All categories

4 years ago

Each lenght is in metres Calculate DC

Mathematics

1 answer:

Gnom [1K]4 years ago

6 0

Step-by-step explanation:

ED is greater than BC

the line from B to ED ^ (which i drew ) the point it touches ED name it X. so EX will be 2 ( ED-BC)(6-4).

then u have a triangle. EX, XB and EB.

you have length of EX(2) and u have hypotenuse. so u can calculate XB using Pythagoras theorem.

15.1²=2²+XB²

15.1²-2²=XB²

224.01=XB²

XB=14.97

since XB and DC are parallel ( a rectangle is forming XBCD) so DC is also 14.97

You might be interested in

Lowering powers write in terms of first power of cosine. Cos^6

yaroslaw [1]

The main identity you need is the double angle one for cosine:

$\cos^2x=\dfrac{1+\cos2x}2$

We get

$\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8$

Expand the numerator to apply the identity again:

$\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8$

$\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8$

$\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8$

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x$

Finally, make use of the product identity for cosine:

$\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2$

so that ultimately,

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x$

$\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x$

4 0

4 years ago

A sign is being made from a rectangular board of wood that originally measures 36 inches by

lozanna [386]

<h3>Solution (a):</h3>

Area of rectangle = LB
=> Area of rectangle = 18 x 36
=> Area of rectangle = 648 in²

<h3></h3><h3>Solution (b):</h3>

<u>Since the two triangles are equal (as said in the question):</u>

=> Area of triangles: 2(1/2 x 6 x 18)
=> Area of triangles: 6 x 18
=> Area of triangles: 108 in²

<h3 /><h3>Solution (c):</h3>

<u>Subtract the area of the triangles from the area of the rectangle.</u>

648 - 108 = Area of trapezoid
=> 540 in² = Area of trapezoid

7 0

3 years ago

Pattern A and B both start at 0. Which statement about the patterns is true?

zepelin [54]

Answer:

in my opinion i think that the answer is c

3 0

3 years ago

Read 2 more answers

the function f(x)=5(2)x represents number of bacteria, f(x), growing in a culture after x hours. How many bacteria are in the cu

snow_tiger [21]

<h3>Answer: 40</h3>

=============================================

Explanation:

Assuming the function is f(x) = 5(2)^x, then we replace every x with 3. Then we use the order of operations PEMDAS to simplify. Or we can use a calculator to simplify in one step.

f(x) = 5(2)^x

f(3) = 5(2)^3

f(3) = 5(8)

f(3) = 40

4 0

4 years ago

It’s circles and ratio.

34kurt

T represents the center of the circle. If you were to measure the 8 1/2 inches all around T, you would end up with a circle whose radius is 8 1/2 (which means its diameter is 2(8 1/2) = 17

Note: a sphere is 3-dimensional (an example would be a ball) so has more than one plane.

Answer: a

7 0

3 years ago

Each lenght is in metres Calculate DC​

Each lenght is in metres Calculate DC