All categories

2 years ago

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all

Mathematics

1 answer:

Sveta_85 [38]2 years ago

7 0

Answer:

Step-by-step explanation:

there are a possible 6 combinations for a sum of 7:

1,6

6,1

2,5

5,2

3,4

4,3

so we can create this proportion:

7/36 = n/216

n = # times to roll a sum of 7 out of 216

now cross-multiply:

36n = 1512

n = 1512/36

n = 42

You might be interested in

A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far

ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

$\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}$ (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

$(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})$ (1b)

Where:

$x, y$ - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

$r_{1}, r_{2}$ - Length of each vector, in kilometers.

$\theta_{1}, \theta_{2}$ - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that $r_{1} = 42\,km$ , $r_{2} = 28\,km$ , $\theta_{1} = 32^{\circ}$ and $\theta_{2} = 154^{\circ}$ , then the resulting coordinates of the final position of the surveyor is:

$(x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})$

$(x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km]$

$(x,y) = (10.452, 34.531)\,[km]$

According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:

$\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}$

$\theta \approx 16.840^{\circ}$

And the distance from the camp is calculated by the Pythagorean Theorem:

$r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}$

$r = 36.078\,km$

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

5 0

3 years ago

How would the following triangle be classified?

Anna [14]

Answer:

hope this helpful

Step-by-step explanation:

isosceles right

because A light ray incident at 90° at the first face emerges at the same angle. The diagram shows five isosceles right-angled prisms. A light ray incident at 90° at the first face emerges at the same angle with the normal from the last face.

8 0

2 years ago

Please help. Don’t understand this math problem!!!

Fittoniya [83]

Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

6 0

3 years ago

Amy goes to a pumpkin patch and picks out a pumpkin that weighs 3,550 grams. If 1 gram = 0.0352 ounces, how many ounces does the

gregori [183]

Answer:

Answer is B

Step-by-step explanation:

3,550 x 0.0352 = 124.96 ounces

Brainliest please?

3 0

2 years ago

Gabriela walked to school on 16 of the 24 school days in March. Which value is equivalent to the

maks197457 [2]

Answer:

Step-by-step explanation:

4 0

3 years ago