Use the volume formula to find the volume of the prism.


A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units

Answer:

4[tex]\sqrt{2\\[/tex] or 5.7

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

4[tex]\sqrt{2\\[/tex] or 5.7

Answer:

x = -0.4y

Step-by-step explanation:

Simplifying

15x + 6y = 0

Solving

15x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

15x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

15x + 0 = 0 + -6y

15x = 0 + -6y

Remove the zero:

15x = -6y

Divide each side by '15'.

x = -0.4y

Answer:

12(1+3)

6(3+1)

12(4)

6(4)

48

24

answer = 2

Answer:

12 boys

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

12 boys

Answer:

V = l × b × h

Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = Pe^{rt}[/tex]

[tex]3P = Pe^{0.065t}[/tex]

[tex]e^{0.065t} = 3[/tex]

[tex]\ln{e^{0.065t}} = \ln{3}[/tex]

[tex]0.065t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.065}[/tex]

[tex]t = 16.90[/tex].

For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]

[tex](1.00510416667)^{12t} = 3[/tex]

[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.00510416667)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]

[tex]t = 17.98[/tex]

17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.

More can be learned about interest equations at https://brainly.com/question/25781328

Answer:

The smallest number be 6.

Step-by-step explanation:

Let the 4 consecutive numbers be :

n,n+1,n+2,n+3 where n is the smallest number

Adding up the 4 consecutive numbers, we get :

n+n+1+n+2+n+3 = 4n+6

ATQ,

4n+6 = 5n

Taking like terms together,

6=5n-4n

⇒ n = 6

So, the smallest number be 6.

Answer:

D the number 7 to the right of -4 on the number line

Answer:

6

Step-by-step explanation:

it's basically the same equation just different arrangement

Answer:

{4,6,8,10,12}

Step-by-step explanation:

Even numbers are those that can be divided by 2 without remainder i.e. they are divisible by 2.

The first positive even numbers are 2,4,6,8,10,12,14,16,18...

Selecting the numbers in the given range between 3 and 13 in set notation:

{4,6,8,10,12}

Answer:

4, 6, 8, 10, 12

Step-by-step explanation:

List the even numbers between 3 and 13 in set

notation

[4, 6, 8, 10, 12]

thanks

Answer: Around 1.2 meters

Step-by-step explanation:

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

Write 64 as a product of primes.

Use index notation where appropriate.

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex]Prime\ no.\ is\ 2[/tex]

Factorisation of 64=2×2×2×2×2×2

[tex]{2}^{6} [/tex]

Answer:

210 mph

Step-by-step explanation:

speed of jet = x

headwind: speed = x - 27

time taken = 1134.6/(x - 27)

tailwind: speed = x + 27

time taken = 1469.4/(x + 27)

same amount of time:

1134.6/(x - 27) = 1469.4/(x + 27)

Cross multiply,

1134.6(x + 27) = 1469.4(x - 27)

1134.6x + 30634.2 = 1469.4x - 39673.8

334.8x = 70308

x = 210 mph

Answer:

Step-by-step explanation:

(26/2)² = 169

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

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Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

⇒ A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

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

Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

⇒ C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

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

Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

⇒ B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]

Answer:

7

Step-by-step explanation:

Answer:

Kelsey has 8 plus more entries

8 + x

Answer:

25%, 50%, 12.5%,12.5%

Step-by-step explanation:

6/24

3/24

12/24

3/24

Answer:

15.5

Step-by-step explanation:

5+2x5-1+6/4=15.5

using a calculator this answer is correct.

Answer:

41/10 or 4.1......

Step-by-step explanation:

Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

yeah 5 is 5% of 100 i dunno bro

if anything try .25

sorry

Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:

f = 5/40 = 1/8 = 0.125 = 12.5%.

The relative frequency for the class with a lower class limit of 35 is of 12.5%.

More can be learned about relative frequencies at https://brainly.com/question/14398287

Answer:

I think it's 16

Step-by-step explanation:

your adding 4

Answer:

The area of this figure is  106 square meters

Step-by-step explanation:

7*4=28

(10*5)

50+28+28= 106 sq meters

Answer:

6000/1+0.04 power of 5

= 32,269.44

The expression to be evaluated:

For,

First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.

On putting the values of x and y in the given expression:

‎ㅤ‎ㅤ➝ 2x² - y + 3x

‎ㅤ‎ㅤ➝ 2× ( 3 )² - 7 + 3 × 3

‎ㅤ‎ㅤ➝ ( 2 × 9 ) - 7 + 9

‎ㅤ‎ㅤ➝ 18 - 7 + 9

‎ㅤ‎ㅤ➝ 11 + 9

‎ㅤ‎ㅤ➝ 20