Answer:
surface area of cube=6×side²
surface area of cube =6×(9cm)²
surface area of cube= 486cm²
Aeryn spent 5 days building a
brick wall that had 100 bricks in
it. She got better each day and
managed to lay 4 more bricks
than the previous. How many
bricks did she lay her first day?
pleaseeeee pleaseeee helppppppppp
Given:
The two vectors are:
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
To find:
The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].
Solution:
We have,
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
The cross product of these two vectors is:
[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]
Now the magnitude of the cross product is:
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]
Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].
What is the value of v?
The volume of the cube is 4,913 cubic millimeters. In order to find out the value of V, we must find the cube root of 4913, which is 17 = V.
V = 17
Are the two figures below similar?
Answer:
No
Step-by-step explanation:
While both legs of the triangle are similar with a ratio of 3:4, the hypotenuses of the triangles have a ratio of 8:11
What is the probability of rolling a 3 on a 6-sided 8)
number cube and then NOT rolling a 3 on a 6-
sided number cube?
Answer:
the chances of rolling a 3 are 1/6
the changes of not doing it is 5/6
HELP ASAP GEOMETRY CIRCLES 10TH GRADE
Answer:
a): 68
b): 32
Step-by-step explanation:
In a triangle, there is a total of 180 degrees
We are given 2 out of the 3 angles, 54 and 58 degrees
180-54-58= 68 degrees
In the other angle, both lines form a 90-degree angle
We are given 58 degrees, so the rest must be 32.
Mr. Pennington had a board 2 1/4 feet long. He
used 21 inches. How much of the board did he
have left?
PLEASE HELP!! I will make you brainiest and give you 5 stars if you help me!
Answer:
D
Step-by-step explanation:
You multiply each coordinate by 1/4 to get the new coordinates of the triangle
I hope this helps you
find hcf of 3x²+7x-6 and 2x²+7x+3
Given:
The expression are:
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
To find:
The HCF of the given expression.
Solution:
We have,
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
The factor form of given expressions are:
[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]
[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]
[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]
Similarly,
[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]
[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]
[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]
From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.
Therefore, the HCF of given expressions is [tex](x+3)[/tex].
Help please. No links
Answer:
C
Step-by-step explanation:
The question is asking which one is equal to the absolut value of 12. The absolute value of -12 equals 12, so it is the same as the absolute value of 12.
find the value of x and find the value of the angle with a star in it
Answer:
x = 25
angle measure = 55
Step-by-step explanation:
The two angles are supplementary
2x+5+5x = 180
7x+5 = 180 subtract 5 from both sides
7x = 175 divide both sides by 7
x = 25 to find the angle with the star replace x with 25
25*2 + 5 = 55
Given f(x)=2x^2+1 and g(x)=3x−5 , find the following. g(f(x))
9514 1404 393
Answer:
g(f(x)) = 6x^2 -2
Step-by-step explanation:
Evaluate the expression using the given argument value.
g(f(x)) = g(2x^2 +1) = 3(2x^2 +1) -5
= 6x^2 +3 -5 = 6x^2 -2
__
g(f(x)) = 6x^2 -2
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
pls help solve this math problem
Step-by-step explanation:
the answer is 3 following triangle law
Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si fallaran dos de las máquinas, pero debieran mantener la producción de helado ¿Cuánto tiempo tardarían?
Answer:
I dont understand spanish!
Step-by-step explanation:
I need help !!asap......
Answer:
65 degrees
Step-by-step explanation:
I recently answered a question in detail that was similar to this one. Feel free to look at my answered questions for it.
For this one, the easiest way to think about it is this. The line on which both angle 4 and angle 1 sit is a straight line, that makes them supplementary angles which is just a fancy word that means if you add them together they equal 180.
