence we can conclude that option (C) the median for town A, 20°, is less than the median for town B, 30°.
Learn more about box plot here
https://brainly.com/question/12591498
#SPJ2
Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT
Answers
Answer:
The margin of error is of 20, option B.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between the bounds, divided by 2.
In this question:
Lower bound: 200
Upper bound: 240
Margin of error:
(240 - 200)/2 = 40/2 = 20
The margin of error is of 20, option B.
What is X? (I forget how to do this)
Answers
Answer:
180-35=145
x=145
*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.
x = 180 - 35
x = 145.
he monthly sales of furniture stores in Dubai were collected and summarized. The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively. The distribution of the monthly sales is
symmetrical.
none of the above.
positively skewed.
negatively skewed.
Answers
Given:
The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.
To find:
The distribution of the monthly sales.
Solution:
We know that,
For symmetrical distribution, mean is equal to median.
For positively skewed distribution, mean is greater than median.
For negatively skewed distribution, mean is less than median.
We have,
Mean of the monthly sales = 130,000 AED
Median of the monthly sales = 170,000 AED
Here, Mean is less than the median because 130,000 < 170,000.
Therefore, the distribution is negatively skewed. Hence, the correct option is D.
Evaluatef(x) = 2.5x-11 when x = 4
Answers
Answer:
-1
Step-by-step explanation:
f(4) = 2.5(4) -11
f(4) = 10 -11
f(4) = -1
Only answer if you're very good at Math.
Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = (x + 1)^2
C: ( g o f) (x) = x ^ 2 + x + 1
D: ( g o f) (x) = x^2 (x + 1)
Answers
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
Find the surface area of the prism.
Answers
Answer:
D
Step-by-step explanation:
Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2
Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft
LA= base perimeter x 24 = 36 x 24 = 864 ft^2
SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answers
Answer:
t think the answer is 1040.
.....................................:.
Answers
Answer:
..........................................................................................................................................................................
Answer:
um..BG should also be equal to 12 I guess
Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.
how many blue marbles are in the bag?
Select one:
6
30
15
20
Answers
Answer:
20 is it's right answer I think ok
Help me asap!!pleaseeee
Answers
Answer:
a
Step-by-step explanation:
yes
write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Answers
Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is y=-2x+7
Hope this helps!
There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?
Answers
Answer:
15
Step-by-step explanation:
He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6
