Toby had a package of markers.

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to

AveGali [126]

Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet

Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9

After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.

4 0

3 years ago

Can someone help me pls

Wittaler [7]

Answer:

3 cm

Step-by-step explanation:

$V_{cylinder} = 189\pi \: cm^3$ (Given)

$h_{cylinder} = 21\: cm$ (Given)

Formula for $V_{cylinder}$ is given as:

$V_{cylinder} = \pi r^2h$

$\implies 189\pi = \pi r^2(21)$

$\implies \frac{ 189\pi}{21\pi} = r^2$

$\implies 9 = r^2$

$\implies \pm\sqrt 9 = r$

$\implies \pm 3 = r$

Length of radius can not negative

$\implies r = 3 \: cm$

Hope it helps you in your learning process.

8 0

2 years ago

Read 2 more answers

How many solutions does the following equation have? 10x-1=10x+4

zimovet [89]

Your answer is no solution.
Because if we transpose 10x to the left hand side with a change in the symbol, then it will become 0.
10x - 1 = 10x +4
or, 10x - 10x = 4 + 5
or, 0 = 9
Hence, the equation has no solution.

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0

3 years ago

Read 2 more answers

Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.

Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula: