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yarga [219]
3 years ago
8

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The boat rental costs $1.50 for every 15 minutes.

How much will they pay?
Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Answer:they would pay a total amount of $9

Step-by-step explanation:

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The number of hours for which they rented the boat would be

11:45 - 10:15 = 1 hour 30 minutes = 1.5 hours.

Converting to minutes, It becomes

60 + 30 = 90 minutes.

The boat rental costs $1.50 for every 15 minutes. Therefore, the total amount of money that they would pay is

90/15 × 1.5 = $9

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Step-by-step explanation:

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\frac{y_1 - y}{x_1 - x}

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Let us say that (x1,y1) is (3,18)

And (x,y) is (5,30)

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V square+6v-59=0<br> answer in one equation
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3 years ago
Prove that the diagonals of a rhombus are perpendicular using coordinate geometry
lozanna [386]

If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)

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O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)

Slope of the diagonal OB = 1 / (sqrt2 + 1)

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Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1

This proves that the diagonals are perpendicular.

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2 years ago
Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at ne
BlackZzzverrR [31]

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

\triangle HGI, \triangle JKL

G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)

J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)

Given that:

HI\cong KL and

\angle I \cong \angle L

<em>SAS congruence </em>between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. \triangle GHI \cong \triangle JKL by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula  to find IG and LJ:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

IG  =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units

LJ  =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units

Hence, segment IG ≅ segment LJ

\therefore ΔGHI ≅ ΔJKL by SAS

4 0
3 years ago
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