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3 years ago

Can help me find area and perimeter step by step

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

area: 16.28 ft²
perimeter: 17.05 ft

Step-by-step explanation:

The figure is shown as being composed of a semicircle and a triangle. You know the formula for the area of a circle is ...

A = πr²

The radius of the semicircle is half its diameter, so is (4 ft)/2 = 2 ft. Then the area of a circle with radius 2 feet is ...

A = π(2 ft)² = 4π ft²

Our semicircle has half that area, so ...

area of semicircle = (4π ft²)/2 = 2π ft² ≈ 6.283 ft²

The area of the triangle is given by the formula ...

A = (1/2)bh

Here, the base is shown as 4 ft, and the height is shown as 5 ft. Then the triangle area is ...

triangle area = (1/2)(4 ft)(5 ft) = 10 ft²

So, the total area of the composite figure is ...

figure area = area of semicircle + triangle area

= 6.283 ft² + 10 ft² ≈ 16.283 ft² . . . . area of the figure

The perimeter of the curved portion of the semicircle is half the circumference of a circle of radius 2 ft. It will be ...

curved perimeter = (1/2)(2πr) = πr = π(2 ft) = 2π ft ≈ 6.283 ft

The length of each side of the triangle can be found from the Pythagorean theorem. Each side of the triangle is the hypotenuse of a right triangle with legs 2 ft and 5 ft. Then it will be ...

triangle side length = √(2² +5²) ft = √29 ft ≈ 5.385 ft

The total perimeter is ...

perimeter = 2 × triangle side length + semicircle length

= 2×(5.385 ft) + 6.283 ft = 17.054 ft

The perimeter of the figure is about 17.05 feet.

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Work out (3.42 x 10-7) = (7.5 x 10-6) Give your answer in standard form.

Vera_Pavlovna [14]

Answer:

0.24510

Step-by-step explanation:

3 0

3 years ago

Can someone please help me it's worth ten points

STatiana [176]

1. Line 3 is the first error. In order to get rid of the 25, you add it to both sides, not subtract. So, your answer is B.

2. Line 1 because it says in the question "4 less than a number" and the equation adds 4, instead of subtracting. Your answer is A.

3. Line 4. To get rid of the 6 in front of 6x, you have to divide by it, but instead they multiply. So, your answer is C.

4. To solve this, you will use the distributive property first:
$4(x-3)=16$
Turns into:
$4x-12=16$
Get rid of the 12:
$4x=28$
Divide by 4:
$x = 7$
Your answer is B.

5. You have to set it up:
$\frac{x}{3} = -11+4$
Just solve for x:
$\frac{x}{3} = -7$
Multiply both sides by 3 to isolate x:
$x = -21$

Your answer is B.

Hope this helps, if any step doesn't make sense, feel free to tell me!

5 0

4 years ago

Read 2 more answers

In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?

Goshia [24]

Step-by-step explanation:

✰ $\underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :$

AD = 15 , AB = 8 , $\angle$ DAB

✰ $\underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :$

Height & Area of the given parallelogram

✰ $\underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :$

In right angled triangle ABE :

Hypotenuse ( h ) = 8
Perpendicular ( p ) = h [ height ]
$\theta$ = 20°

Now , Using trigonometric ratio :

$\large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}$

Plug the known values :

⟶ $\large{ \tt{ Sin(20) = \frac{h}{8} }}$

⟶ $\large{ \tt{0.34 = \frac{h}{8}}}$

⟶ $\large{ \tt{h = 0.34 \times 8}}$

⟶ $\large{ \tt{h = 2.72}}$

Now , We have :

Base ( b ) = 15
Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ $\underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}$

⟶ $\large{ \tt{A = 15 *2.72}}$

⟶ $\large{ \tt{A = 40.8 \: {units}^{2} }}$

Hence , Our final answer :

$\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}$

$\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# $\underbrace{ \tt{Carry \: On \: Learning}}$ !! ✎

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3 years ago

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s344n2d4d5 [400]

Answer: Number 9 is a rational and all the rest are not

Step-by-step explanation:

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3 years ago

Solve the following expressions using logarithm and Antilogarithm .

katrin [286]

Answer:

0.01688496
0.3449537
0.05002308
2.0375623
0.4162862

Step-by-step explanation:

Some formulas to help

log ab = log a + log b
log a/b = log a - log b
log a^b = b log a
antilog (log a) = a, antilog is the inverse of log
get values of log and antilog by using calculator or online calculator ( I used online calculator for this problem)
round numbers as required, I left them as is

1. Let the number be x, solving to show the method

√0.0002851 = x
log √0.0002851 = log x
1/2 log 0.0002851 = log x
1/2(-3.545) = log x
log x = -1.7725
antilog (log x) = antilog (-1.7725)
x = 0.01688496

2. Short of the above method, will apply to this and following

$\sqrt[7]{0.0005812}$ =
antilog (1/7 log (0.0005812)) =
antilog (1/7(-3.23567439437)) =
antilog (-0.46223919919) =
0.3449537

3. .........................................

2.714^3 =
antilog (log 2.714^3) =
antilog (3 log 2.714) =
antilog (3*0.43360984332) =
antilog (1.30082952996) =
0.05002308

4..........................................

35.12^(1/5) =
antilog (1/5 log (35.12)) =
antilog (1/5*1.54555450723)
antilog (0.30911090144) =
2.0375623

5. .........................................

(0.07214)^(1/3) =
antilog ( 1/3 log (0.07214)) =
antilog (1/3*(-1.14182386202 )) =
antilog ( --0.380607954 )=
0.4162862

Let me know if anything is not clear. Hope it helps.

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3 years ago