Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters.
The perimeter of the scale drawing is 7.25 or 11.875 or 14.5 or 47.5 centimeters.
The perimeter of the actual flag is 14.5 or 29 or 47.5 or 95 inches.

Answers

Answer 1

Answer: Given:
U.S Flag - rectangle in shape
scale of 0.5 cm = 1 in
length of the scale 2.5 cm
width of the scale 4.75 cm

perimeter of the scale = 2(L+W) = 2(2.5+4.75) = 2(7.25) = 14.5cm

perimeter of the actual flag is:
14.5cm * 1in/0.5cm = 29 inches.

Answer 2

Answer:

Answer:

Step-by-step explanation:

The first would be 14.5 centimeters

The second would be 29 inches

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What adds to 6 and multiplies to 20
The figures above are similar. Find the missing length. Show your work.

Find the surface area of the triangular prism???? Plz help meeeeeeee

Answers

9×11+12×11+(2×0.5×9×12)+11×15=

=99+132+108+165=504cm²

Vanessa ate 2 slices of cake. ishaan ate 1 slice. if there were 1 slice remaining and all the slices were the same size, what fraction of the cake was eaten?

Answers

Answer:

$(3)/(4)$ part of cake was eaten

Step-by-step explanation:

Given: Vanessa ate 2 slices of cake. ishaan ate 1 slice. there were 1 slice remaining.

To Find: If all the slices were the same size, what fraction of the cake was eaten.

Solution:

Slices of cake eaten by Vanessa = $2$

Slices of cake eaten by Ishan = $1$

Slices remaining = $1$

Total number of Slices = $\text{Slices of cake eaten by Vanessa}+\text{Slices of cake eaten by Ishan}+\text{Slices remaining}$

= $2+1+1$

= $4$

Total number of Slices Eaten = $\text{Slices of cake eaten by Vanessa}+\text{Slices of cake eaten by Ishan}$

= $2+1$

= $3$

Fraction of Slice eaten = $\frac{\text{Total number of slices eaten}}{\text{Total number of slice}}$

= $(3)/(4)$

Therefore the fraction of slice eaten is $(3)/(4)$

so 2 ate by Vanessa + 1 slice ate by Ishaan make 3 + 1 slice reaining so total was 4 slices
and from this result that was eaten 3 slices so this mean that this is a 3/4 part eaten

hope this will help you

Match each function with the expression representing its inverse function.1. y = x-4
2. g(x) = -0.5x
3. k(x) = x
4. p(x) = x + 4
5. h(x) = 4x
6. ƒ(x) = x/2

Choices:
2x
-2x
0.25x
x
x-4
x+4

Answers

1 = x+4
2 = 2x
3 = x
4 = x-4
5 = 0.25x
6 = -2x
hope this helps

1 = x+4

2 = 2x

3 = x

4 = x-4

5 = 0.25x

6 = -2x

George used the diagram below to help determine 30% of 60. Which expression could George have used?

Answers

Answer:

(3)(6)

Step-by-step explanation:

1st. Find the answer(60*30%=18)

2nd. Find the option that equals 18 which was (3)(6)

Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

Answer:

(3)(6)

Step-by-step explanation:

i did the test

Given: ∠LKM ≅ ∠JKM∠LMK ≅ ∠JMK

Prove: ∆LKM ≅ ∆JKM

Which method can you use to prove these triangles congruent?

the ASA Postulate

the SAS Postulate

the HL Theorem

the AAS Theorem

Answers

Answer: the ASA Postulate

Step-by-step explanation:

In the given picture , we have two triangles ∆LKM and ∆JKM , in which we have

$\angle{LKM}\cong\angle{JKM}\n\n\angle{LMK}\cong\angle{JMK}$

$\overline{KM}\cong\overline{KM}$ [common]

By using ASA congruence postulate , we have

∆LKM and ∆JKM

ASA congruence postulate tells that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are congruent.

Answer:

ASA

Step-by-step explanation:

Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.

Answers

For given functions f(x) and g(x) the composite function f(g(x)) is $f(g(x))=4x^4+22x^2+32$

What is function?

"It defines a relation between input values and output values."
"In function, for each input there is exactly one output."

What is composition of function?

"It is applying one function to the results of another."
"It is written is $\( f\circ g(x)=f(g(x))$ "
"First apply function f, then apply function g on the result of function f "

For given question,

We have been given two functions,

$f(x) = x^2 + x + 2,~g(x) = 2x^2 + 5.$

We need to find f(g(x))

This means we need to find composite function $\( f\circ g(x)=f(g(x))$

We have, $g(x) = 2x^2 + 5$

We find the value of f(x) for x = g(x)

$f(g(x))\n\n=f(2x^2 + 5)\n\n=(2x^2 + 5)^2 + (2x^2 + 5) + 2\n\n=[(2x^2)^2+2(2x^2)(5)+5^2]+2x^2+5+2\n\n=[4x^4+20x^2+25]+2x^2+7\n\n=4x^4+20x^2+2x^2+25+7\n\n=4x^4+22x^2+32$

Therefore, for given functions f(x) and g(x) the composite function f(g(x)) is $f(g(x))=4x^4+22x^2+32$

Learn more about compositefunction here:

brainly.com/question/20379727

#SPJ3

$f(g(x))=(2x^2+5)^2+2x^2+5+2\nf(g(x))=4x^4+20x^2+25+2x^2+7\nf(g(x))=4x^4+22x^2+32$

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