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Liula [17]
3 years ago
11

Find the value of the missing leg in the figure below. Leave the answer in simplest radical form.

Mathematics
1 answer:
aev [14]3 years ago
4 0
The answer is A (6 √2) Because your formula ends up being 7^2 + x^2 = 11^2

7^2 + x^2 = 11^2
Becomes
49 + x = 121
So subtract 49 on both sides to get x by itself
x = 72
And Find the square root of x
72 = 6 √2
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A delivery truck is transporting boxes of two size: the combined weight of a large box and a small box is 65 pounds. The truck i
Bas_tet [7]

pretty much about the same as before.

a = weight of a large box

b = weight of a small box.

we know their combined weight is 65 lbs, thus a + b = 65.

we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.

\bf \begin{cases} a+b=65\\ \boxed{b}=65-a\\ \cline{1-1} 60a+55b=3775 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{60a+55\left( \boxed{65-a} \right)=3775} \\\\\\ 60a+3575-55a=3775\implies 5a+3575=3775\implies 5a=200 \\\\\\ a=\cfrac{200}{5}\implies \blacktriangleright a = 40 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=65-a\implies }b=65-40\implies \blacktriangleright b=25\blacktriangleleft

6 0
3 years ago
The distance between itahari and Damak is
Ludmilka [50]

Answer:

8 km by motorbike.

Step-by-step explanation:

The distance between itahari and Damak is  42 km.

Mr. Dhamala travelled 18.325 km by a  bus / 15.675 km by a taxi and the remaining distance by a motorbike.

Let he covered x distance by motorbike. So,

Remaining distance = Total distance -(distance covered by bus + distance by taxi)

= 42 -(18.325 +15.675 )

= 42-34

= 8 km

So, he travelled 8 km by motorbike.

8 0
2 years ago
100 is what percent of 250?
alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 250, so we can write it down as 100%=250.  

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.  

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x       - we multiply both sides of the equation by x

100=2.5*x       - we divide both sides of the equation by (2.5) to get x

100/2.5=x  

40=x  

x=40

now we have:  

100 is 40% of 250

6 0
3 years ago
Read 2 more answers
A cell phone that regular costs $780 is on sale for 15% off. What is the total cost of the phone if you have to pay 5.5% sales t
Alex_Xolod [135]

Answer:

$700

Step-by-step explanation:

Step one:

Given data

Regular cost of cell phone= $780

discount = 15%

tax = 5.5%

Step two

Let us compute the discounted amount

= 15/100*780

=0.15*780

=$117

hence the selling price is

=780-117

=$663

Also, the tax-deductible is

=5.5/100*663

=0.055*663

=$36.465

The total cost of the phone will be

=663+36.465

=699.465

=$700 to the nearest cent

8 0
3 years ago
Select all number that fall between 7 and 8
Aliun [14]

Answer:

7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9

Step-by-step explanation:

There is no whole number, but there are decimals that fall in between 7 and 8.

~theLocoCoco

6 0
3 years ago
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