Dave, Kurt, and Chris buy 3 different shirts. In how many selections can they distribute the shirts equally among themselves?

Answer:

13

Step-by-step explanation:

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

Answer:

Hey there!

The answer is 25882325.

Hope this helps :)

Answer: im having the same problem

Step-by-step explanation:

Answer:

Height of the kite = 86.60 meter (Approx)

Step-by-step explanation:

The angle of elevation to see a kite from a stone lying to the ground is 60 degrees. If a thread is tied with a kite and a stone, then that thread is 100 meters long, find the height of the kite.

Given:

Length of thread = 100 meter

Angle of elevation = 60°

Find:

Height of the kite.

Computation:

Using trigonometry application:

Height of the kite / Length of thread = Sin 60°

Height of the kite / 100 = √3 / 2

Height of the kite = [√3 / 2]100

Height of the kite = 50√3

Height of the kite = 86.60 meter (Approx)

Answer:

4x+15=7x+2

15_2=7x_4x

13=3x

13/3=x

4.33=x

Answer:

[tex]\boxed{x=\frac{13}{3} }[/tex]

Step-by-step explanation:

Subtract both sides by 15 and 7x.

Then, divide both sides by -3.

[tex]4x+15=7x+2\\4x-7x=2-15\\-3x=-13\\\displaystyle x=\frac{13}{3}[/tex]

Answer: {Route2, Route3, Route4} (Total 3  outcomes)

Step-by-step explanation:

Given: There are 4 different routes from Ben's house back to their home in Garland.

Let Sample space for all outcomes: {Route1, Route2, Route3, Route4 }

Ben  chooses Route 1.

The possible outcomes of the routes taken by the family if Ben  chooses first:

{Route2, Route3, Route4}

Hence, the possible outcomes of the routes taken by the family if Ben  chooses first: {Route2, Route3, Route4} (Total 3 choices)

Answer:

h=3√3 cm

Step-by-step explanation:

An equilateral triangle has 3 Equal sides

The height of an equilateral triangle with side a =a√3/2

That is,

h=a√3/2

Where,

h=height of the equilateral triangle

a=side length

From the triangle given,

a=6cm

Therefore,

h=6√3/2

=3√3

h=3√3 cm

Answer:

Step-by-step explanation:

Hello,

[tex]8a(3x-2y)^2-12x +8y\\\\ = 8a(3x-2y)^2-4(3x-2y)\\\\ = (3x-2y)(8a(3x-2y)-4)\\\\=(3x-2)(24ax-16ay-4)[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-step explanation:

Please check ones more because this might be incorrect.

The area is in square meters...Let's change it

Square 48= 48*48 =2304

2304 divided by 4( 4 since the formula for the area of a sqaure is s*s and square has 4 sides)

2304 divided by 4 = 576

The formula for area of a square is S*S(side times side)

Let's apply the formula here.

so, 576 times 576

331776 square meters

Hope this is right and helps! :)

( This just my point of view. Please check this onces again)

Answer:

the answer is 64

Step-by-step explanation:

khan

Answer:

12 cm × 12 cm.

Step-by-step explanation:

It is given that a square tile has a piece broken off it with 7 cm². The area of the remaining rule is 137 cm².

Total area of square = 7 + 137 = 144 cm²    ...(1)

Area of a square is

[tex]Area=a^2[/tex]     ...(2)

where, a is side length of square.

From (1) and (2), we get

[tex]a^2=144[/tex]

Taking square root on both sides.

[tex]a=\sqrt{144}[/tex]

[tex]a=12\ cm[/tex]

Therefore, the dimensions of the original tile are 12 cm × 12 cm.

Answer:

[tex]p = \frac{1}{2}[/tex]

[tex]q = 5[/tex]

[tex]h^{-1}(h(3)) = 3[/tex]

Step-by-step explanation:

Given

[tex]h(x) = px - \frac{5}{2}[/tex]

[tex]h^{-1}(x) = q + 2x[/tex]

Solving for p and q

Replace h(x) with y in [tex]h(x) = px - \frac{5}{2}[/tex]

[tex]y = px - \frac{5}{2}[/tex]

Swap the position of y and d

[tex]x = py - \frac{5}{2}[/tex]

Make y the subject of formula

[tex]py = x + \frac{5}{2}[/tex]

Divide through by p

[tex]y = \frac{x}{p} + \frac{5}{2p}[/tex]

