A leg of a right triangle is 16 inches. The hypotenuse is 34 inches. How long is the other leg?

Answers

Answer 1

Answer:

hypotenuse ( c²) = a² + b²

- assume you're given the side a, find b:

b² = c² - a²

b² = (34)² - (16) ²

b² = 1156 - 256

b² = 900

b = √ 900

b = 30

therefore, the other leg is 30 inches.

Answer 2

Answer :

30 inches

Step-by-step explanation:

To determine one of the side lengths of a right triangle we can use the Pythagorean formula :

a² + b² = c²

→ Solution

b = 16 in

c = 34 in

a² + b² = c²

a² + 16² = 34²

a² + 256 = 1.156

a² = 1.156 - 256

a² = 900

a = 900

a = 30 in

____________________


Related Questions

The expression (x3)(x-17) is equivalent to x". What is the value of n?

Answers

Answer:

Hello how are you

n equals -14

Describe the transformation for g(x) = -f(x) - 5.

A. reflection over the x-axis and a vertical translation down by 5 units
B. reflection over the y-axis and a vertical translation up by 5 units
C. reflection over the x-axis and a horizontal translation to the right by 5 units
D. reflection over the y-axis and a horizontal translation to the left by 5 units

Answers

Answer:

A)  reflection over the x-axis and a vertical translation down by 5 units

Step-by-step explanation:

Making the output negative reflects the graph over the x-axissubtracting or adding a constant from/to the function translates it down/up (along the y-axis) by that many units

brainliest for best answer

Answers

Answer:

Slope = -5/8

Step-by-step explanation:

Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).

We are going to use the formula for finding the slope of a line now.

y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8

Slope = -5/8

I really need help Really

Answers

Answer:

920cm^2

Step-by-step explanation:

look at the attachment below hope it helps pls mark brainliest :)

Will mark brainlist please help

Answers

Answer:

Step-by-step explanation:

A shopkeeper sold a table for Rs 2400, he loses 6% of its cost price.find the cost price of the table.

Answers

Answer:

Table price  is Rs 2544

Step-by-step explanation:

Table sold =  Rs 2400

Losses = 6%

Now find  6% of 2400

     ( 2400 × 6 ) ÷ 100 =  144

Add this answer to table price sold

     2400+ 144 = 2544

Mark brainliest if you understand

find the value of x and give reasoning in the following image

Answers

Answer: 80

Step-by-step explanation:

Angle FGB = 80 degrees b/c supplementary angles.

By the sum of interior angles of a quadrilateral, angle FEB = 360 - 75 - 95 - 90 = 100 degrees.

x is supplementary with this angle and is this 180 - 100 = 80.

y-6≤=15+8y



pls dont report

Answers

Answer:

-4, -10, -2

Step-by-step explanation:

[tex]y-6\leq 15+8y\\-21\leq 7y\\y\geq -3\\[/tex]

so the answer is -4, -10, -2

Answer:

99.9% sure it's -4, -10, -2

Step-by-step explanation:

y−6≤15+8y

−21≤7y

y≥−3

so that be providing that you're gonna get

-4, -10, -2

What is the area of this trapezoid?



Enter your answer in the box.

units2

A rectangle with a length of 3 and a height of 8 has two right triangles on each side of it with short leg lengths of 7.

Answers

Answer:

80 squared units.

Step-by-step explanation:

7 × 8 = 56 u squared for the triangles

you don't need to divide by two because there are two triangles.

3 × 8 = 24 u squared for the rectangle

56 + 24 = 80 squared u

Brainliest Appreciated!

If a woman making $31,000 a year receives a cost-of-living increase of 2.6%, what will her new salary be?

Answers

answer: $31,806

explanation
31000:100=x:2.6
x= 806 (increase)
total: 31000+806= 31806

Determine whether the triangles are similar by AA, SSS, SAS, or not similar

Answers

Answer:

Step-by-step explanation:

If Δ JKL ~ Δ JHG , then

[tex]\frac{LJ}{GJ}[/tex] = [tex]\frac{KJ}{HJ}[/tex]

[tex]\frac{95}{68}[/tex] ≠ [tex]\frac{87}{72}[/tex] ⇒ triangles are not similar

If you open a bank account with a $200 starting balance and it earns 2.5% interest, compounded annually, how much interest will you earn in 10 years?

