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RideAnS [48]
3 years ago
5

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

x ≈ 8.8

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = \frac{opposite}{hypotenuse} = \frac{PQ}{OQ} = \frac{3}{x} ( multiply both sides by x )

x × sin20° = 3 ( divide both sides by sin20° )

x = \frac{3}{sin20} ≈ 8.8 ( to the nearest tenth )

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Mr. Smith has 15.6 pounds of oranges to pack for shipment. He can ship 2.4 pounds of oranges in a large box and 1.2 pounds in a
s2008m [1.1K]

Answer:

3 boxes.

Step-by-step explanation:

Let x represent number of 1.2 pounds boxes.

We have been given that Mr. Smith has 15.6 pounds of oranges to pack for shipment. He can ship 2.4 pounds of oranges in a large box and 1.2 pounds in a small box.

The oranges covered in x small boxes would be 1.2x    

Oranges packed in 5 large boxes would be 5\times 2.4\text{ pounds}=12\text{ pounds}.

We can represent our given information in an equation as:

1.2x+12=15.6  

1.2x+12-12=15.6-12  

1.2x=3.6  

\frac{1.2x}{1.2}=\frac{3.6}{1.2}  

x=3  

Therefore, the minimum number of small boxes required to ship the rest of the oranges would be 3 boxes.

7 0
3 years ago
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6%
77julia77 [94]

Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

6 0
3 years ago
Can someone help. Please
KonstantinChe [14]

Answer:

Answer below       Please give brainliest!!  

Step-by-step explanation:

Sue Black:  8x5=40 hours    40 x $6.75 = $270


Jerry Atrix:  7.25 + 3 + 6.75 + 8 + 5 = 30 hours

                    30 x $5.15 = $154.50


Sam Ting:  7.75 x 5 = 38.75 hours

                 38.75 x $8.75 = 339.0625 = $339.06

5 0
4 years ago
Rewrite 85% as a fraction in simplest form and as a decimal
nignag [31]

85 %

85/100 - divide by 5 for the numerator and denominator

85/5= 17

100/5=20

Simplest form : 17/20

As decimal : 0.85 because of 85/100

Answer:

Simplest form : 17/20

As decimal : 0.85

3 0
3 years ago
How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Snowcat [4.5K]

Answer:

20

Step-by-step explanation:

It seems like the rule of this sequence is to add 5 (since 2 + 5 = 7 and 7 + 5 = 12). We already are given that we have 2 2-digit numbers (12 and 17) so let's see if there are any more. The sequence continues to 22, 27, 32, 37, 42, 47, ..., 92, 97. We need to count how many numbers are in the list 12, 17 ... 92, 97. To do this, let's add 3 to every term in the list to get 15, 20, ... 95, 100. Since the list is now full of multiples of 5 we can divide the list by 5 to get 3, 4, ... 19, 20 and then subtract 2 to get 1, 2, ... 17, 18 which means that there are 18 2-digit numbers.

8 0
4 years ago
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