Now, we've solved for the inverse of h(x);

Replace y with [tex]h^{-1}(x)[/tex]

[tex]h^{-1}(x) = \frac{x}{p} + \frac{5}{2p}[/tex]

Compare this with [tex]h^{-1}(x) = q + 2x[/tex]

We have that

[tex]\frac{x}{p} + \frac{5}{2p} = q + 2x[/tex]

By direct comparison

[tex]\frac{x}{p} = 2x[/tex] --- Equation 1

[tex]\frac{5}{2p} = q[/tex]  --- Equation 2

Solving equation 1

[tex]\frac{x}{p} = 2x[/tex]

Divide both sides by x

[tex]\frac{1}{p} = 2[/tex]

Take inverse of both sides

[tex]p = \frac{1}{2}[/tex]

Substitute [tex]p = \frac{1}{2}[/tex] in equation 2

[tex]\frac{5}{2 * \frac{1}{2}} = q[/tex]

[tex]\frac{5}{1} = q[/tex]

[tex]5 = q[/tex]

[tex]q = 5[/tex]

Hence, the values of p and q are:[tex]p = \frac{1}{2}[/tex];  [tex]q = 5[/tex]

Solving for [tex]h^{-1}(h(3))[/tex]

First, we'll solve for h(3) using [tex]h(x) = px - \frac{5}{2}[/tex]

Substitute [tex]p = \frac{1}{2}[/tex];  and [tex]x = 3[/tex]

[tex]h(3) = \frac{1}{2} * 3 - \frac{5}{2}[/tex]  

[tex]h(3) = \frac{3}{2} - \frac{5}{2}[/tex]

[tex]h(3) = \frac{3 - 5}{2}[/tex]

[tex]h(3) = \frac{-2}{2}[/tex]

[tex]h(3) = -1[/tex]

So; [tex]h^{-1}(h(3))[/tex] becomes

[tex]h^{-1}(-1)[/tex]

Solving for [tex]h^{-1}(-1)[/tex] using [tex]h^{-1}(x) = q + 2x[/tex]

Substitute [tex]q = 5[/tex] and [tex]x = -1[/tex]

[tex]h^{-1}(x) = q + 2x[/tex] becomes

[tex]h^{-1}(-1) = 5 + 2 * -1[/tex]

[tex]h^{-1}(-1) = 5 - 2[/tex]

[tex]h^{-1}(-1) = 3[/tex]

Hence;

[tex]h^{-1}(h(3)) = 3[/tex]

Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Answer:

5

Step-by-step explanation:

5

Answer: -5/2 or 1/6

Step-by-step explanation:

I6n + 7I = 8

Therefore (6n + 7) = 8 or -8 because modulus means we're only getting it's absolute value, (it's positive value) meaning it could equal 8 or -8 before it's modulus'ed.

Therefore 6n + 7 = 8

or 6n + 7 = -8

Leaving us with:

6n = 1

6n = -15

So n = 1/6

or n = -5/2 (-2.5)

Answer:

n = 1/6                          n = -5/2

Step-by-step explanation:

|6n+7|=8

This has two solutions, one positive and one negative

6n+7 = 8  and 6n+7 = -8

Subtract 7 from each side

6n+7-7 = 8-7         6n+7-7 =-8-7

6n =1                        6n = -15

Divide by 6

6n/6 = 1/6                 6n/6 = -15/6

n = 1/6                          n = -5/2

Answer:

A. AB

Step-by-step explanation:

Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.

What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.

m < A = 59°

m < C = 57°

m < C = 180 - (59+57) (sum of angles in a triangle)

m < C = 64°

The smallest angle out of the three angles is angle C = 57°.

The side opposite it, is side AB.

Side AB is the shortest side of ∆ABC.

Therefore, AB should be parallel to the ground.

The

side

of the musical instrument that should be parallel to the ground if the

dimensions

are as given is side AB, which is option A.

Given that:

Jordon will play a

triangle

in his school’s music program.

When playing, the shortest side

is hanging down,

parallel

to the ground.

From the figure:

m∠A = 59°

m∠C = 57°

By the

angle sum

property,

m∠A + m∠B + m∠C = 180°

59° + m∠B + 57° = 180°

m∠B + 116° = 180°

m∠B = 180° - 116°

        = 64°

The

shortest side

will be the side that is opposite to the smallest angle.

So, the smallest side is the side opposite to C.

