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3 years ago

Joshua has $500 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

Mathematics

1 answer:

spayn [35]3 years ago

6 0

Answer: 12

Step-by-step explanation:

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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

Please delete my all question

PolarNik [594]

Answer: what do you mean ?

Step-by-step explanation:

4 0

3 years ago

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The Eagle Club wants to build a chain of 2,505 dominoes. If they have already set up 807 dominoes, how many more do they need to

Sloan [31]

Answer:

1698

Step-by-step explanation:

4 0

3 years ago

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Use the law of wines to find the value of y. Round to the nearest Tenth

Eva8 [605]

Answer:

y ≈ 2.5

Step-by-step explanation:

Using the Sine rule in Δ XYZ

$\frac{sinZ}{XY}$ = $\frac{sinY}{XZ}$ , substitute values

$\frac{sin50}{2}$ = $\frac{sin75}{y}$ ( cross- multiply )

y sin50° = 2 sin75° ( divide both sides by sin50° )

y = $\frac{2sin75}{sin50}$ ≈ 2.5 ( to the nearest tenth )

4 0

3 years ago

Find the total surface area of the net bellow

9966 [12]

Answer: 102.4 cm^2

Step-by-step explanation:

find the surface area of all of the rectangles

7.2(4)=28.8

7.2(2)=14.4

7.2(4)=28.8

7.2(2)=14.4

4(2)=8

add

28.8+14.4+28.8+14.4+8+8=102.4

4 0

3 years ago