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jok3333 [9.3K]
2 years ago
15

The graph of y =-3x+4 is

Mathematics
1 answer:
nikklg [1K]2 years ago
7 0

Answer:

Step-by-step explanation:

hello :

The graph of y =-3x+4 is the line

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if i wanted to make a 40,000 payment in one year with a 5% annual interest rate, how much should i invest now?
IRINA_888 [86]

Answer:

38,095.24

Step-by-step explanation:

40,000 = P(1 + 0.05)^1

P = 40,000/1.05

P = 38095.2380952

5 0
3 years ago
Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an
qwelly [4]

Answer:

Step-by-step explanation:

2.5 surface area

4 0
2 years ago
A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na
ira [324]

Answer:

Approximately 58.2\; \text{nautical miles} (assuming that the bearing is {\rm S$29^{\circ}$W}.)

Step-by-step explanation:

Let v denote the speed of the ship, and let t denote the duration of the trip. The magnitude of the displacement of this ship would be v\, t.

Refer to the diagram attached. The direction {\rm S$29^{\circ}$W} means 29^{\circ} west of south. Thus, start with the south direction and turn towards west (clockwise) by 29^{\circ} to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of v\, t. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly 29^{\circ}.

Since the hypotenuse is of length v\, t, the dashed line segment opposite to the \theta = 29^{\circ} vertex would have a length of:

\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}.

Substitute in \begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned} and t = 6\; \text{hour}:

\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}.

7 0
2 years ago
Find the measure of XY. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth
Slav-nsk [51]

Answer:

Solution given:

7x-29=2x+16[length from the circumference of circle is equal to same point]

7x-2x=16+29

5x=45

x=45/5=9

now.

XY=2×9+16=18+16=34 is your answer

5 0
3 years ago
The figures are similar find X ​
mr Goodwill [35]

Answer:

<h3><em>X=14.4</em></h3>

<em>Step-by-step explanation:</em>

<em>As triangles are similar </em>

<em>The ratio of the sides must be equal</em>

<em>so..</em>

<em />\frac{x}{8} =\frac{9}{5}<em />

<em />x=\frac{9*8}{5}<em />

<em />x=14.4<em />

<em>hope it helps...</em>

<em>have a great day!!</em>

4 0
3 years ago
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