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3 years ago

Keith swam 50 72 meters in the swimming pool this morning. This

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

Answer:

122.96 meters is the answer

Step-by-step explanation:

If you add you will get the answer

Hope it helpes

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Find all solutions of each equation on the interval 0 ≤ x<2π.

Aleksandr [31]

Answer:

$x = 0 \: or \:x = \pi$

Step-by-step explanation:

The given equation is

$\tan^{2} (x) \sec^{2} (x) + \sec^{2} (x) - \tan^{2} (x) = 2$

Subtract 2 from both sides and factor by grouping to get:

$\sec^{2} (x)(\tan^{2} (x) + 2) -1( \tan^{2} (x) + 2)$

$(\tan^{2} (x) + 2) (\sec^{2} (x) - 1) = 0$

By the zero product principle:

$(\tan^{2} (x) + 2) = 0 \: or \: (\sec^{2} (x) - 1) = 0$

$(\tan^{2} (x) = - 2 \: or \: \sec^{2} (x) = 1$

When

$\sec^{2} (x) = 1 \implies\cos^{2} (x) = 1$

$\implies \: \cos(x) = \pm1$

This implies

$x = 0 \: or \:x = \pi$

When

${ \tan }^{2} (x) = - 2$

We have

$\tan(x) = \pm \sqrt{ - 2}$

hence x is not defined for all real numbers

6 0

3 years ago

Read 2 more answers

Help me out please???

alekssr [168]

Answer:

TW +DW

Step-by-step explanation:

6 0

3 years ago

point A lies at the intersection of y = x and y = -2/3x + 5. What are the coordinates of A? Express your answer as an ordered pa

torisob [31]

Y = x
y = -2/3x + 5

x = -2/3x + 5
x + 2/3x = 5
3/3x + 2/3x = 5
5/3x = 5
x = 5 * 3/5
x = 15/5 reduces to 3

y = x
y = 3

so ur answer is (3,3)

6 0

4 years ago

Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation

Nuetrik [128]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 1

Interval Notation:

( − ∞, 1)

3 0

3 years ago

Find the area of the trapezoid

Shalnov [3]

Answer: 8

Step-by-step explanation: so we can count the middle four, then the sides are basically two triangles that are the same, so we put them together and you get 4 more, so 4 plus 4 is 8

7 0

3 years ago