Help me out with this mathematic question please

Answer:

14.5 cm

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

c = hypotenuse (15)

to solve for b (other leg), the equation is  b^2 = c^2-a^2

15^2 - 4^2 = 209

[tex]\sqrt{209}[/tex] = approx. 14.5

the other leg is (rounded to the nearest 10th) 14.5 cm

Answer:

Step-by-step explanation:

y = -2x - 5.....slope here is -2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we will need is : 1/2. See how I flipped the slope of -2/1 and changed it to -1/2.....now I change the sign making our new slope be 1/2.

y = mx + b

slope(m) = 1/2

(-1,-2).....x = -1 and y = -2

now sub and find b, the y int

-2 = 1/2(-1) + b

-2 = -1/2 + b

-2 + 1/2 = b

-4/2 + 1/2 = b

-3/2 = b

so ur perpendicular line is : y = 1/2x - 3/2

Answer:

y = -2x - 5

m = -2

Step-by-step explanation:

The perpendicular line has a negative reciprocal slope.

m = 1/2

You are also given a point, so use the point slope formula.

y - y1 = m(x - x1)

y + 2 = 1/2(x + 1)

y + 2 = 1/2x + 1/2

y = 1/2x - 3/2

So the line perpendicular to y = -2x - 5 in slope intercept form is:

y = 1/2x - 3/2

or

y = 0.5x - 1.5

Answer:

the answer is 13 units

Step-by-step explanation:

Answer:

142 is a composite number. Factor pairs: 142 = 1 x 142 or 2 x 71. Factors of 142: 1, 2, 71, 142. Prime factorization: 142 = 2 x 71

Answer:

1, 2, 71, 142

Pairs would be (1 x 142), (2 x 71), (71 x 2), (142 x 1)

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

1/3 - 2/7 = 7/21 - 6/21 = 1/21

Hope I helped!

Answer:

m-5 Tray would be Bill's amount of pencils

Answer:

-3/1

Step-by-step explanation:

It's always the x value over the y value, so whatever's in the x

Answer:

-3

Step-by-step explanation:

the equation is y=-3x+5, so m=-3

Answer:

-2

Step-by-step explanation:

Let's call the number x. The statement tells us that

x^2 - 10 = 3x, or

x^2-3x-10 = 0

Factoring:

(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.

Answer:

Step-by-step explanation:

From the given information:

(a)

Since growth quantity is not continuous

[tex]Q(t) = 150 (1.07)^t[/tex]

For t = 10

[tex]Q(10) = 150 (1.07)^{10}[/tex]

[tex]\mathbf{Q(10) = 295.073}[/tex]

(b)

Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.

i.e.

[tex]Q(t) = 150 e^{0.07t}[/tex]

At t = 10 for a continuous growth rate;

[tex]Q(10) = 150 e^{0.07 \times 10}[/tex]

[tex]Q(10) = 150 e^{0.7}[/tex]

[tex]\mathbf{Q(10) = 302.063}[/tex]

Answer:

(3,3)

Step-by-step explanation:

(0+3,8-5)

(3,3)

Answer:

x=1

Step-by-step explanation:

14+3x=8x-3(x-4)

Answer:

The updated IQR is 14.54.

Step-by-step explanation:

The interquartile range is given by the difference between the 75th percentile(value that is greater than 75% of the measures) and the 25th percentile.

This means that each piece of wood is actually 5 inches shorter than the value recorded by the employee.

This means that the length of each wood is less than 5. However, the difference between the 75th percentile and the 25th percentile will stay the same, since both were subtracted by 5.

The updated IQR is 14.54.

The updated IQR is 14.54.

Learn more about the range here: https://brainly.com/question/4135956?referrer=searchResults

Answer:

I think that Dante is

D. 2c +3

hope this helps

Answer:

B

Step-by-step explanation:

Emily is three years older than Carla so

Emily = C + 3

Emily is 5 years older than Dante so

Dante is (C + 3) +5

which is C + 8

Answer:

3n-4= 44

3n=40

no u can solve

Answer:

17°

Step-by-step explanation:

3n - 5° + 90° + 44° = 180° { being linear pair }

3n + 129° = 180°

3n = 180° - 129°

3n = 51°

n = 51° / 3

n = 17°

Hope it will help :)

Answer: b(n)=10-4n for n >1

The function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

"It is a number sequence with a common difference between successive terms."

For given example,

Given arithmetic sequence: 6, 2, -2, -6, . . .

Here, 2 - 6 = -4

-2 - 2 = -4

-6 - (-2) = -4

This means, the common difference is d = -4

If n is a positive integer, then the function a(n) = 10 - 4n (n > 0) generates given sequence.

For n = 1

⇒ a(1) = 10 - 4(1)

⇒ a(1) = 6

For n = 2,

⇒ a(2) = 10 - 4(2)

⇒ a(2) = 2

For n = 3,

⇒ a(3) = 10 - 4(3)

⇒ a(3) = -2

For n = 4,

⇒ a(4) = 10 - 4(4)

⇒ a(3) = -6

Therefore, the function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

Learn more about an arithmetic sequence here:

https://brainly.com/question/10396151

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Answer:

it is because so you can evenly add it

Step-by-step explanation:

because it is easyer to add 5/10 + 2/10

than    5/10 + 1/5 isnt it?

Answer:

5.51 cm

Step-by-step explanation:

Answer:

X>9

Step-by-step explanation:

Move all terms not containing x to the right side

7x>63

divide each term by 7 and simplify

7x/7 >63/7

cancel the common factor of 7

x>63/7

divide 63 by 7 x>9

x>9

Answer:

B) AAS

Step-by-step explanation:

B) AAS

Answer:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Step-by-step explanation:

I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:

[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]

Sum rule tells us:

[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]

From this we get:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]

Don't forget to add the constant!

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Answer:

2

Step-by-step explanation:

You add i guess? Umm, seems pretty hard to explain such a simple question, lol

Answer:

2

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

(2³) (140/7)-32 =128

Answer:

128

Step-by-step explanation:

[2³ ×(140 ÷ 7)] - 32

[2³ ×( 20)] - 32

[8×(20)] - 32

[160] - 32

128