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LekaFEV [45]
3 years ago
5

John wants to magnify the image of a fire ant and a crab spider so they appear to be the same length. How many times their actua

l sizes would he need to magnify each image?
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
You would have to magnify the Fire Ant five times and the Crab Spider four times to get the answer
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SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)
andrew-mc [135]

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

<u>GIVEN :-</u>

  • ∠QPS = 180°
  • ∠QPR = 7x + 88
  • ∠RPS = 3x + 12

<u>TO FIND :-</u>

  1. Value of x
  2. Measure of ∠RPS

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

<u>PROCEDURE :-</u>

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

8 0
3 years ago
The sum of 5 consecutive numbers is -5. What is the largest out of the numbers?
xxTIMURxx [149]
We can say that x is the largest number.

So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5

Now solve for x:

x + x + x + x + x - 1 - 2 - 3 - 4 = -5

5x - 10 = -5

5x = 5

x = 1

So the largest number is 1.

Check: 1 + 0 + -1 + -2 + -3   =   -2 + -3   =   -5 so 1 is correct.
3 0
3 years ago
2 x - 3 / 5 = - 1 / 10
Fed [463]

Answer:

explain

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
( 3 x 2 ) ^ 4 x 3 ^ -3 / 2 ^ 3 x 3 =<br><br> Simplify the exponential expression
Korvikt [17]

Answer:

2

Step-by-step explanation:

\frac{(3*2)^4*3^{-3}}{2^3*3}

we start simplifying by removing the parenthesis

Multiply the exponents inside the the parenthesis

3^4  * 2^4

\frac{3^4*2^4*3^{-3}}{2^3*3}

Now we apply exponential property

a^m * a^n = a^ (m+n)

3^4 * 3^-3 = 3^ (4-3) = 3^1

3 or 3^1  are same

\frac{3^1*2^4}{2^3*3^1}

3^1 at the top and bottom so we cancel it out

\frac{2^4}{2^3}

we apply log property . a^m / a^n = a^m-n

Now subtract the exponents

2^(4-3) = 2^1 = 2



4 0
3 years ago
A plane rises from takeoff and flies at an angle of 90° with the horizontal runway when it has gained 400 feet find the distance
trasher [3.6K]

Answer:

2879ft

Step-by-step explanation:

The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle  

10

∘

.

We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :

6 0
3 years ago
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