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3 years ago

Can someone help me with this question?

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

both show a proportional relationship

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Is the following statement true? Explain.

sukhopar [10]

Step-by-step explanation:

We can prove the statement is false by proof of contradiction:

We know that cos0° = 1 and cos90° = 0.

Let A = 0° and B = 90°.

Left-Hand Side:

cos(A + B) = cos(0° + 90°) = cos90° = 0.

Right-Hand Side:

cos(A) + cos(B) = cos(0°) + cos(90°)

= 1 + 0 = 1.

Since LHS =/= RHS, by proof of contradiction,

the statement is false.

4 0

3 years ago

You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of driving, what is your strai

Maru [420]

The distance between starting and ending point is 34 miles.

Step-by-step explanation:

Given,

Car moves 16 miles to north then 30 mile to east.

It forms a right angle triangle.

The straight line distance from starting to ending point represents hypotenuse.

To find the distance between starting and ending point.

Formula

By Pythagoras theorem,

h² = b²+l² where h is the hypotenuse, b is base and l is the another side.

Taking, b=16 and l=30 we get,

h² = 16²+30²

or, h = $\sqrt{256+900}$

or, h = $\sqrt{1156}$ = 34

Hence,

The distance between starting and ending point is 34 miles.

5 0

3 years ago

Please help me evaluate the expression 10a + 7 if a =1/5

sattari [20]

Answer:

Step-by-step explanation:

10a+7

10(1/5) + 7

2+7

6 0

2 years ago

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

$Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4$

Total number of possible results:

$results = 4*455\\results = 1820$

3 0

3 years ago

Look at the figure find the value of x for which l || m

Orlov [11]

Answer:

x=5

Step-by-step explanation:

19x and its vertical angle are equal. Lets call that angle y

<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.

<y + 17x=180

We know that y and 19x are equal since they are vertical angles, so we can substitute this in.

19x+ 17x = 180

Combine like terms.

36x = 180

Divide each side by 36

36x/36 = 180/36

x = 5

8 0

3 years ago