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Tanzania [10]
2 years ago
12

REPOST!!!!!! 20 POINTS!!!!!!

Mathematics
1 answer:
kkurt [141]2 years ago
6 0

Answer:

A

Step-by-step explanation:

according to tangent property

we get

  • AM=BM
  • AN=CN
  • BK=CK

Given that

  • AM=6
  • BK=4

Thus our equation is

\rm \displaystyle 2AM + 2AN + 2BK = 34

substitute the given values

\rm \displaystyle 2.6+ 2AN+ 2.4 = 34

simplify multiplication:

\rm \displaystyle 12+ 2AN+ 8 = 34

simplify addition:

\rm \displaystyle 2AN+ 20= 34

cancel 20 from both sides:

\rm \displaystyle 2AN=14

divide both sides by 2:

\rm \displaystyle AN=7

AN=CN

hence,CN=7

therefore our answer is A

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Give the domain and range of the relation.
Alex_Xolod [135]

Answer:

Please check the explanation.

Step-by-step explanation:

Finding Domain:

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

From the given graph, it is clear that the starting x-value of the line is x=-2, the closed circle at the starting value of x= -2 means the x-value x=-2 is included.

And the line ends at the x-value x=1 with a closed circle, meaning the ending value of x=1 is also included.

Thus, the domain is:

D: {-2, -1, 0, 1}       or    D: −2 ≤ x ≤ 1

Finding Range:

We also know that the range of a function is the set of values of the dependent variable for which a function is defined

From the given graph, it is clear that the starting y-value of the line is y=0, the closed circle at the starting value of y = 0 means the y-value y=0 is included.

And the line ends at the y-value y=2 with a closed circle, meaning the ending value of y=2 is also included.

Thus, the range is:

R: {0, 1, 2}   or    R: 0 ≤ y ≤ 2

7 0
3 years ago
Bruh I’m so confused on how to do this
Dmitrij [34]

Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>

<h3>Answer:</h3>

A. False:

Area= \frac12 \times base \times height .... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>

B. True  .... you just add all sides, each is 4 times bigger

C. False ... by definition of dilation, the sides grew

D. True... Size changed, but the shape stayed the same (so, did the angles)

3 0
3 years ago
I’ve done question a. But can you help me on b and c
spin [16.1K]

Answer:

Step-by-step explanation:

b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km

Radius of Mercury = 4880÷ 2 = 2440 km

c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶

Mass of Saturn = 5.68 * 10²⁶

Difference  = 18.98 * 10²⁶ - 5.68*10²⁶

                   = (18.98 - 5.68) * 10²⁶

                   = 13.30 * 10²⁶

                   = 1.330 * 10²⁷

4 0
3 years ago
A recommendation for wheelchair ramps is that the rise-to-run ratio be no greater than 1:12. This ensures that the ramps are nav
patriot [66]

Answer:

a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

Step-by-step explanation:

a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

1/12 = 12/x

x = 12 × 12

x = 144 inches

Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

b. How long should the ramp be?

The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

The percentage grade of the ramp = rise/run × 100 %

= 12 inches/144 inches × 100 %

= 1/12 × 100 %

= 0.0833 × 100 %

= 8.33 %

6 0
2 years ago
The graph of a logarithmic function is shown below.
Dmitrij [34]

Domain means all the x-values include in the graph.

In this case the graph starts including x-values at 0 and all x-values that are greater then 0.

In other words x can be zero or anything larger

Technically you would show this like so:

x ≥ 0

You use the inequality symbol with the bar underneath because you want to show that 0 is included in the domain. It faces away from the zero and towards the x because x can be larger then 0 not smaller.

I guess in this case you wouldn't be including 0 so your answer is:

B. x > 0

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
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