What is the length of BC in the right triangle below?

What Is The Length Of BC In The Right Triangle Below?

Answers

Answer 1

Hey there! :)

Answer:

C. BC = 39 units.

Step-by-step explanation:

Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.

c² = a² + b²

c² = 15² + 36²

Square and simplify:

c² = 225 + 1296

c² = 1521

c = √1521

c = 39 units.

Therefore:

BC = 39 units.

Answer 2

Answer:

C. 39

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length

15² + 36² = C²      Simplify

225 + 1296 = C²   Add

1521 = C²              Take the square root of both sides

39 = C


Related Questions

Determine if the equation defines y as a function of x: y2 = x2. yes or no

Answers

Answer:

no it's not, since y has two functions , a positive and negative in terms of x.

What is the measure of circumscribed ∠X? 45° 50° 90° 95° please answer asap

Answers

Answer:

90°

Step-by-step explanation:

Data provided in the question

Angle V = right angle = 90°

YX and WX = tangents,

And YV and WV = radii

So, we can say that

Angle Y = 90°

And,

Angle  W = 90°

Now as we know that sum of four interior angles is 360°

So,

the equation is  

V + Y + W + X = 360°

90° + 90° + 90° + X = 360°

270° + X = 360

Therefore,

X = 360° - 270°

= 90°

Answer:

c. 90

Step-by-step explanation:

3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?

Answers

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

find a quadratic polynomial with the given numbers as the sum and product of it zeroes ⅔, -4​

Answers

Step-by-step explanation:

sum=2/3 and product=-4

x^2-(sum)x+(product)

x^2-2/3x+(-4)

x^2-2/3x-4

1/3(3x^2-2x-12)

the polynomial is 3x^2-2x-12

Answer:

I hope it is correct ✌️

A student is deriving the quadratic formula. Her first two steps are shown.

Step 1: –c = ax2 + bx

Step 2:

Which best explains or justifies Step 2?

division property of equality
factoring the binomial
completing the square
subtraction property of equality

Answers

Answer:

b

Step-by-step explanation:

i got it right

Answer: b

Step-by-step explanation:

its correct

in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x

Answers

Answer:

x = [tex]5\sqrt{2}[/tex].

Step-by-step explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]

[tex]x\sqrt{2}[/tex] = 10

x = [tex]\frac{10}{\sqrt{2} }[/tex]

x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]

x = [tex]\frac{10\sqrt{2} }{2}[/tex]

x = [tex]5\sqrt{2}[/tex]

Hope this helps!

Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction

Answers

Answer:

Starting with the smallest, we will have; D , C, A, B

Step-by-step explanation:

Given;

A = 3/4

B  = 5/6

C = 16/25

D = 9/15

Convert the fractions to decimal, to determine their sizes;

A = 3/4 = 0.75

B  = 5/6 = 0.833

C = 16/25 = 0.64

D = 9/15 = 0.6

From the decimal form of the fractions, it be observed that,

B > A > C > D

Starting with the smallest, we will have; D , C, A, B

Simplify the expression.

Write your answer without negative exponents.​

Answers

Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

What is the value of x?

Answers

Answer:

The answer is option C.

Step-by-step explanation:

Angles in a triangle add up to 180°

To find x add up all the angles in the triangle and subtract it from 180°

Thus

x + 95 + 57 = 180

x = 180 - 152

x = 28°

Hope this helps

Find the reduced row echelon form of the augmented matrix

Answers

Answer:

Top row: [1 0 0 1000]

Middle row: [0 1 0 300]

Bottom Row: [0 0 1 0]

Step-by-step explanation:

To put it in RREF form, you need to have only 1's in a diagonal and 0's both top and bottom of the 1's. To get to the forms, you need to multiply and add rows together to solve for RREF.

A 2.5L of coke was shared in the ratio 5:2:3. What is the least amount in milliliters?

Answers

Step-by-step explanation:

the least ratio is 2 and the total ratio is 10 therefore the least amount should be two divided by the total ratio multiplying the coke in milliliters (1L = 1000ml)

Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.

Answers

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1​

Answers

Answer: A

Step-by-step explanation:

help me with this
pls​

Answers

Answer:

reflection from the x-axis

Reflect over x axis hope this helped

Simplify: -(-x + 1) -x − 1 x − 1 -x + 1 x + 1

Answers

Answer:

x -1

Step-by-step explanation:

-(-x + 1)

Distribute the minus sign

- 1 * -x  + -1 (-x)

x -1

Steps to solve:

-(-x + 1)

~Distribute the negative sign

(- * -x) + (- * 1)

~Simplify

x - 1

Best of Luck!

Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me

Answers

Answer:

The equation of the line is

y = 2x + 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the gradient

c is the y intercept

From the question m is 2

Equation of the line using point (1,4) is

y - 4 = 2( x - 1)

y - 4 = 2x - 2

y = 2x - 2 + 4

y = 2x + 2

Hope this helps you

If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area

Answers

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]

(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.

Answers

Answer:

A is wrong

B is correct

C is correct

D is wrong

E is wrong

F is correct

Step-by-step explanation:

Here, we want to select the correct options about the sine function.

A. is wrong

Let’s use a case of 30 degrees angle

Sin(-30) = -0.5

Sin(30) = 0.5

B is correct

sin(-30) = -0.5

-sin(30) = -0.5

C. C is correct

Sine function is an odd function.

