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3 years ago

If a plane is cruising at an altitude of 30,000

Mathematics

1 answer:

madam [21]3 years ago

7 0

Answer:

244,330 feet

Step-by-step explanation:

Please refer to the image attached for explanations

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Three brothers spent different amounts of money on their recent vacation.

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3 years ago

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Which of the following is a true statement about functions?

chubhunter [2.5K]

Answer:

Step-by-step explanation:

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3 years ago

K-17=-12 I need help solveing this

Fed [463]

Remember, you can do ANYTHING to an equaiton as long as you do it to BOTH SIDES

we can try to get k by itself bymaking that -17 into 0 since k+0=k

-17+17=0 right so

K-17=-12
add 17 to BOTH SIDES
K+17-17=17-12
K+0=5
K=5

5 0

3 years ago

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Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27

vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}$

we have

$a=32\ units$

$b=27\ units$

$B=37\°$

step 1

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}$

substitute the values

$\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}$

$sin(A)=(32)Sin(37\°)/27=0.71326$

$A=arcsin(0.71326)=45.5\°$

The measure of angle A could have two measures

the first measure-------> $A=45.5\°$

the second measure -----> $A=180\°-45.5\°=134.5\°$

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=45.5\°$

$B=37\°$

$45.5\°+37\°+C=180\°$

$C=180\°-(45.5\°+37\°)=97.5\°$

step 3

Find the first length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}$

$c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units$

therefore

the measures for the first solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=97.5\°$ , $b=52.7\ units$

step 4

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=134.5\°$

$B=37\°$

$134.5\°+37\°+C=180\°$

$C=180\°-(134.5\°+37\°)=8.5\°$

step 5

Find the second length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}$

$c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units$

therefore

the measures for the second solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=8.5\°$ , $b=7.9\ units$

6 0

3 years ago

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

MArishka [77]

The range for Week 1 equals he range for Week 2 is the true statement.

Answer: Option A.

<u>Step-by-step explanation:</u>

Median is the middle number of an ordered list.

75 is the median for Week 1 and Week 2.

The range is the difference between highest and lowest value for the given number series.

The highest and lowest value of the series for both Week 1 and Week 2 is same.

Lowest value =62.

Highest value =89.

∴ The range for Week 1 and Week 2 = 89-62.

The range for Week 1 and Week 2 = 27.

∴The range for both Week 1 and Week 2 remains the same.

8 0

3 years ago