Answer:
... centroid, or center of gravity.
Step-by-step explanation:
The point of concurrency of the medians of a triangle is always inside the triangle and is called the ______.
MediansA median joins a vertex of a triangle with the midpoint of the opposite segment. It is a line segment that lies entirely within the triangle. Hence any two medians will meet at a point that is within the triangle.
The point of concurrency of medians is called the "centroid." If the triangle has uniform areal density, the centroid will be the center of gravity, the point at which the triangle could be balanced.
The centroid divides each median into parts in the ratio 1:2, where the longer part is the segment to the vertex, and the shorter is the segment to the midpoint of the side.
The volume of the sphere is about (blank) ft.
Answer:
[tex]14.13[/tex]
Step-by-step explanation:
V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Answer:
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Step-by-step explanation:
we are given the redious of a sphere
we want to figure out the volume
remember that,
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]
since we are given the redious we can substitute
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]
as the approximate value of π is given
substitute:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]
we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction
so
simplify square:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]
reduce fraction:
[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]
[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]
since we cubed the redious and the redious is in feet, we of course use cubic feet
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
someone help this is due soon!!
Answer:
m∠E = 113
Step-by-step explanation:
Given that ΔDEF ≅ ΔPQR
We know that the following angles are congruent
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
Now how do we know how these angles are congruent?
Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent
Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.
So we are also given that
∠R = 13 and ∠D = 54
and we need to find ∠E
Remember like stated previously ∠R ≅ ∠F so ∠F = 13°
Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)
Using the triangle angle rule (the angles in a triangle add up to equal 180)
so ∠E = 180 - ∠D - ∠F
now we plug in the given information
∠E = 180 - 54 - 13
180 - 54 = 126
126 - 13 = 113
so ∠E = 113
!DUE TODAY, PLEASE HELP!
The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cube and need to know how many square units of paint to purchase. If each face has side length s, the the formula s=6s^2 can be used to find the surface area of the cube. The length of a side is indicated in the cube below (s=x-5). The surface area of the cube is 1944 units^2.
What is the value of x? SHOW and EXPLAIN each step you used to solve.
Answer:
x = 23
Step-by-step explanation:
surface area of a cube = 6s²
Side length, s = x - 5
Surface area of the cube = 1944 units²
What is the value of x?
surface area of a cube = 6s²
1944 = 6(x - 5)²
1944/6 = (x - 5)²
324 = (x - 5)²
324 = x² - 10x + 25
x² - 10x + 25 - 324 = 0
x² - 10x - 299 = 0
Solve quadratic equation using factorization
(x + 13) (x - 23) = 0
x + 13 = 0 or x - 23 = 0
x = -13 or x = 23
The side length can not be negative
Therefore, x = 23
robert wants to buy a hat that is 25% off. if the original price is $35 and 6% sames tax, how much does he pay
The number 345,672 rounded to the nearest ten thousand is
Answer:
350,000
Hope this helps !!!
Please help!!!!!! Will mark brainliest!
Answer:
k
Step-by-step explanation:
(4 to the power of 2 )2
Solve for m
please help
Answer:
∠ ADE = 59°
Step-by-step explanation:
The angles in a rectangle are right angles, then
∠ ABC = 90° , that is
4x + 15 + 13x + 7 = 90
17x + 22 = 90 ( subtract 22 from both sides )
17x = 68 ( divide both sides by 17 )
x = 4
Then
∠ CBE = 13x + 7 = 13(4) + 7 = 52 +7 = 59°
Since the sides in a rectangle are parallel then
∠ ADE = ∠ CBE ( alternate angles )
∠ ADE = 59°
What is 3x3x3x3x3x3x3x33x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x33x3x33x3x3x3x3x3x3x3x3x33x3x3x3333333x333x3x3x3x3x3x3x3x3
Answer:
calculadora es muy bonita hoy
Step-by-step explanation:
Answer:
440000079
Step-by-step explanation:
Please please help I beg you
Answer:
Step-by-step explanation:
PLEASE HELP FAST 15 POINTS ANDWER IF YOU ONLY KNOW!
