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3 years ago

Kathy is twice as old as Mary. Kathy is 2 yrs younger than Jon. The sum of all three ages is 77. How old is Kathy?

Mathematics

1 answer:

poizon [28]3 years ago

3 0

Answer:

I think Kathy is 75 years old

Step-by-step explanation:

If kathy is twice as old as Mary, that makes Mary 37 and a half, as that times 2 is 75, and that's two years younger than Jon

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A football field is 160 ft wide. Convert the width to yards

forsale [732]

The answer is "53.33 yards"

4 0

3 years ago

(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

What is the common difference of an arithmetic sequence defined by the formula an=2n−4?

Ainat [17]

Answer:

d = 2

Step-by-step explanation:

Generate the first few terms

a₁ = (2 × 1) - 4 = 2 - 4 = -2

a₂ = (2 × 2) - 4 = 4 - 4 = 0

a₃ = (2 × 3) - 4 = 6 - 4 = 2

a₄ = (2 × 4) - 4 = 8 - 4 = 4

d = 0 - (- 2) = 2 - 0 = 4 - 2 = 2

5 0

3 years ago

Read 2 more answers

1)The sum of a number and 81 is at least 102.

Katyanochek1 [597]

Answer:

any number grater than or equal to 21

Step-by-step explanation:

3 0

3 years ago

Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.

Solnce55 [7]

9514 1404 393

Answer:

see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

Your specific question asks for h(0):

h(0) = -|0 +2| +1 = -2 +1

h(0) = -1

You may want to check your other table values.

8 0

2 years ago