All categories

4 years ago

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

Mathematics

1 answer:

Paraphin [41]4 years ago

5 0

Check the picture below.

now, let's rationalize the denominator.

$\bf \cfrac{100}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{100\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{100\sqrt{2}}{2}\implies 50\sqrt{2}$

You might be interested in

Based only on the given information, it is guaranteed that LABD CBD. E A D B с O A. True B. False SUBMIT PREVIOUS

kvasek [131]

Answer:

True

Step-by-step explanation:

AD=DC (S)

Angle BAD = Angle BCD (A)

BD is similar side (S)

Therefore it is true because of SAS.

7 0

3 years ago

Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

Artyom0805 [142]

Answer:

Step-by-step explanation:

Given the two inequalities:

$y \ge 2x + 1\\ y \le 2x - 2$

To graph them, first of all, let us write their corresponding equations:

$y = 2x + 1 \\y = 2x - 2$

We now find at least 2 points each which satisfy the equations to plot the graph.

Equation $y = 2x + 1$ :

Putting x = 0, y = 1

Putting y = 0, x = $-\frac{1}2$ .

Two points are (0, 1) and ( $-\frac{1}2$ , 0).

Equation $y = 2x -2$ :

Putting x = 0, y = -2

Putting y = 0, x = 1.

Two points are (0, -2) and (1, 0).

Now, let us plot them.

Let us take a point (1, 4) and check whether it satisfies the first inequality.

$4 \ge 2 \times 1 +1\\\Rightarrow 4 \ge 3$

Which is true.

So, The shaded region will be towards point (1,4).

Let us take a point (1, 4) and check whether it satisfies the second inequality.

$4 \le 2 \times 1 -2\\\Rightarrow 4 \le 0\ [\bold{False}]$

So, The shaded region will be opposite to point (1,4).

Please refer to the attached graph for the answer.

No solution exists for them because there is no common shaded region.

3 0

4 years ago

PLEASE HELP [Area & Circumference]

agasfer [191]

Answer:

circumference=diameter ×pi

=(29×2)× pi

=59×pi

area= pie × radius²

=pi×29²

=841pi

circumference =pi×16.5

area=pi×8.25²

153.94÷pi

radius=square root of 49.00062388

=7.000044563

times by 2

=14.00008913

28.27÷pi

8.998620482=diameter

divide by two to find radius

4.499310241

then square

20.24379265

then times that by pi

=63.59775026

4 0

3 years ago

Please give a real answer. What is the surface area of this composite figure?

Basile [38]

Answer:

$\huge \boxed{SA=294cm^2}$

Step-by-step explanation:

$SA=(6*7)+(6*7)+2[6*4/2]+4(6)+(6*6)$

$168+42+24+24+36$

$SA=294 cm^2$

$-------------$

hope it helps..

have a great day!!

6 0

3 years ago

Karl cuts a piece of paper into an isosceles right triangle with a perimeter of 27 inches. If the longest side measures 11 inche

Sphinxa [80]

Answer:

Area = 32 square inches

Step-by-step explanation:

It is given that ,

1). an isosceles right triangle with a perimeter of 27 inches

Then the base and height are equal

2). the longest side measures 11 inches

To find the smaller side

Then sum of other 2 sides = 27 - 11 = 16

Base = height = 16/2 = 8 inches

To find the are of triangle

Area = 1/2 * Base*Height

Base = 8 inches and Height = 8 inches

Area = 1/2 * 8* 8 = 32 square inches

5 0

3 years ago