(angle 4) + (angle 1) = 180
And if (angle 1) = 115, then that means
(angle 4) = 180 - 115
(angle 4) = 65
I need help please thank you
Answer:
1) 4x^2-x+1
2) -4x^2+3x
3) 6r^3 - 15r
Step-by-step explanation:
can someone please help me
if the central angle is 3pie/4 and the radius is 13 what's the arc length
Answer:
The arc length is 9.75 pi units
Step-by-step explanation:
Mathematically, we use the formula below to get the length of an arc
Length of an arc is;
theta/360 * 2 * pi * r
where theta is the central angle
for 3pi/4 ; let us convert to degrees
The degree measure is 180 degrees for pi
so 3pi/4 will be (3 * 180)/4 = 135 degrees
So we have the arc length as follows;
135/360 * 2 * pi * 13 = 9.75 pi unit
No desenvolvimento da multiplicação 2 × (4+7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, qual propriedade fui utilizada?
Answer:
Propiedad distributiva de la multiplicación sobre la suma
Step-by-step explanation:
Spanish
Propiedad distributiva de la multiplicación sobre la suma
2 × (4 + 7)
Aquí vemos que el número 2 se multiplica por 4 y 7
2 se distribuye a 4 y 7
= 2 × 4 + 2 × 7
Después de la multiplicación se suman ambos
= 8 + 14 = 22
Esta propiedad se llama propiedad distributiva de la multiplicación sobre la suma.
English
No development of multiplication 2 × (4 + 7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, which property was used?
Distributive property of multiplication over addition
2 × (4 + 7)
Here we see that the number 2 is multiplied with both 4 and 7
2 is distributed to both 4 and 7
= 2 × 4 + 2 × 7
After multiplication both are added
= 8 + 14 = 22
This property is called distributive property of multiplication over addition.
x2 + 7y if x = -5 and y = -8
Answer:
x2 + 7y = -64 (if x = -5 and y = -8)
Step-by-step explanation:
x2 + 7y
(-5 × 2) + (7 × -8)
-10 + -54 which is the same as -10 - 54
-64
The value of expression x² + 7y at x = - 5 and y = - 8 is, - 31.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ x² + 7y
And, x = - 5 and y = - 8
Now, Substitute the value of x and y in the expression, we get;
⇒ x² + 7y
⇒ (-5)² + 7×- 8
⇒ 25 - 56
⇒ - 31
Thus, The value of expression is, - 31.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Given a bag of 4 red marbles, 5 blue marbles & 6 green marbles, find the probability of drawing a blue marble, replacing it, and then drawing a green marble.
Answer:
15
Step-by-step explanation:
I’m on a time limit and I really have no clue what this is. Please help!!!!
Answer:
2/8
Step-by-step explanation:
I think, I am not sure
CAN SOMEONE PLEASE HELP
Answer:
The first one.
Step-by-step explanation:
The symbol that you are comparing the numbers with is equal two or greater than and you have to be 48 inches or taller.
helpoooooo please hhhb
Answer:
Step-by-step explanation:
that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.
setting up directions over the graph (like a compass), the vector would be between East and South
using the diagram below it would most likly be south of east and 350 degrees
i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6
Answer: i think its alternate interior
HELP REALLY QUICK PLEASE
Answer:
The answer is 140
The yellow part which is shaded is 14x10 which equals 140
Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce triangle A′′B′′C′′ ? Triangle ABC was translated 10 units right and then reflected across the x-axis. Triangle ABC was reflected across the y-axis and then translated 7 units down. Triangle ABC was reflected across the x-axis and then translated 9 units right. Triangle ABC was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.
Answer:
The answer is B
Step-by-step explanation:
Triangle ABC was reflected across the y-axis and then translated 7 units down.
Can one of y’all help me pls
Answer:
D) x - 7 + 3
Step-by-step explanation:
gave sister = subtract
aunt gave = addition
Equation:
x - 7 + 3
i need help as soon as possible the answers are
7
102
14
51
Answer:
The length of diagonal TU is 102 units
Step-by-step explanation:
Mathematically, the diagonals of a parallelogram bisect each other
This means that the lengths on either of the either of the sides are equal
Mathematically, we have it that;
7x + 2 = 6x + 9
7x - 6x = 9-2
x = 7
The diagonal TU has the measure of ;
(7x + 2) + (6x + 9)
7x + 6x + 2 + 9
= 13x + 11
substituting the value of x, we have
13(7) + 11
= 102