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3 years ago

Help please? 39 points

Mathematics

1 answer:

victus00 [196]3 years ago

6 0

You cannot assume the angles add to 90, but you know since BD is an angle bisector that ABD is equal to DBC, or x-5=2x-6

x=1. this is the correct solution to the equation but gives negative angles when plugged in which isn't possible. there must be something wrong work the question

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Help somebody thanks .

Fudgin [204]

It’s going to be 6 units

7 0

2 years ago

How would I find a? What formula would I use?

xenn [34]

Answer:

You can use either of the following to find "a":

Pythagorean theorem
Law of Cosines

Step-by-step explanation:

It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.

I find it reasonably convenient to find the length of x using the sine of the 70° angle:

x = (15 ft)/sin(70°)

x ≈ 15.96 ft

That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.

Consider the diagram below. The relation between DE and AE can be written as ...

DE/AE = tan(70°)

AE = DE/tan(70°) = DE·tan(20°)

AE = 15·tan(20°) ≈ 5.459554

Then the length EC is ...

EC = AC - AE

EC = 6.3 - DE·tan(20°) ≈ 0.840446

Now, we can find DC using the Pythagorean theorem:

DC² = DE² + EC²

DC = √(15² +0.840446²) ≈ 15.023527

a ≈ 15.02 ft

_____

You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)

DC² = AD² + AC² - 2·AD·AC·cos(A)

a² = x² +6.3² -2·6.3x·cos(70°) ≈ 225.70635

a = √225.70635 ≈ 15.0235 . . . feet

3 0

3 years ago

confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

8 0

3 years ago

Joe flips the disc shown below 15 times:

vfiekz [6]

Whatever the number of times you flip the disc, as long as the disc has uniformly distributed mass throughout the body, then

The probability will always be 50%

7 0

3 years ago

Read 2 more answers

Identify the solution(s) of the system of equations, if any. -4x-2y=16 2y=-4x-16

Elodia [21]

-4x-2y = 16
2y = -4x-16

Get one variable alone on both equations

-4x - 16 = 2y
-4x - 16 = 2y

You'll realize that they're the same equation.
Use substitution

-4x-16 = -4x-16
0 = 0
x = all solutions

Use x = all solutions in an earlier equation to find y

-4x - 16 = 2y
SInce x can be all solutions y is also all solutions
y = all solutions

8 0

3 years ago

Read 2 more answers