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3 years ago

Which of the following is the area of a trapezoid whose dimensions are base one = 10 cm, base two = 5 cm, and height = 2 cm?

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

<u>The correct answer is D. 15 squared centimeters.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Base one = 10 centimeters

Base two = 5 centimeters

Height = 2 centimeters

2. Let's find out the area of the trapezoid, using the following formula:

Area = 1/2 (Base one + Base two) * Height

Replacing with real values:

Area = 1/2 (10 + 5) * 2

Area = 1/2 (15 * 2) = 1/2 (30)

Area = 15 centimeters ²

<u>The correct answer is D. 15 squared centimeters.</u>

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kompoz [17]

Answer: [911,∞)

Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since, Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So, $S+178+S\geq2000$

$\\\Rightarrow\ 2S\geq2000-178\\\Rightarrow2S\geq1822\\\Rightarrow\ S\geq911$

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3 years ago

Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that

Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

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3 years ago

Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees. Given right tria

mote1985 [20]

Answer:

The correct option is option (c).

$Sin \ P= \frac {RQ}{PQ}$

Step-by-step explanation:

Right angled triangle:

One angle must be 90° and other two angles are acute angle.
The hypotenuses is the longest side of the triangle and opposite right angle.
It follows the Pythagorean Theorem.

Given that,

∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°

we know that,

$sin \theta =\frac{Opposite }{Hypotenuse}$

for sin P , the opposite is QR.

The hypotenuse is PQ.

Therefore,

$Sin \ P= \frac {RQ}{PQ}$

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lbvjy [14]

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Answer:

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Step-by-step explanation:

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