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3 years ago

Use complete sentences to describe the relationship that is determined by the Pythagorean theorem.

Mathematics

2 answers:

REY [17]3 years ago

7 0

The hypotenus square is equivalent to the sum of the square of base and perpendicular.

Rudik [331]3 years ago

6 0

Answer:

$Hypotenuse^2=Base^2+Perpendicular^2$

Step-by-step explanation:

The Pythagorean theorem states that:

In a right angled triangle, square of the hypotenuse is equal to the sum of square of the base and the perpendicular i.e.

$Hypotenuse^2=Base^2+Perpendicular^2$

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Gideon took an online math test consisting of 25

kondor19780726 [428]

Step-by-step explanation:

25 questions, 2 points each.

that means there were 25×2 = 50 points in total.

Gideon got 42 out of the 50.

100% = 50

1% = 100%/100 = 50/100 = 0.5

42 is how many % ? as many as 1% (0.5) fits into 42.

so,

42/0.5 = 42×2 = 84%

he scored 84%.

5 0

2 years ago

The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7

Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

$b'=\frac{2x}{2}=x$

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

$13^2=x^2+(x+7)^2$

Simplify the expression:

$169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120$

Use the quadratic formula, where:

$a=2\\b=14\\c=-120$

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

Then:

$x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}$

$x_1=5\\x_2=-12$

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

$b=2x=2(5)=10$

7 0

3 years ago

Terrence has 64 stamps. Of his stamps, 12 are from Europe and 1/4 are from Africa. The rest are from Asia. What fraction of his

Tamiku [17]

16 of his stamps are from Africa, since 1/4 of 64 is 16. If I subtract his 28 from Europe and Africa (16 plus 12 equals 28) from his original 64, I am left with 36 stamps. 36/64 is simplified to 9/16. So 9/16 of Terrence's stamps are from Asia.

4 0

3 years ago

(3 + 2) (5-v2)<br> Expand and simplify

Vadim26 [7]

Answer:

25−5v2

oof oof oof oof oof oof oof oof

7 0

2 years ago

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s

laiz [17]

Answer:

Step-by-step explanation:

|((experimental - theoretical) / theoretical)| x 100

5.5 - 5.62 / 5.62 = -.0213

|-.0213| = .0213

.0213 x 100 = 2.13

8 0

3 years ago