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Sergio [31]
2 years ago
15

Solve for an angle in right triangles. Round to the nearest hundredth

Mathematics
1 answer:
Leona [35]2 years ago
4 0

Answer:

6.53

Step-by-step explanation:

cos(theta)= adjacent/hypotenuse


cos(40)= 5/h

H= 5/cos(40)

=6.527

Rounded to the nearest hundredth will be 6.53

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Work out the formula for the nth term of the<br>quadratic sequence:<br>5, 11, 19, 29​
Sladkaya [172]

Answer:

n squared + 3n + 1

Step-by-step explanation:

5,11,19,29

Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.

8 0
3 years ago
A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards ? ​
Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

So

area = l \times w \\  = 21 \times 15 \\  = 315 {ft}^{2} \\  \\

So now We need to convert it to yards square

315ft^{2} \times  \frac{ {1yd}^{2} }{ {9ft}^{2} } \\  \\  =  \cancel{315ft^{2}}  \: ^{35}  \times  \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }}  \\  \\  = 35 {yd}^{2}

So how this 9 ft^2 came??

Let's know

ft \to \: yards \\  \\ 3ft = 1yd \\  \\  {3ft}^{2} =  {1yd}^{2}  \\  \\  \boxed{ {9ft}^{2} =  {1yd}^{2}}

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>
8 0
2 years ago
Read 2 more answers
If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
ArbitrLikvidat [17]

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

p = \frac{k}{q^2}

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

p = \frac{k}{q^2}

25 = \frac{k}{3^2}

k = 25*9 = 225

So

p = \frac{225}{q^2}

Determine p when q is equal to 5.

p = \frac{225}{q^2} = \frac{225}{5^2} = 9

p = 9 when q = 5.

6 0
2 years ago
How do a graph y=5/3x-9
zaharov [31]

Step-by-step explanation:

y int is -9. to graph slope think a our rise/run. change in y / change in x. move 5 units up per 3 units right. it's a positive slope to the graph is increasing towards the right

8 0
3 years ago
Find the product: (0.45)•(0.008)
Leya [2.2K]

0.45x0.008=0.0036

---

hope it helps

5 0
3 years ago
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