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Evgesh-ka [11]
2 years ago
9

5 questions!!! 6 total but the last question will be separate will be giving 35 points to correct answer. Links will be ignored.

I will mark brainliest!

Mathematics
1 answer:
ki77a [65]2 years ago
4 0

Answer:

Step-by-step explanation:

1)down 8 up 10

2)11.2

3)9+9+9+9+9=45

4)middle

5)77.0

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A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find
scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, O(0,0) in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

x^2=4ay\;\cdots(i)

where a is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is A(83, -40) and B(-83, -40).

There is only one constant in the equation of the parabola, so, use either of one point to find the value of a.

Putting A(83,-40) in the equation (i) we have

83^2=4a(-40)

\Rightarrow a=-43.05625

So, on putting the value of a in the equation (i), the equation of bridge is

x^2=-172.225y

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, x=\pm 10 feet, put this value in equation (i) to get the value of y.

(\pm10)^2=-172.225y

\Rightarrow y=-1.72225 feet.

The point P_1(10,-1.72225) and P_2(-10,-1.72225) represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is d=1.72225 feet and the distance of the base of the bridge from the x-axis is h=40 feet.

Hence, height from the base of the bridge at 10 feet from its center

= h-d

=40-1.72225=38.27775 feet.

8 0
2 years ago
If ON is a midsegment of KLM, find LM.<br><br> A.2<br> B.3<br> C.4<br> D.5
Aleksandr-060686 [28]
NO is 2 times LM

2(x+1) = 4x

2x + 2 = 4x

2 = 2x

1 = x

Plug that in for 4x

4(1)

4
4 0
3 years ago
Read 2 more answers
Help please ASAP thank you!! your awesome if you help
12345 [234]

Answer:

Perimeter=56 units

Area =196 square unites

Step-by-step explanation:

The diagonal would be 14√2.

The formula for area using the diagonal is 1/2d².

1/2x(14√2)²=1/2x196x2=196

For perimeter, s²+s²=392

2s²=392

s²=196

s=√196

s=14

14x4=56

6 0
3 years ago
Which ordered pairs make both inequalities true? Check all that apply.
Thepotemich [5.8K]
All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2  (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2

7 0
3 years ago
Read 2 more answers
Which of the following is not a function?
rusak2 [61]
Answer: B

Number on the left: x-value
Number on the right: y-value

If there are 2 y-values for one x-value it is NOT considered a function.

For instance in the answer:

(2,3), (2,4), (3,3), (3,4)

You can clearly see that the x-values (2 & 3) repeat more than once; therefore, it is NOT a function.

On the other hand if you have 2 DIFFERENT x-values for the same y-value it IS A FUNCTION.

For ex D: (2,4), (3,4), (5,4), (6,4)

As you can see there are 4 DIFFERENT x-values with same y-value; therefore it is A FUNCTION

To make it easier:

If x-values appear more than once = NOT A FUNCTION

If x-values appear only ONCE = FUNCTION

Remember: y-values are ALLOWED to repeat

I hope this helps. If you have any questions please let me know in the comments.
4 0
2 years ago
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