Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°
Answer:
Triangle 1: 90°, 20°
Triangle 2: 20°, 90°
Step-by-step explanation:
According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.
Find the total surface area of this square based
pyramid.
Answer:
125
Step-by-step explanation:
Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.
The base of the pyramid is a square of side-length 5, and its area is 5×5=25
The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.
The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125
Choose the number sentence that illustrates the distributive property of multiplication over addition.A. 3 × (4 + 7) = (3 × 4) + (3 × 7)B. 3 × (4 + 7) = (3 × 4) + 7C. 3 × (4 + 7) = (3 + 4) × (3 + 7) brainly
Answer:
Option A is the answer.
The answer of term 3 x (4 + 7) after applying distributive property of multiplication over addition is 3 x 4 + 3 x 7.
Hence, option (A) is correct.
What is distributive property?Distributive property explains to us how to solve expressions in the form of a(b + c).
After apply distributive property, this term converts as ab+ac.
The given term is,
3 x (4 + 7)
To find the answer, using distributive property of multiplication over addition,
Use distributive property,
According to property, expression a(b + c) changes as ab + ac after applying distributive property,
The term can be solved as,
3 x (4 + 7) = 3 x 4 + 3 x 7
Therefore, option (A) is correct option.
To know more about Distributive property on:
https://brainly.com/question/5637942
#SPJ3
Whích quadratic inequality does the graph below represent?
у
5
4
3
2
1
→
wa-
5-32
12
3
5
2
Answer:
The third option
Step-by-step explanation:
first, you can eliminate the 2nd and the 4th option because the vertex of the graph is located at -3, and not 3. The reason it is not the 1st option is, because of the greater than or equal to sign, this inequality actually shows the white area.
Therefore, leaving the 3rd option. The y-intercept is correct, it is -3. The sign is also correct, because on the axis of the quadratic, -3 is the highest possible y-intercept. So y has to be less than or equal to -3.
Hope this helps! :D
Which is an equation of a direct proportion?
A.y=1/3x−2
B.y=3/x
C.y=−3x+4
D.y=−3x
Step-by-step explanation:
As someone has thankfully answered your question. I'll just try to explain that concept to you.
In direct proportion, as the first variable increases or decreases, the second variable also increases or decreases. In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.
So yes the answer is D
y = -3x
Answer:
D
Step-by-step explanation:
y = -3x
find the area of the figure below. round your answer to the nearest tenth
Step-by-step explanation:
Area 1 = the rectangle
8×3=24cm²
Area 2= semi circle
3.14r² 314/100×4×4 = 50.24cm²
add. 24+50.24 = 74.24cm² ( 10th)
= 74.2what is y=2/3x-4 graphed
Answer:
Please see attached
Step-by-step explanation:
how many tiles 4 inches on a side should be used to cover a portion of a wall 56 in Long by 32 in high
On a coordinate plane, triangle 1 is reflected across the x-axis to form triangle 4, is reflected across a diagonal to form triangle 3, is reflected across the y-axis to form triangle 2. Use the figure to complete the statements. Triangle 1 is the image of triangle 2 reflected over the . Triangle 2 is the image of triangle 3 reflected over the . Reflecting triangle 4 over the y-axis results in triangle .
Answer: Triangle 1 is the image of triangle 2 reflected over the y-axis
Triangle 2 is the image of triangle 3 reflected over the x-axis.
Reflecting triangle 4 over the y-axis results in triangle 3.
Step-by-step explanation:
Triangle 1 is across from triangle 2. If you make the triangles bisect, they touch the y-axis.
Triangle 2 is above triangle 3. If you make the triangles bisect, they touch the x-axis.
If you "mirror" triangle 4 over the y-axis, you make the same shape then rotate it 90 degrees and put it the same distance from the y-axis.
I can't really explain it that good without touching the picture but its kinda just a mirror image.
You translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate is 90 degrees
Answer:
y-axis
x-axis
3
Step-by-step explanation:
In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects.pls detial properly
Answer:
Well, 80 x 62.5% is 50.
So, 65 + 50 is 115.
I think there is a mistake in the question
Well, It could not, but please check again TT
Step-by-step explanation:
HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?
R0, 90°
R0, 180°
Ro, 270°
RO, 360°
270 degree counterclockwise rotation around the origin
=============================================================
Check out the diagram below. In the diagram, I only focus on points A and A'.
We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation
The other points follow the same idea.
Answer:
c
Step-by-step explanation:
Please help ASAP
These box plots show the number of electoral votes won by the democratic and republican candidates for the elections 1984 through 2012
Answer:
A.
Step-by-step explanation:
The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.
367.5 - 181 = 186.5
356 - 170.5 = 185.5
Answer:
A
Step-by-step explanation:
maths question pls answer
Answer:
72
Length=12
Width=6
Answer:
72cm²
Step-by-step explanation:
perimeter= 2(l+w)
36 = 2(l+w)
36/2 = l+w
18 = l+w
since, l is twice as w
18= 2w + w
18 = 3w (we can add since all the variables, and exponents are same)
18/3 = w
6= w
NOW,
w=6 and l is equal to twice as 6
so l=12
area= l×b
= 12×6 = 72cm²
hope this helps. It was toooo long
In two or more complete sentences describe the process in writing the equation of a line given two points?
Answer:
First, we have to find slope. We do that by using slope formula. Once we have found slope, we have start to write our equation in slope-intercept form. To get the complete equation, we need to find the y-intercept. To do so, we simply plug in one of the coordinates given to us into our half-formed equation. We should be able to find the y-intercept and then have our complete linear equation once we write it all out.
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Massachusetts has a population of over 6,550,000 people. The maximum number of hairs that can grow on a human head is 500,000. Prove that there are at least 14 residents of Massachusetts who have the same number of hairs on their heads.
Answer:
So, basically, you can do this:
500,001*14<6,550,000.
This works because there is one person that can have 0 hairs, 1 hair, 2 hair and so on until we reach 500,000 hairs. Then, there has to be a repeat. So, we can do this fourteen times. Then, we can see that there are at least 14 people with a certain amount of hairs.
This set of 3 numbers are measurements of a right triangle. 10,8,6
True
False
Answer:
True
Step-by-step explanation:
**plug it in using the Pythagorean Theorem**
6^2+8^2= 10^2
36+64=100
100=100 (true)
Answer:
True
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We can prove that it is a right triangle by using the Pythagorean Theorem. We have the hypotenuse as 10 and our legs as 8 and 6:
8² + 6² = 10²
64 + 36 = 100
100 = 100
So, 6-8-10 is a Pythagorean Triple.
PLEASE HELP ME!!! :'(
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Answer: KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the data:
1) dataset:
My data(x) : 2, 4, 6, 8, 10
2) to calculate the mean absolute deviation of the data above :
Step 1: Find the mean (m) of the dataset (my data)
Mean(m) = sum of values in my data / number of observations in my data (n)
m = (2+4+6+8+10) / 5
m = 30 / 5 = 6
The mean absolute deviation(MAD) :
Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.
MAD = (Sum of |x - m|) / n
MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5
MAD = (4 + 2 + 0 + 2 + 4) / 5
MAD = 12 / 5
MAD = 2.4
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?
Answer:
m∠DEF is 90°
Step-by-step explanation:
It is given that D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have
⇒
⇒
and
⇒
⇒
Also,
⇒
⇒
Now,
⇒
⇒
Thus, Pythagoras theorem holds.
Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.
DE^2 = 1 + 16 = 17.
EF^2 = 16 + 1 = 17.
DF^2 = 9 + 25 = 34.
Since (DE)^2 + (EF)^2 = (DF)^2,
angle E is 90 degrees.
DF must be the hypotenuse
Here look at that
Asap help!!!!!! Which relations are functions? Select Function or Not a function for each graph.
Answer:
1st Graph: Function
2nd Graph: Function
3rd Graph: Not a function
4th Graph: Not a function
Step-by-step explanation:
We can determine if a graph is a function or not using the Vertical Line Test. Since we see that 1 and 2 pass but 3 and 4 pass, 1 and 2 are functions while 3 and 4 are not.
Find the area of the triangle. a) 225 units2 b) 75√3 units2 c) 150√3 units2 d) 27.5√3 units2
Answer:
Thus, area of triangle is [tex]225/\sqrt{3}[/tex]
Step-by-step explanation:
Area if triangle is given by 1/2( base*height)
Given
Height = 15 units
also one angle is given as 30 degrees
we know Tan of any angle is ratio of perpendicular and base
[tex]tan\alpha = perpendicular /base[/tex]
lets calculate tan 30 in the given triangle
we will take the smaller triangle containing angle 30 degrees and right angle
perpendicular will be half of base of triangle
base will be side with length 15 units
tan30 = perpendicular/15
[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]
Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]
so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Full full triangle
height = 15 units
base = [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]
Please help me ASAP (Each choose is Yes/No)
Answer:
MARK me brainliest please
Step-by-step explanation:
yes
yes
no
no
yes
WILL MARK BRAINIEST IF CORRECT!!!
1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?
