Line segment TU has endpoints (-7,10) and (-6,-5). What is the length of TU to the NEAREST TENTH?

Answer:

For the first one its: Volume = 402.12in³

For the second one its: Volume = 201.0619 in³

Step-by-step explanation:

For the first one work:

Volume = 3.1416 x 42 x 8

= 3.1416 x 16 x 8

For the second one work:

Volume = 3.1416 x 42 x 4

= 3.1416 x 16 x 4

Answer:

the formula is : V=πr2h

the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)

Step-by-step explanation:

Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.

Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

Answer:

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Step-by-step explanation:

Given - The matrices are -

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

To find - Arrange the matrices in increasing order of their determinant values.

Proof -

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is

= (2)(4) - (6)(3)

= 8 - 18

= -10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  = -10

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is

= (-2)(9) - (-7)(5)

= -18 + 35

= 17

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is

= (6)(-8) - (6)(5)

= -48 - 30

= -78

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  = -78

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is

= (2)(-5) - (4)(5)

= -10 - 20

= -30

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is

= (2)(4) - (5)(-2)

= 8 + 10

= 18

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is

= (4)(2) - (-3)(5)

= 8 + 15

= 23

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]  = 23

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is

= (3)(6) - (2)(4)

= 18 - 8

= 10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]  = 10

Now,

Increasing order of Determinant is -

-78 < -30 < -10 < 10 < 17 < 18 < 23

So,

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Answer:

Correct on Edmentum

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Answer:

25 km

Step-by-step explanation:

[tex]\frac{5}{25} :\frac{y}{125}[/tex]

y · 25 = 5 · 125

25y = 625

25y ÷ 25 = 625 ÷ 25

y = 25

Answer:

12

Step-by-step explanation:

Answer:

.62

Step-by-step explanation:

first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.

Step-by-step explanation:

Therefore the third side should be less than 12+15 = 27cm

And also the third side cannot be less than the difference of the two sides

Therefore, the third has to be more than 15-12 = 3cm

Thus, the third side could be the length more than 3cm and less than 27cm.

Answer:   (-4, -1)

This means x = -4 and y = -1 pair up together.

======================================================

You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.

Here's what your steps could look like

-2x + 5y = 3

-2(3y-1) + 5y = 3

-6y + 2 + 5y = 3

-y + 2 = 3

-y = 3-2

-y = 1

y = -1

x = 3y-1

x = 3(-1) - 1

x = -3-1

x = -4

Therefore, (x, y) = (-4, -1) is the solution

-------------------

As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.

If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)

Also, note how plugging x = -4 and y = -1 into the second equation leads to...

-2x+5y = 3

-2(-4)+5(-1) = 3

8 - 5 = 3

3 = 3

We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.

Answer:

1680 ways

Step-by-step explanation:

By using the formula for permutation, which is nPr=n!/(n-r)!,

8P4=8!/(8-4)!

=8!/4!

=8×7×6×5

=1680

Or if you just want to use the multiplication rule (which is simpler).

8×7×6×5=1680

Answer:

im pretty sure its  

1680

Step-by-step explanation:

Answer:

Obtuse.

Step-by-step explanation:

If we have a vector v = (a, b, c)

The magnitude of the vector is:

|v| = √(a^2 + b^2 + c^2)

And the dot product of two vectors:

v = (a, b, c)

w = (c, d, e)

is:

v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e

With that relation, we can find the angle between the two vectors.

In this case, we have:

v = ⟨−1,0,1⟩

then:

|v| = √( (-1)^2 + 0^2 + 1^2) = √2

And:

w = ⟨4,5,2⟩

then:

|w| = √( 4^2 + 5^2 +2^2) = √116

Then:

v.w = (√2)*(√116)*cos(θ) =  (-1)*(4) + 0*5 + 1*2

(√2)*(√116)*cos(θ) = -4 + 2 = -2

(15.23)*cos(θ) = -2

cos(θ) = -2/15.23

θ = Acos( -2/15.23) = 97.5°

Then the angle is larger than 90°, so the angle is obtuse.

Answer:

2 and 6, 1 and 5, 3 and 7, 4 and 8

Step-by-step explanation:

Any one of those would work

Answer: <1 and <5

Step-by-step explanation:

Answer:

x+26=37

Step-by-step explanation:

Answer: 94.3 meters

Step-by-step explanation:

Answer:

The value of P(B) = 0.5

Step-by-step explanation:

Given:

Value of P(A and B) = 0.20

Value of P(A|B) = 0.40

Find:

The value of P(B)

Computation:

P(A and B) = P(A|B) x P(B)

By putting value of P(A and B)  and P(A|B)

⇒ 0.20 = 0.40 x P(B)

⇒ The value of P(B) = 0.20 / 0.40

⇒ The value of P(B) = 20 / 40

⇒ The value of P(B) = 1 / 2

The value of P(B) = 0.5

Answer:

[tex]8x\sqrt{5x}[/tex]yz

Step-by-step explanation:

before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

Questions

answered

16

Time

elapsed

00 22 05

HR MIN SEC

SmartScore out of 100

44

Need a break?

Answer:

Step-by-step explanation:

A i think

Answer:

Elisa y Romina comieron 5/16 de la pizza completa cada una.

Step-by-step explanation:

Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:

(5/2) / 8 = X

2.5 / 8 = X

0.3125 = X

0.3125 = 5/16

Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.

Answer:

d

Step-by-step explanation:

Here is your answer ^^

----------------------------------

C≈25.13cm

Explanation:

C=2πr

d=2r

Solving for C:

C=πd=π·8≈25.13274cm

-------------------------------------

Anyways bye! <3

Answer:

91 students

Step-by-step explanation:

130 x 70% =91

Answer:

91 students

Step-by-step explanation:

so we are looking for 70% of 130

so we do the following:

130*.70

91 students

Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!

Step-by-step explanation:

Step-by-step explanation:

10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00

The inequality to describe the total amount Samantha saves is s > 15.

The correct option is (A).

Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.

As per the given data:

We are given that Samantha saves at least 10% of her monthly salary.

Samantha is earning $150 each month for a year.

To find the amount Samantha at least saves in a month:

= 10% of her monthly salary

= 10% × 150

= 10/100 × 150

= 15 dollars

As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:

savings > 15

The inequality to describe the total amount Samantha saves is s > 15.

Hence, The inequality to describe the total amount Samantha saves is

s > 15.

Learn more about Inequality here:

brainly.com/question/30231190

#SPJ2

(The given question is incomplete, the complete question is given below)

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

The answer is 7/10. I hope this helps you, have a good day!

Answer:

Step-by-step explanation:

49/70 = 7/10