(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?
answer can be.. YES or NO
Answer:
yes
Step-by-step explanation:
yes
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
reported heights at the school than the mean of the actual, measured heights at the school?
Number Reported height Measured Height Difference
Description
1
61
62
-1
Under reported
2
68
68
0
Accurately reported
3
57.5
56.5
1
Over reported
4
48.5
47
1.5
Over reported
07
75
72
3
Over reported
6
65
65
O
Accurately reported
7
80
78
2
Over reported
8
68
67
1
Over reported
9
69
69.5
-0.5
Under reported
10
63
62.5
0.5
Over reported
Answer:
0.75
Step-by-step explanation:
The table is not well presented (See Attachment)
There are at least two approaches to this question
Method 1:
Steps
1. Calculate the mean of reported heights
Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10
Mean of reported heights = 655/10
Mean of reported heights = 65.5
2. Calculate the mean of measured heights
Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10
Mean of measured heights = 647.5/10
Mean of measured heights = 64.75
3. Get their difference
Difference = Mean of reported heights - Mean of measured heights
Difference = 65.5 - 64.75
Difference = 0,75
Method 2: Calculate the mean of their difference
Mean of difference = Sum of difference / Number of observations
Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10
Mean of difference = 7.5/10
Mean of difference = 0.75
Note that in both cases, the result is 0,75.
Hence, the reported heights at the school is 0.75 greater than the actual measured height
It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75
If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? a.)(f + g)(x)≥3 for all values of x b.)(f + g)(x) ≤ 3 for all values of x c.)(f + g)(x) ≤ 6 for all values of x d.)(f + g)(x) ≥6 for all values of x
Answer:
Answer (a)
Step-by-step explanation:
(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.
Since |x| cannot be less than zero, the range of this composite function
(f + g)(x) = |x| + 3 is [3, infinity). That is, the smallest value is 3. This corresponds to Answer (a).
HELP ASAP PLEASE need help
Answer:
4.10
Step-by-step explanation:
Cos 35 = AC/5
AC = 4.096
to the nearest hundredth
AC= 4.10
Answer:
AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
The diameter of a cylinder is 10 feet. The height of the cylinder is 15 feet. What is the approximate volume of the cylinder rounded to the nearest cubic foot? Use 3.14 for π.
Answer:
1,178 cubic feet
Step-by-step explanation:
volume of cylinder is given by following formula
volume = [tex]\pi r^2l[/tex]
where r is the radius for cylinder and l is the height of cylinder.
____________________
given
diameter of cylinder = 10 feet
radius is half diameter
thus, radius = diameter/2 = 10/2 = 5 feet
height of the cylinder = 15 feet.
[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]
Thus, volume of cylinder is 1,177.5 cubic feet
volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.
What is the solution to the system of equations graphed below? (0, 4) (1, 3) (3, 1) (4, 0)
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines
it aint the ans but Atleast u can find it
Answer:
(-2, 4) and (4, -3)
Step-by-step explanation:
if it’s the one I think it is, then they intersect at 4 and -3 the other numbers are just background noise tbh bc this was the only choice with 4 and -3
Jamie spent
$196.76 on groceries this week. Of her total,
$16.15 was spent on taxes. What percentage of her total was spent on taxing?
The perpendicular line which of the following equations represents the line that passes through the point 1,-1
Answer:
The answer is the letter A
CAN SOMEONE PLEASE HELP The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey? *
20% of eighth-grade students preferred the seacoast
32% of seventh-grade students preferred the mountains
40% of students preferred the mountains
48% of students preferred the seacoast
Answer:
The true statement about the results of the survey is:
48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
chris wxamines under his microscope. he finds that it is a cube with each side length 6 millimeters draw one square face of the crystal on the grid below
Answer:
Step-by-step explana
tion:
Ratatouille
The system of equation y=3/4 and y=-x+3 According to the graph, what is the solution to this system of equations?
(4, -1)
(-1.4)
(4.1)
(1.4)
Answer:
a
Step-by-step explanation:
x = ??
a) 1
b) 3
c) 7
Answer:
X=3
Step-by-step explanation:
The graph shows the relationship between the volume of rectangular prism and the volume of a square pyramid with an identical base and height. What is the slope of the line?
