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3 years ago

10

HELP ME WITH BOTH OF THEM!! HELP

2 answers:

Ket [755]3 years ago

6 0

Answer:

1.

$x \geqslant - 2$

2.

$x < - 2$

Step-by-step explanation:

since the first one is dotted it makes it that sign and also notice the arrow. anyone that is dotted always has the line under the sign

creativ13 [48]3 years ago

3 0

The person who answer before is correct but i can explain how to get the answer. For number 1 look at the point where it is graphed (-2) notice how it is a shaded circle (unlike number 2 where it is white) so you would have > with a line underneath. It would be > because thats the direction in which the line is going. For number 2 it would be x<-2 because the arrow is going to the left so it <, it would be -2 as thats where it has been plotted and, it would NOT have a line underneath the symbol because the circle is not shaded. Hope this helps you understand better for the future!

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A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are

Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence 13, 18, 23, ...

We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.

The formula for the sum of an arithmetic sequence with n terms is given is $S_n= \frac{n}{2} [2a_1+(n-1)d]S$ .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

$S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428$

Therefore, there are 8428 seats in all.

4 0

3 years ago

Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

Scale of a model airplane to the actual airplane is 1 inch equals 10 feet. How many times longer the actual plane is than the mo

WINSTONCH [101]

Answer:

120 times

Step-by-step explanation:

If we want to find a qunatity is how many times as other quantity, we have to divide the large one by the small one (remember, same units).

Let's make both into inches.

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also

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6 0

3 years ago

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krek1111 [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Phoenix [80]

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3 years ago

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