Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom. What is the area of the wooden block? *HINT (subtract the semi-circle from the rectangle)* The face of an arch-shaped block. The horizontal side of the block is labeled 9 centimeters and the vertical side of the block is labeled 4.5 centimeters. A semi circle with diameter labeled 5 centimeters is removed from the block.

Here Is A Picture That Shows One Side Of A Child's Wooden Block With A Semicircle Cut Out At The Bottom.

Answers

Answer 1

Answer:

30.7 cm² (nearest tenth)

Step-by-step explanation:

Area of the wooden block = area of rectangle - area of semi-circle

Area of Rectangle = length × width

Length = 9 cm

Width = 4.5 cm

Area of rectangle = 40.5 cm²

Area of semi-circle = ½(πr²)

Radius (r) = ½ of diameter = ½*5 = 2.5 cm

π = 3.14

Area of semi-circle = ½(3.14*2.5²)

Area of semi-circle = 9.8125 cm²

✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)

Answer 2

The area of the wooden block is [tex]30.7 cm^2[/tex].

The calculation is as follows:

We know that

Area of the wooden block = area of the rectangle - area of semi-circle

Here

[tex]Area\ of\ Rectangle = length \times width[/tex]

Here Length = 9 cm

And, Width = 4.5 cm

So,

Area of rectangle = [tex]40.5 cm^2[/tex]

Now  

Area of semi-circle is

[tex]= \frac{1}{2} \pi r^2[/tex]

[tex]= \frac{1}{2} \times 3.14\times 2.5^2[/tex]

= [tex]9.8125 cm^2[/tex]

Now the Area of the wooden block is

= 40.5 - 9.8125

= 30.7

Therefore we can conclude that the area of the wooden block is [tex]30.7 cm^2[/tex].

Learn more: brainly.com/question/13549064


Related Questions

help if you cannn please

Answers

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE

Answers

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?


The measure of angle D is 47 degrees and the measure of angle C is 57 degrees. What is the
measure of angle A?


47
57
76
104

Answers

Answer:

D. 104º

Step-by-step explanation:

So the inside of a triangle is equal to 180º and we already know two of the angles.

D = 47º

C = 57º

47 + 57 = 104

To solve angles A and B, we know that a straight line is 180º and we can figure out the angle of B because now all we have to do is subtract 104 from 180.

180 - 104 = 76, B = 76º

Because we know that a straight line is 180º and we already have the measure of angle B, all we have to do now is subtract 76 from 180.

180 - 76 = 104º

hey does anyone get this?? THANK YOU (MARKING BRAINLIEST)

Answers

Answer:

i. - 3a² + 2ab + b²

ii. 2c² + - 2cd + - 4d²

Step-by-step explanation:

i. First things first, you remove the parenthesis in both expressions to look like this:

a² − 3ab + 2b² - 4a² + 5ab − b²

Next, you add like terms.

(a² + - 4a²) + (- 3ab² + 5ab) + (2b² + - b²)

After adding these like terms, your answer would be:

- 3a² + 2ab + b²

ii. This one is pretty simply. But first, lets simplify by first removing the parenthesis to look like this:

c² - 6d² + c² - 2cd + 2d²

Then, combine like terms

(c² + c²) + (- 2cd) + (-6cd² + 2d²)

After that, your sum would be:

2c² + - 2cd + - 4d²

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

i

(a² - 3ab + 2b²) + (- 4a² + 5ab - b²) ← remove parenthesis

= a² - 3ab + 2b² - 4a² + 5ab - b² ← collect like terms

= - 3a² + 2ab + b²

----------------------------------

ii

(c² - 6d²) + (c² - 2cd + 2d²) ← remove parenthesis

= c² - 6d² + c² - 2cd + 2d² ← collect like terms

= 2c² - 2cd - 4d²

which three lengths could be the lengths of the sides of a triangles

Answers

Answer:

it’s D

Step-by-step explanation:

A) 6 cm, 23 cm, 11 cm

B) 10 cm, 15 cm, 24 cm

C) 22 cm, 6 cm, 6 cm

D) 15 cm, 9 cm, 24 cm

Given the equation y = (1/4)x - 5, what is the zero? Only write the number please

Answers

Answer:

so the zero is (20,0) but just so you know you can go to desmos and it will answer all of your graphing questions.

Step-by-step explanation:

can you please give me brainliest? I would appreciate it soooo much! I just need one more!

