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2 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits

Mathematics

1 answer:

eimsori [14]2 years ago

5 0

area is side by side.
so do 6.25*6.25 and that equals 39.0625

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You stand 50 feet from a monument. The angle of depression from the top of the monument to your feet is 64 degrees. Approximatel

Murrr4er [49]

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.

7 0

3 years ago

100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!

natulia [17]

Answer:

Yes, diagonals bisect each other

Step-by-step explanation:

See attached

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

Midpoint of AC has coordinates of:

x = (1 - 1)/2 = 0
y = (4 - 4)/2 = 0

Midpoint of BD has coordinates of:

x = (4 - 4)/2 = 0
y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

7 0

3 years ago

Solve x^2 +14x=15 by completing the square

ivanzaharov [21]

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to rewrite the equation in the form $x^{2}+2ax+a^{2}=(x+a)^{2}$ .

This results in $x^{2} + 14x + 7^{2} = 15 + 7^{2}$ .

Next, we simplify the equation to get $x^{2} +14x+7^{2} = 64$ .

Factoring the left side gives us $(x+7)^{2} = 64$ .

Finally we solve the equations: $x+7=\sqrt{64}$ and $x+7=-\sqrt{64}$ .

This gives us x=1, and x=-15

6 0

3 years ago

Read 2 more answers

Can someone please help me with this?

dsp73

Answer:

$S_{13}$ = 403

Step-by-step explanation:

the sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ (a + l) ← a is the first term and l the last term

here a = - 5 and l = 67 , then

$S_{13}$ = $\frac{13}{2}$ (- 5 + 67) = 6.5 × 62 = 403

3 0

2 years ago

Karen has 10 cups of apple juice she uses 2/3 of it to make fruit punch

Sveta_85 [38]

Answer:

3.33 or 3

Step-by-step explanation:

10 divided by 3 = 3.33 (it goes on) Or maybe you can't pour a third of a cup so maybe 3 or 4.

7 0

3 years ago