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2 years ago

What is the length of AC?

Mathematics

1 answer:

makvit [3.9K]2 years ago

3 0

The small and large triangles are similar
so 3 / (3+3) = 9 / AC

9 / AC = 1/2
#AC = 18 ft Answer

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Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2

Sergeu [11.5K]

Rearrange the given equation in slope intercept form
$y = \frac{3x - 1}{ - 2} \\ y = - \frac{3}{2} x + \frac{1}{2}$
slope of the required line is
$- \frac{1}{ - \frac{3}{2} } = \frac{2}{3}$
equation is given by
$y - y1 = m(x - x1) \\ y - - 4 = \frac{2}{3} (x - 5) \\ y + 4 = \frac{2x}{3} - \frac{10}{3} \\ y = \frac{2x}{3} - \frac{10}{3} - 4 \\ y = \frac{2}{3} x - \frac{22}{3}$

5 0

2 years ago

What are all the factor strings of 840?

nexus9112 [7]

$840|2\\420|2\\210|2\\105|5\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\840=2\times2\times2\times5\times3\times7=2^3\times3\times5\times7$

6 0

2 years ago

Which equation could represent the graph below?

coldgirl [10]

Equation 2. If you look at the graph, you see that the slope is negative 3/4 because the rise over run is -3/4. The only equation with the slope -3/4 is 2, so the answer is 2.

8 0

2 years ago

A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?

avanturin [10]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with base radius 9mm and height 13 mm

To calculate - volume of the cone

We know that ,

$Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\$

substituting the values in the formula ,

$Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3}$

hope helpful ~

7 0

1 year ago

AB is the angle bisector of CAD. Solve for the missing variable?

Alika [10]

Answer:

$x=8^\circ$

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is $\angle CAD$ ) exactly in half. Therefore, $\angle CAB = \angle BAD$ and as such we can solve for $x$ :

$\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ$

and we are done.

4 0

2 years ago