A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.

Answers

Answer 1

Answer:

941.33 in^2.

Step-by-step explanation:

The area of a semicircle = 1/2 area of circle = 1/2 * 3.14 * radius^2.

The radius = 1/2 * 26 = 13 in.

Total area = area of square + area of semicirccle

= 26^2 + 1/2 * 3.14 * 13^2

= 676 + 265.33

= 941.33 in^2.


Related Questions

Can someone help me please!!?

Answers

Answer:

AB=21

Step-by-step explanation:

14 is to (14 +12)   as   AB  is to (AB + 18)

14 / 26 = AB / (AB+18)      <===== cross multiply

14 (AB + 18) = 26 AB

AB = 21

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.15x2 − 6x + 400

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:

Answers

The function of the production cost is a quadratic function, and the maximum production cost of the company is $340

How to determine the maximum production cost of the company?

The function of the production cost is given as:

f(x) = 0.15x² - 6x + 400

Differentiate the function

f'(x) = 0.3x - 6

Set the function to 0

0.3x - 6 = 0

Add 6 to both sides

0.3x = 6

Divide both sides by 0.3

x = 20

Substitute x = 20 in f(x) = 0.15x² - 6x + 400

f(20) = 0.15 * 20² - 6 *20 + 400

Evaluate

f(20) = 340

Hence, the maximum production cost of the company is $340

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K is the midpoint of JL if JK =10x and KL = x + 9 what is KL

Answers

Answer:

Step-by-step explanation:

JL = JK + KL

JL = 10x + x + 9

JL = 11x + 9.

A triangular swimming area is marked off by a rope.

a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?

Answers

#a

Perimeter=Sum of sides

400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m

#b

Area:-

1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

Find the area of the window.

Answers

Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512

What is the 30th term of the following arithmetic sequences
17, 21, 25, ...

Answers

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

You roll a number cube 120 times. How many times can you expect the number cube to land on a six?​

Answers

Answer:

10 or 6

Step-by-step explanation:

pls tell me if im wrong

PLSS I NEED HELP!!
1). To make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury. It only takes Earth 1 day! How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.

2). Some plants grow quickly. An invasive weed species can grow quickly. One variety grows up to 0.89 ft per day. How fast in inches per hour can this weed grow? Show your work using the correct conversion factors.

3). David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch.
a). What part of the expression represents the cost of the repair before tax?
b) Explain what your answer in Part A means in the context of the problem.

Answers

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Time calculation

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

59 x 24 + 19 + 0.75 = X1416 + 19.75 = X1435.75 = X

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

0.89 / 24 = ft per hour0.037 = ft per hour1 ft = 12 inches0.037 x 12 = 0.445

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Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent

Answers

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

Find YW, would it just be 6?

Answers

Answer:

6

Step-by-step explanation:

AX=1/2XY,. BX=1/2WX

=) AB||WY and AB=1/2WY. [Midpoint theorem]

=) 2AB=WY

=) 2×3=WY

=)6=WY

PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)

THE MIDLINE THEOREM OF A TRIANGLE

This works for triangles with a Midline having two of these properties:

The midline should be parallel to the third sideThe midline is half as long as the third side

The third side of the triangle (the one parallel to its midline) is twice the length of its midline.

Example:

The given question above:

ΔWYX

(Midline) AB = 3

YW = ?

Solution:

[tex]\frac{1}{2}[/tex] YW = AB

[tex]\frac{1}{2}[/tex] YW = 3

YW = (2)3

YW = 6

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Suppose you are interested in studying whether temperature affects spatial reasoning abilities. You decide to test spatial reasoning using completion time scores for the paper-folding test with five people, repeating the test on each person with three different temperatures (40 degrees, 60 degrees, and 80 degrees Fahrenheit).


In this experiment, the null hypothesis is that:


a. There are no differences in the mean completion times among the temperatures compared

b. There are no individual differences in the completion time means

c. The completion time mean for at least one temperature is different from another


The factor of interest is the ____________, and the dependent variable is the ___________

Answers

The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".

What is a null hypothesis?

This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.

This implies the temperature has no effect on the completion times of the paper-folding test.

What is the factor of interest?

