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hoa [83]
3 years ago
9

In the triangle shown, find the length of the hypotenuse.

Mathematics
1 answer:
Tasya [4]3 years ago
3 0
A^2+b^2=c^2
5^2+12^2=c^2
25+144=c^2
169=c^2
13=c
D is the answer
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Which of the following are properties of the circumcenter of a triangle? Check all that apply.
kakasveta [241]

Answer:

A) The circumcenter of a right triangle falls on the side opposite the right angle

B) The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides

D.) The circumcenter is equidistant from  (Apex)

Step-by-step explanation:

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3 years ago
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Please help, I I beg you please
Tatiana [17]

Answer:

<em>The volume of the cube is </em> \mathit{\frac{27}{z^3x^{9}}} <em>cu in.</em>

Step-by-step explanation:

<u>The Volume of a Cube</u>

Let's have a cube of side length a. The volume of the cube is:

V=a^3

The cube of the image has a side length of

\displaystyle a=\frac{3x^{-3}}{z}\ inches

Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:

\displaystyle a=\frac{3}{zx^{3}}\ inches

Now find the volume:

\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3

Applying the exponents:

\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3

\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3

The volume of the cube is \mathbf{\frac{27}{z^3x^{9}}} cu in.

8 0
3 years ago
A college surveys 300 graduates and finds 98 graduated with honors and 207 had one or both parents graduate from college. Of the
musickatia [10]

Answer:

20.43% probability that a randomly chosen graduate from these 300 graduated with honors given that neither parent graduated from college.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Graduated with honors:

98 students graduated with honors. Of those, 79 had at least one parent graduating from college. So 98 - 79 = 19 did not.

Of 300 students, 207 had one or both parents graduate from college. So 300 - 207 = 93 did not have at least one parent graduating.

Find the probability that a randomly chosen graduate from these 300 graduated with honors given that neither parent graduated from college.

Of the 93 with no graduated parent, 19 earned honors

19/93 = 0.2043

20.43% probability that a randomly chosen graduate from these 300 graduated with honors given that neither parent graduated from college.

4 0
3 years ago
El ancho de un rectángulo es 15 pies menos que
Karolina [17]

Answer:

II. Longitud, L = 70 metros.

I. Ancho = 55 metros.

Step-by-step explanation:

Deje que la longitud del rectángulo sea L.

Deje que el ancho del rectángulo sea W.

Dados los siguientes datos;

Perímetro del rectángulo = 250 m

Traduciendo el problema verbal a una expresión algebraica, tenemos;

W = L - 15

Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;

P = 2 (largo + ancho)

250 = 2 (L + L - 15)

250 = 2 (2L - 15)

250 = 4L - 30

4L = 250 + 30

4L = 280

L = 280/4

Longitud, L = 70 m

Para encontrar el ancho;

W = L - 15

W = 70 - 15

Ancho = 55 m

3 0
3 years ago
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