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trasher [3.6K]
3 years ago
10

Didn’t learn this good

Mathematics
1 answer:
patriot [66]3 years ago
4 0

.059, you move the decimal point two times to the left and the other way around when you want to convert into a percent

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Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
Rashid [163]

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = \pir²

Plug in 10 as the radius, and solve

A = \pir²

A = \pi(10²)

A = 100\pi

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

\frac{40\pi }{100\pi } = \frac{x}{360}

Cross multiply and solve for x:

100\pix = 14400\pi

x = 144

So, the degree measure of the sector arc is 144°

6 0
3 years ago
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Julio considers the reduction of the triangle. 12 in height 21 in base and 8 in height x in base Not drawn to scale What is the
Serhud [2]
To find the cross product, you can set this up as a proportion. Please see the attached paper for one of the proportions you could use.

You would then multiply the numbers that are diagonal from each other.

You would have 21(8) = 12x or
168=12x.

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3 years ago
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The original price p for a necklace is the same at both jewelry stores At store A the sale price is 60% of the original price. L
belka [17]
If x orignial price than 60/100*x=80/100*(x-40) and selling price =60/100*x=96
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Radwyn Horticulture is a company which focuses upon selling saplings. The company can grow a sapling for $15.45, and can sell th
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Its A on Edge. Good Luck!

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