By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)

This is obtainable and clear about the sine function from earlier options

D. Is wrong

E. is wrong

F. is correct

The period of the sine function is 2 pi

The period of a function is the time distance between two peaks or crests

What is the product?

Answers

Answer:

B

Step-by-step explanation:

3•(-6)=-18

3•(-11)=-33

3•(-14)=-42

3•(-9)=-27

Answer:

B. [ -18 -33]

[ -42 -27]

you have to distribute the x3 to all four numbers in the matrix

Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice. By drawing a sample space, find the probability of the scores on the two dice adding to 11.

Answers

Answer:

1/18

Step-by-step explanation:

First list all the 2 answers that may add up to 11:

5 and 6

6 and 5

There are no more.

Next how many possible outcomes can se get?:

6 x 6 = 36

Thus, the probability = 2/36 = 1/18

The odds of the two dice's results adding up to 11 are 1/18.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice.

From the general formula of probability:

Probability = desired outcomes / total possible outcomes

in our case desired outcome =  scores on the two dice adding to 11

the desired outcome is getting 6, 5 and 5,6

thus desired outcome =  2

since the dice is 6-sided

total outcome = 6*6  = 36

probability = 2/36

Probability = 1/18

therefore, the probability of the scores on the two dice adding to 11 is 1/18.

Learn more about probability here:

https://brainly.com/question/30034780

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Which expression is equal to the expression below?
(7•2)7

Answers

Answer:

C. 7⁷ × 2⁷

Step-by-step explanation:

The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.

(7 × 2)⁷

7⁷ × 2⁷

Answer:

c. [tex]7^7[/tex]· [tex]2^7[/tex]

Step-by-step explanation:

please mark me brainliest!

TWO MINUTES HURRY HELP ME PLEASE

Answers

Answer:

x=-1

Step-by-step explanation:

Answer: x. = -1

Step-by-step explanation:

Find the smallest number which gives remainders 1, 2, 3, 4, and 5 when divided respectively by 2, 3, 4, 5, and 6.

Answers

Answer:

3 3 4 4 5

Step-by-step explanation:

Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.

Answers

Answer:

Perimeter of big rectangle = 38 units

Step-by-step explanation:

Let the sides of rectangle (1) = a and c cm

Sides of rectangle (2) = b and c cm

Sides of rectangle (3) = b and d cm

Sides of rectangle (4) = a and d cm

Perimeter of (1) = 2(length + width)

2(a + c) = 10

a + c = 5 ---------(1)

Perimeter of (2) = 2(b + c)

2(b + c) = 20

b + c = 10 -------(2)

Perimeter of (3) =2(b + d)

2(b + d) = 28

b + d = 14 --------(3)

Perimeter of (4) = 2(a + d)

2(a + d) = 18                      

a + d = 9 -------(4)

Since perimeter of the big rectangle = 2(a + b + c + d)

By adding equations (1) + (2) + (3) + (4),

(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9

2(a + b + c + d) = 38

Therefore, perimeter of the rectangle ABCD = 38 units

Help Me Please!!!!!!!!!!!!!!!!!!!!!!!>..

Answers

Answer:

The triangles are similar by SSS.

Step-by-step explanation:

We only have the sides of the triangles. Therefore, we can decide if the triangles are similar only by SSS.

If triangles are similar, then corresponding sides make proportion.

We have (let's set the sides in ascending order):

triangle 1: 30, 42 and 51

triangle 2: 10, 14 and 17.

Check:

30 : 10 =3

42 : 14 = 3

51 : 17 = 3

correct

Answer:

SSS

Step-by-step explanation:

[tex] \frac{51}{17} = 3 \\ \frac{30}{10} = 3 \\ \frac{42}{14} = 3 \\ hope \: this \: helps. \: good \: luck[/tex]

Peter deposited $5000 in a bank paying 5% interest compounded yearly. Find the balance in his account after 3 years.

Answers

Answer:

5750

Step-by-step explanation:

[tex]\frac{5}{100}[/tex]×5000=250

250×3=750

5000+750=5750


which equation represents a line that is parallel to the y axis, is perpendicular to the x-axts, and has an undefined slope?
o v = 2 + + 3

Answers

Answer:

x=7/2

Step-by-step explanation:

Answer:

X=7/2

Step-by-step explanation:

What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6

Answers

Answer:

the answer is (x+6)2-4

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

Learn more about the function visit:

brainly.com/question/11624077

#SPJ7

PLZ HELP ME PLZZZ I NEED HELP​

Answers

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

A = [tex]\frac{d*d'}{2}[/tex]       where d and d' are the diameters

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex]  A" = 729 cm²

Let a be the area of the single parallelogram

a = A"/4             since the parallelograms are congruent a = 729/4 a = 182.25 cm²

the area of a parallelogram is fiven by the formula :

A = b*h b is the base (here y/2) and h the height (here 18/9)

let's find y

a = [tex]\frac{y}{2}[/tex] * 9182.25*2 =  y*9 364.5 = y*9 y = 364.5/9 y = 40.5

An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.

Answers

Answer:

the first and fourth quadrants

Step-by-step explanation:

We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.

Let's first analyze time:

Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants

Second let's analyze the temperature:

The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.

If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.

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