Ask question

Ask question

All categories

Diano4ka-milaya [45]

3 years ago

15

On a certain hot summer's day,

1 answer:

svp [43]3 years ago

5 0

524 kids and 262 adults. In total there is 786 people

You might be interested in

Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of

qaws [65]

The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

$cos(\theta) = \frac{adjacent}{hypotenuse}$

$cos(\theta)= \frac{15}{17}$

$cos^{-1}( \frac{15}{17})=\theta$

$\theta = 28.1^{\circ}$

The answer is 28.1 degrees

3 0

3 years ago

The value of the digit 3 in 730,500 is the value of the digit 3 in 73,050

11Alexandr11 [23.1K]

Answer:

3 in 730500

tens of thousands

3 in 73050

thousands

7 0

2 years ago

A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship

morpeh [17]

Answer:

Step-by-step explanation:

a) D/280 = tan(90 - 6)

D = 280tan84 = 2,664 ft

b) D/280 = tan(90 - 16)

D = 280tan74 = 976 ft

ship speed = (2664 - 976) / 43 = 39.2 ft/s

4 0

3 years ago

In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it?

pickupchik [31]

10 whole sandwiches can be made with 2 pounds of cheese if each sandwhich has 3 ounces of cheese on it.

2 pounds = 32 ounces

32/3 = 10.67

8 0

3 years ago