The zoo in Samir's city is building a new habitat for its 7 spider monkeys. The habitat will
have trees, ladders, and vines in a cube-shaped cage that measures 14 meters on each side.
What is the volume of the new monkey cage?

Answer:

60°

Step-by-step explanation:

2x and x are linear pair,

=> 2x + x = 180

=> 3x  = 180

=> x = 180/3

=> x = 60°

=>2x =120°

Answer:

x = 60

Step-by-step explanation:

x + 2x =  180   {linear pair}

Combine like terms

3x  = 180

Divide both sides by 3

x = 180/3

x = 60

Hi ;-)

[tex]-28=2x+8-5x\\\\2x+8-5x=-28\\\\2x-5x=-28-8\\\\-3x=-36 \ \ /:(-3)\\\\\huge\boxed{x=12}[/tex]

Answer:

x=12

Step-by-step explanation:

-28=2x+8-5x

-28=-3x+8

Add 3x on both sides:

3x-28=-3x+8+3x

3x-28=8

Add 28 on both sides:

3x-28+28=8+28

3x=36

Divide 3 on both sides:

3x/3=36/3

x=12

Answer:

4)Y axis :X=0

5)A:2units B:4 units C:7units D:7units

A':2units B':4units C':7units D':7units

6)They are correspondingly the same

7)A(2;1) B(4;4) C(7;4) D(7;1)

A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)

Answer:

first one is rough endoplasmic reticulum and the second is cell membrane

Answer:

Answer:

Surface area of sphere = 4 π r²

154 = 4 × 22/7 × r²

154 = 88/7 × r²

154 × 7/88 = r²

12.25 = r²

3.5 = r

Now

Volume of sphere = 4/3 × π r³

Volume = 4/3 × 22/7 × (3.5)³

Volume = 88/21 × 42.875

Volume = 154 cm³

Volume of sphere = Volume of cube

Volume of cube = 154 cm³

Step-by-step explanation:

28y-42-5y=-21

28y-42=-21+5y

-42=-21+5y-28y

-42=-21-23y

42=21+23y

23y=42-21

23y=21

y=21/23

Answer:

y = 15

Step-by-step explanation:

[tex] \frac{4y - 6 - 5y}{7} = - 3[/tex]

➡️ [tex] \frac{ - y - 6}{7} = - 3[/tex]

➡️ [tex] - y = 6 = - 21[/tex]

➡️ [tex] - y = - 21 + 6[/tex]

➡️ [tex] - y = - 15[/tex]

➡️ [tex]y = 15[/tex]

Answer:

A área de um quadrado cujo perímetro é de 320 m é 6400 m2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We have to find the vertex of m(t) = t² - 4t + 25

a = 1

b = 4

c = 25

To do that we first need to move the 25 to the other side by subtracting 25 from both sides

m(t) = t² - 4t + 25

- 25              - 25

m(t) - 25 = t² - 4t

To continue completing the square, we have to add 4 to both sides since it is the square of half of b.

m(t) - 25 + 4 = t² - 4t + 4

m(t) - 21 = t² - 4t + 4

Now, we already found the minimum amount of members, but let's finish the square completion to find the vertex.

m(t) - 21 = t² - 4t + 4

Factor the right side

m(t) - 21 = (t-2)(t-2)

m(t) - 21 = (t-2)²

Finish it by adding 21 to both sides

m(t) - 21 = (t-2)²

      + 21         +21

m(t) = (t-2)² + 21

With this vertex form equation, we can tell that the vertex is (2,21)

Meaning 21 is the lowest number for m(t) for this equation.

Answer:

x=-10

Step-by-step explanation:

15x+8=-2+14x

15x-14x=-2-8

x=-10

Answer:

Answer:

53240 should be divided by 5 to make it a perfect cube.

Step-by-step explanation:

Answer:

y = 116

x = 64

Step-by-step explanation:

.55x + .80y =.8* 160

x + y = 180

~~~~~~~~~~~~~~~~~~~~

x = 180-y

Answer:

Answer:

$125 is the interest that you might earn

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{5000(2.5)(1)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{12500}{100}[/tex]

[tex]\\ \sf\longmapsto I=\$ 100[/tex]

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

Hi! I'm happy to help! (sorry for the wait, my computer crashed)

A linear function is where one variable is independent (x), and another is dependent. This means that we use x to solve for y, y depends on x to be found.

To solve this, we use an equation call slope intercept form, which states that y=mx+b.

There is only 1 solution line. (to solve for how to find y, you only have to have two verifications)

For our first table, we have x as 1, 2, 3,and 4. y is 3, 6, 12, and 24.

For our first set, with x is one and y is 3, there are infinite solutions, so we have to test and see if it matches the second set of x is 2 and y is 6.

How I like to check for what m will be, I check the first two y values. The first two are 3 and 6. They have an increase of 3, so m will be 3. (this only works when x increases by 1)

With m being 3, we can solve for b, to complete the equation:

3=(3(1))+b

3=3+b

With this, b must equal 0

3=3+0

Now, we just have to check if this equation matches all of the other x values:

6=(3(2))+0

6=6+0

__________________________________

12=(3(3))+0

12=9+0

12≠9

This equation doesn't seem to work, so this is not a linear function.

For our next table, our first two y values are 2 and 5, which have a increase of 3, so our m will be 3 again.

Now, let's solve for b:

2=(3(1))+b

2=3+b

In this case, b will be -1 because 2=3-1

Now, let's check if this matches up with our other values:

5=((3)2)-1

5=6-1

_______________________________

9=((3(3)-1

9=9-1

9≠8

This equation doesn't work, so it is not a linear function.

For our next table, we have our first two y values as -3, and -5. This has a decrease of 2, so our m will be -2.

Now, let's solve for b:

-3=((-2)1)+b

-3=-2+b

In this equation, b will be -1 because -3=-2-1.

Now, let's check our other values:

-5=(-2(2))-1

-5=-4-1

___________________________________________

-7=(-2(3))-1

-7=-6-1

______________________________________________

-9=(-2(4)-1

-9=-8-1

All of these values match, so this is a linear function.

If you wanted to (you don't have to, but if you needed verification) you could check the fourth problem.

Has a decrease of 2, so m would be -2. Plug it in:

-2=(-2(1))+b

-2=-2+b

b would be 0.

Check it on the second problem:

-4=(-2(2))+0

-4=-4+0

Check the third:

-2=(-2(3))+0

-2=-6+0

-2≠-6

The fourth table doesn't match either, so it is not a linear function.

You should choose option 3 because it is a linear function.

I hope this was helpful, keep learning! :D

Step-by-step explanation:

The distance between two point (x_1, y_1) and (x_2, y_2) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, the distance between (-1,4) and (1,-1) is

[tex]d=\sqrt{(1-(-1))^2+(-1-4)^2}=\sqrt{4+25}=\sqrt{29}=5.4[/tex]

Answer:

$76-$14-$24=$38

Step-by-step explanation:

She owed her mother $76, and has paid back $38, leaving $38 left to be paid. If this helped, please mark as Brainliest :)

Answer:

76-14-24 or another expression is 14+24-76

Step-by-step explanation:

the answer for the expression is 38

Answer:

120°

Step-by-step explanation:

The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.

Answer:

120

Step-by-step explanation:

Answer: 36/a^2b

Step-by-step explanation:

Starting with the question 4a^3b^-2*9a^-5b

Since we have multiplication we multiply our numbers and add exponents

So

4*9=36

and exponents

3+-5=-2

-2+1=-1

So 36a^-2b^-1

BUTTT because we absolutely CANNOT have negative exponents we put them in the denominator to make them positive so our final answer is

[tex]\frac{36}{a^2b}[/tex]

Answer:

solution:

here,

or, (2x+30)°=(3x+20)°

or,2x+30°=3x+20°

or, 2x+3x=30°+20°

or, 5x=50°

or, x=50°÷5

so that: x=10° ans

Answer:

4 ≥ x÷2.1

Step-by-step explanation:

Answer:

B =57

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

58+B+65 = 180

123+B = 180

B = 180-123

B =57

The angle sum property of a triangle:

∠A + ∠B + ∠C = 180°

⇛58° + 65° + x = 180°

⇛123° + x = 180°

⇛x = 180° - 123°

⇛x = 57°

Option B is the correct answer

Answer:

Inductive reasoning is the opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. ... Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.

Step-by-step explanation:

Answer:

hundredth:0.3800

thousand:0.4000

tenth:0.3780

Answer:

4/25

Step-by-step explanation:

Answer:

16% as a fraction is 4/25

Step-by-step explanation:

Every percentage is over a 100. This means that 16% is the same as 16/100 and simplifying this it will be 4/25 ( dividing both by 4)