Tasneem has a sample of 12 bags of candy. She recorded the mass, in grams, of each bag. Her data is shown.

Answer: 21.375 cm2

Step-by-step explanation:

Area of rectangle  = length x width = 3.5 x 4.4 = 15.75 cm2

Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2

Add rectangle and triangle area = 21.375 cm2

Answer:

21 /3/8 cm^2.

Step-by-step explanation:

Area = area of rectangle + area of the triangle

= 3 1/2 * 4 1/2 + 1/2 * 4 1/2 * 2 1/2

=  7/2 * 9/2 + 1/2 * 9/2 * 5/2

= 63/4 + 45/8

=  126/8 + 45/8

=  171/8

= 21 /3/8 cm^2.

Answer:

48

Step-by-step explanation:

42 + 90 + x = 180

x = 48

Answer:

x^4

is the answer

Answer:

35

Step-by-step explanation:

Top box equals 10

(5x2)

Middle box equals 15

(5-2+2) x 3

Bottom box equals 10

(5x2)

Answer:

35 in sq.

Step-by-step explanation:

Find the area of each rectangle and add them together.

Area of a rectangle = length*height

Top rectangle: This one is easy. Length=2 Width=5

5*2=10

Middle rectangle: There's a missing segment in the width but we can find it. Notice the bottom rectangle's width includes the missing segment + 2 (look at the top rectangle). 5-2 is 3. Add the 2 of the known segment to the 3 of the previously unknown segment.

Length=3 Width=5

5*3=15

Bottom rectangle: This one is also easy. Length=2 Width=5

2*5=10

10+15+10=35 in sq.

Answer:

$5.12

Step-by-step explanation:

Multiply the cost per pound price by how many pounds of oranges Ben bought

1.60 * 3.20 = 5.12

The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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Answer: 135

Step-by-step explanation:

it increased by 20%

so the 162 is 120% of the first price

so if we multiply 162 by 100/120 we will get the first price

100/120=5/6 and 5/6*162 is 135

Answer:

x = -47/3

Step-by-step explanation:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

-47 = 3x

x = - 47/3

Can't be reduced because 47 is prime

Answer:

x=  -47/3

Step-by-step explanation:

So the information we already have is

7 = 3x + 9 * 6

9 * 6 = 54

now it is

7 = 3x + 54

The equation can also be

3x + 54=7

First subtract 54 from both sides

3x + 54 - 54= 7 - 54

3x= -47

Then divide both sides by 3

3x/3= -47/3

x= -47/3

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

Answer:

Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.

Hope this helped!

Answer:

The answer in C

Step-by-step explanation:

if you add all the numbers and divide by 25 you get 17

Answer:

He spends 20 percent of his free time reading so I think its 1 hour and 48 minutes.

Answer:

5 + 2 = 27

Step-by-step explanation:

Answer:

let's take s as student

let's take p as problem

sp as student that has gotten a problem

1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p

5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p

20sp + 1s × 7p

20sp + 7sp

27sp

Answer:

b) ∠ACB = 25 degrees

Step-by-step explanation:

arc BA = 50° because central angle AOB = 50°

∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°

The measure of angle ACB is 25°. The correct option is a. 25 degrees

From the question, we are to determine the measure of angle ACB

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference.

That is, in the given circle

<AOB = 2 × <ACB

Then,

<ACB = 1/2(<AOB)

<ACB = 1/2 × 50°

<ACB = 25°

Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees

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Answer:

Step-by-step explanation:

Answer:

x = 3.58 (2 d.p.)

Step-by-step explanation:

Given equation:

[tex]e^{4x-5}-7=11243[/tex]

Add 7 to both sides:

[tex]\implies e^{4x-5}-7+7=11243+7[/tex]

[tex]\implies e^{4x-5}=11250[/tex]

Take natural logs of both sides:

[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies (4x-5)\ln e=\ln 11250[/tex]

As ln(e) = 1:

[tex]\implies 4x-5=\ln 11250[/tex]

Add 5 to both sides:

[tex]\implies 4x-5+5=\ln(11250)+5[/tex]

[tex]\implies 4x=\ln(11250)+5[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]

[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]

Using a calculator:

[tex]\implies x=3.582030852...[/tex]

Therefore:

[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]

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Answer: 2 / 15

Step-by-step explanation:

3 red / 10 total

4 white / 9 total

3/10 * 4/9 = 12/90 = 2/15

Answer:

Because they are both using (g units rates).

Step-by-step explanation:

Answer:

Infinity

Step-by-step explanation:

The given parameters are;

The mean of the data, μ = 124

The mean absolute deviation = 38

The mean absolute deviation is given as follows;

[tex]Mean \ absolute \ deviation = \dfrac{\sum \left | X - \mu \right |}{N} = 38[/tex]

Where;

μ = Mean

X = Score

N = The number of scores

Therefore;

[tex]N \times 38 = \sum\limits_{i = 1}^N \left | X - \mu \right |} = \sum\limits_{i = 1}^N \left | X -124 \right |}[/tex]

When there are an infinite number of terms, N = ∞, the greatest possible number within the mean absolute deviation is therefore also infinite

[tex]\infty \times 38 = \sum\limits_{i = 1}^{\infty} \left | X - \mu \right |} = \infty[/tex]

[tex]Greatest \ possible \ value \ for \left | X - \mu \right |} = \infty[/tex]

Answer:

A. T > 50

Step-by-step explanation:

Answer: Is correct trust me.

Step-by-step explanation:

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Answer:96

Step-by-step explanation: 4x8 = 32 so there will be 32 fluid ounces gone. subtract that from 128 to get 96.

Answer:

The answer should be 2520

Answer:

if the cubes were hidden, but I belive the answer is none

Step-by-step explanation:

Answer:

Yes it is B when looking at it from top view thats what it comes out to look like great job.

Answer:

432 in²

Step-by-step explanation:

To Obtian the square inches of wooden boards required :

Area of box = 2(l * w) + 2(l * h) + 2(h * w)

Length = 12 ; width = 6 ; height = 8

Hence,

Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)

Area of box = 2(72) + 2(96) + 2(48)

Area of box = 432 in²

Answer:

Step-by-step explanation::)

Answer:

B

Step-by-step explanation:

(x +(-11)) means that you move point D to the left by 11.

(y + 8) means that you move the point D up by 8

this will give you a point B

Step-by-step explanation:

[tex]2 \frac{3}{5} \div \frac{7}{9 } \\ \frac{13}{5} \times \frac{9}{7} \\ = \frac{117}{35} [/tex]

Answer:

Step-by-step explanation:

''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''

The best approximation value of a by using sine rule is 3.0cm. so option C is correct.

The sides and angles of non-right triangles are related according to the Law of Sines.

The relationship between the angles and lengths of the sides:

a/sinA = b/sinB = c/sinC

We know according to law of sines:

a/sinA = b/sinB = c/sinC

by putting the values we can write,

a/sin40° = 4.7/sin95°

a = (4.7 ×sin40°)/sin95°

  =  3.032

by putting the value of Sin40° and Sin95°.

we get a = 3.03cm.

Approximation value of a is 3.0cm.

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The complete question:

what is the best approximation of the value of a?

2.4 cm

2.7 cm

3.0 cm

3.3 cm

Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.