What segments are parallel on the attached diagram?

Answer:

V≈1470.27cm³

Hope this helps :D

Answer: 5h + d

Step-by-step explanation: The equation that Sara could use to determine her pay check is 5h + d = amount she will earn.

Answer: n=16

Step-by-step explanation:

The solution to the equation is n = 16.

The equation 1/2 * n = 8 can be solved by multiplying both sides by 2 to find n = 16.

To solve the equation 1/2 * n = 8:

Multiply both sides by 2 to isolate n: n = 8 * 2 = 16.

Therefore, the solution to the equation is n = 16.

[tex] \frac{12}{n} - 12[/tex]

Final answer:

An algebraic expression for '12 less than the quotient of 12 and a number z' is represented by the mathematical expression (12/z) - 12.

Explanation:

To write an algebraic expression for "12 less than the quotient of 12 and a number z," you need to understand how to translate the words into a mathematical expression. The quotient of 12 and a number z is written as 12/z. To represent 12 less than this quotient, you simply subtract 12 from it, thus the expression becomes (12/z) - 12.

Answer:

You should multiply the expression by [tex]\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex]

Explanation:

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

This means that:

The conjugate of a + b would be a -  b

Now, the given expression is [tex]\frac{2}{\sqrt{13}+\sqrt{11}}[/tex]

Consider the denominator:

From the above, we can conclude that the conjugate of [tex]\sqrt{13}+\sqrt{11}[/tex] is [tex]\sqrt{13}-\sqrt{11}[/tex]

And, remember that we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

Therefore:

You should multiply the expression by [tex]\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex] in order to rationalize the denominator

Hope this helps :)

Answer:

[tex] \frac { \sqrt { 13 } - \sqrt { 11 } } { \sqrt { 13 } - \sqrt { 11 } } [/tex]

Step-by-step explanation:

We are given the following expression and we are to determine the expression that we need to multiply it with in order to rationalize the denominator:

[tex] \frac { 2 } { \sqrt { 13 } + \sqrt { 11 } } [/tex]

To rationalize its denominator, we must multiply it with its conjugate.

For the denominator of the given expression, its conjugate would be [tex] \sqrt { 13 } - \sqrt { 11 } [/tex].

So to rationalize the expression, we would multiply it with:

[tex] \frac { \sqrt { 13 } - \sqrt { 11 } } { \sqrt { 13 } - \sqrt { 11 } } [/tex]

Answer:

circumference so with all the diameters and stuff it would be 4[tex]\pi[/tex] or 12.56

Answer:

A

Step-by-step explanation:

The volume of a prism can be found by multiplying the area of the base by the height. It is the formula V = B*h. Here B = 108. Substitute and solve.

V = 108*8 = 864

This is answer A.

Answer:

75ft long 60 ft wide

Step-by-step explanation:

one inch is 5 feet so for every foot you would x 5

15x5=75

12x5=60

The actual dimensions of Jamal's property are 75 feet long and 60 feet wide.

If Jamal's scale drawing is 15 inches long and 12 inches wide, and one inch on the drawing represents 5 feet in real life, we can calculate the actual dimensions of the property.

Length of the property:

15 inches on the drawing represents 15 * 5 = 75 feet in real life.

Width of the property:

12 inches on the drawing represents 12 * 5 = 60 feet in real life.

Therefore, the actual dimensions of Jamal's property are 75 feet long and 60 feet wide.

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(a+b)²=a²+2ab+b²

(x+6)²=x²+2× x × 6+6²=x²+12x+36

hope this helps :)

Answer:

[tex]\large\boxed{(x+6)^2=x^2+12x+36}[/tex]

Step-by-step explanation:

[tex](x+6)^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=x^2+2(x)(6)+6^2=x^2+12x+36\\\\\text{Other method}\\\\(x+6)^2=(x+6)(x+6)\\\\\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(6)+(6)(x)+(6)(6)=x^2+6x+6x+36\\\\=x&^2+12x+36[/tex]

Break it down into shapes you know. There's a triangle and a rectangle. The area of a rectangle is l*w and in this case it's 5*6 or 30 units². The area of a triangle is 1/2b*h and in this case that is 1/2 * 6 * 3 or 9 units². Add the areas together to find the total area, which is 39 units².

Answer:

Step-by-step explanation:

We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or

We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.

Let's use the 2nd approach.

Here, a = 9, b = -4 and c = 1.

Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.

Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.

