Jennifer buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 12 inches.
a. Jennifer uses one piece of the cube to make spheres that have a diameter of 4 inches. How many spheres can she make?
b. Jennifer wants to keep the other piece of the cube for a future project. What is the area of the newly exposed surface from the wire cut?

y = 2x + 7 in the equation 8x - 4y = -28, isolate y on one side by subtracting 8x from both sides and then dividing by -4.

Solve for y: 8x - 4y = -28

Start by isolating y on one side of the equation.

Subtract 8x from both sides to get -4y = -8x - 28.

Finally, divide by -4 to find y = 2x + 7.

Answer:

Tomo can make 4 batches of brownies.

Step-by-step explanation:

The way I did it is I subtract and counted how many times I subtracted until I got to zero. Like so: 4/3 - 1/3 = 3/3.  3/3 - 1/3 = 2/3. 2/3 - 1/3 = 1/3. 1/3 - 1/3 = 0.

Count it, and it equals four.

I know there is other ways to find the answer, but this is just how I did it.

I hope this helps!

Answer:

Tomo can make more than one whole brownie

4 batches of brownies ^^

Step-by-step explanation:

Answer: 90 degrees

Step-by-step explanation:

The angle of rotation is 90° clockwise rotation

The coordinates are given as:

A(-2, -2) to A'(-2, 2)

Remove the points

(-2, -2) to (-2, 2)

Replace the coordinates with x and y

(x, y) to (y, -x)

The above represents a 90° clockwise rotation

Hence, the angle of rotation is 90° clockwise rotation

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Answer:

Step-by-step explanation:

∠ R + ∠T =  90   {R & T are complementary}

3x + 2x = 90

5x = 90

x = 90/5

x = 18

Answer:

y = 6x + 24

Step-by-step explanation:

Remember, any line can be parallel to y= 6x + 8 as long as it has the same slope (m, or in this case 6), and a different b (in this case 8).

Answer:

C y=1/2cos(x)-2

I'm not sure if it is right

My head hurts so its hard for me to concentrate

Answer: i believe it is short field

Answer:

B. Long Field

Step-by-step explanation:

Answer:

A. 6

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]+[tex]5^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]=9

[tex]5^{2}[/tex]=25

25+9=34

[tex]\sqrt{34}[/tex]= 5.83

Round it and its 6

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

Answer:

about 317

Step-by-step explanation:

You can break up the pentagon into 5 isoceles triangles

with length of 20√3/3 for the legs. Using the law of Sines are formula, we can see the area of one triangle is the leg * leg * sin(joining angle) /2.

The angle measure between it is 360/5 = 72 degrees.

So we plug it in and we get 317.01 ish.

I hope that helped and i need a brainly mark please :)

The Area of Pentagon is 363.43 mm².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have, Apothem= 10mm

So, Perimeter of Pentagon

= 10 x 7.267

= 72.67 mm

Now, side of pentagon = 72.67/ 5= 14.534 mm

So, Area of Pentagon

= 1/4 √5(5+2√5) a²

= 1/4 √5(5+2√5) (14.534)²

= 363.43 mm²

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Answer:

q = 4

Step-by-step explanation:

this is your equation

8 + q = 12

rearrange to find q

q = 12 - 8

q = 4

Answer:

4

Step-by-step explanation:

Answer:

For a quadratic equation, a graph that has one solution will only intersect the x-axis ONE time. This is seen when the vertex of the parabola rests on the x axis.

Answer:

x  > 9/5

There you go

Answer:

x>9/5

Step-by-step explanation:

The parabola y= ax² opens to the left.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

We have the parabolic equation: y= ax²

1. If 'a' is positive, the parabola will open to the right or upwards.

2. If "a" is negative, the parabola opens to the left or downward.

3. The parabola expands either upwards or downwards if x is squared.

4. The parabola opens to the left or right if y is squared.

Now, as we are given the parabola having x² and 'a' is negative.

Thus, from the points 4 and 2, we get,

The given parabola opens to the left.

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Answer:

cos^-1(12/13) = x

Step-by-step explanation:

auxhsjzjdjsjsskksnsis

Answer:

Option 3

Step-by-step explanation:

log4(x) + log4(x - 3) = log4(-7x + 21)

log4(x² - 3x) = log4(-7x + 21)

x² - 3x = -7x + 21

x² + 4x - 21 = 0

x² + 7x - 3x - 21 = 0

x(x + 7) - 3(x + 7) =0

(x + 7)(x - 3) = 0

x = -7, 3

-7 and 3, both are e extraneous solutions because logs of non-positive numbers don't exist

At x = 3,

-7x + 21 = 0

Answer:

5y = 2

Step-by-step explanation:

To solve this equation, you have to simplify both sides of the equation, and arrange the terms so that all the values with a variable are on one side, and all the values without a variable are on the other side:

8y + 4 = 6 + 2y + 1y

8y + 4 = 6 + 3y

8y - 3y = 6 - 4

5y = 2

Answer:

50.3? im not exactly sure if this is right

Step-by-step explanation:

Area of circle

=πr²

=22. ×4×4

7

=22×16

7

= 352

7

=59.3

Answer:

-14/3

If that isn't right then sorry

Answer:

24cm x 15cm

Step-by-step explanation:

120/5 = 24 cm

as 24 cm x 5 = 120 feet.

We check 75 feet

75/5 = 15 cm

as 15 cm x 5 = 75 feet

So the answer is 24cm x 15cm

Answer:

5 pounds

Step-by-step explanation:

The line plot shows that we have 3 kittens with 1/2 pounds, 2 kittens with 1 pound and 1 kitten with 1 1/2 pound.

So, to find the total weight of the kittens in the shelter, we can multiply the number of kittens by their weights, and then sum then all:

Total weight = 3 * (1/2) + 2 * 1 + 1 * (1 + 1/2)

Total weight = 3/2 + 2 + 3/2 = (3 + 4 + 3)/2 = 10/2 = 5 pounds

Answer:

Area of a parallelogram = base × height

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel and equal to each other. Opposite angles are equal . The picture below is a parallelogram. Notice that angle D is equals to angle B and angle A is equals to angle C.

The height is gotten by drawing a straight line from a point to form a right angle triangle.  If the height is unknown you can use Pythagoras theorem to get the height when the base of the right angle triangle and sides of the parallelogram is known.

If the base of the parallelogram is 10 . 25 cm (side AB and DC ) and the height is 4.28 cm , the

area =  base × height

area = 10.25 × 4.28 = 43.87  cm²

The value is already in it nearest hundredth.

Answer:

i would love to help but there is no question :(

Step-by-step explanation:

Answer:

I'm sorry, I'd love to help but there isn't a question. Have you tried putting the question again?

Answer:

the answer is D

Step-by-step explanation:

i believe it because of the total

The percentage of Mountain View residents polled who supported Olunloyo is 18%.

To find the percentage of Mountain View residents who supported Olunloyo in the survey, we can use the relative frequency table provided. The relative frequency for Olunloyo in Mountain View is 0.18.

To calculate this as a percentage:

Percentage= 0.18*100%= 18%

Therefore, the percentage of Mountain View residents polled who supported Olunloyo is 18%.

So, the correct answer to the question is:

A. 18%.

Answer:

x =(7-√-3)/2=(7-i√ 3 )/2= 3.5000-0.8660i

x =(7+√-3)/2=(7+i√ 3 )/2= 3.5000+0.8660i

Step-by-step explanation:

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-7x+13

The first term is,  x2  its coefficient is  1 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -7 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 7x + 13  = 0

This may be a lot sorry it is confusing if it is wrong i'm so sorry don't come at me wrong please!

3^√100x/5

If you want to make math problems I recommend the Photomath app.

Without the exact height of the Leaning Tower of Pisa, we cannot find the specific degree of tilt. However, given the height is approximately 183.27 ft, we can use the tangent function to roughly find that the tilt is near 4.22 degrees.

The question involves the concept of trigonometry, specifically the tangent function, to calculate the angle of tilt of the Leaning Tower of Pisa. Assuming the tower forms a right triangle with the ground, we can utilize tangent, which is the ratio of the opposite side (the horizontal shift) to the adjacent side (the height of the tower) to determine the angle of tilt. Thus, the angle of tilt θ is calculated as θ = tan⁻¹(13.5/height). Unfortunately, without the exact height of the tower, we cannot give a specific degree of tilt.

However, the actual height of the tower is roughly 183.27 ft. Substituting that value into the equation gives θ = tan⁻¹(13.5/183.27), which approximates to around 4.22 degrees when calculated.

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Using trigonometry and taking into account the horizontal shift and height of the Leaning Tower of Pisa, we found that it tilts around 4 degrees from vertical. The procedure entails determining the tangent of the tilt angle and using the arctan function to calculate the angle in degrees.

The problem involves finding the tilt angle of the Leaning Tower of Pisa given its horizontal displacement. We will consider the height of the tower, which is approximately 55 meters (about 180.45 feet).

We can use trigonometry, specifically the tangent function, tan(θ) = opposite/adjacent, to find the angle of tilt. Here, the 'opposite' side is the horizontal shift (13.5 feet) and the 'adjacent' side is the height of the tower (180.45 feet).

Identify the opposite and adjacent sides:

Use the tan function to find the angle:

Calculate the tangent value:

Find the angle θ using the arctan function:

Round to the nearest degree:

Therefore, the Leaning Tower of Pisa tilts approximately 4 degrees from vertical.

Answer:

(a)1/3

(b)2/3

Step-by-step explanation:

This is a 6-sided number cube, therefore total possible outcomes, n(S)=6

(a)Probability of rolling a 2 OR 3 =P(2)+P(3)

[tex]=\dfrac{1}{6} +\dfrac{1}{6} =\dfrac{2}{6}\\= \dfrac{1}{3}[/tex]

(b)Probability of not rolling a 2 OR 3

In probability, the sum of the probability of an event and its complement is always 1.

Therefore:

P(Rolling a 2 or 3)+P(Not rolling a 2 or 3)=1

From part (a) above:

Probability of rolling a 2 OR 3=[tex]\dfrac{1}{3}[/tex]

Therefore:

[tex]\dfrac{1}{3}+$P(Not rolling a 2 or 3)=1\\P(Not rolling a 2 or 3)=1-\dfrac{1}{3}=\dfrac{2}{3}[/tex]

Answer:

The answer is 1st point, 1/2×22.0×23.1

Step-by-step explanation:

You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.