Answer:
i can see the question in ascending order
find the inequality represented by the graph
Answer:
y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.
Step-by-step explanation:
A recipe for bread uses 2 cups of liquid and 6 cups of flour for 3 loaves of bread. How many cups of flour are needed for 10 loaves?
Answer:
20
Step-by-step explanation:
3.33*6= 19.98
What’s the answer ?
Answer:
the real answer is 379in³
Answer: 390
Step-by-step explanation:
To find the surface area of the box, you need to find the area of each face of the box. So the front face is 9*14 equals 126. The side of the cube that has the lightest color is 9 times 3 equals 27. Then the last side you can see, is 3 times 14 equals 42. Because this is a rectangular prism, the front face is the same as the back face, the top face is the same as the bottom face, and the left side face is the same as the right side face. So adding all of the faces together you get 42+42+126+126+27+27=390.
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
30 points
Answer:
hope this helps .keep on learning
helppp meeeeeeeeeeeeeeee
Answer:
Area=1/2 b×h
A1=1/2×8×14
=56m²
A2=1/2 ×16×14
=112m²
therefore total area
=56+112
168m²
please help!!!!!!!!!!!!!!!!!!
Answer:
down below
Step-by-step explanation:
Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
We need to determine how many centimeters represents 600 km. We will use the following formula:
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
PLEAASEEEEEE HELPPPPPP!!!!!!
Please help me ASAP! I will pick brainliest
Answer:
b
Step-by-step explanation:
The closed circle indicates that the -6 is included
and the arrow is going to the bigger numbers
find the length of the missing side pls help
Answer:
the first triangle is 10
the second triangle is 8
Step-by-step explanation:
1. the formula for this is a²+b²=c²
c is the missing side
add in the numbers and you get 8²+6²=c²
8² is 64 and 6² is 36. 64+36 = 100
then find the square root of 100, which is 10
2. the formula for this is c²-b²=a²
17² - 15² = a²
289-225 = 64
the square root of 64 is 8
I'll give brainlyest help
Answer:
5 meters
Step-by-step explanation:
40/8=5
Answer:
area of rectangle =length ×width
40m² = 8m × width
40m²/8m = width
5m = width.
The Brown family has many pairs of athletic shoes. They counted p pairs all together. They decided to give away 6 pairs, because they had outgrown them. After giving 6 pairs away, the Brown family still has 11 pairs of athletic shoes remaining.
Write an equation to describe this situation.
How many pairs of shoes did the Brown family start with?
Answer: The brown family started out with 17 pairs of shoes. (11 + 6)
p - 6 = 11 (I would say this is the equation)
Step-by-step explanation:
You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17
Answer: They started out with 17 and the equation was p - 6 = 11
Step-by-step explanation:
Please help me with this homework
In a bag of counters, there are 3 times as many red counters as
blue.
There are twice as many blue counters as yellow counters.
What is the ratio of red : blue : yellow?
Answer:
The ratio is 6:2:1.
Step-by-step explanation:
Let's denote:
Blue counter b
Red counter r
Yellow counter y.
There is given
r=3b (three times more red as blue) [1]
and
b=2y (twice more blue as yellow.) [2]
Now, replacing [2] to [1] gives
3*2y=r
6y=r.
Hence, the ratio is 6:2:1, because r=6y and b=2y.
help me please i would be sooo thankful!
Answer:
Step-by-step explanation:
I need help Barbara measured a restaurant and made a scale drawing. In real life, a table in the restaurant is 6 feet long. It is 2 inches long in the drawing. What scale did Barbara use for the drawing?
Answer:
1 inch = 3 feet
Step-by-step explanation:
if 6 feet is real, and 2 feet is on the drawing, then you would convert it to 1 inch = 3 feet
Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
A new washing machine uses 40% less water than an older model.
A family used 1,200 gallons of water per month to run the old
washing machine. About how much water will they use each
month to run the new washing machine?
Answer:
840 Gallons
Step-by-step explanation:
Answer:
840 gal
Step-by-step explanation:
Which of these shapes can be classified as a polygon, quadrilateral, and a parallelogram?
Answer:
Step-by-step explanation: