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3 years ago

12

Is 5 a prime composite or neither

1 answer:

Elden [556K]3 years ago

4 0

<span>5 is a prime number. </span>

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Kamal’s bedroom has an area of 120 square feet. The width of the room is 5/6 the length of the room. What are the dimensions of

julia-pushkina [17]

Let
x----------> <span>the length of the room
y----------> </span><span>the width of the room

we know that
x*y=120---------> equation 1
y=(5/6)x--------> equation 2

substitute 2 in 1
x*[(5/6)x]=120------> (5/6)x</span>²=120-----> x²=120*6/5-----> x²=144
<span>x=12 ft
y=(5/6)*12-----> y=10 ft

the answer is
</span><span>the dimensions of Kamal’s bedroom are
</span>the length of the room is 12 ft
the width of the room is 10 ft<span>

</span>

3 0

3 years ago

Please help and show work if you can I only need 10, 11 and 12

postnew [5]

Answer:

Step-by-step explanation:

10). AD = BC [If ABCD is a parallelogram]

3x + 1 = 6x - 4

6x - 3x = 1 + 4

3x = 5

x = $\frac{5}{3}$

11). If ABCD is a parallelogram,

AB = CD

5x - 8 = 2x + 7

5x - 2x = 7 + 8

3x = 15

x = 5

12). If ABCD is a parallelogram,

AB = CD

AB║CD and BD is a transversal intersecting these parallel lines.

∠ABD ≅ ∠BDC [Alternate interior angles]

4x - 1 = x + 38

4x - x = 38 + 1

3x = 39

x = 13

6 0

2 years ago

For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of

kotykmax [81]

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

$\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}$

here;

m = 5

n = 9

r = 0.5

Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

6 0

2 years ago

Find the distance between (-4,3,-6) and the origin ((X,Y,Z) Graph)

devlian [24]

The distance between (-4,3,-6) and the origin is $\sqrt{61$

<h3>How to determine the distance?</h3>

The point is given as:

(x, y, z) = (-4,3,-6)

The origin is

(x, y, z) = (0,0,0)

The distance between the point and the origin is calculated as:

$d = \sqrt{x^2 + y^2 + z^2$

So, we have:

$d = \sqrt{(-4)^2 + (3)^2 + (-6)^2$

Evaluate

$d = \sqrt{61$

Hence, the distance between (-4,3,-6) and the origin is $\sqrt{61$

Read more about distance at:

brainly.com/question/7243416

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4 0

1 year ago

The _____ function is the most basic function in a family of functions.

grandymaker [24]

Answer:

Parent function

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers