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2 years ago

Please help, find the value of x!!

Mathematics

1 answer:

anygoal [31]2 years ago

5 0

Step-by-step explanation:

Given,

EF = 4x + 15

FG = 39

EG = 110

so,

EF + FG = EG

after our values

4x + 15 + 39 = 110

4x + 54 = 110

4x = 110 - 54

4x = 56

x = 56/4 = 14

x = 14.

hence value of x is 14.

hope this answer helps you dear...take care!!

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Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)

AlladinOne [14]

Answer:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

$m =\frac{y_2 -y_1}{x_2 -x_1}$

And replacing we got:

$m =\frac{-3 -9}{11-5}= -2$

And the best answer for this case would be :

$m=-2$

Step-by-step explanation:

For this case we have the following two points given:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

$m =\frac{y_2 -y_1}{x_2 -x_1}$

And replacing we got:

$m =\frac{-3 -9}{11-5}= -2$

And the best answer for this case would be :

$m=-2$

7 0

3 years ago

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

3 years ago

Mathematics question

Svetach [21]

Answer:

it's option B the second one

7 0

2 years ago

Read 2 more answers

A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1

V125BC [204]

Answer:

$\frac{dh}{dt}=0.5ft$

Step-by-step explanation:

From the question we are told that:

Length $l=12$

Top length $l_t=3ft$

Height $h=1ft$

Rate $R=14 ft3/min$

Water rise $w=4$

Generally the equation for Velocity is mathematically given by

$V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)$

$V=18h'^2$

Therefore

$R=18(2h)(\frac{dh}{dt})$

Where

$h=\frac{3}{4}$

Therefore

$\frac{dh}{dt}=\frac{R}{18(2h)}$

$\frac{dh}{dt}=\frac{14}{18(2.3/4)}$

$\frac{dh}{dt}=0.5ft$

8 0

3 years ago

Sam is practicing long track speed skating at an ice skating rink. The distance around the rink is 250 yards. He has skated arou

goldenfox [79]

Answer:

He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles

Step-by-step explanation:

In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.

We proceed as follows;

First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards

Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.

Mathematically, 1 mile = 1760 yards

3 miles = 3 * 1760 = 5,280 yards

To know the number of yards he need to skate more, we simply carry out a subtraction;

5,280 yards - 1250 yards = 4,030 yards

5 0

3 years ago