Here are two rectangular prisms: K, L. K= 6, 4, 5. L=5,5,5 1. Which figure do you think has the longer diagonal. 2. Calculate the lengths of both diagonals. Which one is actually longer?

Answer:

8

24

3

yes

Step-by-step explanation:

the original area of the figure is  4 · 2 which equals 8.

Since the dilation that is needing to be done is by a scale factor of 3 then all we need to do is multiply the original area by 3, which gives us the new area 24.

So because the only transformation was a dilation that didn't significantly change the figure then we can say that both figures are similar.

Answer:

If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.

Step-by-step explanation:

Answer:

34.54 [tex]km^{3}[/tex]

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

= (1/3) π × [tex]3^{2}[/tex] × 3.7

= 11.1π

= 34.54 [tex]km^{3}[/tex]

Hence, the volume of the mountain is  34.54 [tex]km^{3}[/tex].

Answer:

5)Yes, ASA

6)Yes, SAS

Step-by-step explanation:

5) Two angles and one side are congruent

6) 1 angle and 1 side are given, and the middle side is Reflexive, so thats also congruent.

Answer:

1665/1996

(Me thinking i am smart TMT)

Step-by-step explanation:

Answer:

angles opposite each other where two lines cross

Step-by-step explanation:

Answer:

a = -3

Substitute...

3 (-3)^2

3 • (-3)(-3)

3 • 9 = 27

Answer:34

Step-by-step explanation:

Answer:

This will explain it

Step-by-step explanation:

To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.

Spent so far:

... 273.98 + 3×7.23 +42.36 = 338.03

Remaining available funds:

... 500.00 -338.03 = 161.97

The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.

Mr. Traeger can buy two (2) cycling outfits with the remaining money.

_____

The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.

Answer:

I think the answer is 7 or 4

Answer:

Amaya is wrong.

Step-by-step explanation:

The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.

Answer:

C(5,3)=10

Pictures 1,2,3,4,5

So the Possible sets are:

(1,2,3) (1,2,4)

(1,2,5) (1,3,4)

(1,3,5) (1,4,5)

(2,3,4) (2,3,5)

(2,4,5) (3,4,5)

The requried 10 possible sets of three photos can be selected from the group of five.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,

The number of sets of three photos that can be selected from a group of five photos is given by the combination formula:

C(5, 3) = 5! / (3! * 2!) = (5 * 4 * 3) / (3 * 2 * 1) = 10

Therefore, there are 10 possible sets of three photos that can be selected from the group of five.

The 10 possible combinations are:

{1, 2, 3}

{1, 2, 4}

{1, 2, 5}

{1, 3, 4}

{1, 3, 5}

{1, 4, 5}

{2, 3, 4}

{2, 3, 5}

{2, 4, 5}

{3, 4, 5}

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ3

Answer:

D. 5,322

Step-by-step explanation: 5280 feet in 1 mile, 42 feet in 14 yards

Answer:

D: 5,322

Step-by-step explanation:

There are 5280 feet in a mile and 42 feet in 14 yards add them and you get 5,322

Answer:

I think that the answer might be b

Answer:

the third one

Step-by-step explanation:

y=mx+b is the formula for a liniear equation and that follows it correctly simplified

Answer: Gary

Step-by-step explanation:

Only one triangle can be formed for any valid group of triangle lengths. The sides are a fixed length, and when joined, will have fixed internal angles. You cannot form the triangle with different angle sizes because the lengths are fixed. The orientation of the triangle may be different (the 14 ft fence is to the side in one drawing, or the top in another) but it is still the same triangle.

Answer:

I think gloria is right cause she is right, more than one mesurment is being used.

Step-by-step explanation:

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

it's an equilateral triangle, so all the angles will be equivalent.

2x + 2x + 2x = 180

6x = 180

x = 30°

Answer:

30

Step-by-step explanation:

So, the solve this, lets first find the type of traingle it is.

Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.

This means both the sides and angles will be the same.

Remember, there are 180 degrees in a triangle.

So we can think of it like this, since there are 3 angles, each being 2x:

6x=180 degrees

Now we can just get x alone by divide by 6:

x=30

So your answer is 30!

I hope this helps! :)

Answer:

isosceles but not equilateral is the type of given triangle.

???what is this?????????

Answer: it’s C 175 - 0.23(175)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

c and e

Step-by-step explanation:

Answer:

When measuring land size

Step-by-step explanation:

Answer: For a square or rectangular room, you will first need to measure the length and then the width of the room. Then multiply the length and width. Length x Width = Area. So, if your room measures 11 feet wide x 15 feet long, your total area will be 165 square feet.

Step-by-step explanation:

Answer:

x=-7 y=-2x²-4x-5

Step-by-step explanation:

Answer:

jgh

side side side axioms

not sure

Answer:

[tex]\triangle CAB\cong \triangle ONP[/tex]

Step-by-step explanation:

Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].

The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.

Answer:

[tex]\frac{3\pi}{4}\:\text{inches}[/tex]

Step-by-step explanation:

The length of an arc is a part of the circle's circumference.

The circumference of a circle is equal to [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, the circumference of the circle is [tex]2\pi(3)=6\pi[/tex].

Since there are 360 degrees in a circle, the length of a 45 degree arc is equal to [tex]\frac{45}{360}[/tex] of the circumference.

Thus, the length of the arc is equal to [tex]\frac{45}{360}\cdot6\pi =\boxed{\frac{3\pi}{4}\:\text{inches}}[/tex].

Answer:

14

Step-by-step explanation:

35 = 25%

35(4) = 100%

140 = 100%

140 x .10 = 10%

14 = 10%