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Pavlova-9 [17]
4 years ago
6

A triangle has sides with lengths of 18 centimeters, 68 centimeters and 74 centimeters. Is it a right triangle?

Mathematics
1 answer:
Hoochie [10]4 years ago
5 0
18^2 + 68^2 =

= 324 + 4,624

= 4,948

74^2 = 5,476

4,848 is not equal to 5,476.

Since the sum of the squares of the lengths of the two shorter sides is not equal to the square of the length of the longest side, the triangle is not a right triangle.
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Doughnuts at one shop cost £1.40 each.
eduard

Given parameters:

Cost of doughnut at one shop = £1.40

Unknown

Difference in the cost of doughnuts at the two shops = ?

To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;

  Given that the cost of doughnut at the other shop is 20% more;

       = 1.20 x £1.4

       = £1.68

The difference in the cost of doughnuts  = £1.68 - £1.40 = £0.28

So the answer is £0.28

6 0
3 years ago
Y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.
Mamont248 [21]

Answer:

a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\

Step-by-step explanation:

y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\

8 0
3 years ago
Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle betwee
slamgirl [31]

Answer:

6 feets

Step-by-step explanation:

The triangle described in the question has been sketched in the picture attached below :

From the triangle, we could solve for X, which is the base of the triangle using trigonometry :

Sinθ = opposite / hypotenus

Sin 30° = x / 12

0.5 = x / 12

x = 12 * 0.5

x = 6 feets

Hence base, x = 6 feets

8 0
3 years ago
If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s
Oxana [17]
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
23miles + 110miles = 133miles
so, we use the midpoint formula to find our position
\frac{distance}{ 2}
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
|our \: position - distance \: of \: sign|

so we get
|66.5miles - 23miles|  = 43.5miles
to double check, use the sign's distance from Oakland.
|66.5miles - 110miles|  = 43.5miles
so, we are 43.5 miles from the sign!

hope this helps

7 0
3 years ago
Which property justifies the following equation?
Leviafan [203]
1. . D . Identity , when you odd both properties it will always to be true on both sides
5 0
3 years ago
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