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vladimir1956 [14]
1 year ago
9

S is the midpoint of RT. If RS = 7x-4 and ST = 5x+10, what is ST

Mathematics
1 answer:
Natali [406]1 year ago
7 0

Answer: 45

Step-by-step explanation:

RS=ST\\\\7x-4=5x+10\\\\2x-4=10\\\\2x=14\\\\x=7\\\\\implies ST=5(7)+10=45

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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 360 degrees a. 6.28 un
Alekssandra [29.7K]

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
A ladder is leaning against a building and makes a 28 degree angle with the ground. the top of the ladder reaches up the buildin
Digiron [165]

The length of the ladder is 75ft.

<h3>What is hypotenuse?</h3>

The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

<h3>According to the information:</h3>

The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft

Therefore, we have:

Sineα = opposite/hypotenuse

Where:

Opposite = 35

Hypotenuse = Length

α = 28°

substitute values and solve for the length, as following:

Sine(28) = 35/Length

Length = 35/Sine(28)

Length = 75ft

Therefore,

The length of the ladder is 75 ft.

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brainly.com/question/8587612

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2 years ago
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3 years ago
Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2^x − 8? Use either the remainder theorem or the factor theorem to explain your reaso
Natasha_Volkova [10]

Answer:

Not a factor

Step-by-step explanation:

We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is  factor of f(x).

Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not

f(x)=x^{3}-3x^{2}+2x-8

Substituting x = -7, we get:

f(-7)=(-7)^{3}-3(-7)^{2}+2(-7)-8\\\\ f(-7)=-512

Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)

4 0
3 years ago
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