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3 years ago

"Which of the diagrams below represents the statement, ""If it is an equilateral triangle, then it is isosceles""?

Mathematics

2 answers:

Klio2033 [76]3 years ago

7 0

Figure b I'm pretty sure

nignag [31]3 years ago

7 0

The required diagram is figure B.

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Suppose there are two individuals, Casey and Rick, who live in a very simplified world where only two goods are produced and con

TiliK225 [7]

The answer you should get is 150

7 0

3 years ago

Find the value of W that makes quadrilateral PQRS a parallelogram.

mestny [16]

to be a parallelogram its front sides must be equal to each other

so, we equalize the length of two sides that are face to face

$\begin{gathered} 5w-25=w+15 \\ \\ \end{gathered}$

and solve for w

$\begin{gathered} 5w-w=15+25 \\ 4w=40 \\ w=\frac{40}{4} \\ \\ w=10 \end{gathered}$

the value of w must be 10

6 0

10 months ago

karen is planning to drive 3105 miles on a road if she drive 345 miles a day how many days will it take to complete this trip

Maurinko [17]

Answer:

9 days!

Step-by-step explanation:

Take the number of miles shes planning on driving (3105) and divide it by the number of miles a day (345) and you would get 9

3105 ÷ 345 = 9

4 0

3 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

2 years ago

Terry descends 110 feet in 10 minutes inside a cave. Which of the expressions shows Terry’s change in position from where he was

erastovalidia [21]

Answer: Answer D

Step-by-step explanation: Terry descended 110 feet in the air so where was he before he descended? -110 feet 110 feet away from the cave so reverse that and hes 110 feet away :) hope this helps and is right.

7 0

1 year ago

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