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cricket20 [7]
3 years ago
7

Please do both! Will mark brainliest

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

Answer:

1. x = 19.9  2. x = 8.1

Step-by-step explanation:

1. Cos(x) = Adjacent/Hypotenuse  We identify that the angle of 17 degrees is next to the adjacent side of 19 and the hypotenuse is the longest side of the triangle.

Cos(17) = 19/x   We substitue in the values then rearrange to give us x.

xCos(17) = 19  We multiply both sides by x.

x = 19/Cos(17)  We divide by Cos(17).

x = 19.86814337  We put it into the calculator.

x = 19.9  Rounding to the nearest tenth is the same as rounding to 1 decimal place.

2. Tan(x) = Opposite/Adjacent  We identify that the angle of 51 degrees is opposite 10 and next to the adjacent side of x.

Tan(51) = 10/x  We substitute in the values then rearrange to give us x.

xTan(51) = 10  We multiply both sides by x.

x = 10/Tan(51)  We divide by Tan(51).

x = 8.097840332 We put it into the calculator.

x = 8.1  Rounding to the nearest tenth is the same as rounding to 1 decimal place.

Hope that helps you.

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the ratio of pennies to quarters in a piggy bank is 14:3. if there are 51 quarters in the bank, how many pennies are there
malfutka [58]

The number of pennies in bank is 42

<em><u>Solution:</u></em>

Given that ratio of pennies to quarters in a piggy bank is 14 : 3

Let 14x be the number of pennies in piggy bank

Let 3x be the number of quarters in piggy bank

<em><u>To find: number of pennies</u></em>

Given that there are 51 quarters

number of pennies in piggy bank + number of quarters in piggy bank = 51

14x + 3x = 51

17x = 51

x = 3

number of pennies = 14x = 14(3) = 42

Thus the number of pennies in bank is 42

4 0
3 years ago
-10-(-6) solve the integers
Ghella [55]

Answer:

It would be -4

Step-by-step explanation:

a double negative becomes a + sign

So, -10 + 6=-4

4 0
3 years ago
Read 2 more answers
Solve For Each Variable.
bixtya [17]

The first equation given 6=1-2n+5

We have to add 1 and 5 to the right side first. We will get,

6= 6 - 2n

To get rid of 6 from the right side we have to subtract 6 from both sides.

6-6 = 6-6-2n

6-6 = -2n

0=-2n

To find n we have to move -2 to the other side by dividing both side by -2.

0/-2 = -2n/-2

0= n

n=0

So we have got the required answer for the first question.

The solution is n = 0.

The second equation given,

8x-2 = -9+7x

First we have to move 7x to the left side by subtracting it from both sides.

8x-7x-2 = -9+7x-7x

8x-7x-2 = -9

x-2 = -9

Now we have to move -2 to the right side by adding 2 to both sides.

x-2+2 = -9+2

x = -9+2

x = -7

We have got the required answer for the second question.

The solution is x = -7.

The third equation given,

-8 = -(x+4)

We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,

8=x+4

Now we have to move 4 to left side by subtracting it from both sides.

8-4 = x+4-4

8-4 = x

4=x

x = 4

So we have got the required answer .

The solution is x = 4.

3 0
3 years ago
What step do I do next ?
Svetach [21]
When it comes to dividing decimals, bear in mind that, first off you'd want to do away with the decimal point.

now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?

for example 2.135 ÷ 5

notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.

since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really

2135 ÷ 5000, which is 0.427

now, if we had 2.135 ÷ 5.79

what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really

213500 ÷ 579000  <-- notice, no dot on both

which is about 0.3687392

anyhow, that said, check the picture below

5 0
3 years ago
Suzanne wants to put a fence around her square garden. If the garden covers an area of 64 ft^2, how many feet of fencing does sh
Art [367]

Answer:

32 feet of fence

Step-by-step explanation:

The garden is a square, so the length and width are equal.

A = L x W

W = L

A = W²

A = 64

W² = 64

W = √64 = ±8 -- (-8) would be extraneous

W = 8 ft

L = 8ft

Since she is putting the fence around the garden, she needs to find the perimeter.

P = 2L + 2W

P = 2(8) + 2(8)

P = 16 + 16

P = 32 ft

32 feet of fence

8 0
3 years ago
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