All categories

2 years ago

What is the height of this isosceles triangle?

Mathematics

1 answer:

erastova [34]2 years ago

5 0

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = $\frac{opposite}{hypotenuse}$ ( the opposite is the height h )

sin48° = $\frac{h}{16}$ ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

You might be interested in

if $5,250 is invested at 4.5% compounded monthly, what is the amount accumulated at the end of 10 years?

Romashka [77]

Answer:

In 10 years, you will have $793,789.89

Step-by-step explanation:

Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89

6 0

2 years ago

X^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.

AleksandrR [38]

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

8 0

2 years ago

Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)

kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

$a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°$

The law of the sines is:

$\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$

Then:

$\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5$

$\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30$

8 0

2 years ago

If f(x) = 3a|4x - 4| - ax, where a is some constant not equal to zero, find f '(1)

dlinn [17]

The slope of an absolute function at the point where it evaluates to zero is undefined.
Here, when x=1, so |4x-4|=|4-4|=|0|, the slope is undefined. This is where the vertex of the "V" on the graph of the absolute value function.

7 0

2 years ago

Read 2 more answers

The radius of a semi-circle measures 5<br> units. Find its area.

shutvik [7]

Answer:

≈39.27 units

Step-by-step explanation:

To find the area of a semi circle, you use the formula for finding the area of a circle, which is $\pi$ $r^{2}$ , and then you divide that by 2 since it is half of a circle.

In this case, $\pi$ $(5)^{2}$ ≈ 78.54

$\frac{78.54}{2}$ = 39.27

8 0

2 years ago