So, the side is AB.

Hence, the side is AB, which is option A.

Learn more about

Triangles

here :

https://brainly.com/question/2773823

#SPJ6

Answer:

200°

Step-by-step explanation:

<2 = 90° (right angle)

<3 = 70° (vertically opposite angles)

<4 + <3 = 180° ( angles on a straight line)

<4 + 70 = 180°

<4 = 180° - 70°

<4 = 110°

<2 + < 4

= 90 ° + 110° = 200°

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

Answer:

Original denominator=9

Step-by-step explanation:

A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to 1/2. If the original numerator was a 2, what was the original denominator.

Original Numerator=2

The new numerator after the addition of 5 will be 2+5=7

New Numerator=7

New denominator=x

Value of the fraction=1/2

The Fraction is written in the form:

7/x=1/2

Cross product

7*2=1*x

14=x

x=14

Therefore, the new denominator (x)=14

Check:

7/14=1/2

Original denominator before 5 was accidentally added

=14-5

=9

Step-by-step explanation:

Hello!!!

Given, VXW is a Right angled triangle where WV =4 and XV =5.

now, by taking reference angle as angle W, and using tangent we get;

p=5

b=4

again,

tan thita =p/b

tan thita = 5/4

so, tan thita =1.25.

now, to find angle W, we should do tan thita inverse;

or, (tan thita)-1= tan thita-1(1.25)

or, (tan thita) -1 =51.3401°.

Now, by rounding off we get,

tan thita (angle W )= 51°.

Hope it helps....

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

Answer:

The answer is option B.

Step-by-step explanation:

To find Angle A we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is 14

The hypotenuse is 26

So we have

cos A = 14/26

cos A = 7/13

A = cos-¹ 7/13

A = 57.42

Hope this helps you

Answer:

57 deg

Step-by-step explanation:

(see attached for reference)

we are given a right triangle together with the lengths of one side (= 14 units) and the hypotenuse (= 26 units)

Using the trigonometry formulas, we can find angle A

cos A = adjacent length / hypotenuse

cos A = 14 / 26

A = cos⁻¹ (14/26)    (use calculator)

A = 57.42 deg

A = 57 deg (rounded to nearest whole degree)

Answer:

B

Step-by-step explanation:

4 (x) + 2 (-1) = 2 (-x) + 6(1)

4x + -2 = -2x + 6

The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

From the given figure,

x+x+x+x+(-1-1)=(-x-x)+(1+1+1+1+1+1)

⇒ 4x-2=-2x+6

So, equation modeled as 4x-2=-2x+6

The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Answer:

0.897

Step-by-step explanation:

Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is

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

It involved only one solution.

The given equation is

[tex]3x^2+4x=6[/tex]

Here, a=3, b=4 and c=6. Put these values in the above formula.

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]

[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]

[tex]x\approx \dfrac{5.38}{6}[/tex]

[tex]x\approx 0.897[/tex]

Therefore, the required solution is 0.897.

Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

Answer:

Step-by-step explanation:

18/60-12/60= 4 miles

just my guess

Answer:

42 ducks remain in the pond

Step-by-step explanation:

First, find the number of white ducks

28*2=56

Add them to the brown ducks

56+28= 84

Then divide by 2 because half flew away

84/2=42

So 42 ducks remain in the pond. Hope this helps :)

Answer:

parallel lines have the same slope. so your new equation will be y = 7/3x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (7/3)(-9) + b

b. 4 = -21 + b

c. b = 4 +21

d. b = 25

your equation is y = 7/3x + 25

perpendicular lines have reciprocated slopes. so your new equation will be y = -3/7x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (-3/7)(-9) + b

b. 4 = (27/7) + b

c. b = 4 - (27/7)

i. (112/28) - (108/28) = 4/28

d. b = 1/7

your equation is y = -3/7x + 1/7

hope this helps :)

Answer:

D

Step-by-step explanation:

Find the x intercepts from the equation and apply them to the graphs. It matches up with D. Your thought is correct

Answer:

[tex]\boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

[tex]y= (x + 1)(x - 1)(x - 4)[/tex]

Let x = 0, find the y-intercept.

[tex]y= (0 + 1)(0 - 1)(0 - 4)[/tex]

[tex]y= ( 1)(- 1)(- 4)[/tex]

[tex]y=4[/tex]

The function crosses the y-axis at 4.

The only graph that shows this is graph D.