Subtract. Write your answer in simplest form.<br><br> 9 1/2- 1 6/7

What is the volume of this pyramid? WILL GIVE BRAINLIEST

makvit [3.9K]

Answer:

1260 $cm^{3}$

Step-by-step explanation:

Volume of the pyramid = $\frac{1}{3}$ area of its base Multiply by its height

The base of the pyramid is a right angled triangle its legs are 14 and 18

Area triangle = $\frac{1}{2}$ (the length of its base)(the length of its height)

In the right angled triangle its base is one of the two legs of the right angle and its height is the other leg

So area of the base = $\frac{1}{2}(14)(18)=126$

The volume = $\frac{1}{3}(126)(30)=1260cm^{3}$

4 0

3 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

otez555 [7]

Answer:

Distance covered by the boat was 446.27 feet

Step-by-step explanation:

A boat which is at the point C approaching the light house.

At point C angle of depression to the boat was 17°44' and when boat stops at point B angle of depression was 48°13'.

Length of the tower is 200 feet then distance DC traveled by the boat.

Since at point B angle of depression was 17°44' so we will convert the angle in degrees.

Angle of depression = ∠ACB = 17°44' = $17+\frac{44}{60}=17+0.73=17.73$

From ΔABC

tan 17.73° = $\frac{200}{BC}$

$0.320=\frac{200}{BC}$

$BC=\frac{200}{0.32}= 625 feet$

Now in ΔABD

∠ADB = 48°13' = 48° + $\frac{13}{60}=48 + 0.217$ = 48.217°

Now $tan(48.217)=\frac{200}{BD}$

$BD=\frac{200}{1.119}=178.73 feet$

Therefore distance DC = BC - BD

DC = 625 - 178.73 = 446.27 feet

So the answer is 446.27 feet was distance covered by the boat.

8 0

4 years ago

Read 2 more answers

Drag the tiles to the correct boxes. Not all tiles will be used.

maksim [4K]

Factorization of the given polynomial to find the product is as follows;

Factorizing;

$\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} = \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}$

$\dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)}$

Expressing the product in terms of the factors

$\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}$

The steps arranged in the order in which they would be performed are;

First step;

$\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4}$

↓

Second step (factorizing)

$\dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}$

↓

Third step (dividing out common terms)

$\dfrac{(x + 5)}{(x + 2)} \times \dfrac{(x + 2)}{(x + 5)}$

↓

Fourth step (rearranging and removing terms that cancel each other)

1

Learn more here:

brainly.com/question/12723898

4 0

3 years ago

A rectangular field is 50 m long and 30 m broad. All sides of the field have to be walled. Find out the length of the wal

Ulleksa [173]

Answer:

=50×30

= 1500m.

Step-by-step explanation:

field = length = breadth

4 0

3 years ago

Two consecutive odd integers such that 4 times the larger is 29 more than 3 times the smaller

kari74 [83]

Answer:

21

Step-by-step explanation:

a,a+2,..

4(a+2)=29+3a

4a+8=29+3a

4a-3a=29-8

a=21

5 0

2 years ago

Subtract. Write your answer in simplest form. 9 1/2- 1 6/7