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3 years ago

Find the length of side BY for the given triangle.

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer:

option 3- 5 square root 2

Step-by-step explanation:

$\sin 45° = \frac{BY}{OY} \\ \\ \frac{1}{ \sqrt{2} } = \frac{BY}{10} \\ \\ BY = \frac{10}{ \sqrt{2} } \\ \\ BY = \frac{10 \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ \\ BY = \frac{10 \sqrt{2} }{2 } \\ \\ \huge \red{ \boxed{BY = 5 \sqrt{2} }}$

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Marta exercises 30 minutes each day Greg exercises 40 minutes a each day how many more minutes does Greg exercise than Marta in

ryzh [129]

40-30=10 minutes more per day x 31 days = 310minutes in a month with 31 days.

6 0

3 years ago

Read 2 more answers

Round 0.5289 to the nearest thousandth.

Anit [1.1K]

Answer:

0.5289 to the nearest thousandth is 0.529.

Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.

7 0

3 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

3 years ago

The value of 5s in 25,578

mash [69]

Answer:

500 and 5,000

Step-by-step explanation:

The value of the first 5 is five hundred (500)

The value of the second is five thousand (5,000)

7 0

2 years ago

500

statuscvo [17]

Answer: The required ratio would be 3 miles : 4 minutes.

Step-by-step explanation:

Since we have given that

Speed of a cheetah = 45 miles per hour

So, it means

Distance = 45 miles

Time = 1 hour = 60 minutes

So, the ratio of the distance it travels to the time it takes would be

Distance : Time

$45\ miles:60\ minutes\\\\=3\ miles :4\ minutes$

Hence, the required ratio would be 3 miles : 4 minutes.

3 0

2 years ago