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3 years ago

3. Approximate square root v15

Mathematics

1 answer:

baherus [9]3 years ago

4 0

Answer:

Step-by-step explanation:

$\sqrt{15}\\=3.87298\dots \\\\= 4$

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Given<br> .<br> f(x) = 3x2 + 4x – 30 find f (4)<br> Show your work on the sketch pad below.

weeeeeb [17]

Answer:

Step-by-step explanation:

f(4) = 3*(4)^2 + 4*(4) -30

f(4)=48 + 16 -30

=34

4 0

2 years ago

What is the length of segment AB with point A and B located at (-4, 1) and (2, 9)

navik [9.2K]

Answer:

<h3>The answer is 10 units</h3>

Step-by-step explanation:

The distance between two points or a line segment can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 1) and (2, 9)

The length of segment AB is

$|AB| = \sqrt{ ({ - 4 - 2})^{2} + ({1 - 9})^{2} } \\ = \sqrt{( { - 6})^{2} + ({ - 8})^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

<h3>10 units</h3>

Hope this helps you

4 0

2 years ago

Read 2 more answers

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

$AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7$

Similarly,

$BC=\sqrt{(5-(-2))^2+(4-4)^2}=7$

$CD=\sqrt{(5-5)^2+(4-(-3))^2}=7$

$AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7$

It is conclude that, $AB=BC=CD=AD$ .

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

$P=4a=4(7)=28\text{ yards}$

Area of square floor is

$A=a^2=7^2=49\text{ sq. yards}$

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0

2 years ago

What is the approximate surface area of a cylinder that's base has a radius of 2, and it's lateral rectangle has a length of 6.2

Kisachek [45]

Answer:

Surface area of cylinder = 50.26 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of base r = 2 units

Width of lateral rectangle = 4 units

Length of lateral rectangle = 6.28 units

Find:

Surface area of cylinder

Computation:

Surface area of cylinder = 2[Area of base] + Area of lateral rectangle

Surface area of cylinder = 2[πr²] + [l][b]

Surface area of cylinder = 2[(22/7)(2)²] + [6.28][4]

Surface area of cylinder = 2[(22/7)(4)] + 25.12

Surface area of cylinder = 25.14 + 25.12

Surface area of cylinder = 50.26

Surface area of cylinder = 50.26 unit² (Approx.)

7 0

2 years ago

Please please please help

kenny6666 [7]

Answer: 2nd option

Step-by-step explanation:

5 0

2 years ago