Mathematics College

Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.

Answers

Answer 1

The required area of the figure is 100.75 units².

What is area?

Area of an object shows that how much space it can cover.

Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,

We need to find the area of the figure,

To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,

Area of a rectangle = length × width = 14 × 10 = 140 units²

Area of a semicircle = π × radius² / 2

Here the diameter of the semicircle will be the width of the rectangle,

So,

Diameter = 10

Radius = 5

Area of a semicircle = 3.14 × 25/2 = 39.25 units²

Now,

The area of the figure = 140 - 39.25 = 100.75 units²

Hence, the required area of the figure is 100.75 units².

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Related Questions

A fair die is rolled 11 times. What is the probability of rolling a 4 on the die 4 times? Express your answer as a decimal rounded to 4 decimal places after the decimal point.

Answers

i think it’s 4/11

check out my other answers and mark me brainliest please !!!!

The probability of rolling a 4 on the die 4 times out of the total 11 times that it was rolled is; 0.0007716

How to solve probability?

We are given;

Number of times dice is rolled = 11

Now, on a die, there are 6 numbers and as such probability of getting a 4 is; P(getting a 4) = 1/6

Thus;

probability of rolling a 4 on the die 4 times = (1/6)⁴

⇒ 0.0007716

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The equation
(p-1)x^2 + 4x + (p-5)=0, where p is a constant,
has no real roots.
(a) Show that p satisfies p^2 - 6p+1>0.

Answers

Answer:

Proof is shown below.

Step-by-step explanation:

Use quadratic Formula, where from the standard form ax^2 + bx + c = 0, where a is not zero, we identify a = p-1, b=4, c = p-5, and since the given equation has no real roots, the discriminant b^2 - 4ac < 0, so that substituting we have that,

4^2 - 4(p-1)(p-5) < 0

16 - 4(p^2 - 6p + 5) < 0

16 - 4p^2 +24p - 20 < 0

-4p^2 + 24p - 4 < 0,

p^2 - 6p + 1 > 0, by dividing both sides of the inequality by -4.

Pls help I need a good grade I’ll add extra points

Answers

Answer:

Step-by-step explanation:

you have to write about the remaining people if they had gas problems and write what happened next maybe he was arrested for the sauce made Thanks

SHOW WORK. Algebra question 100 POINTS! Easy

Answers

[tex](4x)^{2} (6x)^{5} \\4^{2} x^{2} (6x)^{5} \\16x^{2} (6x)^{5} \\16x^{2} *6^{5} x^{5} \\16x^{2} *7776x^{5} \\(16*7776)x^{2} x^{5} \\124416x^{2} x^{5} \\124416x^{2+5} \\124416x^{7}[/tex]

Answer:

C. 96x⁷

Step-by-step explanation:

(-4x)²(6x⁵) = (-4)²*x²*(6x⁵) =16x²*6*x⁵ =(16*6)*x²⁺⁵ =96x⁷

Your choice is correct

If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?

Answers

Answer:

50 ft

Step-by-step explanation:

The area of a rectangle = width × depth

area = 2,500 ft²

width = 50 ft

Substitute the values into the formula:

2,500 = 50 × depth

Divide both sides by 50 to find the depth:

2500 ÷ 50 = depth

depth = 50 ft

will mark brainlest answer the question in the picture linked below
and explain as well

Answers

Answer:

¹⁰√4

Step-by-step explanation:

4^(2/5*1/4)

4^(1/10)

¹⁰√4

8x - 8 - x = 3 (6 - 2x)

Answers

Answer:

x = 2

Step-by-step explanation:

−

(

−

)

{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)

8x−8−x=3(6−2x)

−

(

−

)

What two numbers multiply to 10 and add to 9

Answers

Did you mean -10? If so that is -1 and 10. 10 and 9 is not possible to answer.
-1+10=9
-1*10=-10

Evaluate v(x) = 12 - 2x - 5 when x = -2, 0, and 5

Answers

Answer:

Step-by-step explanation:

Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm

Answers

210cm is the answer to the question

the cash cost is 4700.00 she decides to finance the project by paying 7.0% down and pays 740.00 for 6 months what is the finance charge

Answers

7% of 4700 = 329
740 x 6 = 4440
Total cost = 329 + 4440 = 4769
The extra cost of instalments = 69

<1 and <2 are complementary. Solve for the measure of <1.

<1 = 12x + 4
<2 = 9x + 2

A. 52
B. 4
C. 38
D. 8.3

Answers

I think it’s letter b 4

A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in feet is given by the polynomial −16t2 + 83t + 33, where t is the time in seconds. How high will the rocket be after 3 seconds?

a. 2586 feet
b. 234 feet
c. 138 feet
d. 105 feet

Answers

Answer:

c. 138 feet

Step-by-step explanation:

h(t) = −16t^2 + 83t + 33

At3 seconds

h(3) = -16(3^2) + 83(3) + 33

h(3) = -16(9) + 249 + 33

h(3) = -144 + 249 + 33

h(3) = 138

c. 138 feet

Which of the following functions is graphed below?

