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3 years ago

N/6 = 15/4 N=____? Help please

Mathematics

2 answers:

Galina-37 [17]3 years ago

7 0

Answer:

N = 22.5

Step-by-step explanation:

N/6 = 15/4

Using cross products

4N = 6*15

4N = 90

Divide each side by 4

4N /4 = 90/4

N = 45/2

N = 22.5

Law Incorporation [45]3 years ago

3 0

Answer: N=22.5

Step-by-step explanation:

N/6=15/4

N*4=15*6

4N=90

4N/4=90/4

N=22.5

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Solve the following equation for a. <br> -4G+1/8Qa=7<br> Answer: a=?

kolbaska11 [484]

By making a the subject of formula in the given equation, the value "a" is equal to 1/(56Q + 32GQ).

<h3>What is an equation?</h3>

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In this exercise, you're required to solve for a from the given mathematical expression (equation) by making it the subject of formula. This ultimately implies that, all the other variables would be defined in terms of a and they would all be on the same side of the "equal to" symbol.

Making a the subject of formula, we have:

-4G + 1/8Qa = 7

1/8Qa = 7 + 4G

Multiplying both sides by 8Q, we have:

8Q × 1/8Qa = (7 + 4G) × 8Q

1/a = 56Q + 32GQ

a = 1/(56Q + 32GQ).

Read more on subject of formula here: brainly.com/question/21140562

#SPJ1

6 0

1 year ago

Please help:

kolezko [41]

Answer:

Step-by-step explanation:

Use the volume formula of a right rectangular prism!

V=whl

Just plug the values in and throw them in your calculator.

w stands for width

h stands for height

l stands for length

Hope that helps. Since it is part of a quiz, I can't give you the answer, but I believe in you!

5 0

2 years ago

The surface area of a cube is 216 sq.cm. What is it’s volume

PtichkaEL [24]

First we need to find it’s length/width which we can do by dividing 216 by the amount of faces it has and then divide that result by 2

216/6=36
36/2=18

And volume is pretty much just 3 times that answer

3(18)=54

The volume is 54 cm^3

7 0

3 years ago

Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?

Margarita [4]

Answer :

Brian has $49 left.

Step by step explanation :

Step 1 : Find how much money Brian spends on rent and food.

First question we should be asking is what is 3/5 of 735?

Let's find that.

$\frac{3}{5}$ * $\frac{735}{1}$

= $\frac{(3)(735)}{(5)(1)}$

= $\frac{2205}{5}$

= 441

We know Brian spends $441 on rent. Now we find how much he spends on food.

$\frac{1}{3} * \frac{735}{1}$

= $\frac{(1)(735)}{(3)(1)}$

= $\frac{735}{3}$

= 245

Brian spends $245 on food.

Step 2 : Add what he spends on rent and food together.

$441 + $245 = $686

Step 3 : To find out how much money Brian has left, we subtract $686 from $735.

$735 - $686 = $49

Conclusion : Brian has $49 left.

Hope this helps, please mark brainliest if possible. Have a nice day.

3 0

2 years ago

Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).

Oduvanchick [21]

Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).

1. Find

$\overrightarrow{DE}=(1-1,-5-1,2-1)=(0,-6,1),\\ \\\overrightarrow{DF}=(-2-1,2-1,7-1)=(-3,1,6).$

Then

$\cos \angle D=\dfrac{0\cdot (-3)+(-6)\cdot 1+1\cdot 6}{\sqrt{0^2+(-6)^2+1^2}\cdot \sqrt{(-3)^2+1^2+6^2}}=\dfrac{0}{\sqrt{37} \cdot \sqrt{46} }=0.$

2. Find

$\overrightarrow{ED}=(1-1,1-(-5),1-2)=(0,6,-1),\\ \\\overrightarrow{EF}=(-2-1,2-(-5),7-2)=(-3,7,5).$

Then

$\cos \angle E=\dfrac{0\cdot (-2)+6\cdot 7+(-1)\cdot 5}{\sqrt{0^2+6^2+(-1)^2}\cdot \sqrt{(-3)^2+7^2+5^2}}=\dfrac{37}{\sqrt{37} \cdot \sqrt{83} }=\sqrt{\dfrac{37}{83}}.$

3. Find

$\overrightarrow{FE}=(1-(-2),-5-2,2-7)=(3,-7,-5),\\ \\\overrightarrow{FD}=(1-(-2),1-2,1-7)=(3,-1,-6).$

Then

$\cos \angle F=\dfrac{3\cdot 3+(-7)\cdot (-1)+(-5)\cdot (-6)}{\sqrt{3^2+(-7)^2+(-5)^2}\cdot \sqrt{3^2+(-1)^2+(-6)^2}}=\dfrac{46}{\sqrt{83} \cdot \sqrt{46} }=\sqrt{\dfrac{46}{83}}.$

$\angle E=\arccos0=\dfrac{\pi}{2},\\ \\
\angle D=\arccos\letf(\sqrt{\dfrac{37}{83}}\right)\approx 0.27\pi,\\ \\
\angle F=\arccos\letf(\sqrt{\dfrac{46}{83}}\right)\approx 0.23\pi.$

3 0

2 years ago