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2 years ago

The sum of two consecutive odd integers equals 12. What are they?

Mathematics

1 answer:

svetoff [14.1K]2 years ago

8 0

Answer:

x = 5

The two consecutive odd integers are: 5, 7

And...checking

sum = 12

Step-by-step explanation:

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The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

$a =255\ yd\\c = 305\ yd\\\angle B =17^\circ$

To find:

Side $b = ?$

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Putting all the values:

$cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd$

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

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2 years ago

Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.

-BARSIC- [3]

Answer:

y=q(x-r)+p

Step-by-step explanation:

y-y1=m(x-x1)

y-p=q(x-r)

y=qx-qr+p

y=q(x-r)+p

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2 years ago

What would be the best estimate for the height of a front door?

solmaris [256]

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

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2 years ago

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Answer:

Which studio charges more for each additional charge? B

Raj wants to take 8 classes each month. Which studio is cheaper for him? A

Step-by-step explanation:

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

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2 years ago

What is (3. 1 times 10 Superscript 5 Baseline) (2. 2 times 10 Superscript 7 Baseline) in scientific notation? 5. 5 times 10 Supe

Kobotan [32]

The sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

The given expression is:

$(3.1 \times 10^5) \times (2.2 \times 10^7)$

Evaluating the multiplication, we get:

$3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}$

It is because of exponent rule that $a^b \times a^c = a^{b+c}$ , and because of commutative property of addition.

Thus, the sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

Learn more about scientific notation here:

brainly.com/question/3112062

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2 years ago