In ΔBCD, the measure of ∠D=90°, BD = 13, DC = 84, and CB = 85. What is the value of the cosine of ∠C to the nearest hundredth?

Answer:

Step-by-step explanation:

If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:

[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:

[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.

[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get

[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:

[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is

[tex](-\frac{1}{3},-\frac{25}{3})[/tex]

Answer:

∠A

∠B

∠C

Step-by-step explanation:

Place the angles in order from largest (at the top) to smallest (at the bottom).

∠A

∠B

∠C

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, acute, obtuse, scalene and right angled triangle.

If two sides of a triangle are unequal, then the value of the angles opposite to these sides are unequal, and the greater angle is that which is opposite to the greater side.

BC > AC > AB

Therefore the angles opposite are proportional to this sides. Hence:

∠A > ∠B > ∠C

Responder:

7

Explicação passo a passo:

Obtemos o maior fator comum de ambas as frutas:

Apple = 60

Laranja = 24

Fatores de:

60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60

24 = 1, 2, 3, 4, 6, 12 e 24

O maior fator comum é 12

Por isso,

Número de malas necessárias para:

Maçãs = 60/12 = 5

Laranjas = 24/12 = 2

Total de sacos plásticos necessários = 5 + 2 = 7

Aswer:

c represnt the function hope it helps you make me brainlest pls

Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

[tex]AL=\frac{\theta}{360}*2 \pi r[/tex] and filling in:

[tex]8.73=\frac{\theta}{360}*(2)(3.14)(10)[/tex] which simplifies to

[tex]8.73=\frac{62.8\theta}{360}[/tex] which simplifies a bit more to

[tex]\frac{360(8.73)}{62.8}=\theta[/tex] so

[tex]\theta=50.04[/tex] degrees. That means that arc DE also measures 50.04 degrees.

Answer:

a) 140000

b) 1000000

c) 9000000

Step-by-step explanation:

a) 687x164

700 * 200 =140000

b) 476x2354

500*2000=1000000

c) 8612x1497

9000*1000=9000000

Answer:

(a, b)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).

Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)

Answer:

(3,2)

Step-by-step explanation:

If you look at the x-axis it 3 to the right and your y-axis is 2 up and so the pair is (x is first, y is second) so it (3,2).

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

Answer:

Jacket A costs 43$

Jacket B costs 55$

Step-by-step explanation:

According to the Question,

Therefore, Jacket A + Jacket B = 98

X-12+X = 98

2X = 110

X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .

#1 is a. 11.25

#2 is h. 375

#3 is B 82.50

1. 105 units²

2. 78 units²

Step-by-step explanation:

1.

Since the middle is a square, the base of all 4 triangles are equal.

Let x be the height of the triangles.

The height of the triangle can be defined as:

15 = 7 + x + x

15 = 7 + 2x

15 - 7 = 2x

x = 8/2

x = 4

Area = area of square + 4(area of triangle)

= (7 x 7) + 4(1/2(7)(4))

= 49 + 56

= 105 units²

2.

Area = area of triangle + area of rectangle

area of triangle = ½ x base x height

base = 4 + 4 + 4

= 12

height = 15 - 6

= 9

area of triangle = ½ x 12 x 9

= 54 units²

area of rectangle = 6 x 4

= 24 units²

Area = 54 + 24

= 78 units²

Answer:

D

Step-by-step explanation:

Answer:73825

Step-by-step explanation:

Shuts shield grid

Answer:

[tex]j=8[/tex]

Step-by-step explanation:

Special right triangles:

The sides of all 30-60-90 triangles are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side directly opposite to the 30 degree angle.

Since the base of the triangle is directly opposite to the 30 degree angle, the hypotenuse, j, must be equal to [tex]4\cdot 2=\boxed{8}[/tex]

Basic trig:

[tex]\sin 30^{\circ}=\frac{4}{j},\\j=\frac{4}{\sin 30^{\circ}}=\boxed{8}[/tex]

Answer:

y = mx + c ... linear graph

y = -2/3x - 4

the gradient is -2/3

Answer:

58.3

Cos(x) = adjacent / opposite

Cos(x) = 10/17

Sin(x) = 0.59

Sin-1(0.59) = 53.8

Answer:

458.55

Step-by-step explanation:

23 + 435 = 458

.45 + .1(0) = .55

458 + .55 = 458.55

.1 is .10 (Think of it as a 10)

Answer:

52.8

Step-by-step explanation:

We take the midpoint of the range as, x

Midpoint = (lower + upper) /2

Midpoint, x ___ Frequency, F

15 ___________ 7

45 __________27

75 __________12

105 __________4

The mean :

Σfx / Σf

= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)

= 2460 / 50

= 52.8

This question using the combinations concept, as the order in which the canned goods are displayed is not important. Thus, using the combinations formula, we get 8 ways, which are:

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 from a set of 8, so:

[tex]C_{8,7} = \frac{8!}{7!1!} = 8[/tex]

8 possible ways, in which each way we remove one of them, in the list given above.

A similar problem is found at https://brainly.com/question/23302762

Answer:

[tex]x=68[/tex]

Step-by-step explanation:

In the figure, we shown all four exterior angles of the polygon. The sum of the exterior angles of any polygon is equal to [tex]360^{\circ}[/tex].

Therefore, we have:

[tex]79+(x+10)+(x-1)+(2x)=360,\\79+x+10+x-1+2x=360,\\88+4x=360,\\4x=272,\\x=\boxed{68}[/tex]

Answer:

The blue pitcher

Step-by-step explanation:

2,800 ML= 2.8 liters

Answer:

I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs

Answer:

one solution (2.333, 9.6666)

Step-by-step explanation:

The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x

5x +-2 = 2x + 5                   Write the left with 1 sign

5x - 2 = 2x + 5                    Subtract 2x from both sides

2x          2x

3x - 2 = 5                            Add 2 to both sides

     2     2

3x = 7                                  Divide by 3

x = 7/3

x = 2 1/3

y = 5x - 2

y = 5(2 1/3) - 2

y = 11 2/3 - 2

y = 9 2/3

Answer:

2 is the base

Step-by-step explanation:

2^12

The 2 is the base and the 12 is the exponent

Answer: a = 7.5h + bn

Step-by-step explanation:

Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.

where,

a = total amount earned,

h= hours worked in one week,

n = number of bouquets she arranged

b= bonus amount for bouquets

Then, the formula that will help her determine how much she will make in a week will be:

a = (7.5 × h) + (b × n)

a = 7.5h + bn

The formula is a = 7.5h + bn.

Answer:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units