What is the measure of DEF?

What is the inequality for 5(x+3)−8<17

butalik [34]

Answer:

x< 2

Step-by-step explanation:

We are given the inequality;

5(x+3)−8<17

First we take 8 to the other side;

5(x+3)<17 + 8, notice the sign changes like with an equation

Opening the brackets;

5x + 15 < 25

We then take 15 to the other side;

5x < 25 -15

5x < 10

x < 2

Thus, the solution of the inequality is x< 2

8 0

2 years ago

mridul jogs around a rectangular park of 100m by 80m at the rate of 9km per hour. how much time will he take in jogging 6 rounds

anyanavicka [17]

Answer:

14minutes

Step-by-step explanation:

first you need to find the distance which you must find the perimeter P=100+80+100+80

=360 so you multiple it by 6 to get

=2160meters

so you need to convert the meters to kilometers

which is 1000m =1km

what about 2160m you cross multiply

to get 2.16km.

so the distance represent D=2.16 km

and speed represent S=9km

now you need to find time represented by T

T=D/S

T=2.16km/9km/h

so the km cancels each other

you get 0.24h for this isn't the solution

you know that 1 hour= 60 minutes

 what about 0.24h you cross multiply

to get 14.4 so you round it off to get 14 minutes

3 0

2 years ago

Question: Find The Sum Of The Integers From -6 To 58 Of Ss. O 1,500 O 1,734 O 1,690 O 1,621

REY [17]

Answer:

The Sum Of The Integers From -6 To 58 is 1690.

Step-by-step explanation:

Given,

$a=-6$

$T_n=58$

We have to find out the sum of integers from -6 To 58.

Firstly we will find out the total number of terms that is 'n'.

Here $a_1=-6\ and\ a_2=-5$

$\therefore d=a_2-a_1=-5-(-6)=-5+6=1$

Now we use the formula of A.P.

$T_n=a+(n-1)d$

On substituting the values, we get;

$58=-6+(n-1)1\\\\n-1=58+6\\\\n-1=64\\\\n=64+1=65$

So there are 65 terms in between -6 To 58.

That means we have to find the sum of 65 terms in between -6 To 58.

Now we use the formula of Sum of n_terms.

$S_n=\frac{n}{2}(2a-(n-1)d)$

On substituting the values, we get;

$S_{65}=\frac{65}{2}(2\times-6+(65-1)1)\\\\S_{65}=\frac{65}{2}(-12+64)\\\\S_{65}=\frac{65}{2}\times52\\\\S_{65}=65\times26=1690$

Hence The Sum Of The Integers From -6 To 58 is 1690.

5 0

3 years ago

Last question I'm stuck on now.

Yanka [14]

Answer:

This is kind of late, but I hope I could help maybe for a later assignment or assesment.

The estimates of y have become increasingly more precise, with some of the earlier ones having a margin of error of more than 0.8

None of the estimates support newton's theory that y=0

Most of the estimate support Einstein, or at least have a margin of error that accounts for einstien.

4 0

3 years ago

If you borrow $100 for 3 years with an annual interest rate of 9% how much will you pay altogether.

arsen [322]

$100(1.09)^3=129.5029$ or $129.50

3 0

3 years ago

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