Answers

Answer:

  $56.02

Step-by-step explanation:

The account balance after 10 years is given by the future value formula:

  FV = P(1 +r)^t . . . . . principal P invested at rate r compounded annually for t years

  FV = $200(1 +0.025)^10 ≈ $256.02

The amount in excess of the original investment is the interest earned:

  $256.02 -200.00 = $56.02 . . . . interest earned in 10 years

Answer:

$256.02

Step-by-step explanation:

Here is the formula: 200(1.025)^10.

The .025 is the percentage of the interest, and the 1 is the money you already have (which is 200). The ^10 is the 10 years.

If you take the (1.025)^10, you'll get an incredibly large number, 1.2800....

Take that large number and multiply it by the amount of money you originally have, $200. Then you'll get something like 256.0169... Round to the near hundredth, and you'll have 256.02

Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.

f(x+h) =

f(x+h)-f(x) =

f(x+h)-f(x)/h =

f'(x) =

Answers

[tex]\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}[/tex]

[tex]\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill[/tex]

can anyone please help me please, i will give free brainliest

Answers

Answer:

1/2

Step-by-step explanation:

Yes, I agree.

Make a graph [tex]y=-\frac{4}{5}x+\frac{2}{5}[/tex]

The point of intersection of the line with x-axis is the solution of [tex]-\frac{4}{5}x+\frac{2}{5}=0[/tex]

Multiply by 5 on both sides, get -4x + 2 = 0, x = 2/4 = 1/2

The solution is 1/2.

167
4
3
2
1
-6 -5 -4 -3 -2
4
2
3
6
- 2
-1
slope =
- 2
-3
--
What is the slope

Answers

Answer:

5/2

Step-by-step explanation:

I used coordinate (-4, -2) and (-2, 3)

Slope=change in y/change in x

-2-3=-5

-4-(-2)=-2

-5/-2=5/2

Answer:

[tex]\frac{-5}{-2}[/tex] or 2.5

Step-by-step explanation:

(-2,3) and (-4,-2)

[tex]\frac{-2-3}{-4-(-2)}[/tex] ==> [tex]\frac{-5}{-2}[/tex] ==> 2.5

Hope that helps!

In the figure below, AD and EC intersect at point G, mAGB= 31°, and mAGE equal 71°

Answers

Answer: A

Step-by-step explanation:

Because angle EGC is as straight angel, angle BGC = 180 - 31 - 71 = 78

7(-4x - 1) = 49

Not sure of steps

Answers

Answer:

Step-by-step explanation:

7(-4x - 1) = 49

-28x - 7 =49

-28x = 49 + 7 = 56

x = 56/(-28) = -2

Answer:

7 x - 4x = - 28x

7 x - 1 = - 7

-28x - 7 = 49

+7 both sides

-28x = 56

÷ - 28

x = 56/-28

x = - 2

I substitute to double check my answer:

- 4x

-4x-2 =8

7(8- 1)

7x 8 = 56

7 x - 1 = - 7

56-7= 49

Hope this helps!

Please help solve these two equations

Answers

Answer:

5. (x,y) = (2.3)

Step-by-step explanation:

1/2x + 2 = x+1

x = 2

y = 2+1

y = 3

(x,y) + (2,3)

{3 = 1/2 x 2 + 2

{3 = 2 + 1

{3 = 3

{3 = 3

Answer:

  3. no solution

  5. (x, y) = (2, 3)

Step-by-step explanation:

3.

  -5x +y = 1

  -10x +2y = -2

Multiply the first equation by -2 and add the second equation:

  -2(-5x +y) +(-10x +2y) = -2(1) +(-2)

  10x -2y -10x +2y = -2 -2 . . . . eliminate parentheses

  0 = -4 . . . . . . . . . no variable values will make this true: NO SOLUTION

(The lines graph as parallel lines.)

__

5.

  y = 1/2x +2

  y = x +1

Subtract the first equation from the second:

  (y) -(y) = (x +1) -(1/2x +2)

  0 = 1/2x -1

  0 = x -2

  2 = x

  y = x +1 = 2 +1 = 3 . . . . use the second equation to find y

The solution is (x, y) = (2, 3).