Answer:
Look below
Step-by-step explanation:
8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out
8x= 8 boxes
At least 25= no less than 25 students
-15= the 15 that threw them out
x=boxes
the people= All real numbers
HOPE THIS HELPS!!!
Answer:
1 2 3 4
Step-by-step explanation:
Please answer this question in 2 minutes
Answer:
(8, 6)
Step-by-step explanation:
M (9. 4)
TU (x, y)
U (10.2)
T:
9= (x+10)/2 ⇒ x= 84= (y+2)/2 ⇒ y= 6T = (8, 6)
Answer:
T: (8, 6)
Step-by-step explanation:
The midpoint formulas for xm and ym involve the average x value and the average y value. Let T: (a, b) and V: (10,2). The actual midpoint is M(9,4).
Looking at the x-coordinates first:
a + 10
--------- = 9 (x-coordinate of the midpoint)
2
Then a + 10 = 18 and a = 8 (x-coordinate of point T)
Next, look at the y-coordinates:
b + 2
-------- = 4 (y-coordinate of the midpoint)
2
Then b + 2 = 8 and b = 6
Then the x- and y-coordinates of T(a, b) are 8 and 6 respectively:
T: (8, 6)
Triangle ABC is rotated 180° using the origin as the center of rotation.
Answer:
The third answer- a reflection over the x axis then a reflection over the y axis
Answer:the answer is C
Step-by-step explanation:I took the test
Solve 2x+2>10
A. x < 4
B. x > 4
C. x > 6
D. x < 6
Answer:
B
Step-by-step explanation:
2x+2>10
2x>10-2
x>8/2
x>4
What is the value of xx) = 9^x when x= -2?
A. 1/81
B. 81
C. 1/81
D. 18
Answer:
C. [tex]9^{-2} = \frac{1}{81}[/tex]
Step-by-step explanation:
Given
[tex]9^{x}[/tex]
Required
Find the expression where x - 2
[tex]9^{x}[/tex]
Substitute 2 for x
[tex]9^{-2}[/tex]
From law of indices which states
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, the expression becomes
[tex]9^{-2} = \frac{1}{9^2}[/tex]
Expand the denominator
[tex]9^{-2} = \frac{1}{9 * 9}[/tex]
[tex]9^{-2} = \frac{1}{81}[/tex]
Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2
80g of a 35% salt solution
Answer:
The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.
Ws = Weight of the salt
Ww = Weight of the water.
Then:
Ww + Ws = 80g
and the solution is 35% salt, so we have:
Ws/80g = 0.35
We must solve the system of equations, we can write the second equation as:
Ws = 80g*0.35 = 28g
Then we have 28 grams of salt, and the other 62g must be of water.
Step-by-step explanation:
Let x represent the weight of the salt
Let y represent the weight of the water
We know x + y = 80g total
If the salt solution is 35%, we can write the following equation:
x/80g = 0.35
x = 80g x 0.35 = 28
28 grams
PLS HELP ME!!!!! Find the sum of the first 100 terms of the arithmetic sequence with the first term 2 and the common difference 5.
Answer:
24,950.
Step-by-step explanation:
You can use the arithmetic series formula (a sequence is the list of numbers; a series is the summation of the list).
To find the sum...
(100 / 2) (2 * 2 + (100 - 1)5) = 50 * (4 + 99 * 5) = 50 * (4 + 495) = 50 * 499 = 24950.
Hope this helps!
Answer:
The sum of the first 100 terms of the arithmetic sequence is 24,950.
Step-by-step explanation:
Sn (sum of the first n terms of an AP) is given by n/2(2a + (n-1)d)
Where
n is the number of terms
a is the first term
d is the common difference
S100 = 100/2(2×2 + (100-1)5) = 50(4 + 99×5) = 50(4 + 495) = 50(499) = 24,950
the quotient. Simplify your answer
b - 4
b
4
Enter the
Answer:b-4/4
Step-by-step explanation:
Which best describes the relationship between the line that passes through the points
Answer:
Neither perpendicular nor parallel.
Step-by-step explanation:
To find the answer, you just need to find the slopes of each line.
The slope of the line with points at (-6, 5) and (-2, 7) would be (7 - 5) / (-2 + 6) = 2 / 4 = 1/2.
The slope of the line with points at (4, 2) and (6, 6) would be (6 - 2) / (6 - 4) = 4 / 2 = 2.
They are most definitely not the same line.
They are not perpendicular, either, since although they are [eek I forgot the term for it] opposites, they are both positive. To be perpendicular, one slope must be negative and the other positive.
They are not parallel, since the slopes are not the same.
So, the relationship between the lines are that they are neither parallel nor perpendicular.
Hope this helps!