help!!!! What is the area of the triangle?

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:

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

Answer: Water: 120 gallons

Premium Antifreeze: 200 gallons

Step-by-step explanation:

Had to complete the question first.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Water: ____ gallons

Premium Antifreeze: _____ gallons

Solution:

Let w = amt of water required

An equation based on the the percent water, an 80% solution is 20% water

Multiply through

= 20% (320 - w) + w = 50% x ( 320)

64 - 0.2w + w = 160

Collecting like times

0.8w = 160 - 64

w = 96%

w = 120 gal of water to produce 320 gal of 50% antifreeze

320 - 120 = 200 gal of 80% solution

Water: 120 gallons

Premium Antifreeze: 200 gallons

Answer:

The mean number of students in a Statistics class = 25.47

The standard deviation of the number of students in a Statistics class = 1.081.

Step-by-step explanation:

We are given the following probability distribution for the number of students in statistics classes below;

     X                      P(X)                    [tex]X \times P(X)[/tex]                 [tex]X^{2} \times P(X)[/tex]

    23                     0.08                       1.84                          42.32

    24                     0.12                        2.88                         69.12

    25                     0.15                        3.75                         93.75

    26                     0.55                       14.3                          371.8

    27                    0.10                         2.7                          72.9      

  Total                    1                         25.47                      649.89  

The missing value against value 26 is calculated as;

       = 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55

The mean of the following data is given by;

          Mean,[tex]\mu[/tex]  =  [tex]\sum X \times P(X)[/tex]  = 25.47

The variance of the following data is given by;

         Variance,[tex]\sigma^{2}[/tex]  =  [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]

                          =  [tex]649.89 - (25.47)^{2}[/tex]

                          =  1.1691

Standard deviation =  [tex]\sqrt{1.1691}[/tex] = 1.081                

the answer is ur guy

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

Step-by-step explanation:

In my opinion the reason 4 is incorrect

Answer:

Step-by-step explanation:

step 4 suppose to be :Step 2: Multiply both sides by 2/3.

(2/3)*(3/2x)=(2/3)*(60)

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

Answer:

Step-by-step explanation:

Since you started at the origin of the plane, it would be obvious that your place would be 0.25 on the x-axis. The template for this would be (x,y) x- right and left. y- up and down. On the y-axis, the bug moved 0.25 DOWN to point A. That would be a negative since on the y-axis, it counts up to positives and down to negative. Similar to the x-axis, it counts right to positives, left to negatives. Hope this helped!

the answer is D. I did it on edge in the unit test review.

hope it helped

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

Answer:

1/2✖️7.8✖️6.3.

She needs to multiply 1/2 instead of dividing it by two.

Step-by-step explanation:

Triangle area: 1/2✖️base✖️height

Answer:

Eva multiplied by two, and not 1/2.

Step-by-step explanation:

To find the area of a triangle, you must multiply the base and the height by 1/2.

Height: 6.3cm

Base: 7.8cm

1/2×6.3×7.8= 24.57

Answer:

C

Step-by-step explanation:

Okay, here we have the equation of the sine wave as;

y = asin(k(x + b))

By definition a represents the amplitude

k represents the frequency

b represents the horizontal shift or phase shift

Now let’s take a look at the graph.

By definition, the amplitude is the distance from crest to trough. It is the maximum displacement

From this particular graph, amplitude is 4

K is the frequency and this is 1/period

The period ;

Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)

F = 1/T = 1/1/2 = 1/0.5 = 2

b is pi/4 ( phase is positive as it is increasing rightwards)

So the correct option here is C

Answer: it is

a=4, k=2, and b= pi/4

Step-by-step explanation:

got it right on A P E X

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008

Answer:

-3901 silver coins (a loss)

Step-by-step explanation:

Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.

Therefore:

The probability of not surviving the quest = 100%-85.4% =14.6%

Therefore, the expected value of this insurance policy to the insurance company

[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]

The expected value of this insurance policy to BIC is -3901 silver coins

The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins

So here the expected value is

= 85.4% of 5,533 + (14.6% of -59,086)

= -3901

Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Learn more about policy here: https://brainly.com/question/10189250

Answer:

  3x +2y = 0

Step-by-step explanation:

Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:

  3x +2y = 0

Answer:

The altitude is 4√3 units long

Step-by-step explanation:

Since the triangle is equilateral, all the sides will measure 8 units.

Now to find the altitude, we drop a line from the middle vertex to the horizontal line below and this splits the horizontal line into 2 equal parts which measures 4 units exactly.

Now we will be having 2 right-angled triangles, with the hypotenuse of each measuring 8 units and the other side measuring 4 units

Mathematically to find the altitude, we can solve using Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let’s call the altitude h;

8^2 = h^2 + 4^2

64 = h^2 + 16

h^2 = 64-16

h^2 = 48

h= √(48)

h = 4 √3 units

Answer:

THE ANSWER IS B

Step-by-step explanation:

Answer:

x= 40

Step-by-step explanation:

The sum of the angles in a triangle is 180

75+ 65+ unknown = 180

140 + unknown = 180

unknown = 180- 140

unknown = 40

unknown = x because they are vertical angles and vertical angles are equal

40 =x

Answer:

x = 40

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Let y be the missing angle.

75 + 65 + y = 180

y = 180 - 75 - 65

y = 40

Vertically opposite angles are equal.

x = y

x = 40

Answer:

c. Not enough information

1 pound = 16 ounces.

9 pounds of sand x 16 = 144 total ounces of sand.

144 ounces / 6 ounce bottle = 24

He made 24 bottles.

Answer:

24 bottles

Step-by-step explanation:

Trevor bought 9 pounds of sand

He fills 6-ounce bottles

First let's convert pounds to ounces:

Now, number of bottles required:

Answer:

Solution,

Let the length and breadth of smaller rectangle be l and b.

Length and breadth of larger rectangle be 3L and 3 b.

Besides, depth is same in both beds.

As area of small rectangle=180

Area of larger rectangle:

[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]

Hope this helps..

Good luck on your assignment..

Step-by-step explanation:

It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so

<KPL + <JPL = 180° [ Being linear pair ]

2x + 24 + 4x + 36 = 180

6x + 60 = 180

6x = 120

x = 120/ 6

Therefore x = 20

Now

x = 20

m<KPL = 2x + 24 = 2 * 20 + 24 = 64

m<JPL = 4x + 36 = 4 *20 + 36 = 116

Answer:I cStep-by-step explanation:

Answer: you will need approximately 23 grams

Step-by-step explanation: but thats approximately

Answer:

The equation representing the new path is;

[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]

Step-by-step explanation:

The equation of the first walking park across the park is y = -3·x - 3

By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3  is -3

The park's new walking path direction = Perpendicular to first walking path

A line perpendicular to a line of  (as example) y = m₁·x + c has a slope of -1/m

∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3

The point the paths will intersect = (-3, 6)

The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where:

y₂ and x₂ are coordinates of a point on the new walking path

y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path

Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6

Therefore, we have;

[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]

Which gives;

(y₂ - 6) × 3 = x₂ + 3

y₂ - 6 = (x₂ + 3)/3

y₂ = (x₂ + 3)/3 + 6  = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7

Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].

Answer:

D.

Step-by-step explanation:

The formula to find the solutions of a quadratic equation is -b plus or minus the square root of b^2 - 4ac divided by 2a. In this case, a = 2, b = 5, and c = -10.

[tex]\frac{-b +-\sqrt{b^2 - 4ac} }{2a}[/tex]

= [tex]\frac{-5 +-\sqrt{5^2 - 4*2*-10} }{2 * 2}[/tex]

So, the right answer should be the choice on the lower right corner.

Hope this helps!

Answer:

60

Step-by-step explanation:

Tangents to a circle from a common external point are congruent, thus

JA = JB = 6

AL = KC = 11

CK = KB = 13

Thus

perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60

The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.

A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.

Given that,

Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.

In the figure,

From the external point J, tangents JA=JB

JB=6

From the external point L, tangents AL=LC

LC=11

From the external point K, tangents KB=KC

BK=13

So, JL=JA+LA

JL=6+11=17

LK=LC+CK

= 11+13

= 24

JK=JB+KB

= 6+13

= 19

Now, the perimeter is JL+LK+JK

= 17+24+19

= 60 units

Therefore, option D is the correct answer.

Learn more about the tangent of a circle here:

https://brainly.com/question/27009841.

#SPJ3

Answer:

7 and 6

Step-by-step explanation:

The given expression is

=> [tex]\frac{7m}{9} + 6r - \frac{4}{5}[/tex]

Coefficients are the numbers with variables.

So, here in this expression the coefficients are 7 and 6

Answer:

D. 7/9 and 6

Step-by-step explanation:

Answer: 48 kilogramos de fruta

Step-by-step explanation:

Hola, para resolver este problema simplemente hay que sumar las cantidades de cada fruta:

Kilos de manzanas + kilos de mangos+ kilos de naranjas:

Matemáticamente hablando:

34+12+2 = 48 kg

Elena compro 48 kilogramos de fruta en total.

Si quedo alguna duda no dudes consultar con un comentario.

Answer:

2/9 * (-4 - 3) + 3

= 2/9 * (-7) + 3

= -14/9 + 3

= -14/9 + 27/9

= 13/9