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2 years ago

Evaluate 4^radical sign 8 to the nearest ten thousandth.

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

7 0

Answer:

50.4525

Step-by-step explanation:

4^(√8)

4^(2.82842712475)

= 50.452514

Round up to nearest ten thousandths.

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Please help Find the area in square units of ABC△ plotted below.

neonofarm [45]

Answer:

Use the distance formula on both points AC and AB.

Distance formula is this:

\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261

Distance for AC is 16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

the answer is 43.5

6 0

1 year ago

What is the volume of this equation?

Pachacha [2.7K]

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

$V=\frac{a^2 h}{3}$

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

$V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33$

The volume is around 33.33 cubic feet

5 0

2 years ago

Can someone help me out with this question?

goblinko [34]

Answer:

The third option

Step-by-step explanation:

The third option represents 65 over 100, meaning 65% of whatever of it would the 65% of 90 be

6 0

2 years ago

Determine which statement completes each open sentence:

Veronika [31]

Answer:

32 ÷ 8 + 1 __IS NOT EQUAL TO__ 3² - 1

4² __IS NOT EQUAL TO__ 4 • 2

3(x - 4 + x) __IS EQUAL__ 3x - 4 + x

when x = 4

15 ÷ (1 + 2) ___IS NOT EQUAL TO_ 15 ÷ 1 + 2

3(x - 4 + x) __IS NOT EQUAL TO__ 3x - 4 + x

when x = 2

6 0

2 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

2 years ago