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3 years ago

solve p varies directly as the square of s and inversely as r, when s=6,r=3,and p=48 find the value of p when s =10and r=5

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given that p varies directly as s² and inversely as r then the equation relating them is

p = $\frac{ks^2}{r}$ ← k is the constant of variation

To find k use the condition when s = 6, r = 3 and p = 48, that is

48 = $\frac{6^2k}{3}$ ( multiply both sides by 3 to clear the fraction

144 = 36k ( divide both sides by 36 )

4 = k , thus

p = $\frac{4s^2}{r}$ ← equation of variation

When s = 10 and r = 5 , then

p = $\frac{4(10)^2}{5}$ = $\frac{400}{5}$ = 80

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jonny [76]

Answer:

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Step-by-step explanation:

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2 years ago

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

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Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

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2 years ago

Roger is a florist who uses a triangular-shaped frame to arrange flower bouquets. He received an order to make a new bouquet suc

kvv77 [185]

The locations specified in the order regarding the shape will be B. longest side AC; smallest angle ∠C.

<h3>How to express the information?</h3>

From the information given, in the triangle where A = 59°, B is unknown, and C = 41°. Therefore, the value of B will be:

= 180° - (59° + 41°)

= 180° - 100°

= 80°

Therefore, the locations specified in the order regarding the shape will be longest side AC; smallest angle ∠C.

In conclusion, the correct option is B.

Learn more about shapes on:

brainly.com/question/25965491

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2 years ago

I will give Brainiest if you are right

Vadim26 [7]

Answer:

19.5º

Step-by-step explanation:

Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.

33.5 + 127= 160.5

180- 160.5 = 19.5

So, the angle F is 19.5º

Hope this helps !!

-Ketifa

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2 years ago

Read 2 more answers

I need help with 5 and 6

8_murik_8 [283]

Answer:

w = 6

RS = 13

Step-by-step explanation:

RS + ST = RT

(2w + 1) + (w - 1) = 18

3w = 18

; w = 6

Hence the value of RS = 2(6) + 1

; RS = 13

AC = AB + BC

56 = (x + 16) + (5x + 10)

56 = 6x + 26....then rearrange the equation to form...;

56 - 26 = 6x

30 = 6x...

where...; x = 5

AB = 5 + 16 and BC = 5(5) + 10

;AB = 21 ;BC = 35

7 0

3 years ago

solve p varies directly as the square of s and inversely as r, when s=6,r=3,and p=48 find the value of p when s =10and r=5​

solve p varies directly as the square of s and inversely as r, when s=6,r=3,and p=48 find the value of p when s =10and r=5