Find the volume of the hollow prism as shown (in cubic ft.)

"Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per min

Lapatulllka [165]

First we need to find Mia's speed (v) in km/min

v = distance travelled/ time
v = 3 km/20 minutes
v = 0.15 km /min

in order to convert the speed into mile/min, we need to use the conversion factor given in which for every kilometer, there is 0.6 miles.

v = 0.15 km/min *(0.6 miles/ km)
v =0.09 miles/min

therefore the speed in miles/min is 0.09 miles/min

4 0

3 years ago

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The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h? StartFraction V Ove

Svetach [21]

Answer:

The correct answer is <u>A.) StartFraction V Over l w EndFraction = h</u>

Step-by-step explanation:

i just did the test on edge and got it right. Can i get brainiest

3 0

3 years ago

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Please help with this slope equation math problem! Thank you!!

Andru [333]

Answer:

I think it will be 2/1

Step-by-step explanation:

Its positive I know that, but since the points go right two and up one that should be the slope if i'm not mistaken.

8 0

2 years ago

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A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing

Usimov [2.4K]

9514 1404 393

Answer:

see below for a sketch
12 km

Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.

6 0

3 years ago