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Snezhnost [94]
2 years ago
15

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Mathematics
2 answers:
marshall27 [118]2 years ago
7 0

Answer:7.6

Step-by-step explanation:

3*3+7*7=

9+49

58

c=7.61

7.6

gtnhenbr [62]2 years ago
6 0

Answer:

7.4

Step-by-step explanation:

c² = a²+ b²

c²  = 7²  + 3²

c² = 49 + 6

c²  = 55

c = 7.4

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kate buys 10 ticket to show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this
Over [174]

Answer:

35 = 5 + 10x

Step-by-step explanation:

x = the ticket price.

Each ticket was $3

hope this helps :)

5 0
3 years ago
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If 2×2=4 and 4×4=8. What is 8×8?​
Oxana [17]

Answer:

64

Step-by-step explanation:

7 0
2 years ago
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An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
A sofa is on sale for $703 which is 24% less than the regular price what is the regular price
Firdavs [7]

Hello!

We could write this as an equation below.

0.76x=703

We divide both sides by 0.76.

x=925

Therefore, the regular price is $925.

I hope this helps!

5 0
3 years ago
Read 2 more answers
A rectangle and a triangle with the same base and height have the same area.
OverLord2011 [107]
The answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.


for example the base and height of both is 3cm and 5cm.

area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared

then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm

so your answer is false
hope this helps....
5 0
3 years ago
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