Jessi is making a clay tower for an art project. The tower has a rectangular base with an area of 36 cm2. She wants
to tower to be 10 cm high. What is the volume of clay that Jessi will use in her tower?

Answer: B

Step-by-step explanation: To get the boys part of the ratio you will have to subtract 30 students and 14 students that are girls because all together there are 30 students and since we only know that 14 of them are girls that leaves the rest of the students boys. 30 - 14 = 16  so now we know how many boys there are. 16:14 can be reduced by 2 and that equals to 8:7.

Hope this helps!

The ratio of boys to girls is equal to: B. 8 :7

Given the following data:

To calculate the ratio of boys to girls:

First of all, we would determine the number of boys in the art class by subtracting the number of girl students from the total number of students in this class.

[tex]Total \;students = boys + girls\\\\30=boys + 14\\\\Boys =30-14[/tex]

Boys = 16 students.

For the ratio:

[tex]B:G=16:14[/tex]

Dividing by 2, we have:

[tex]B:G=8:7[/tex]

Read more on ratio here: https://brainly.com/question/13513438

Answer:

the approximate of 0•3090 is 0•31

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⟹ Numbers that are less than zero are known as negative numbers (or integers). They fall on the left side of the number line.

⟹ Numbers that are greater than zero are known as positive numbers (or positive integers). They fall on the right side of the number line.

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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

Step-by-step explanation:

The base of the prism is triangle with base of 6 yd and hight of 6 yd.

The hight of the prism is 10 yd.

Therefore, the volume of the prism:

[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]

Answer:

[tex]\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]

Step-by-step explanation:

Inverse of a matrix is given by,

[tex]\begin{bmatrix}a & b\\ c & d\end{bmatrix}=\frac{1}{ad-bc}\begin{bmatrix}d & -b\\ -c & a\end{bmatrix}[/tex]

By using this property,

[tex]\begin{bmatrix}5 & 4\\ 3 & 2\end{bmatrix}^{-1}=\frac{1}{(5\times 2-4\times 3)}\begin{bmatrix}2 & -4\\ -3 & 5\end{bmatrix}[/tex]

              [tex]=-\frac{1}{2}\begin{bmatrix}2 & -4\\ -3 & 5\end{bmatrix}[/tex]

              [tex]=\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]

Therefore, inverse of the given matrix will be [tex]\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]

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

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

Answer:

3

Step-by-step explanation:

If we use pythagoras theorem we know a^2+b^2=c^2

c being the hypoeneuse

so we half the 8 to get the dimensions of the right angle so the bottom side is 4cm and then we use the hypotenuese which is 5 and plug it in so

a^2+4^2=5^2

a^2+16=25

-16 from both sides

a^2=9

square root both sides

a=3

Answer:

Descending order intercept : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1

Step-by-step explanation:

Linear Equations are in form of 'y = mx + b'.

Here, b is y intercept & it represents autonomous ie constant value of y irrespective of value of x. And, m represents slope ie change in y due to change in x.

Eg : 'y = 2x + 1' has least y intercept ie common autonomous value ie 1.       y = 3x + 2 , y = 4x + 3 , y = 5x + 4 ; these have higher & higher y intercepts respectively.

Arrangement from greatest to highest intercept (descending order of intercept) of above : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1

Answer:

Can you add a picture there is like 10 of these on imagine math

Step-by-step explanation:

Thank you

Answer:

D, B

Step-by-step explanation:

Question 8.

The shaded area should be on or below the line [tex]y=\frac{5}{2}x-2[/tex] AND below but not on the line [tex]y=\frac{1}{2}x+2[/tex]

Question 9.

See the attached image.

Shade on or under the line [tex]y=\frac{1}{2}x-1[/tex] AND above but not on the line [tex]y=\frac{3}{2}x+1[/tex].

Answer:

(7, - 5 ) and r = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 7)² + (y + 5)² = 4 ← is in standard form

with centre = (h, k ) = (7, - 5 ) and r = [tex]\sqrt{4}[/tex] = 2

Given:

Length of escalator = 26 ft

Angle of depression = 41 degrees

To find:

The horizontal distance x the escalator covers to the nearest tenth of a foot.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this formula for the given triangle, we get

[tex]\cos 41^\circ=\dfrac{x}{26}[/tex]

[tex]26\cos 41^\circ=x[/tex]

[tex]26(0.7547)=x[/tex]

[tex]19.6222=x[/tex]

Round the value to the nearest tenth.

[tex]x\approx 19.6[/tex]

Therefore, the escalator covers 19.6 ft horizontally.

Answer:

y-intercept is -9

Step-by-step explanation:

g(0) = -3(0)² - 5(0) - 9

g(0) = 0 - 9

g(0) = -9

Answer:

c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100

Answer:

Algebra :(

Step-by-step explanation:

Anyway haiiiiiiii remember me Katie i saw your question lol haiii

Answer:

Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.

a^2 + b^2 = c^2

a is the width of the TV

b is the height of the TV

c is the diagonal size of the TV

a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:

(b+15)^2 + (b)^2 = (75)^2

Factoring that out, we get:

(b)^2 + 225 + (b)^2 = 5625

Then..

2b^2 = 5625 - 225

2b^2 = 5400

b^2 = 5400/2

b^2 = 2700

b = ✓2700

b = 51.9615242271 (round it to an even 52)

Next, we know that a = b + 15, so a = 67.

Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…

Step-by-step explanation:

Answer:

Step-by-step explanation:

4

Answer:

70.95$

Step-by-step explanation:

P = $1000

R = 2.365%

T = 3 years

[tex]\frac{PRT}{100}[/tex] = [tex]\frac{1000*2.365 * 3}{100}[/tex] = [tex]\frac{7095}{100}[/tex] = 70.95$

Answer:

Step-by-step explanation:

45? Let me know if im wrong

Answer:

Step-by-step explanation:

Answer: 140^3

Step-by-step explanation:

The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.

Answer:

Product: 96

GCF: 4

LCM: 24

Product of the GCF and LCM: 96

Step-by-step explanation:

Now that we know what definitions are, we can solve this word problem.

12 × 8 = 96.

96 is the product.

To find the greatest common factor, we can list all of the factors for each number.

12: 1, 2, 3, 4, 6, 12

8: 1, 2, 4, 8

The largest factor both numbers have in common is 4.

Therefore, 4 is the greatest common factor.

To find the least common multiple, we can list the multiples of both numbers.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64

The smallest multiple both numbers have in common is 24.

Therefore, 24 is the least common multiple.

Lastly, we have to find the product of the GCF and the LCM.

The GCF is 4 and the LCM is 24.

4 × 24 = 96.

96 is the product.

Therefore, 96 is the product of the greatest common factor and the least common factor of 12 and 8.

Answer:

B

Step-by-step explanation:

If x equals 1/4 then it must be B because:

All the sections are divided into fourths so 1/4 plus 3/4 is 1.

Answer:

They both are not correct.

Step-by-step explanation:

3+(-53) = -50 not -27 or 8.9

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The red numbers are the ones that are given in the problem text. The blue numbers are calculated so as to make row and column totals come out properly.

The drink total shows the same number is arrived at either of two ways. This is confirmation that the other numbers are calculated properly.

Answer:

Angle ADC = 7x - 6°

Step-by-step explanation:

4x - 12 + 3x + 6 = 7x - 6

Answer:

Step-by-step explanation:

Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:

Substitute the values and solve for x:

Find the value of ∠ADC:

Answer:

Ans is x<3

Step-by-step explanation:

➜-2x<-6

➜2x<6

➜2x/2<6/2

➜x<3

Answer:

2

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

Since the line is a horizontal line through 1, y = 1.

Answer:

the first one is b and the second one is 17 I think

to solve you do the mixed number (4) times the denominator (5) plus the numerator (3)