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4 years ago

Anyone know how to work this out

Mathematics

1 answer:

Leona [35]4 years ago

4 0

Answer:

The perimeter is 70

Step-by-step explanation:

Isosceles means all sides same length. So to start out, you need to firgure out x so you can do let's say 3x-5=19x, or you can do 2x=19-x, or an combination pretty much. Once completing this, you find that x=14. Now all you have to do is plug 14 into all the x spots, and add everything together

Hope it helped :-)

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Please help, I need input on if I did this correctly and you just substitute.

kow [346]

The value of h(t) when $t=\frac{15}{32}$ is 10.02.

Solution:

Given function $h(t)=-16t^2+15t+6.5$

To find the value of h(t) when $t=\frac{15}{32}$ :

$h(t)=-16t^2+15t+6.5$

Substitute $t=\frac{15}{32}$ in the given function.

$$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5$

$$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5$

Now multiply the common terms into inside the bracket.

$$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5$

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

$$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5$

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

$$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}$

$$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}$

$$=\frac{-225+450+416}{64}$

$$=\frac{641}{64}$

= 10.02

$$h\left(\frac{15}{32} \right)=10.02$

Hence the value of h(t) when $t=\frac{15}{32}$ is 10.02.

8 0

3 years ago

Simplify the expression by combining like

viva [34]

Answer:

Below

Step-by-step explanation:

First we combine your first set of terms,

7b^2 + 2b^2 = 9b^2

There's a subtraction hidden in there!

9b^2 - 3b^2 = 6b^2

Next we do the same thing for the second term,

3b + 7b = 10b

but there's a subtraction in the expression!

10b - b = 9b

Then we finish with our third term

6 + 5 = 11

Answer:

6b^2 + 9b + 11

4 0

3 years ago

During a promotional weekend a state fair gives a free admission to every 175th Person who enters the fair on Saturday there wer

emmasim [6.3K]

Answer:

Step-by-step explanation:

If every 175th person gets free admission, that means

175th

175 * 2 = 350th

175 * 3 = 525th

person gets free admission and so on...

This basically means "how many 175s are there is 6742 (for first day) and 5487 (for 2nd day)?"

We would need to divide and see the WHOLE number, not the fractional(decimal) amount remaining. So

1st Day:

6742/175 = 38.53

This means 38 people will get free admission

2nd Day:

5487/175 = 31.35

This means 31 people will get free admission

In the 2 days, total of 38 + 31 = 69 people will get free admission

8 0

3 years ago

4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,

Bezzdna [24]

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

$\frac{180}{30}$ = 6

$\frac{180}{36}$ = 5

$\frac{180}{45}$ = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

5 0

4 years ago

Carter is solving for x by the process of completing the square for the following

Ksenya-84 [330]

Answer:

The number that goes in place of the question mark is 2.

Step-by-step explanation:

Let's solve it!

3x² + 12x - 24 = 0

First we can factor 3 out of each term:

x² + 4x - 8 = 0

Now we'll add 12 to both sides to complete the square:

x² + 4x + 4 = 12

And finish it off:

(x + 2)² = 12

So the answer to the question is 2

Bonus:

We can also now solve this for x:

(x + 2)² = 12

x = √12 - 2

x = 2√3 - 2

x ≈ 2 × ±1.732 - 2

x ≈ 1.464, -5.464

3 0

3 years ago