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Alenkasestr [34]

3 years ago

11

elena went bowling. elena's score in the first game was 127 she scored 16 more points in the second game than in the first game.

wwhat was her total score?

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

133

Step-by-step explanation:

127 + 16 = 133

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What is the distance between the zoo and the library?

KATRIN_1 [288]

The answer is as follow

sin60° = 400√3 / H1, implies H1= 400√3 / sin60° <span>
sin30° = </span>400√3 / H2, implies H2= 400√3 / sin30° <span>
and the if the distance is D,
so we can find D such that D= H2 - H1=</span>400√3 / sin30° - 400√3 / <span>sin60°
D= </span>400√3(1/sin30° - 1/ sin60°)=400√3(2-1.15)=338.11<span>√3</span>

3 0

3 years ago

What is 0.000000783 written in scientific notation?

fredd [130]

7.83 x 10^-7 (the *^* is where the power goes)

3 0

3 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago

Xavier, Yolanda and Sara shared some money. Yolanda received 40% more money than Xavier, and Zara received 60% of Yolanda's shar

leonid [27]

Answer:

Step-by-step explanation:

Xavier, Yolanda and Zara shared some money.

Let x represent Xavier's share

Let y represent Yolanda's share

Let z represent Zara's share.

Yolanda received 40% more money than Xavier. This means that

y = x + 40/100×x = x + 0.4x = 1.4x

Zara received 60% of Yolanda's share. This means that

z = 60/100× 1.4 = 0.6×1.4 = 0.84x

. If Zara received $1,176, then,

0.84x = 1176

x = 1176/0.84 = 1400

y = 1.4 × 1400 = $1960

z = 0.84 × 1400 = $1176

The sum of the money is

1400 + 1960 + 1176 = $4536

6 0

3 years ago

Pessoal oque eu vou colocar aqui não é uma questão é apenas uma dúvida que eu gostaria de tirar:

VARVARA [1.3K]

I don’t know your language

5 0

3 years ago