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german
3 years ago
12

Find the value of x help

Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

6.7

Step-by-step explanation:

This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.

Soh in Soh cah toa

                  So  sin(42)=x/10

                        10 times sin(42)=x

                             Evaluate using a calculator=6.69130606 and so on

                                 Rounded to the nearest tenth is 6.7

So the answer is 6.7

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One grain of sand weighs 0.0007g. How many grains of sand are in 6300kg. Leave your answer in standard form
lions [1.4K]
6,300kg=6,300,000g

6,300,000/0.0007=9,000,000,000 grains of sand
7 0
3 years ago
On January 3, the high temperature in Anchorage, Alaska, was −24∘F. That same day, the high temperature in Minneapolis, Minnesot
Shkiper50 [21]

Answer:

-15

Step-by-step explanation:

-24-(-9)= -15

3 0
3 years ago
Tonya runs 8 kilometres in 60 minutes. At a rate how long would it take her to run 2 kilometers
MatroZZZ [7]
(60 minutes / 8 km)*(2 km) = 60/4 = 15 minutes
7 0
4 years ago
Read 2 more answers
Jada eats 2 scoops of ice cream in 5 minutes. Noah eats 3 scoops of ice cream in 5 minutes. How long does it take them to eat on
Scrat [10]

Answer:

\frac{5}{6} minutes

Step-by-step explanation:

Let's find unit rate of each.

<u>Jada</u>

2 scoop in 5 minutes

So,

1 scoop in 5/2 = 2.5 minutes

<u>Noah</u>

3 scoop in 5 minutes

So,

1 scoop in 5/3 = 1.25 minutes

These are the times. Time and rate are inverses of each other. So the rates of each is:

Jada = 1/2.5 = 0.4

Noah = 1/1.25 = 0.8

Working together, we add the rates and find the time:

(0.4+0.8)*t = 1

1.2t = 1

t = 1/1.2 = \frac{5}{6} minutes

So, they take \frac{5}{6} minutes to eat one scoop, working together

5 0
4 years ago
Of the cartons produced by a​ company, ​% have a​ puncture, ​% have a smashed​ corner, and ​% have both a puncture and a smashed
LuckyWell [14K]

Full Question

<em>Of the cartons produced by a​ company, 10​% have a​ puncture, 6​% have a smashed​ corner, and 0.4​% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing​ ____%. ​(Type an integer or a decimal. Do not​ round.)</em>

<em />

Answer:

P(Punctured\ or\ Smashed\ Corner) = 0.156

Step-by-step explanation:

Given

Puncture\ Corner = 10\%

Smashed\ Corner = 6\%

Punctured\ and\ Smashed\ Corner = 0.4\%

Required

P(Punctured\ or\ Smashed\ Corner)

For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;

P(Punctured\ or\ Smashed\ Corner) = P(Punctured\ Corner) + P(Smashed\ Corner) - P(Punctured\ and\ Smashed\ Corner)

Substitute:

10% for P(Puncture Corner),

6% for P(Smashed Corner) and

0.4% for P(Punctured and Smashed Corner)

P(Punctured\ or\ Smashed\ Corner) = 10\% + 6\% - 0.4\%

P(Punctured\ or\ Smashed\ Corner) = 15.6\%

Convert % to fraction

P(Punctured\ or\ Smashed\ Corner) = \frac{15.6}{100}

Convert to decimal

P(Punctured\ or\ Smashed\ Corner) = 0.156

3 0
3 years ago
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