Angle of elevation __________ Angle of depression

Nathan hit 19 homeruns. He scored 3 fewer homeruns than twice the number of homeruns hit by jason. Write and solve an equation t

Vinvika [58]

Jason hit 11 homeruns.

Step-by-step explanation:

Homeruns hit by Nathan = 19

Let,

Homeruns hit by Nathan = x

Homerun hit by Jason = y

According to given statement;

x = 2y - 3 Eqn 1

We know that Nathan hit 19 homeruns, therefore, putting x=19 in Eqn 1

$19=2y-3\\19+3=2y\\22=2y\\2y=22$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{22}{2}\\y=11$

Jason hit 11 homeruns.

Keywords: linear equations, addition

Learn more about linear equations at:

#LearnwithBrainly

7 0

2 years ago

A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to

Aliun [14]

Answer:

$A=9.5\ ft^2$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

so

$A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}$

we have

$b=4\ ft$

Find the height of the right triangle applying the Pythagorean Theorem

$5^2=h^2+4^2$

$h^2=9\\h=3\ ft$

The radius of the semicircle is half the height of triangle

$r=3/2=1.5\ ft$

substitute in the formula

$A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}$

$A=6+3.5=9.5\ ft^2$

5 0

2 years ago

Read 2 more answers

If you walk 5/12 in 1/2 hour how dar will you walk in 1 hour

riadik2000 [5.3K]

Answer:

10/12 or 5/6

Step-by-step explanation:

1/2 + 1/2 = 1

5/12 + 5/12 = 10/12 or 5/6

3 0

2 years ago

Read 2 more answers

PLEASE I NEED HELP I ONLY HAVE 3 MINUTES TO SOLVE THIS PLEASE HELP

defon

Answer:

A&B

Step-by-step explanation:

8 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