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3 years ago

The first triangle is an enlargement of the second.

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

large triangle:

base = 6.64 cm

hypotenuse = 8.31 cm

small triangle:

base = 4 cm

Step-by-step explanation:

large triangle:

tan 37 = 5/base

0.7536 = 5/base

base = 6.64 cm

using the Pythagorean theorem:

hypotenuse² = 5² + 6.64²

hypotenuse² = 25 = 44.02 = 69.02

hypotenuse = 8.31 cm

small triangle:

using the Pythagorean theorem:

base² = 5² - 3²

base² = 25 - 9 = 16

base = 4 cm

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Factor this equation 75k^2+30k=-3

Solnce55 [7]

Answer:

k=-1/5

Step-by-step explanation:

Factor and set each factor equal to zero.

Add 3 to both sides of the equation.

75k^2+30k+3=0

Factor 3 out of 75k^2+30k+3.

Factor using the perfect square rule.

Divide each term by 3 and simplify.

Set the 5k+1 equal to 0.

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3 years ago

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A seal went 15 below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger

anygoal [31]

Answer:

$2\times 15-6 = 24\ below\ sea\ level$

Step-by-step explanation:

Given that:

Distance traveled by seal to catch the fish = 15 below sea level

Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.

To find:

The expression to represent the position of the sea lion in the sea.

Solution:

If the distance traveled by seal is represented by $D$ then as per the question statement:

Twice of $D$ = $2\times D$

6 lesser than twice of $D$ = $2\times D$ - 6

Now, putting the value of $D$ = 15

Therefore, the expression to represent the sea lion's position w.r.to sea level.

$2\times 15-6\\ = 24\ below\ sea\ level$

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3 years ago

Which triangles can have two sides of the same lenghth

alisha [4.7K]

An isosceles triangle is a triangle with 2 congruent sides. The congruent sides are called legs and the third side is called the base. So if 2 sides of a triangle have the same length, then we say that the triangle is isosceles.

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a_sh-v [17]

Answer: P(not shaded sector) = 0.50

Step-by-step explanation:

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3 years ago

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IRISSAK [1]

Answer:

option D is right

...............

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3 years ago