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Alla [95]
3 years ago
11

If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 5 and passes through point (2, 3).part

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
F a ship's path<span> is </span>mapped<span> on a </span>coordinate grid<span>, it </span>follows<span> a </span>straight-line path<span> of </span>slope 3<span> and </span>passes through point<span> (</span>2<span>, </span>5<span>). </span>Part<span> A: What is the equation of the </span>path<span>? </span>Part<span> B: Does the </span>ship pass through point<span> (7, 22)?. </span>Part<span> C: A second </span>ship follows<span> a straight line, with the equation x + 3y − 6 = 0. Are these two </span>ships<span> </span>
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Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
IRINA_888 [86]

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

8 0
3 years ago
Read 2 more answers
I need help with these three problems please​
Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

Thus, the perimeter of the square is

= 4( \sqrt{578} ) \\  = 96.2 ft\:  \:  \: (3 \: s.f.)

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= \frac{x}{42}

\frac{ \sqrt{3} }{2}  =  \frac{x}{42}  \\ x =  \frac{ \sqrt{3} }{2}  \times 42 \\ x = 21 \sqrt{3}  \\ x = 36.4

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

4 0
3 years ago
Read 2 more answers
the circumference of a circle is 11pi inches. what is the area, in square inches, of the circle? express in terms of pi.
zmey [24]
Circumference = 2 * pi * r, where r is the radius
For this circle, the circumference is 11pi, so 11pi=2*pi*radius. Divide both sides by 2pi and you get r is = to 5.5 inches.

Area of a circle is pi*r^2. Since we just saw that r = 5.5 inches, the circle has an area of 5.5 inches * 5.5 inches * pi or 30.25 pi inches squared.
8 0
3 years ago
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Jackson will buy the items listed below. He has $422.76 in his checking account. He had a stored-valued card worth $75. He withd
Inessa05 [86]

Answer:

A

Step-by-step explanation:

44.99+299.49 = $344.38

$344.38 - store card ($75) = $269.48

422.76 - 269.48 - 2.5 = $150.78

Therefore answer is A

6 0
3 years ago
I really need help quick
Natali [406]

Answer:

\sf x=2+\sqrt{6},\:x=2-\sqrt{6}

Explanation:

\sf y = x^2 -4x

given that y = 2

\sf x^2 -4x = 2

\sf x^2 -4x -2 = 0

using quadratic formula:

\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}  \    \ \ when  \   ax^2 + bx + c = 0

\rightarrow \sf x_{1,\:2}=\dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}

\rightarrow \sf x_1=\dfrac{-\left(-4\right)+2\sqrt{6}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{6}}{2\cdot \:1}

\rightarrow \sf x=2+\sqrt{6},\:x=2-\sqrt{6}

in decimals:

\rightarrow \sf x=4.45 , \ -0.45

5 0
2 years ago
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