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3 years ago

What is the ratio of 3 nickles to four dollars

Mathematics

2 answers:

yulyashka [42]3 years ago

6 0

15/400 or 3/80 so answer is 3/80 ratio

amm18123 years ago

6 0

3:80. There are 80 nickles in 4 dollars, so for every 3 nickles, you have 80.

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Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

What is the expanded expression form that is equivalent to 3(x + 3y)?

Scrat [10]

What is the expanded expression form that is equivalent to 3(x+3y) ?

It is = 3x+9y

7 0

3 years ago

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Which of the following pairs of lines are perpendicular? Select all that apply

ad-work [718]

Perpendicular lines will have negative reciprocal slopes

B. y = -4x+ 5 and y = 1/4x + 4
D. y = x + 4 and y = -x + 4
E. y = -3 and x = -3

4 0

3 years ago

Simplify the difference. (4w^2 – 4w – 8) – (2w^2 + 3w – 6)

Blababa [14]

Answer:

2w^2 -7w-2

Step-by-step explanation:

(4w^2 – 4w – 8) – (2w^2 + 3w – 6)

Distribute the minus sign

(4w^2 – 4w – 8) – 2w^2 - 3w + 6

I like to line them up vertically

4w^2 – 4w – 8

– 2w^2 - 3w + 6

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

2w^2 -7w-2

8 0

3 years ago

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Brainliest if you are correct

frez [133]

Answer:

D) $log_2(x)+3log_2(9)$

Step-by-step explanation:

Given: $log_2(9x^{3})$

Use Exponent Rule: $3log_2(9x)$

Use Addition Rule: $log_2(x)+3log_2(9)$

4 0

3 years ago

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