All categories

3 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

Answer:

a) $\sqrt{69}$

Step-by-step explanation:

this is a right triangle so you can use the Pythagorean Theorem:

the sum of the legs, squared, is equal to the hypotenuse, squared

10² + b² = 13²

100 + b² = 169

b² = 69

b = $\sqrt{69}$

You might be interested in

A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces tha

just olya [345]

Answer:

i don't know

Step-by-step explanation:

7 0

3 years ago

A ball is thrown vertically in the air with a velocity of 90ft/s. Use the projectile formula h=−16t2+v0t to determine at what ti

Debora [2.8K]

Answer:

$t=1.7 \ sec\ , t=4.0\ sec$

Step-by-step explanation:

Vertical Throw

It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity

The projectile formula is given as

$h=-16t^2+v_0t$

where t is time in seconds, h is the height in feet and v is the speed in ft/sec

We are required to find the time t where h=120 ft, knowing $v_o=90\ ft/sec$

$-16t^2+90t=120$

Rearranging

$-16t^2+90t-120=0$

This is a second-degree equation which will be solved with the formula

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\displaystyle x=\frac{-90\pm \sqrt{90^2-4(-16)(-120)}}{2(-16)}$

$\displaystyle x=\frac{-90\pm \sqrt{1380}}{-32}$

Two solutions are obtained

$\boxed{t=1.7 \ sec\ , t= 4.\ sec}$

Both solutions are possible because the ball actually is at 120 ft in its way up and then when going down

6 0

4 years ago

Read 2 more answers

Plz answer question in screen shot

lisov135 [29]

Answer:

200√3

Step-by-step explanation:

The triangle given here is a special right triangle, one with angles measuring 30-60-90 degrees. The rule for triangles like these are that the side opposite the 30° angle can be considered x, and the side opposite the 60° angle is x√3, while the hypotenuse, or side opposite the right angle, is 2x. All we need to know here are the two legs to find the area.

Since b is opposite the 30° angle, it is x, while side RS is opposite the 60° angle, meaning it is equal to x√3, meaning that the area of the triangle is 1/2*x*x√3. We can substitute in 20 for x, making our area 1/2*20*20√3. Multiplying we get 10*20√3, or 200√3.

6 0

4 years ago

On Saturday 1/8 of people who visited were senior citizen and 1/8 for infants 1/4 were children and 1/2 were adults how many of

vaieri [72.5K]

Answer:

$4,012\ senior\ citizen$

$4,012\ infants$

$8,024\ children$

$16,048\ adults$

Step-by-step explanation:

The complete question is

On Saturday,1/8 of the people who visited were senior citizens,1/8 were infants,1/4 were children,and 1/2 were adults.How many of each group visited the zoo on Saturday? It's has to equal to 32,096 people

we know that

1/8 of people were senior citizen

1/8 were infants

1/4 were children

1/2 were adults

To find out how many of each group visited the zoo on Saturday, multiply the total of people by the fraction of each group

$\frac{1}{8}(32,096)= 4,012\ senior\ citizen$