In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.

Answer:

Step-by-step explanation:

At maximum height, the velocity of the flare will be zero.

If the flare height above the ground is modeled by the equation

h = -16t²+64t+4

Velocity = dh/dt = 0

-32t + 64 = 0

-32t = -64

t = -64/-32

t = 2secs

This shows that the flare reaches its maximum height after 2secs.

To get the maximum height of the flare, we will substitute t = 2s into the equation h = -16t²+64t+4

h = -16(2)² + 64(2)+4

h = -64+128+4

h = 64+4

h = 68 feet

The maximum height of the flare is 64 feet.

Answer:

Step-by-step explanation:

x < 12

Answer: slope is 1

y- intercept =5

x-0,1

y- 5,6

Step-by-step explanation:

This equation is written in y = mx + b form where the m represents

the slope of the line and the b represents the y-intercept.

The equation y = x + 5 can be thought of as [tex]y = \frac{1x}{1} + 5[/tex].

So we can see that our slope is 1.

Answer:  0π

Step-by-step explanation:

[tex]sin\bigg(\dfrac{3\pi}{2}+x\bigg)+sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\2sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-1\\\\\\\dfrac{3\pi}{2}+x\bigg=sin^{-1}(-1)\\\\\\\dfrac{3\pi}{2}+x=\dfrac{3\pi}{2}\\\\\\\large\boxed{x=0}[/tex]

I think the answer is D.

Answer:

12.25

Step-by-step explanation:

To find the c value in the equation, we need to divide b by two and then square it.

b= -7 and -7/2 is 3.5

Then we square 3.5 and we get 12.25

Answer:

(x+0)^2-7

Step-by-step explanation:

x^2-7 to complete the square use the formula (b/2)^2 in order to create a new term.

ax^2+bx+c in this case b=0

(x+0)^2-7

hope it works

Answer:

ssa

Step-by-step explanation:

Answer: SSA

SSA typically applies when there are two triangles

Answer:

yes, if AB ≅ DE

Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

Answer:

D). no, because the hypotenuses must have different lengths

Step-by-step explanation:

I just did the assignment on Edge and it's 100% correct.

Hope this helps!! Also heart and rate if you found this answer helpful!!  :)

Answer:

347

Step-by-step explanation:

2(3) + 210 = 216

2(3) + 125 = 131

216+131 = 347

Answer:

The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exercising. The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the. number of hours spent exercising.

Answer:

B - 13 and 15

Step-by-step explanation:

MARK AS YK... Pweeeez

Answer:

B

Step-by-step explanation:

To solve this, we just need to keep in mind the following:

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines. The angles across from each other are what we call vertical angles.

So, to find the congruent pair of angles, we just need to find a pair of vertical angles.

In the options given, the only option with a pair of vertical angles would be <13 and <15.

There are a few options that would be congruent if the line segments were parallel, but that is not a given.

Answer:

The correct answer is A. [tex](-11, -9)[/tex].

Step-by-step explanation:

Given that the point is (8,6)

Let this point be A(8,6).

The composition is T3,30 RO,-180º

First translate the point by 3,3.

Let this point becomes A'.

A' is formed by translation of point A by 3,3

i.e.

x coordinate of A' = x coordinate of A + 3 and

y coordinate of A' = y coordinate of A + 3

So, A' (8+3, 6+3)

So, A'(11,9)

Now, a rotation of -180º is applied to point A'.

Let it becomes A''.

By a rotation of -180º,  the coordinate gets changed by 2 quadrants.

A is in 1st quadrant because both x and y coordinates are positive.

A'' will be in 3rd quadrant where both x and y coordinates are negative.

Please refer to the attached image for the graphical representation of A, A' and A''.

So, the answer will be option A. [tex](-11, -9)[/tex].

We cannot simplify this further because 3 and 5 have no factors in common, other than 1. So we just leave it as is.

Answer:

6.1 square units

Step-by-step explanation:

Since the triangle was translated from one position to another position, the dimensions of the triangle have not changed. The pre-image and image are congruent.

area = base * height/2

The two sides forming a right angle can be used as the base and the height in the area formula.

BC = base = 2

AB = A'B' = height = 6.1

area = 2 * 6.1/2

area = 6.1 square units

Answer:

6

Step-by-step explanation:

Answer:2835

Step-by-step explanation:

Answer:

(4x+1)(x²-2)

Step-by-step explanation:

one way to determine the factors of 4x^3 + x^2 - 8x - 2 by grouping:

x²(4x+1)-2(4x+1)

(4x+1)(x²-2)

Answer:

(x^2-2)(4x+1)

Step-by-step explanation:

4x^3 + x^2 - 8x - 2

Group:

(4x^3 + x^2)+( - 8x - 2)

Factor out as much as possible: (The GCF)

x^2(4x+1)-2(4x+1)

Regroup:

(x^2-2)(4x+1)

Answer:

93.7%  of the lifetimes  are within 3.8  standard deviations of the mean  

Step-by-step explanation:

   Generally Chebyshev's Theorem, can be mathematically represented as  

   [tex]1 - \frac{1}{k^2}[/tex]%

The percentage  of these lifetimes that are within k=3.8 standard deviations of the mean is mathematically  evaluated using Chebyshev's Theorem as follows      

        [tex]1 - \frac{1}{k^2}[/tex]%  [tex]= (1 - \frac{1}{3.8^2} )[/tex]% =  [tex]= 93.07[/tex]%

So from the above calculation we see that 93.7%  of the lifetimes  are within 3.8  standard deviations of the mean  

Answer:

y = 3/2x + 3.

