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dem82 [27]
3 years ago
6

FInd the length of DB and CD. Please help!

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Step-by-step explanation:

DB length = 5 1/4 + 2/3

=21/4 + 2/3

= 63/12 + 8/12 = 71/12

CD length = 5 1/4 -2 = 3 1/4

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Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, usi
Ann [662]
The answer is B. because if u add 11to -8, it becomes 3 andthe other side will already be 3. so 3=3.
8 0
3 years ago
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
Open the photo to see question please...
9966 [12]

Answer:c

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Step-by-step explanation:

c

8 0
3 years ago
James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would
miskamm [114]

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

To Find :

The new balance of the account be after 3 years.

Solution :

Interest on $3500 after 3 years is :

I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5  .

Hence, this is the required solution.

3 0
3 years ago
For questions 13 – 15, find x so that q || r. State the converse used.
Grace [21]

Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14.  x=12; Converse used : Linear pair

15.  x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure

Given: q || r

\angle CBE =\angle DEB (Alternate interior angles )

So,  15x+3=108

15x=108-3

15x=105

x=\frac{105}{15}

x=7

So, x = 7 ; Converse : Alternate interior angles are equal .

14.

Refer the attached figure

Given q||r

\angle PQT = \angle STQ (Alternate interior angles

So,\angle PQT = \angle STQ=11x-28

Now\angle UTQ + \angle STQ = 180^{\circ}(Linear pair)

So,7x-8+11x-28=180

18x-36= 180

18x=216

x=\frac{216}{18}

x=12

So, x=12; Converse used : Linear pair

15.

Refer the attached figure

Given q||r

\angle BDC+\angle CDE = 90+2x

\angle BDE=\angle PBC(corresponding angles)

90+2x=5x+21

90-21=5x-2x

69=3x

23=x

So, x = 23; Converse: Corresponding angles are equal

5 0
3 years ago
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