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3 years ago

Help, teacher timing this.

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

5 0

Answer:

(D) x=10

Step-by-step explanation:

FIRST STEP:

Use a²+b²=c² form in which 12=a, 13=c, and x=b.

SECOND STEP:

Substitute a²+b²=c² for 12²+x²=13².

Simplify=144+x²=169.

THIRD STEP:

Take away 144 from both sides and get 25=x²

FOURTH STEP:

Since x is squared, we will have to square root both sides. After this happens, the equation will equal 5=x.

FIFTH STEP:

However, I only did half of the triangle, so I will multiply 5 by 2 and get 10.

So, the answer is 10=x

Alik [6]3 years ago

3 0

Answer:

Step-by-step explanation:

1. Split the triangle in half so that x = 1/2x

2. Use the pythagorean theorem to find 1/2x. $\sqrt{13^2-12^2} =5$

3. Because 5 = 1/2x, multiply by 2 to get x = 10

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When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

vitfil [10]

Answer:

$a = 6m/s^2$

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

$a\ \alpha\ \frac{1}{m}$

Convert variation to equality

$a = \frac{F}{m}$ ; Where F is the constant of variation (Force)

Make F the subject of formula;

$F = ma$

When mass = 4kg; Acceleration = 15m/s²

$F = 4 * 15$

$F = 60N$

When mass = 10kg; Substitute 60 for Force

$F = ma$

$60 = 10 * a$

$60 = 10a$

Divide both sides by 10

$\frac{60}{10} = \frac{10a}{10}$

$a = 6m/s^2$

Hence, the acceleration is  $a = 6m/s^2$ 

4 0

3 years ago

A house is worth 125,000 when it is 2 years old and 135,150 when it is 7 years old. According to this model, how much will the h

kicyunya [14]

Answer:111650

Step-by-step explanation:i think its right

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3 years ago

The cosine of 23° is equivalent to the sine of what angle

Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

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

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

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0

3 years ago

Guys Pls Help ASAP! Will Give Brainliesttt. Thxx

Allisa [31]

Answer:

23. x= -2/5 x= -5

24. x= 3/4 x= -1/6

25. x= 7/3. x= -5/4

26. x= 3 x= -2/3

27. x= 1. x= -2/7

28. x= 9/4. x= -1/3

29. x= 2/5 x= 1/3

30. x= 2/3 x= 1/2

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4 years ago

Please someone actually help with this I don't understand how.

tigry1 [53]

Answer:

Scatter plot

Step-by-step explanation:

Answer is 5

8 0

3 years ago