Can you help? I'll give brainliest

What is the 50th term in the sequence if the first term is 0 and the common difference is -7?

3241004551 [841]

Answer:

-343

Step-by-step explanation:

tn=a+(n-1)d

0(50-1)*-7

-343

4 0

3 years ago

Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘.

stiv31 [10]

Answer:

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(10^{\circ})=\frac{120}{x}$

$x=\frac{120}{\text{tan}(10^{\circ})}$

$x=\frac{120}{0.176326980708}$

$x=680.5538183559$

Upon rounding to nearest foot, we will get:

$x\approx 681$

Therefore, the campsite is 681 feet away from the base of the cliff.

4 0

3 years ago

A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is

Aleks04 [339]

Answer: 9+23p ≤ 170

Step-by-step explanation:

9+23p≤170

23p ≤ 170-9

23p ≤ 161/23

p≤7

5 0

2 years ago

Read 2 more answers

Mrs. Kermit has 29 markers. She gives 12 markers to Mr. Cooke and divides the rest among 5 other teachers. If each of the teache

romanna [79]

Answer: 2 markers.

Step-by-step explanation:

1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:

29 markers-12 markers=17 markers

2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:

17 markers/5=3.4 markers

3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.

3. The number of markers that will be left over is:

17 markers-(5*3 markers)=2 markers

8 0

4 years ago

Someone please help me with this

Sedbober [7]

Answer:

The area of the shaded figure is:

20 units^2

Step-by-step explanation:

To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):

Area of a rectangle = long * wide
Area of a rectangle = 6 * 4
Area of a rectangle = 24 units^2

How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

Area of a triangle = $\frac{wide*height}{2}$
Area of a triangle = $\frac{4*2}{2}$
Area of a triangle = $\frac{8}{2}$
Area of a triangle = 4 units^2

In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

Area of the shaded figure = Area of the rectangle - Area of the triangle
Area of the shaded figure = 24 units^2 - 4 units^2
Area of the shaded figure = 20 units^2

I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.

5 0

3 years ago