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Juli2301 [7.4K]
2 years ago
11

The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of th

e missing side of the farmyard (round to two decimal places). A) 17.00 feet B) 27.00 feet C) 32.15 feet D) 46.77 feet
Mathematics
2 answers:
saw5 [17]2 years ago
7 0

Answer:

D

Step-by-step explanation:

its D for sure

oksano4ka [1.4K]2 years ago
3 0

Answer:

d

Step-by-step explanation:

46.77 feet Use the Pythagorean theorem.

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Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y a
pickupchik [31]

Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90°  (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

4 0
2 years ago
Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
natali 33 [55]

Answer:

1. Tracie's bus travels towards her home at an average speed of \frac{1}{2} miles per minute.

Step-by-step explanation:

From the graph, we see that,

X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).

Also, the graph of the function is decreasing by 1 miles for every 2 minutes.

That is, the distance from home is decreasing as the time increases.

That is, the bus is getting closer to the home.

Further, as the distance is decreasing by 1 mile for every 2 minutes.

Thus, the rate of decrease is \frac{1}{2} miles per minute.

As we know, Speed=\frac{Distance}{Time}

<em>So, the slope represents the speed of the bus travelling towards home.</em>

That is, 'Tracie's bus travels towards her home at an average speed of \frac{1}{2} miles per minute'.

4 0
2 years ago
Read 2 more answers
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-hal
vesna_86 [32]

Answer:

B. y - 2 = 1/3(x - 3)

4 0
2 years ago
Read 2 more answers
You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec
andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

so

w+285\geq 500                

Solve for w                        

Subtract 285 both sides        

w\geq 500-285\\w\geq 215

The minimum number of words left to write is 215

3 0
2 years ago
You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
Read 2 more answers
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