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2 years ago

Explain why (cos((theta))? + (sin((theta))2 = 1

Mathematics

1 answer:

frez [133]2 years ago

5 0

Imagine a right triangle where a and b are the legs and c is the hypothenuse.

Pitagora: a²+b²=c²

Divide by c

(a/c)²+(b/c)²=1

But a/c=sin(B) and b/c=cos(B)

Thus sin² + cos² = 1

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What estimate can you make for 1/2 and 4/6?

densk [106]

1/2 would be rounded to 1 and 4/6 would be rounded to 1

5 0

3 years ago

Tanner made his aunt a garden. The width is 9 4/5 ft and the length is 5 3/4 ft. What is the area of

ratelena [41]

Answer:

56.35 ft^2, or 56 7/20 ft^2

Step-by-step explanation:

One way of doing this problem quickly is to convert both measurements into improper fractions before multiplying them:

9 4/5 = 49/5 and 5 3/4 = 23/4.

Then the area of the garden is 49/5 times 23/4, or 1127/20 ft^2, or

56.35 ft^2, or 56 7/20 ft^2.

3 0

2 years ago

Write the coordinates of the vertices after a reflection over the x-axis. 1072

Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

$(x,y)\rightarrow(x,-y)$

Determine the coordinates of the vertices after reflection over the x-axis.

$Q(6,-8)\rightarrow Q^{\prime}(6,8)$ $R(7,-8)\rightarrow R^{\prime}(7,8)$ $S(7,-5)\rightarrow Q^{\prime}(7,5)$ $T(6,-5)\rightarrow T^{\prime}(6,5)$

6 0

9 months ago

If i ate 20 candy bars and 40 more what do i have

DaniilM [7]

Answer:

Diabetes

Step-by-step explanation:

By consuming that much candy your blood sugar levels would skyrocket causing you to get diabetes.

3 0

3 years ago

Use a table to find a z-score that fits the given conditions. Interpolate if necessary.

kotegsom [21]

<span>After deeply looking at the table it seems
z= .05
which means only 52% is less than Z

so, that is greater than z by 48%</span>

7 0

3 years ago