O-3
O-1/3
O1/3
O 3
Answer:
3. Do Δy/Δx
Step-by-step explanation:
Do 10/3, which is an estimate. You get an answer of 3.3. Intuitively this makes sense because the slope is a constant positive value. And 1/3 is way too small of a number to describe the steepness shown
Or actually, do 3/1 because that would give the slope from x=0 to x=1. Since the slope is constant, that answer will apply for every single point on the function
Please answer need help
Answer:
B 2/ 1/2
Step-by-step explanation:
becuase it points into the middle of 2 and 3
and thats how got B
hope this helps
What is the approximate circumference of the circle shown below
If we’re doing the same homework, I’d say 129 cm? But I don’t know what the question is without a picture. Sorry!
Ram baked 946 cupcakes she sold them in a box of 22 for $16.50 a box how many boxes would she need to make at least $300?
Answer the questions for 9 points and brainliest
What is the median of the data
Answer:
40
Step-by-step explanation:
The median is the line in the middle of the box
40 is the median
Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE
Answer:
D) ΔDEF ≅ ΔGFE
Step-by-step explanation:
For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.
As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.
I hope this helps :))
ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.
Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of 90°)
EF = EF (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence ΔDEF ≅ ΔGFE are congruent by ASA.
Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Learn more about similar triangles here:
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BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.
We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]
Now, we can plug the values given into that equation:
[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]
Now, cross multiply:
18x = 8(x + 15)
Now, we can simplify this equation and solve for x, or AC.
18x = 8x + 120
Subtract 8x from both sides:
10x = 120
Divide both sides by 10:
x = 12
Hope this helps!
Answer:
AC: 12
Step-by-step explanation:
6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.
Answer:
The number of seats needed is:
1889Step-by-step explanation:
To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:
NS = x - yWhere:
NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.Replacing the equation with the values:
NS = 15,340 - 13,451 NS = 1,889Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find the
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Need Help ASAP will give brainliest!!!!
Answer:
Puppy' present weight = 2250 grams
Puppy last weight = 600 grams
Difference = 2250-600 = 1650
%age increase = (1650/600) x 100
= 275%
Help please! I appreciate all of you people helping me:))
Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles. What type of trianglr is created by the three cities?
Answer:
the triangle is an obtuse
Step-by-step explanation:
draw it out
Answer: Acute Triangle
Step-by-step explanation:
54 is the hypotenuse because it is the longest side.
Square all of the sides.
So
54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two on the right and they will be greater than 2916.
Because of that, you will have an acute triangle because 22^2+51^2>54^2
look at the picture, type at least two ways they are the same and different.
Answer:
Similar - They are both rectangles
Similar - They are both connected
Difference- One has yellow and one has white
Difference- Both are not at the same point?
Step-by-step explanation:
Brainliest appreciatedtype at least 2 ways they are the same and type 2 ways they are different.
Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.
Step-by-step explanation:
Can someone please help me ASAP
Answer:
A) 144 FT B) 300
Step-by-step explanation:
{ Area= L x W
Area= 12 x 12
Area= 144 }
{ 6x2=12
12x25= $300
What is the surface area of this shape? thank you :)
Answer:
105
Step-by-step explanation:
5x3=15
2x3=6
2x6=14+(4x1)=18
2x6=14+(4x1)=18
1x3=3
2x3=6
4x3=12
6x3=18
add all of them...
=105
if its right can u pls mark as brainliest?
The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².
What is rectangular prism?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface area of a rectangular prism is expressed as;
S.A = 2(lw + lh + wh)
Where l is length, w is width and h is height.
Given the data in the image;
For the first rectangular prism
Height h = 4cmLength l = 1cmWidth w = 3cmFor the second rectangular prism
Height h = 2cmLength l = 5cmWidth w = 3cmNow, surface area of the first rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)
S.A = 2( 3cm² + 4cm^2 + 12cm² )
S.A = 2 × 19cm²
S.A = 38cm²
Next, the surface area of the second rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)
S.A = 2( 15cm² + 10cm^2 + 6cm² )
S.A = 2 × 31cm²
S.A = 62cm²
Total surface area TSA = 38cm² + 62cm²
T.S.A = 100cm²
Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²
Learn more about area of prisms here: https://brainly.com/question/17351910
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A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated equally?
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically [tex]\frac{20}{3}[/tex] then simplify it into [tex]6\frac{2}{3}[/tex]