Step-by-step explanation:

With these two points, we can find the equation of line L.

y = mx + b

Slope: (5 --1) / (4 - 0) = 5 + 1 / 4 = 6 // 4 = 3/2

Intercept: [stated by the first pair of coordinates] (0, -1)

y = 3/2x - 1

Since the line is parallel to L, the slope is the same as line L.

y = 3/2x + b

The line passes through (-2, 0), so we can substitute the points into the equation and solve for b.

0 = 3/2 * -2 + b

b - 3 = 0

b = 3

So, the equation of the line which is parallel to L and passes through the point (-2, 0), is y = 3/2x + 3.

Hope this helps!

VOLUME=BASE*HEIGHT is the formula for volume of prism....

Answer:

3x= 2x+18

3x-2×=2×-2×+18

×=18

Answer:

18

Step-by-step explanation:

3x = 2x + 18

3x - 2x = 18

x = 18

Answer:

[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex] .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53  

Glazed donuts = 11  

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

[tex]P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}[/tex]

[tex]P(\text{Powdered sugar donut})=\dfrac{5}{75}[/tex]

[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex]

Therefore, [tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex].

Answer:

the range are all the value of y :{5,8,3,-4}

Step-by-step explanation:

the range are all the value of y :{5,8,3,-4}

Answer:

{−4, 3, 5, 8}

Step-by-step explanation:

i just took the test

Answer:

5 and 29

Step-by-step explanation:

If k= -2, l = 3, m = 4.

Then to solve

k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.

So for k + l + m :

k + l + m = -2 + 3 + 4 = -2 + 7 = 5

And for K^2 + l^2 + m^2:

K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29

Hope this helps

Answer:

  2x^2 -x +1 = 0

Step-by-step explanation:

For roots α and β, the original equation can be factored as ...

  f(x) = 2(x -α)(x -β)

If we add 1 to each of those roots, the factors become ...

  g(x) = 2(x -(α+1))(x -(β+1))

This can be rearranged to be ...

  g(x) = 2((x -1) -α)((x -1) -β)

That is, we can get the desired equation by replacing x with x-1, effectively shifting the function right one unit.

  2(x -1)² +3(x -1) +2 = 0

  2x^2 -x +1 = 0

Answer:

y = negative 2 (x minus one-half)

Step-by-step explanation:

The equation of a line is given as:

y = mx + c, where m is the slope and c is the intercept on the y axis.

The equation of a line going through (0, 1) and (1, - 1) is calculated using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ y-1=\frac{-1-1}{1-0}(x-0)\\ y-1=-2x\\y=-2x+1[/tex]

The solution of two lines is at their point of intersection. The equation of the line that would not have any solution with y = -2x + 1 would be a line that is parallel to y = -2x + 1. Since the two lines would be parallel to each other, their would be no intersection and therefore no solution.

Two lines are said to be parallel to each other if they have the same slope. The slope of y = -2x + 1 is gotten by comparing with y = mx + c, therefore the slope m = -2. From the options the only line with a slope m = -2 is y = -2(x -1/2). Therefore y = -2(x -1/2) is parallel to y = -2x + 1 and would have no solution

Answer:

b

Step-by-step explanation:

i did test

Answer:

Step-by-step explanation:

-2x + 3 = 0

-2x = -3

x = 3/2

-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3

= 9/4 + 3 + 3

= 9/4 + 6

= 33/4

Hope this helps

plz mark as brainliest!!!!!!

Answer:

Step-by-step explanation:

-2x + 3 = 0

-2x = -3

x = 3/2

-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3

= 9/4 + 3 + 3

= 9/4 + 6

= 33/4

or 8 1/4 as a mixed number

Answer:

picture is attached

Step-by-step explanation:

there are many options but this is one

Answer:

C

Step-by-step explanation:

A = [tex]\pi[/tex]r^2 h/3

A= 235.62

B = [tex]\pi[/tex]r^2 h

B = 235.62

They are equal

Answer:

Hey there!

Your answer would be 1/3 (12) hours.

Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.

Hope this helps :)

Answer:

1/3 * 12

4 hours

Step-by-step explanation:

We can use ratios to solve

1/12 tank          1 tank

---------------- = ----------------

1/3 hour          x hours

Using cross products

1/12 x = 1/3 *1

Multiply each side by 12

12 * 1/12 x = 1/3 * 12

x = 4

4 hours