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3 years ago

The lengths of three sides of a triangle are in the ratio 3: 5:

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

Answer:

3x=6. 5x=10. 6x=12

Step-by-step explanation:

the sides are 6,10,12.

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Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

RoseWind [281]

Answer:

$x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

Step-by-step explanation:

${x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

8 0

2 years ago

Its a word problem in algebra 1 that i need help on step by step ?

Luden [163]

Answer:

Cost of one rose bush = $2 and cost of 1 geranium = $11

Step-by-step explanation:

lets assume cost of one rose bush = $x

lets assume cost of one geranium = $y

Given that Norachai spent $13 on 1 rose and 1 geranium

⇒ 1 × (cost of one rose bush) + 1× (cost of one geranium) = 13

⇒ 1x + 1y = 13 ----------------------------equation 1

Also given that Castel spent $46 on 1 rose bush and 4 geraniums

⇒1 × (cost of one rose bush) + 4× (cost of one geranium) = 46

⇒ 1x + 4y = 46 ----------------------------equation 2

Now we are having following two equations which will be used to find the value of x and y

1x + 1y = 13 ----------------------------equation 1

1x + 4y = 46 ----------------------------equation 2

lets modify equation 1 to get value of y in terms of x and name that equation as equation 3

1x + 1y = 13 ----------------------------equation 1

⇒ y = 13 - x -----------------------------equation 3

On substituting value of y from equation 3 in equation 2 we get

1x + 4 × ( 13 - x ) = 46

⇒ x + 52-4x =46

⇒ -3x = 46-52

⇒ x = (-6)/(-3) = 2

on substituting calculated value of x that is 2 in equation 3 we get

y = 13 -2 = 11

so on solving the equations we get x = 2 and y = 11.

Hence cost of 1 rose bush = $x = $2 and cost of 1 geranium = $y = $11

8 0

3 years ago

Please help I don't understand. file uploaded.

IrinaK [193]

Answer:

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8 0

3 years ago

A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What

Temka [501]

Answer:

96 sq. cm.

Step-by-step explanation:

A "kite" has 2 diagonals, which are the "width" and "height" of the kite.

Using diagonals, the area of a kite is given by $A=\frac{pq}{2}$

Where

A is the area

p,q are the width and height, respectively

From the problem given, p is 12 and q is 16, so the area is:

$A=\frac{pq}{2}\\A=\frac{(12)(16)}{2}\\A=96$

Thus, the area is 96 sq. cm

5 0

3 years ago

Read 2 more answers

Help please quickly!!!!!!1

IgorLugansk [536]

Answer:

$9$

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; ( $a^2 + b^2 = c^2$ ), where ( $a$ ) and ( $b$ ) are the legs of the right triangle, or the sides adjacent to the right angle. ( $c$ ) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that ( $a$ ) represents the unknown leg (side).

$a^2 + b^2 = c^2\\\\a^2 + (\sqrt{19})^2 = (100)^2\\\\a^2 + 19 = 100$

Inverse operations,

$a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = \sqrt{81}\\\\a = 9$

8 0

3 years ago