Answers

Answer:

ITS A

Step-by-step explanation:

the y intercept is at positive 4 so y will be at 4

I want to say A, but at the same time, is the x in an absolute value function?

Question Choice Worth 2 points)
(02.06Derek has a bird that weighs 4 pounds. Use the double fine diagram below to help you determine approximately how many kilograms this bird weighs
3 5 7
Pounds
1 2 3
Kilograms
15 klograms
O2 xilogram
5 kilograms
7 kilograms

Answers

A is the Roth answer

Balto” is a 6 year old 35 kg intact husky mix. He presents through the ER after likely being HBC (hit by car) with anisocoria and nystagmus, both signs of head trauma. The doctor instructs you to give 1 g/kg mannitol IV to decrease intracranial pressure. Mannitol is a 20 % solution. How many grams will “Balto” receive? How many mgs? How many mls?

Answers

If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.

What is percent concentration?

Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.

Thus, If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.

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GUYS IS THIS CORRECT? CLASS 6 MATHS

Answers

Answer:

yes these all are correct

Express (x + 2)² + 9 = 0 in standard form

Answers

Formula = (a + b)^2 = a^2 + 2ab + b^2

x^2 + 4x + 4 + 9 = 0
x^2 + 4x + 13 = 0

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D

The percent of change from 200 to 220 and indicate if it is an increase or decrease.

Answers

Answer: Increase

Step-by-step explanation:

Essay buys 3 apples, 5 bananas, and 7 peaches from a market. What is the ration of bananas to total fruit in simplest form?

Answers

Answer:

5:15 or 1:3

Step-by-step explanation:

Answer:

1 : 3

Step-by-step explanation:

Number of bananas = 5

Total fruits = 15 (3 + 5 + 7)

Ratio = 5 : 15

Simplified form = 1 : 3

I need the answer ASAP

Answers

Answer:

Step-by-step explanation:

49 i Think I dont know but your part A is correct

Answer:

49 For sure is your answer

If this is the graph of f(x)= a(x+h) +k, then:

Answers

Answer:

The forth one as both are positive the domain = x ascending = + h and the range = y where y = k the vortex and both include infinity

Step-by-step explanation:

Answer:

Step-by-step explanation:

Apie

Write the answer to 6 2/5 × 4 in improper fraction form AND mixed number form.

Improper fraction:
-------------------------

Mixed number: -------------------------
(whole number + fraction number

Answers

Answer:

6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.

32/5 * 4/1 = 128/5

128/5 is the improper fraction

and the mixed number is 25 3/5

Step-by-step explanation:

6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.

32/5 * 4/1 = 128/5

What is the midpoint of the line segment from (5,-2) to (1,-5)?

Answers

To find the midpoint do, [(x1 + x2)/2], [(y1 + y2)/2]

5 + 1 = 6/2 = 3
-2 + -5 = -7/2 = -3.5

(3, -3.5)

Answer:

(3, -3.5)

Step-by-step explanation:

Using midpoint formula:

M = (x1 + x2/2 , y1 + y2/2)

By inserting the points you'll find the answer:

M = (5 + 1/2 , -2 + -5/2)

M = (6/2 , -7/2)

M = (3 , -3.5)

In what quadrant will the reflection of (7,7) be located in

Answers

Answer:

the first quadrant is positive, and positive so it would be the first quadrant

Step-by-step explanation:

Evaluate the solid bounded by 2x + z = 2 and (x − 1)^2 + y^2 = z. Sketch the given solid.

Answers

Answer:

resuelve la pregunta*

Step-by-step explanation:

tu mamá es mi mamá

а
Mamadou has a points card for a movie theater.
• He receives 55 rewards points just for signing up.
• He earns 7-5 points for each visit to the movie theater.
• He needs at least 100 points for a free movie ticket.
.

Answers

Answer:

7· 5n + 55 ≥ 100 is required inequality

Step-by-step explanation:

Let he visit be theater x time

→ for new movie ticket

→55+7·5xn≥100

→7·5n+55≥100

Hence, 7· 5n + 55 ≥ 100 is required inequality

Answer:

Inequality: 7.5v+55≥100

Answer: v≥6

Step-by-step explanation:

Have a good day :)

3
Parallel to y = - -*+2 and goes through the point (5, -7)
S
please help it’s due next period

Answers

I’m not even sure hope it helped lol

3.
1. The 20 students on the math team want to raise $490 to buy practice books.
They have already raised $220. If each student raises the same amount, how
much more money must each student raise?

Answers

Answer:

Each student must raise $13.50

Step-by-step explanation:

490-220=270 left to raise

270÷20=13.50

A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 24000
kilograms. Other shipments weighing 5900 kilograms have already been loaded into
the container. What is the greatest number of 120-kilogram crates that can be loaded
into the shipping container?

Answers

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

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