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2 years ago

Due in 10 min help! Find t.

Mathematics

1 answer:

lys-0071 [83]2 years ago

8 0

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = $7\sqrt{2}$ mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

Using this trigonometric ratio in the given triangle, we get

$\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}$

$\dfrac{7\sqrt{2}}{\sqrt{2}}=t$

$7=t$

Therefore, the value of t is 7 millimetres.

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What is the measure of arc WYZ? ---------- 231 255 200 168

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Answer:

(a) 231°

Step-by-step explanation:

arc WYZ = arc WX + arc XYZ

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2 years ago

In Exercises 5-7, find all the exact t-values for which the given statement is true,

bearhunter [10]

Answer: See Below

Step-by-step explanation:

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

Answer: at 0π (0°) and all rotations of 2π (360°)

In radians: t = 0π + 2πn

In degrees: t = 0° + 360n

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

$6)\quad sin (t) = \dfrac{1}{2}$

Where on the Unit Circle does $sin = \dfrac{1}{2}$

Hint: sin is only positive in Quadrants I and II

$\text{Answer: at}\ \dfrac{\pi}{6}\ (30^o)\ \text{and at}\ \dfrac{5\pi}{6}\ (150^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{\pi}{6} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{6} + 2\pi n$

In degrees: t = 30° + 360n and 150° + 360n

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

$7)\quad tan (t) = -\sqrt3$

Where on the Unit Circle does $\dfrac{sin}{cos} = \dfrac{-\sqrt3}{1}\ or\ \dfrac{\sqrt3}{-1}\quad \rightarrow \quad (1,-\sqrt3)\ or\ (-1, \sqrt3)$

Hint: sin and cos are only opposite signs in Quadrants II and IV

$\text{Answer: at}\ \dfrac{2\pi}{3}\ (120^o)\ \text{and at}\ \dfrac{5\pi}{3}\ (300^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

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In degrees: t = 120° + 360n and 300° + 360n

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2 years ago

Lynn is knitting a blanket for her cousin. She uses 2/7 of a roll of yarn each day. How much yarn will she use in four days.

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Answer:

1 1/7 of a roll of yarn.

Step-by-step explanation:

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2 years ago

Read 2 more answers

The water in the reservoir decreases by 47% during a drop period before the drought the reservoir had 44,580 acre feet of water

Ket [755]

47 * 44,580
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2 years ago

Evaluate M^2 /p^2 for M = 10, N =-5p and P = -2

kondaur [170]

Answer:

The solution of $\bold{\frac{M^{2}}{P^{2}}}$ for M = 10, N = -5P and P = -2 is 25

Solution:

From question, given that the value of M is 10 and N is -5p and P is -2

We have to evaluate the value of $\frac{M^{2}}{P^{2}}$ ,

By substituting the values of M and N, we get

$\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}$

Expanding $\bold{10^{2}}$ :

Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.

$10^{2} = 10 \times 10 = 100$

Similarly expanding $\bold{(-2)^{2}}$ :

Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.

$(-2)^{2} = -2 \times -2 = 4$

So the equation $\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}$ becomes,

$\frac{M^{2}}{P^{2}} = \frac{100}{4}$

By dividing 100 by 4 , we get the result as 25

Hence the solution of $\bold{\frac{M^{2}}{P^{2}}}$ when M = 10 and P = -2 is 25

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2 years ago