PLEASE ANSWER ILL GIVE BRANLIEST

Answers

Answer:

angle A is congruent to angle R

Step-by-step explanation:

when it gets rotated counterclockwise around point X that is how the triangles end up matching up

Answer:

The answer is 1. ∠A ≅ ∠R

Step-by-step explaation:

Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.

The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.

Answers

You will have to go step by step

Answer:

1.88

Step-by-step explanation:

What fraction of an hour is 26 minutes give your answer in its simplest form

Answers

Answer:

13/30

Step-by-step explanation:

26 / 60 because there's 60 mins in an hour

and you can divide both the numerator and the denominator by 2 to get:

13/30, which is the simplest form.

Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)

Answers

Answer:

Ok

Step-by-step explanation:

first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3

Answers

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!

Answers

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

If AB ≅ DE , BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.

WILL MARK BRAINLIEST
PLZ ASAP

Answers

Answer: The statement is true.

Explanation: AB is approximately equal to DE. BC is equal to EF and angle ACB is approximately equal to angle DEF, therefore triangle ABC is approximately equal to triangle DEF.

Hope this helps :)

Answer:

Cannot be determined

Step-by-step explanation:

It can't be determined because AB=DE, BC=EF, and <ACB=<DFE not <DEF which makes the rule SSA which doesn't prove congruency.

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​

Answers

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

Charlie has a $50 gift card to Smoothie World. He purchased the same smoothie 8 times and has $14 left on it. What was the price of each smoothie?

Answers

Answer:

Each smoothie was $4.5.

Step-by-step explanation:

We know that he has $50 to use, and after he used it he had $14 left. That means he used $36.

If you divide 36 by 8, you get 4.5

Hope this helped! :D


The price of each smoothie was 4.5

50-14=36
36/8=4.5

HELPPPP.

Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?​

Answers

Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.

Please helpp middle school math

suppose 4<a<7. find all the possible values of 15-2a​

Answers

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

Which is correctly written in standard form of y=-6/7x+12

Answers

Answer:

6x + 7y +84

Step-by-step explanation:

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation in standard form is given as,

ax + by + c = 0

Where -a/b is the slope of the line and c/b is the y-intercept of the line.

The linear equation in slope-intercept form is given below.

y = -(6/7)x + 12

Convert the equation into a standard form. Then we have

y = -(6/7)x + 12

y = (-6x + 84) / 7

7y = - 6x + 84

6x + 7y - 84 = 0

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

which equation represents the graphed function?
• y=4x - 2
• y=-4x-2
•y= 1/4x-2
•y=-1/4x-2

Answers

y=1/4-2 is the correct answer. you go up one and over four. the y-intercept is -2

Answer:

y= 1/4x-2

Step-by-step explanation:

Let's use the two points we have to find the equation.

y = mx + b

-2 = m(0) + b

So b = -2

-1 = 4m - 2

4m = 1

m = 1/4

i don’t know how to do this

Answers

Answer:

A2: 55

A1: 99-55+x:180

X:26

yes she do break even because let me show you a expression now take a number line and then you start at -16 right and then you go down the number line and then this is how it go -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 and i just answer your Q there you go -16+16=0

Answers

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(-2,8), (r, 4), m =-1/2

Answers

Answer:

[tex]r=6[/tex]

Step-by-step explanation:

Make an equation in point-slope form where:

the equation is [tex]y-y_{1}=m(x-x_{1})[/tex]m is the slopey1 and x1 are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]

Insert the known values:

[tex](-2_{x1},8_{y1})\\\\m=-\frac{1}{2} \\\\y-8=-\frac{1}{2} (x-(-2))\\\\y-8=-\frac{1}{2} (x+2)[/tex]

Use the distributive property:

[tex]-\frac{1}{2} (x+2)\\\\-\frac{1}{2}(x)-\frac{1}{2}(2)[/tex]

Simplify. Turn the 2 into a fraction by converting to the fraction [tex]\frac{2}{1}[/tex] , which is still equal to 2:

[tex]-\frac{1}{2}(2)\\\\-\frac{1}{2}*\frac{2}{1}[/tex]

Multiply across:

[tex]-\frac{1}{2}*\frac{2}{1} =-\frac{2}{2} =-1[/tex]

Re-insert into the equation:

[tex]y-8=-\frac{1}{2}x-1[/tex]

