1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
avanturin [10]
3 years ago
7

I need answers please

Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Answer: the first one

Step-by-step explanation:

It is the only one that is right

You might be interested in
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
Find the value of each variable. If you give the decimal value, round to the nearest tenth.
DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2

⇒ 6^2+\text{opposite}^2=12^2

⇒ 36+\text{opposite}^2=144

⇒ \text{opposite}^2=108

⇒ \text{opposite}=6\sqrt3=10.4

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0
3 years ago
Estimate the difference of the decimals below by rounding to the nearest whole number. 23.827
iragen [17]

Step-by-step explanation:

The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.

23.827 rounds up because the 8 is more than 5.

1.218 rounds down because 2 is less than 5.

24-1= 23

6 0
3 years ago
Assume that the total revenue received from the sale of x items is given​ by, ​R(x)equals34 ln (4 x plus 5 )​, while the total c
katen-ka-za [31]

Answer:

63 units

Step-by-step explanation:

The profit function P(x) is given by the revenue function minus the cost function:

P(x) = R(x) - C(x)\\P(x) = 34ln(x+5)-\frac{x}{2}

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

P(x) = 34ln(x+5)-\frac{x}{2}\\P'(x) =0= \frac{34}{x+5}-\frac{1}{2}\\x+5=68\\x=63\ units

The number of units that should be manufactured so that​ profit is maximum is 63 units.

5 0
3 years ago
Equiangular polygon has how many sides exterior angle is 25
Softa [21]
If the exterior angle is 25o then the interior angle is its supplement.
The interior angle = 180 - 25 = 155 degrees. All angles are equal in the interior.
The sides aren't.

I'm hoping you get an answer besides mine. I can take you so far.
The formula for an interior angle is 

180(1 - 2/n) = Interior angle. When you solve this you get
180(1 - 2/n) = 155
1 - 2/n = 155/180
1 - 2/n = 0.86111111
- 2/n = 0.8611111 - 1
2/n = 0.13888888
2 / 0,1388888 = n
n = 14.4

You can google equiangular polygon theorem to see where I got the formula. The problem is that I really don't know how to interpret the answer. It looks like you have 14 conguent sides and 1 that is 0.4 left over. The figure might still be equiangular.
5 0
3 years ago
Other questions:
  • Any whole number and it's opposite,but it cannot be a decimal or fraction
    5·1 answer
  • Simplify -|-5 + 2|. 10 points! thank you
    11·1 answer
  • NEED HELP FAST PLZ!!!!!!!
    7·1 answer
  • A car traveled 63 miles on 3 gallon of gas. What proportion can you set up to determine how many miles, m, the car can travel on
    5·2 answers
  • 2(x+8)=2x-8 true or false
    14·1 answer
  • Why is the product of a rational number and an irrational number irrational
    5·1 answer
  • A can finish a piece of work in 12 days.He worked for 3 days amd left.
    11·1 answer
  • Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight
    13·1 answer
  • PLEASE HELP!!!!!!!!!!!!!
    9·2 answers
  • A spinner is broken into section labeled 1 to 38. What is the probability that.On your next spin, that you will spin a 1?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!