It is the effect of temperature because this is the factor being manipulated on purpose.

What is the dependent variable?

This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.

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Line t is tangent to the circle. Find the measure of arc DEF.

Answers

Answer: 234 degrees

Step-by-step explanation:

Angle formed by a chord and a tangent has half the measure as the arc formed by the chord

The value of measure of arc DEF is,

⇒ 234 degree

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Hence, We know that;

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.

Thus, The value of measure of arc DEF is,

⇒ 2 x 117 degree

⇒ 234 degree

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what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8

Answers

The area of the trapezoid, to the nearest whole number is: D. 8 units²

What is the Area of a Trapezoid?

Area of trapezoid = 1/2(a + b)h, where:

h = height of trapezoida and b = lengths of the bases of the trapezoid.

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

h = 3 unitsa = 3 unitsb = 2 units

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

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Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .

Answers

Answer:

okay so the area is 1386inches2

Step-by-step explanation:

[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]

The owner of a food cart sells an average of 60 frozen treats per day during the summer. Which graph best shows the relationship between the number of days and the number of frozen treats sold?
A) A
B) B
C) C
D) D

Answers

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

What is graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

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3 1/4 - 1 3/5 | please help !!

Answers

Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.

Answers

Answer:

722.5792 cm²

Step-by-step explanation:

1 in ≈ 2.54 cm

Squaring both sides:

⇒ (1 in)² ≈ (2.54 cm)²

Apply exponent rule (ab)² = a²b²

⇒ (1)² in² ≈ (2.54)² cm²

⇒ 1 in² ≈ 6.4516 cm²

Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:

⇒ 112 in² ≈ (112 × 6.4516) cm²

               = 722.5792 cm²

can someone explain this pls

brainliest

Answers

You need to add up the sides in order to find your answer

1/2 of 4/5 as a fraction

Answers

Answer:

4/10 is the answer

( 1 * 4 ) / ( 4 * 5 ) = 4 / 10

4 / 10 = 2 / 5

Answer number 3 pleaseee

Answers

Answer:B=24 in²

B'=12 in²

B^=6 in²

I think the answer is B

Step-by-step explanation: I put the explaination with the answer

Answer:

C

Step-by-step explanation:

24 × 1/2 = 12

can we be friends?


What is the approximate area of the shaded region?
Use 3.14 for pi
12.6 units
28.3 units
50 2 units
78.5 units

Answers

Answer:

A

Step-by-step explanation:

How do you solve 2. 310x/4y times 8y/5x =

Answers

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]


[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

given g(x)= cubed root of x-5,on what interval is the function negative?
a. (-infinity,-5)
b. (-infinity,5)
c. (-5,infinity)
d. (5,infinity)

Answers

The cube root function is negative on the interval (-∞, 5), so the correct option is b.

When the function is negative?

Here we have the cube root function:

g(x) = ∛(x - 5)

This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:

x - 5 < 0

x < 5

So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.

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Write an expression that is equivalent to 110% of a quantity, n

Answers

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Study the image.

Make a personal connection to the photo. In three to five sentences, write a short essay that explains what type of lighting setup was used and what this image makes you think about. Use specific details in describing what the photo reminds you of personally.

Answers

Answer:

he is on high depression

he is so success ful guy

he makes an advertisement of some thing

he advertises watch

he see going to be a future doing on his life

Find the missing side of the right triangle.

options:

6.5 ft


7 ft


5.5 ft


6 ft

Answers

Answer:

6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.

Eliminate the parameter.


x = 5t, y = t + 8 (2 points)

Answers

Answer: y = [tex]\frac{1}{5}[/tex]x + 8

Step-by-step explanation:

       This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.

     Given:

x = 5t

    Divide both sides of the equation by 5:

t = [tex]\frac{1}{5}[/tex]x

     -

    Given:

y = t + 8

    Plug in:

y = ([tex]\frac{1}{5}[/tex]x) + 8

    Answer:

y = [tex]\frac{1}{5}[/tex]x + 8

what is 1,455.8 x 4,628.9?

Answers

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

Answers

Answer:

Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?

Answers

Answer:

Late because 12 were on time so 5 would be late

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