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2 years ago

The arcs in the diagram are labeled with their measures in degrees. What is the measure of arc uv?

Mathematics

1 answer:

IrinaVladis [17]2 years ago

3 0

Answer:

10 steps

Step-by-step explanation:

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Explain how finding 4 times 384 can help you find 4 times 5384.then find both products

forsale [732]

Answer:

Given the following: 4 times 384 can help you find 4 times 5384.

$4 \times 384 = 1536$

Now, find $4 \times 5384$

Using Distributive property: $a\cdot (b+c) = a\cdot b + a\cdot c$

We can write $4 \times 5384$ as

$4 \times (5000+384)$

Apply distributive property we have;

$4 \times 5000 + 4\times 384$

Now, find both products;

we know: $4 \times 384 = 1536$

$20000 + 1536$ = 21,536

8 0

2 years ago

Who can solve this question

Leviafan [203]

Answer:n

ihn\ngbf x

vStep-by-step explanation: jjkd na

no[ncvfos

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2 years ago

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

2 years ago

Simplify the expression. Write answer without spaces between terms and signs.

dsp73

Answer:

4h-7

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1 (1 - 2h) + 2 • (3h - 4) STEP2:

Final result :

4h - 7

4 0

2 years ago

Read 2 more answers

A desk is 39 inches wide. What is the width in yards

Stolb23 [73]

Answer:

1.0833 yd

Step-by-step explanation:

Inches Yards

37" 1.0278 yd

38" 1.0556 yd

39" 1.0833 yd

40" 1.1111 yd

Have a great day! :D

4 0

2 years ago