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3 years ago

HELP RSM PLZ ITS DUE LATER TODAY PLZ I NEED HELP

Mathematics

2 answers:

Dmitry [639]3 years ago

4 0

Answer:

A = 14 units^2

Step-by-step explanation:

The figure is a triangle

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 7)*4

A = 14 units^2

melamori03 [73]3 years ago

4 0

Answer:

Area of triangle is 14 square units.

Step-by-step explanation:

Area of figure is given by

Area of triangle = 1/2 × b × h

where, b is the base and h is the height of triangle.

Substitute the values,

Area of triangle = 1/2 × 7 × 4

multiply

Area of triangle = 1/2 × 28

Divide , to get

Area of triangle is 14 square units.

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Solve for x 6 (8X minus 1) equals 9 (x + 2)

Oxana [17]

Answer:

x = $\frac{8}{13}$

Step-by-step explanation:

Given

6(8x - 1) = 9(x + 2) ← distribute parenthesis on both sides

48x - 6 = 9x + 18 ( subtract 9x from both sides )

39x - 6 = 18 ( add 6 to both sides )

39x = 24 ( divide both sides by 39 )

x = $\frac{24}{39}$ = $\frac{8}{13}$

8 0

3 years ago

25.3 = s + 6.2<br><br> s= unknown

den301095 [7]

Answer:

s = 19.1

Step-by-step explanation:

Simplifying

25.3 = s + 6.2

10011813 avatar

Solving

25.3 = 6.2 + s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-1s' to each side of the equation.

25.3 + -1s = 6.2 + s + -1s

Combine like terms: s + -1s = 0

25.3 + -1s = 6.2 + 0

25.3 + -1s = 6.2

Add '-25.3' to each side of the equation.

25.3 + -25.3 + -1s = 6.2 + -25.3

Combine like terms: 25.3 + -25.3 = 0.0

0.0 + -1s = 6.2 + -25.3

-1s = 6.2 + -25.3

10011813 avatar

Combine like terms: 6.2 + -25.3 = -19.1

-1s = -19.1

Divide each side by '-1'.

s = 19.1

Simplifying

s = 19.1

4 0

2 years ago

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

3 years ago

42=Wf×64 (what fraction)

Dmitry [639]

So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much

42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32

the answer is 21/32 in simplest form

7 0

3 years ago

Evaluate log38, given log32 ≈ 0.631.

ArbitrLikvidat [17]

$\log_38-\log_32^3=3\log_32\approx3\cdot0.631=1.893\\\\Used:\log_ab^n=n\cdot\log_ab$

4 0

3 years ago

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