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eimsori [14]
3 years ago
11

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin

t C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C?
yards
The direct distance from A to C is more than
yards.
The inequality w <
represents the distance, w, that Pete might save by taking the direct path.
Mathematics
2 answers:
DIA [1.3K]3 years ago
8 2

Answer:

(a)

A to B to C =40 yards

(b)

w<40

Step-by-step explanation:

We are given

The distance between point A and point B is 15 yards

AB=15 yards

The distance between point B and point C is 25 yards

BC=25 yards

(a)

A to B to C = AB+BC

A to B to C =15+25

A to B to C =40 yards

(b)

direct distance between A to C  or AC

It must be less  than distance between A to B to C

AC< AB+BC

AC< 15+25

AC< 40 yards

w<40


Whit
2 years ago
tot
Whit
2 years ago
totally wrong but thanks for trying
ozzi3 years ago
9 0
The answers are 40, 10, 30
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Ilia_Sergeevich [38]

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

4 0
2 years ago
In a survey, 250 adults and children were asked whether they know how to
Dmitry_Shevchenko [17]

Answer:

18%

Step-by-step explanation:

0.12 is 12 percent.

We also have the 0.06 percent which would just be 6 percent

We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.  

Our final answer is D.

3 0
2 years ago
Which statement is correct?
LiRa [457]
D is the correct answer
6 0
3 years ago
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
anastassius [24]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

4 0
3 years ago
F(x)=x -1 g(x)=-4x2 + 4 Find (f o g)(x)​
ValentinkaMS [17]

Answer:

4x^2 + 3.

Step-by-step explanation:

f o g(x) = f(4x^2 + 4)

= (4x^2 + 4) - 1

= 4x^2 + 3.

3 0
3 years ago
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