Solve for y. Add 8 to both sides (to isolate y using inverse operations):

[tex]y-8+8=-\frac{1}{2}x-1+8\\\\y=-\frac{1}{2}x+7[/tex]

Now insert the y value of the other point to find r (which will have the same value as x):

[tex](r_{x},4_{y})\\\\4=-\frac{1}{2}x+7[/tex]

Simplify the fraction by multiplying. Add 1 as the denominator for x:

[tex]-\frac{1}{2}*\frac{x}{1}[/tex]

Multiply across:

[tex]-\frac{1}{2}*\frac{x}{1}=-\frac{x}{2}[/tex]

Re-insert:

[tex]4=-\frac{x}{2} +7[/tex]

Subtract 7 from both sides (to isolate the variable using inverse operations):

[tex]4-7=-\frac{x}{2} +7-7\\\\-3=-\frac{x}{2}[/tex]

Multiply both sides by 2 (to undo the fraction using inverse operations):

[tex]2(-3)=2(-\frac{x}{2}) \\\\-6=-x[/tex]

Divide both sides by -1 (to make the variable positive, since two negatives make a positive):

[tex]\frac{-6}{-1} =\frac{-x}{-1} \\\\x=6[/tex]

Therefore, the value of r is 6.

:Done

Question 2
1 pts
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation: D2 (1, y) = (2x, 2y). Find D4 for point
A (-2, 3).

Answers

Given:

A dilation centered at the origin with a scale factor of 2 can be denoted

with the following notation:

[tex]D_2(x,y)=(2x,2y)[/tex].

To find:

The [tex]D_4[/tex] for point  A (-2, 3).

Solution:

If [tex]D_2(x,y)=(2x,2y)[/tex], then

[tex]D_4(x,y)=(4x,4y)[/tex]

Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point  A (-2, 3).

[tex]D_4(-2,3)=(4(-2),4(3))[/tex]

[tex]D_4(-2,3)=(-8,12)[/tex]

Therefore, [tex]D_4[/tex] for point  A (-2, 3) is (-8,12).

Please help me---------------------------

Answers

Answer:

Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.

The solution is: (1.2, -1.6)

Step-by-step explanation:

You can also test this by plugging the values of the point into both equations.

i need help! ASAP!:(

Answers

Answer:

18(40/360) + 9( 140/360) -3(90/360) -7(90/360)

=2 + 3.5 - 0.75 - 1.75

= $3

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour?

Answers

Answer:

6.75 miles

Step-by-step explanation:

First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.

Solve the inequality: 10x<2x+12

Answers

Answer:

10x<2x+12

-2x    -2x  

8x<12

--  --

8    8

x<1.5

What is the percent of change from 4,000 to 5,000?

Answers

Answer:25 percent increase or raise from 4000 is 5000Step-by-step explanation:

(5000 - 4000)/4000 x 100 = (1000/4000) x 100 = 25%

hope this help! ^^

PLEASE HELP WILL MARK BRAINLIEST FOR GOOD AND CORRECT ANSWERS :)

===================================================================

Try to solve the following quadratic equations using the factoring method. If it doesn't work, use the quadratic formula. Sketch the parabola.






1) y = x^2 + 3x + 1














2) y = x^2 + 4x - 8












3) y= x^2 - 5x - 12

Answers

Answer:

Step-by-step explanation:

1) x² + 3x + 1 = 0

a = 1    b = 3     c = 1

=> Δ = b² - 4ac = 9 - 4.1.1 = 5 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{-3+\sqrt{5} }{4}[/tex]

or  x = [tex]\frac{-3-\sqrt{5} }{4}[/tex]

2) x² + 4x - 8 = 0

a = 1    b' = 2    c = -8

Δ' = b'² - ac = 4 - 1.(-8) = 12 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{-2+\sqrt{12} }{1}=-2+\sqrt{12}[/tex]

or x = [tex]-2-\sqrt{12}[/tex]

3) x² - 5x -12 = 0

a = 1       b = -5    c = -12

Δ = b² - 4ac = 25 - 4.1.(-12) = 25 + 48 = 73 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{5+\sqrt{73} }{2}[/tex]

or x = [tex]\frac{5-\sqrt{73} }{2}[/tex]

another writing equations point and slope.
through (-5,3) slope -3/10

Answers

Answer:

m = 7/2

Step-by-step explanation:

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