Graph the following equation y+2=3/5(x+3)

Answers

Answer:

Step-by-step explanation:

It is given

2x−3y=5

we can write it as

3y=2x−5

So we get

y=32x−5​

Substituting x=4 in the given equation

y=32(4)−5​

So we get

Y=38−5​

y=33​

By division we get

y=1

Substituting x=−2 in the given equation

y=32(−2)−5​

So we get

y=3−4−5​

y=3−9​

By division we get

y=−3

x 4       -2

y      1        -3

Now draw a graph using the points (4,1) and (−2,3)

Join the point through a line and find the value of y

(i) Based on the graph

consider x=4 on X-axis

Now the line joining the two points and a point on the Y-axis gives the value of y

Therefore,when x=4 the value of y=1

(ii) Based on the graph,

Consider y=3 on Y-axis

Now the line joining the two points and a point on the X-axis the value of x

Therefore, when y=3 the value of x=7

Help me find the equation of the line. Whoever answers will get Brainliest. (SERIOUS ANSWERS ONLY)

Answers

Answer:

Y= 9/10x - 1.2 (or 1.3)

Or - 1. 2 is 6/5

Thus, Y= 9/10x - 6/5

Hope this helps!


Find the surface area of this rectangular prism. Be sure
2 cm
2 cm
9 cm

Answers

Answer: 80 cm^3

Step-by-step explanation:

I assume you mean that the sides of the rectangular prism are of lengths 2cm, 2cm, and 9 cm.

Surface area of a rectangular prism: 2(wl+hl+hw)

 2((2*2)+(9*2)+(9*2))

=2(4+18+18)

=2(40)

=80cm^3

Hope this helped.

Evaluate 2( s + t )^3 - 6 when s = 3 and t = 2 The value of the expression is

Answers

Answer:

244

Step-by-step explanation:

True or false analysis only involves identifying meaning and subject and predicate terms

Answers

Answer:

i would say the answer is true but I'm not completely sure this is the answer.

Answer:

TRUE

Step-by-step explanation:

Find the inverse of the matrix [7, -3] [-10, 7] if it exists

Answers

Answer:

A

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}\frac{7}{19} &\frac{3}{19}\\\frac{10}{19} &\frac{7}{19} \end{array}\right][/tex]

Consider the following expression and determine which statements are true.
\dfrac{7}{r}+2^3+\dfrac{s}{3}+11
r
7

+2
3
+
3
s

+11start fraction, 7, divided by, r, end fraction, plus, 2, cubed, plus, start fraction, s, divided by, 3, end fraction, plus, 11
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
The entire expression is a sum.

(Choice B)
B
The coefficient of sss is 333.

(Choice C)
C
The term \dfrac{7}{r}
r
7

start fraction, 7, divided by, r, end fraction is a quotient.

(Choice D)
D
The term 2^32
3
2, cubed has a variable.

Answers

Answer:

write the question properly-_-

Answer:

The answer is A&C

Step-by-step explana

Use the following equation.
2C2H6 + 7O2 --> 4CO2 + 6H2O

- How many moles of O2 will be needed to produce 26.14 moles of H2O?

Answers

Answer:

1 mole of Oxygen and two moles of Hydrogen

Step-by-step explanation:

The mass of oxygen equal to one mole of oxygen is 15.998 grams and the mass of one mole of hydrogen is 1.008 g.

differentiate between factors and prime factors use relavant examples in your explanations?​

Answers

Answer:

The factors of a number are all of the numbers that will divide into that number with no remainder. The prime factors of a number are the prime numbers that must be multiplied together to give the number. For example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.

A ​$290 suit is marked down by 30​%. Find the sale price.

Answers

Answer:

I believe the new price is 203.

Step-by-step explanation:

HELPP 100 points
What is the value of the function y = 3x – 1 when x = 12
0 -8
0-4
O 2
o 6

Answers

Answer:

The answer is B -4

Step-by-step explanation:

Answer:

y=

Step-by-step explanation:

y = 3x - 1

y = 3(12) - 1

y = 36 - 1

y = 35

5 x 4\9 can you tell me the way to get the answer

Answers

Answer:

[tex]\frac{20}{9}[/tex] as an improper fraction or [tex]1\frac{2}{9}[/tex] as a mixed number

Step-by-step explanation:

[tex]5*\frac{4}{9}\\ \\\frac{5}{1}*\frac{4}{9}\\ \\\frac{5*4}{1*9}\\\\\frac{20}{9}\\ \\1\frac{2}{9}[/tex]

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