A three-course meal includes an appetizer, a main course, and a dessert. A restaurant offers two kinds of appetizers, four kinds of main courses, and five kinds of dessert.How many different three-course meals can be made

Answer:

in simplified version   it would be x ≤-4

Step-by-step explanation:

multiply each term in x ≤-4 by -1

Angelica constructs a regular tetrahedron

The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

"It is a triangle that has all its sides equal in length and all angles are 60° in measure."

"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

"It is a triangular pyramid having congruent equilateral triangles for each of its faces."

[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron

For given question,

Angelica used four congruent equilateral triangles.

She constructs a regular tetrahedron using four congruent equilateral triangles.

The length of each edge of tetrahedron = side length of equilateral triangle

So, each edge of tetrahedron measures 14 inches.

Using the formula of area of the regular tetrahedron,

[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]

Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

Learn more about regular tetrahedron here:

https://brainly.com/question/17132878

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Answer:

672 square inches

Step-by-step explanation:

Given data

Height= 25inches

Lenght = 6 inches

Width= 6 inches

The expression for the area of the box is given as

TSA= 2 (lh + lw+ hw)

TSA= 2(6*25+ 6*6+ 25*6)

TSA=  2(150+ 36+150 )

TSA= 2*(336)

TSA= 672 square inches

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]12.835 - 4.25 \\ = 12.835 - 4.250 \\ = 8.585[/tex]

NOTE:-

⇻ You must subtract the smaller number from the bigger number.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

Option B

Step-by-step explanation:

Given function is,

f(x) = -|x - 4| + 6

By using a graphing tool we can get the graph of the given function.

From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.

Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].

Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].

Option B will be the correct option.

Slope:  

2

3

y-intercept: (0,−6)xy0−63−4

Answer:

Midpoint of AC = (-1, 1)

Midpoint of BC = (1, -2)

Length of the midsegment = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).

Midpoint of segment AC = [tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

                                         = [tex](\frac{0-2}{2},\frac{5-3}{2})[/tex]

                                         = (-1, 1)

Midpoint of BC = [tex](\frac{4-2}{2},\frac{-1-3}{2})[/tex]

                         = [tex](1,-2)[/tex]

Length of the mid segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                              = [tex]\sqrt{(-1-1)^2+(-2-1)^2}[/tex]

                                              = [tex]\sqrt{4+9}[/tex]

                                              = [tex]\sqrt{13}[/tex]

Answer:

35

Step-by-step explanation:

The 14 sweets Peter gets is 2 parts of the ratio, then

14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then

5 parts = 5 × 7 = 35 ← number of sweets Bridget gets

Answer:

36 ft

Step-by-step explanation:

Given :

We need to convert it into feets. We know that ,

[tex] \implies[/tex] 1 yard = 3 feet

[tex] \implies[/tex] 12 yards = 12 * 3 ft

[tex] \implies[/tex] 12 yards = 36 ft .

Hence the required answer is 36 feets .

Answer:

the formula for converting yards into feet: 1 yard is equal to 3 feet. Write out the necessary math problem or use a calculator. If you want to convert 21 yards, for example, the problem would be 21 multiplied by 3 (21 x 3). Finish the conversion.

SO,

12 yd 36.00 ft

Answer:

7.071

Step-by-step explanation:

Hope this helps

Answer:

The intercepted arc is twice the value of the inscribed angle. Since the intercepted arc is 110°, this means that the inscribed angle 1 is 55°.

Answer:

32%

Step-by-step explanation:

Percent means out of 100 so we need the denominator to be 100

8/25  * 4/4 = 32/100

The percent is the numerator since it is now out of 100

32%

Answer: 32%

Step-by-step explanation:

32%

Answer:

10

Step-by-step explanation:

3+3+2+2=10

Answer:

10

Step-by-step explanation:

count the squares!!

AD = 3

BC = 3

AB = 2

DC = 2

3+3+2+2=10

Answer:

Step-by-step explanation:

Given,

Length (l) = 2(7z + 3) = 14z + 6

Breadth (b) = 5z

Now,

Perimeter of rectangle (P) = 2(l + b)

                                           =2(14z + 6 + 5z)

                                           =2(19z + 6)

                                           =38z + 12

Answer:

B(x+2)^2+y^2=16

Step-by-step explanation:

since you have an x-coordinate only and it is negative and a y coordinate which is 0..basically x will appear positive with its conjecture x^2 and the y value will be independent...y^2...bare in Mind that radius is always squared hence it is 16 instead of 4

Answer:

Step-by-step explanation:

on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

We solve using the Trigonometric function of TANGENT

tan 28 = 150/x

Answer:

Girl i dont know im so sorry

Step-by-step explanation:

good luck on ur assignment tho xoxo

Answer:

13 x 15 = 195

the anwser for this is true

Answer:

I also think it's true because it mostly made sense to me.

Answer:

x = 71

Step-by-step explanation:

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = [tex]\frac{1}{2}[/tex] (92 + 50) = 0.5 × 142 = 71

Answer:

We know that the equation for the speed is:

Speed = Distance/time.

First, we know that he walks 2 miles in 15 minutes.

distance = 2miles

time = 15 minutes

Then his speed in that interval is:

Speed = (2 mi)/(15 min) = (2/15) miles per minute.

Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)

We use again the equation:

Speed = Distance/Time

But we isolate Time, to get:

Time = Distance/Speed

Where:

Distance = 5 miles

Speed = (2/15) miles per min

Time = (5 miles)/((2/15) miles per min) = 37.5 minutes

She needs 37.5 minutes to walk the 5 miles.

Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

Answer:

Step-by-step explanation:

fraction of pizza=5/2

host serves to each guest=1/5*5/2

=5/10

so no of serving that can be done with the remaining 21/2 pizza

5/10-1/5

5*1-1*2/10

5-2/10

3/10

Answer:C

Step-by-step explanation:

We can see that at 5 am it is at the lowest point.

Answer:

C 5am

Step-by-step explanation:

The temperature starts at midnight which is 35. But if you look at the bottom of the chart there is a 5am, 10am, 15(3pm). At 5am it went down to 30. And then went back up.

Answer:

i dont know how many balls there are

Answer:

Group A has greater variability in the data.

Step-by-step explanation:

We use elimination. Clearly, from the MAD, Group A has greater variability in the data.

So, choice 1.

Answer:

p(5) = 17

Step-by-step explanation:

p(x) = 4x - 3

p(5) = 4(5) - 3

     = 20 - 3

     = 17