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2 years ago

Solve T=C(5+ AB) for B.

Mathematics

1 answer:

Vaselesa [24]2 years ago

8 0

Answer:

$b = \frac{t - 5}{a}$

Step-by-step explanation:

$t = c(5 + ab)$

Simplify:

$t = 5c + abc$

Move 5c to the other side:

$t - 5c = abc$

Divide bother sides with AC:

$\frac{t - 5c}{ac} = \frac{abc}{ac}$

Simplify:

$\frac{t - 5}{a} = b$

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According to the article "Clemente's Impact Wanes in Puerto Rico 40 Years after His Death," what happens in Puerto Rico in 2012

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3 years ago

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

Find the volume of a pyramid with a square base, where the side length of the base is

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

$v = \frac{1}{3} \times a \times h \\$

a is the area of the base

h is the height

Since the base is a square we have

$v = \frac{1}{3} \times {15.3}^{2} \times 19.6 \\ = 78.03 \times 19.6 \\ = 1529.388$

We have the final answer as

Hope this helps you

3 0

3 years ago

700=132.69x-25.96 <br> solve please

Damm [24]

Answer:

x = 5.5 (rounded)

Step-by-step explanation:

Equation: 700 = 132.69x - 25.96

Add 25.96 to both sides: 700+25.96 = 132.69x -25.96 + 25.96

Simplify: 725.96 = 132.69x

Isolate x

Divided both sides by 132.69: $\frac{725.96}{132.69} = \frac{132.69x}{132.69}$

Simplify: x = 5.5 (rounded)

7 0

3 years ago