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Leno4ka [110]
3 years ago
8

 Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the

squares of the last 2 numbers.
Mathematics
1 answer:
Sloan [31]3 years ago
8 0
So... our numbers... let's say the first one is hmmm "a"
so the second and subsequent are
a
a+1
a+2
a+3
a+4

there, 5 consecutive whole numbers or integers for that matter

now, we know the sum of the square of the first three,
is the same as the sum of the square of the last two

so \bf \begin{cases}
a\\
a+1\\
a+2\\
\textendash\textendash\textendash\textendash\\
a+3\\
a+4
\end{cases}\qquad (a)^2+(a+1)^2+(a+2)^2=(a+3)^2+(a+4)^2

do a binomial theorem expansion on those, solve for "a"
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Solve for x pls. help
marta [7]

Answer:

the answer is 82

Step-by-step explanation:

here,

x°+57°+41°=180° ( sum of interior angle of a triangle)

or, x°+ 98°= 180°

or, x°=180°-98°

or, X°=82.

can u give me brailest

6 0
3 years ago
Will give brainliest, please help
Rus_ich [418]

Answer:

C

Step-by-step explanation:

A triangle always consists of it being 180 degrees. The box on the triangle on angle A depicts that it is a right angle, 90 degrees. And since Angle B is given at 45, angle C must be 45 degrees as well, since 180-45-90 (triangle angles=given angles for A and B) equal up to 45. When the angles beside the right angle is both identical and the same, the sides that correspond with that triangle is also the same. AC is given at 9 feet, and since Angle C and B both have the same angles, AB must ALSO be a 9ft.

Now, since we know the two sides, it is very easy to find BC, or the hypotenuse of the triangle, using the Pythagorean Theorem: a^{2} +b^{2} =c^{2}, where a and b are sides, and c is the hypotenuse (or the long end) of a right triangle.

We can plug both 9s in for a and b since they're both the same, and it should equal to

9^2+9^2=c^2.

9^2 is 9*9, and that is 81. We have two of these so add them together to find 162. Since c^2 is equal to 162, we would need to square root both sides so we can find a number that equals c.

\sqrt{162} =c

We can either plug this into a calculator, and we should get something around 12.72, and that would be the same as C if you plug that value into a calculator.

You can also simplify the radical if you know how to. 162 is 81 times 2 (example) and 81 is 9*9, so we can add that to the outside and 2 is still under the radical. But this would only make sense if you know how to do that.

6 0
3 years ago
Which equation is equivalent to <br> X/ +11 = 15
Lady bird [3.3K]
√x + 11=15 x=16
√x= 15-11 x=16
7 0
3 years ago
Find the slope: x + 7y = 21​
Aleksandr [31]

Answer:  1/7

Step-by-step explanation:

solve for y

7 0
3 years ago
A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The heigh
jek_recluse [69]
First of all there are multiple formula's to get the volume of a trapezoidal prism:

V=(1/2 * (base1 + base2) * h) * height prism

Using the numbers you gave: 
base1 = 7     base2 = 5     h = 4     height prism = 8

Putting this into the equation:  V=(1/2 * (7 <span>+ 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192

The volume of the gift box is 191 inches squared.</span>
6 0
3 years ago
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