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3 months ago

2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

Mathematics

1 answer:

PIT_PIT [12.4K]3 months ago

4 0

The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

might accurately describe Peter's drawing?

I. AC and AP are parallel.

II. PAC represents an angle.

III. AC and AP are at right angles.

A. I and II

B. II and III

C. I and III

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We know Peter has drawn rays AC and AP.

Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.

This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.

Thus, the valid statements that characterize his drawing are: II & III.

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1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms? Round your answer t

AnnZ [12381]

The weight of an orangutan is 64.5 kilograms

Solution:

It is stated that the orangutan's weight is 142 pounds

Additionally,

1 kilogram is approximately 2.2 pounds

We will now convert 142 pounds into kilograms

1 kilogram = 2.2 pounds

$\text{1 pound } = \frac{1}{2.2} \text{ kilograms }$

As a result, 142 pounds translates to

$142 \text{ pound } = \frac{1}{2.2} \times 142 \text{ kilogrmas }$

$\rightarrow \frac{1}{2.2} \times 142 = 64.545 \text{ kilograms }$

When rounding to the nearest tenth, we obtain 64.5 kilograms

Therefore the mass of the orangutan is 64.5 kilograms

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2 months ago

What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1

Inessa [12570]

The outcome is "GK=37, GH=14, and JK=19".

The problem references a missing attachment file, thus please find it attached.

The provided values are:

GJ=4x+2

HK=6x-1

Given GK =37

Need to calculate:

HJ=?

From GK: GK = GJ+JK yields GJ+(HK-HJ)

= 4x+2+((6x-1)-x) yields

9x+1...(a)Substituting (a) into the equation gives: 9(4)+1 yields 37 solves to x=4... for answer (b) and (c). Substituting x=4 yields:

GH=14 and JK=19.

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2 months ago

The positive difference between the two roots of the quadratic equation $3x^2 - 7x - 8 = 0$ can be written as $\frac{\sqrt{m}}{n

Svet_ta [12734]

3x² - 7x - 8 = 0

Since we need to calculate square roots, we'll skip factoring and directly apply the quadratic formula,

x = ( 7 ± √(7² - 4(3)(-8)) )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6

145 = 5×29, indicating there are no square factors. The positive difference is

d = (7/6 + √145/6) - (7/6 - √145/6) = 2√145/6 = √145/3

therefore, m=145, n=3 leading to a sum of

Answer: 148

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2 months ago

Read 2 more answers

(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the

Leona [12618]

Answer:

16 years

Step-by-step explanation:

Let x represent the count of years. The suburb population increases at a rate of 5000 annually, which can be formulated as:

320000 + 5000x

The city population decreases at a rate of 14000 per year, represented as:

624000 - 14000x

The point in time when both the suburb and city populations will match can be derived from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years, the populations of both the suburb and the city will be equivalent

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2 months ago

The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. The r

PIT_PIT [12445]

Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

The annual change in the car's value, represented by dV(t)/dt, has a proportional relationship with V(t), the car's current value.

dV(t)/dt ∝ V(t)

dV(t)/dt = kV(t)

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3 months ago