A map uses the scale of 3/4 of an inch to represent 3 miles. If the actual distance between two cities is 25 miles, then what is the length on the map? Report your answer to the hundredths place. *

Answer:

- 13[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{54}[/tex]

[tex]\sqrt{54}[/tex]

= [tex]\sqrt{9(6)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]

= 3[tex]\sqrt{6}[/tex]

Then

2[tex]\sqrt{6}[/tex] - 5[tex]\sqrt{54}[/tex]

= 2[tex]\sqrt{6}[/tex] - 5 (3[tex]\sqrt{6}[/tex] )

= 2[tex]\sqrt{6}[/tex] - 15[tex]\sqrt{6}[/tex]

= - 13[tex]\sqrt{6}[/tex]

Given:

A square base pyramid with base length 6 cm and the slant height is 4 cm.

To find:

The lateral surface area of the given square pyramid.

Solution:

The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.

Area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of one triangle or one side of the given pyramid is:

[tex]A_1=\dfrac{1}{2}\times 6\times 4[/tex]

[tex]A_1=\dfrac{24}{2}[/tex]

[tex]A_1=12[/tex]

Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.

[tex]LA=4A_1[/tex]

[tex]LA=4(12)[/tex]

[tex]LA=48[/tex]

Therefore, the lateral surface area of the given square pyramid is 48 cm².

Answer: 48

Step-by-step explanation: 4*6/2, and the multiply by 4 for all of the sides

From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.

We know that : Area of a square is given by : Side x Side

Given : Side of the square = 3 cm

⇒  Area of the square = 3 x 3 = 9 cm²

We know that : Area of the triangle = 1/2 x Base x Height

From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm

⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²

Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles

⇒  Surface area of the pyramid = 9 cm² + 4(4.5) cm²

⇒  Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²

Answer : Surface area of the pyramid = 27 cm²

Answer:

(x + 7)^2 = 64

Step-by-step explanation:

x^2 + 23x – 19 = 9x - 4

x^2 + 23x - 9x = -4 + 19

x^2 + 14x = 15 = 0

Completing the square:

(x + 14/2)^2 - (14/2)^2 = 15

(x + 7)^2 - 49 = 15

(x + 7)^2 = 64

Answer:

40 :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

ggfvnjuygvvbnnjhyff ggrgbj

Answer: The answer Is C

Step-by-step explanation:

PLS GIVE ME BRAINLIEST

Answer:

14

Step-by-step explanation:

Answer:

The angles have measurements 36, 72, 108, 144, and 180.

Step-by-step explanation:

Pentagon has 5 sides and 5 angles.

The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.

3(180)=540 which is the sum of the angles in a pentagon.

So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.

We have the equation 1x+2x+3x+4x+5x=540 to solve.

15x=540

Divide 15 on both sides:

x=540/15

x=36

1x=36

2x=72

3x=108

4x=144

5x=180

The angles have measurements 36, 72, 108, 144, and 180.

Answer:

Your answer would 107.

Step-by-step explanation:

180 minus 73 equals 107.

:)

Answer:

11.25

Step-by-step explanation:

Since AB and CD  are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B.  Therefore the two triangles are similar by the AA postulate.  Now, the corresponding sides are in proportion

Since AE ↔ DE and AB ↔ CD

So, AE/CD = AB/CD

AE/5 = 9/4

AE = 9(5)/4

     = 45/4  = 11.25

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

---------------------

hope it helps...

[tex] \implies \sf{(x)(4x) = (4) \: (9)}[/tex]

[tex] \implies \sf{ \frac{4 {x}^{2} }{4} } = \frac{36}{4} [/tex]

[tex] \implies \sf{ \sqrt{ {x}^{2} } = \sqrt{9} }[/tex]

[tex] \sf \boxed {x = 3}[/tex]

Thank you

Hope it helps uh :)

Answer:

here are the coordinates to use to graph.

(0,6)

(4,5)

Step-by-step explanation:

put a dot on those coordinates, then draw a line to make the two points connect.

Answer:

I have a graphing calculator so i used that.

Step-by-step explanation:

Included is the graph (on 10 x 10 axis) and the table

hope this helps,

<3 Austen and Addie

Answer: C. Nasir was more successful because he had the greater measure of center.

Step-by-step explanation: Just did the assignment in Edugenuity

Answer:

Nasir was more successful because he had the greater measure of center.

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

8.68 × 10^8

Step-by-step explanation:

--------------------

Answer:

8.68x10^8

Step-by-step explanation:

move 8 times to the left

Weight is the gravitational force by which a massive object attracts on another object .

So,

f = m × g

where,

=》

[tex]f = 22 \times 1.6[/tex]

=》

[tex]35.2 \: \: newtons[/tex]

Answer:

[tex]35.2 \: is \: your \: answer[/tex]

I hope it helps

have a nice day

#Captainpower

Answer:

Part A) C

Part B) A

Step-by-step explanation:

For part B I solved for a (adults) which then I got 5

I will attach an image of my work for part b

sorry for the poor quality picture

The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).

Two or more expressions with an Equal sign is called as Equation.

Let a represent the number of adult tickets and c represent the number of children's tickets.

The total number of tickets purchased is 20, so we have:

a + c = 20

The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:

15a + 10c = 225

Therefore, the system of equations that represents the given scenario is:

a + c = 20

15a + 10c = 225

Now let us solve a and c values by using substitution method.

a=20-c

Now substitute in equation 15a + 10c = 225

15(20-c)+ 10c = 225

300 - 15c + 10c = 225

-5c = -75

c = 15

Substituting c = 15 into the first equation, we get:

a + 15 = 20

a = 5

Therefore, the system of equations that represents the given scenario is

a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

-12

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-6x = 72}\\\\\huge\text{\underline{\underline {DIVIDE -6 to BOTH SIDES}}}\\\\\large\dfrac{-6\mathsf{x}}{-6} = \dfrac{72}{-6}}\\\\\large\textsf{CANCEL out: }\large\dfrac{6}{6}\large\text{ because that gives you 1}\\\\\large\text{KEEP: }\large\dfrac{72}{-6}\large\text{ because that gives you the answer for x}\\\\\large\text{NEW EQUATION: x = }\large\dfrac{72}{-6}\\\\\large\text{SIMPLIFY ABOVE}\\\\\boxed{\boxed{\huge\textsf{Therefore, your answer is: x = -12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

60(3x5)

Step-by-step explanation:

Because if the monkey eats 60 bananas so far and he had 3 and ate 5 more that's how you get your equation

Answer:

It has been 20 days

Step-by-step explanation:

If the monkey eat three Bananas  a day if not including the five he ate today it would be 20 days

60 ÷ 3 = 20

Answer:

Explicit formula: a(n)=3n-6

Recursive formula: a(n)=-3+(n-1)3 <--

Step-by-step explanation:

a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3

Plug values into recursive formula:

a(n)=a1+(n-1)d

a(n)=-3+(n-1)3

Answer:

80

Step-by-step explanation:

Answer:

A equals 105 degrees, option 2

Step-by-step explanation:

7x + 5x gives 180. 7x and 5x lie on a line so they form a linear pair. Their sum equals 180 degrees:-

7x + 5x = 180

12x = 180

x = [tex]\frac{180}{12}[/tex]

x = 15

Since x is 15, we can find the lengths of 7x and 5x.

7x would be 7 x 15 = 105

5x would be 5 x 15 = 75

'A' is equal to 7x since they are vertically opposite angles.

Since 7x is 105 degrees, then A would be 105 degrees as well.

Answer:

Sorry i don't get this at all. what grade is this ?!!?!?!?

Step-by-step explanation: