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prisoha [69]
2 years ago
9

Help please

Mathematics
1 answer:
love history [14]2 years ago
3 0

Answer:

Tallahassee's Range: 6

Key West's Range: 4

Step-by-step explanation:

To calculate range, you'd subtract the lowest value from the highest value

Tallahassee:

Highest Value: 90

Lowest Value: 84

Range: 90 - 84 = 6

Key West:

Highest Value: 87

Lowest Value: 83

Range: 87 - 83 = 4

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- To make homemade window cleaner, Shivani combines vinegar and water in the ratio of 1:7 by volume. How
rewona [7]

V:W
1:7
1+7=8
1/8*45=5.625 ml of vinegar
8 0
2 years ago
A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
3 years ago
URGENT please help me with this !!!
marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × height, hence

V = \frac{1}{3} × 96 × 15 = 32 × 15 = 480

5 0
2 years ago
Need help can anyone help me???​
Paladinen [302]

Answer:

  it is greater than 45°

Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

  m∠GSO = (long arc GO -arc GT)/2

Solving for (long arc GO), we have ...

  2(m∠GSO) +arc GT = (long arc GO)

We know that (long arc GO) > 180°, so we can write ...

  2(m∠GSO) +90° > 180° . . . . arc GT = 90°

  2(m∠GSO) > 90° . . . . . . subtract 90°

  m∠GSO > 45° . . . . . . . . divide by 2

_____

<em>Alternate solution</em>

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

8 0
3 years ago
Find the area please and an explanation would be appreciated but its not demanded
lara [203]

Answer:

162

Step-by-step explanation:

just multiply 18x9

8 0
2 years ago
Read 2 more answers
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