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3 years ago

What are 2 equivalent forms of 31/50

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

I'm not exactly sure what your asking but if you mean equivalent forms your answers are: 0.62 and 62%

But if you mean equivalent fractions your answers are: 62/100 and 93/150

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I need help finding bc and ac

Vikki [24]

<h3>Given :</h3>

AB = 7
∠A = 45°

BC = ?
AC = ?

<h3>Solution :</h3>

From point A,

$\bf tan A = \dfrac{perpendicular}{base}$

$\bf \implies tan A = \dfrac{BC}{AB}$

$\bf \implies tan A = \dfrac{BC}{7}$

Now, we are given ∠A = 45°

$\bf \implies tan A = tan 45^{\circ}$

$\bf \implies tan 45^{\circ} = \dfrac{BC}{7}$

Now, we know that tan45° = 1

$\bf \implies 1 = \dfrac{BC}{7}$

$\bf \implies 1 \times 7 = BC$

$\bf \implies BC = 7$

Now, by Pythagoras' theorem,

AC² = BC² + AB²

$\bf \implies AC^{2} = (7)^{2} + (7)^{2}$

$\bf \implies AC^{2} = 49 + 49$

$\bf \implies AC^{2} = 98$

$\bf \implies AC = \sqrt{98}$

$\bf \implies AC = 7 \sqrt{2}$

$\pink{\bf \therefore \: values \: of \: AC = 7 \sqrt{2} \: and \: BC = 7}$

8 0

3 years ago

Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2.

jeka94

9514 1404 393

Answer:

y = -4x +9

Step-by-step explanation:

The same slope-intercept equation can be used, but with a different y-intercept. That new y-intercept can be found from the given point (x, y) using the formula ...

b = y -mx

b = 5 -(-4)(1) = 9

So, the equation with the new y-intercept is ...

y = -4x +9

7 0

3 years ago

Consider the function.

Novay_Z [31]

Answer:

f(x) has a slope of -1 and has a range of all real numbers.

Step-by-step explanation:

A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:

x-Intercept

$0 = - x-24$