What are the dimensions of the product?

(blank)
1 x 2
2 x 2
3 x 2
3 x 3

The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Answer:

MAR=180-165

=15 IS THE ANSWER

\( \sf {a}^{2} = {13}^{2} - {5}^{2} \)

Formula :

Base²= Hypotenuse² - Perpendicular ²

\( \\ \\ \)

\( \hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2} \)

\( \\ \\ \)

\( \hookrightarrow\sf {a}^{2} =169 - 25\)

\( \\ \\ \)

\( \hookrightarrow\sf {a}^{2} =144\)

\( \\ \\ \)

\( \hookrightarrow\sf {a} = \sqrt{144} \)

\( \\ \\ \)

\( \hookrightarrow\sf {a} = \sqrt{12 \times 12} \)

\( \\ \\ \)

\( \hookrightarrow\sf {a} = 12\)

Remember the a² in formula has nothing to do with the a we have to find. :)

\(\bold{\huge{\pink{\underline{ Solution }}}}\)

\(\bold{\underline{ Given :-}}\)

\(\bold{\underline{ Let's\: Begin:-}}\)

That is,

\(\sf{\red{ ( Base)² + ( Perpendicular )² = ( Hypotenuse)²}}\)

\(\sf{ ( a )² + ( b )² = ( c )²}\)

Subsitute the required values,

\(\sf{ ( a )² + ( 5 )² = ( 13)²}\)

\(\sf{ a² + 25 = 169}\)

\(\sf{ a² = 169 - 25 }\)

\(\sf{ a² = 144}\)

\(\sf{ a = √144}\)

\(\sf{ a = 12}\)

\(\sf{\blue{ Hence,\: Length \:of \:a\: is \:12 units }}\)

Answer:

24

Step-by-step explanation:

that is what   thinkof ur answer

Answer:

Height=61 feet

Step-by-step explanation:

Height=sin 55 degrees x 75

Height=0.8192 x 75

Height=61.43

Answer:

The Answer is 18 then 25 then 21 then 20

Step-by-step explanation:

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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Answer:

yield of this new bond is 4.42%

Step-by-step explanation:

given data

bond  = $5000

coupon rate = 4.6%

purchased bond = $5195

to find out

yield of this new bond

solution

We get here first amount paid to the bond holder

amount paid = 4.6% × $5000

amount paid = $230

and

so Tim earned $230 on a bond that cost her $5195  

so yield of this new bond = \(\frac{230}{5195} \times 100\)

yield of this new bond = 4.42 %

Answer:

42 cm

Step-by-step explanation:

So, the dimensions of the square are 6*6, so we can find the area of that easily. 6*6 is 36. Now, we have to find the area of the triangle. Since 6 of the 8 cm across were used for the square, we only have 2 cm left to work with. The height of the triangle is 6. The formula to find the area of a triangle is 1/2(b)h. That would mean 1/2*2, which is 1, and then 1*6, which is 6. Finally, we add the areas of both shapes, which is 6 and 36, and we get 42.

Hope this helped!

Answer:

8.9 is the answer i just took the test

Answer:

63/10 : 9/2

Step-by-step explanation:

6.3 is 6 and 3/10

we can turn that into an improper fraction so its 63/10

4.5 is 4 and 1/2

we can turn this into an improper fraction with is 9/2

so now its 63/10 : 9/2 as a ratio

Hope this helps. Good luck.

\( \frac{ \frac{19}{3}kg }{ \frac{9}{2}kg } \)

Answer: A is at (2,-2). after 90 degree counter clockwise, it is at (2,2).  Then, a transformation one unit to the left gets it to A', (1,2)

Step-by-step explanation:

Answer:

C.9

Step-by-step explanation:

2 doz =3eggs

4 doz = 6 eggs

6 doz = 9 eggs

According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.

In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.

According to the given information:

The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:

Length of arc = (angle/\(360\)) x \(2\pi r\)

where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).

Substituting the given values, we have:

Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)

Length of arc = \((1/4)\) x \(2\pi ft\)

Length of arc = \(\pi /2 ft\)

Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)

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the length of the 90° arc is π/4 feet or approximately 0.785 feet

What is arc of circle?

In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.

The formula for the length of an arc is:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.

In this case, θ = 90° and r = 1 ft, so we have:

L = (90/360) × 2π(1) = (1/4) × π = π/4

Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).

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Answer:

70

Step-by-step explanation:

Label the 5 points (top left and top right points are a and b, middle left and right points are c and d, and the bottom points are d. all the points are the arrow sign), also label the point where the 3 lines intersects as s

we have : angle asb = 160, so angle asc = 180 - 160 = 20
angle asc + x = 90, and since asc = 20, x = 90 - 20 = 70

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

n = nonsmoker

D = died

P(s) = .13

P(n) =.87

P(D/s) =0.02

P(D/n) =0.002

P(s/D) = ??

\(P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6\)

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

30 is the answer

Step-by-step explanation:

i hope it help you

Answer:

30 is the correct answer

hope it helps u dear ❤

The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer:

-x + 2

Step-by-step explanation:

Answer:

6,200        500        23,000

Hoped this helped:)

Step-by-step explanation:

Answer:

6,232 rounded is 6,200

490 rounded is 500

23,058 rounded is 23,100

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

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Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.

1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.

Now we can subtract 2/31 from 3/2:

3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.

The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.

Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.

The number of particles in 9.89 moles of carbon is solved to be

To determine the number of particles in 9.89 moles of carbon, we can use Avogadro's constant, which is defined as the number of particles (atoms or molecules) in one mole of a substance.

Avogadro's constant is approximately 6.02 x 10^23 particles per mole.

So, the number of particles in 9.89 moles of carbon is:

= 9.89 moles x (6.02 x 10^23 particles/mole)

= 5.95 x 10^24 particles

Therefore, there are approximately 5.95 x 10^24 particles in 9.89 moles of carbon.

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Answer:

Step-by-step explanation:

15 + a = 10

a = 10 - 15

a = -5

around 50%

Step-by-step explanation:

because 30 of half of 60

Answer:

$ 26.66

Step-by-step explanation:

Minus the orignal price and the sale price and then you will get the answer