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3 years ago

11

A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?

1 answer:

rusak2 [61]3 years ago

5 0

Answer:

C) 10 feet

Step-by-step explanation:

h² = 8² + 6² = 64 + 36 = 100

h = √100 = 10

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Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r

tia_tia [17]

Answer:

(a) Growth

$(b)\ y = 146(1.24)^x$

Step-by-step explanation:

Given

$a= 146$ -- current

$r = 24\%$ --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

$y = a(1 + r)^x$

Substitute: $a= 146$ and $r = 24\%$

$y = 146 * (1 + 24\%)^x$

$y = 146 * (1 + 0.24)^x$

$y = 146 * (1.24)^x$

$y = 146(1.24)^x$

5 0

3 years ago

HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x

mrs_skeptik [129]

Answer:

x=9

Step-by-step explanation:

17x - 12 = 114 + 3x

First Subtract 3x from both sides

14x - 12 = 114

Add 12 to both sides

14x=126

Divide by GCF (14)

x=9

Hope this helps! Plz award Brainliest : )

5 0

3 years ago

Read 2 more answers

A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqr

seraphim [82]

Answer:

a + b = 12

Step-by-step explanation:

Given

Quadrilateral;

Vertices of (0,1), (3,4) (4,3) and (3,0)

$Perimeter = a\sqrt{2} + b\sqrt{10}$

Required

$a + b$

Let the vertices be represented with A,B,C,D such as

A = (0,1); B = (3,4); C = (4,3) and D = (3,0)

To calculate the actual perimeter, we need to first calculate the distance between the points;

Such that:

AB represents distance between point A and B

BC represents distance between point B and C

CD represents distance between point C and D

DA represents distance between point D and A

Calculating AB

Here, we consider A = (0,1); B = (3,4);

Distance is calculated as;

$Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$(x_1,y_1) = A(0,1)$

$(x_2,y_2) = B(3,4)$

Substitute these values in the formula above

$Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}$

$AB = \sqrt{( - 3)^2 + (-3)^2}$

$AB = \sqrt{9+ 9}$

$AB = \sqrt{18}$

$AB = \sqrt{9*2}$

$AB = \sqrt{9}*\sqrt{2}$

$AB = 3\sqrt{2}$

Calculating BC

Here, we consider B = (3,4); C = (4,3)

Here,

$(x_1,y_1) = B (3,4)$

$(x_2,y_2) = C(4,3)$

Substitute these values in the formula above

$Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}$

$BC = \sqrt{(-1)^2 + (1)^2}$

$BC = \sqrt{1 + 1}$

$BC = \sqrt{2}$

Calculating CD

Here, we consider C = (4,3); D = (3,0)

Here,

$(x_1,y_1) = C(4,3)$

$(x_2,y_2) = D (3,0)$

Substitute these values in the formula above

$Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}$

$CD = \sqrt{(1)^2 + (3)^2}$

$CD = \sqrt{1 + 9}$

$CD = \sqrt{10}$

Lastly;

Calculating DA

Here, we consider C = (4,3); D = (3,0)

Here,

$(x_1,y_1) = D (3,0)$

$(x_2,y_2) = A (0,1)$

Substitute these values in the formula above

$Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}$

$DA = \sqrt{(3)^2 + (- 1)^2}$

$DA = \sqrt{9 + 1}$

$DA = \sqrt{10}$

The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral

$Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}$

$Perimeter = 4\sqrt{2} + 2\sqrt{10}$

Recall that

$Perimeter = a\sqrt{2} + b\sqrt{10}$

This implies that

$a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}$

By comparison

$a\sqrt{2} = 4\sqrt{2}$

Divide both sides by $\sqrt{2}$

$a = 4$

By comparison

$b\sqrt{10} = 2\sqrt{10}$

Divide both sides by $\sqrt{10}$

$b = 2$

Hence,

a + b = 2 + 10

a + b = 12

3 0

3 years ago

Which of the following represents the factorization of the trinomial below?<br> -3x2 – 18x2 – 24x

vazorg [7]

Answer:

-3x(7x+8)

Step-by-step explanation:

-3x^2-18x^2-24x

-3x(x+6x+8)

-3x(7x+8)

6 0

3 years ago

A 64 ounce of orange juice has 48 ounces of water. What percent of the bottle orange juice is water?

Vadim26 [7]

Answer:75%

Step-by-step explanation:

48 over 64 & x over 100

100•48 =4800/64= 75

3 0

3 years ago