Answer: is C

Step-by-step explanation:

Answer:

The answer is ⇒ x = 0.73244

Step-by-step explanation:

∵ 90^x = 27 ⇒ insert log in both sides

∴ [tex]log(90)^{x}=log(27)[/tex]

∵ 90 = 9 × 10 , 27 = 3³

∵ log(a)^b = b log(a)

∴ log(9 × 10)^x = x log(9 × 10)

∴ [tex]xlog(9*10)=log(3^{3})[/tex]

∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)

∴ [tex]x[log(9)+log(10)]=3log(3)[/tex]

∵ log(10) = 1 , 9 = 3²

∴ [tex]x[log(3)^{2}+1]=3log(3)[/tex]

∴ [tex]x[2log(3)+1] = 3log(3)[/tex]

∴ x = (3log3)/[2log(3)+1]

∴ x = 0.73244

ANSWER

[tex]x \approx0.732[/tex]

EXPLANATION

The given exponential equation is

[tex] {90}^{x} = 27[/tex]

We take natural log of both sides

[tex] ln( {90}^{x} ) = ln(27) [/tex]

Recall and the following property of logarithms.

[tex] ln( {a}^{n} ) = n \: ln(a) [/tex]

This implies that;

[tex]x ln(90) = ln(27) [/tex]

Solve for x.

[tex]x = \frac{ ln(27) }{ ln(90) } [/tex]

[tex]x \approx0.732[/tex]

Answer:

a

Step-by-step explanation:

Based on the slope and y-intercept, the graph most closely models the linear equation 3x + 5y = 10.

Out of the three choices you provided, the graph most closely resembles the equation 3x + 5y = 10. Here's why:

        So, the equation 3x + 5y = 10 also has a y-intercept of 2.

The other two equations do not match the graph as well:

Answer:

Step-by-step explanation:

The is neither geometric nor arithmetic. The differences have to be the same.

99 - 89.9 = 9.1

89.9 - 78.8 = 11.1

78.8 - 68.7 = 10.1

==========

Answer:

The area would be 170 cubic inches.

Step-by-step explanation:

To find the area, use the area of a trapezoid formula.

A = (a + b)/2*h

Now input the values

A = (18 + 22)/2 * 8.5

A = 40/2 * 8.5

A = 20 * 8.5

A = 170

Answer:

22.5

30

37.5

Step-by-step explanation:

You have to multiply each ratio part by x to get them properly set up to add to  90.

3x + 4x + 5x = 90               Combine the left side

12x = 90                              Divide by 12

12x/12 =90/12                      Do the division

x = 7.5

3x = 3*7.5 = 22.5

4x = 4*7.5 = 30

5x = 5*7.5 = 37.5

Total             90

Final answer:

The lengths of the sides of the triangle with a perimeter of 90 cm and sides in the ratio 3:4:5 are 22.5 cm, 30 cm, and 37.5 cm. This is found by setting up an equation with variable x representing the common multiplier for the ratio, solving for x, and then calculating each side's length.

Explanation:

To solve the problem of finding the length of each side of a triangle with sides in the ratio 3:4:5 and a perimeter of 90 cm, we first set up an algebraic equation. Let the sides of the triangle be 3x, 4x, and 5x, respectively. The perimeter is the sum of these sides, so we have the equation 3x + 4x + 5x = 90 cm. Simplifying this gives us 12x = 90 cm. To find the value of x, we divide both sides of the equation by 12, resulting in x = 90 cm / 12, which simplifies to x = 7.5 cm. Subsequently, the lengths of the sides are 3x = 22.5 cm, 4x = 30 cm, and 5x = 37.5 cm.

Answer:

-76.204

37.673

Step-by-step explanation:

ur welcome :0

Final answer:

To find an equation of the form y = a + b ln(x) to model the data, follow these steps: Enter the data into a calculator and make a scatter plot, use the calculator's regression function to find the equation of the least-squares regression line, and add the equation of the regression line to the scatter plot.

Explanation:

Logarithmic Regression

To find an equation of the form y = a + b ln(x) to model the data, follow these steps:

By doing this, you will obtain the equation that models the data using logarithmic regression.

Answer:

  = -x^2 +3x+7

Step-by-step explanation:

f-g(x)

means to subtract g(x) from f(x)

f(x)- g(x)=3x+1 -(x^2-6)

Distribute the minus sign

f(x)-g(x)= 3x+1 -x^2 +6

           = 3x+7-x^2

           = -x^2 +3x+7

Answer:

[tex]\large\boxed{(f-g)(x)=-x^2+3x+7}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=3x+1,\ g(x)=x^2-6\\\\\text{Substitute:}\\\\(f-g)(x)=(3x+1)-(x^2-6)\\\\(f-g)(x)=3x+1-x^2-(-6)\\\\(f-g)(x)=3x+1-x^2+6\\\\(f-g)(x)=-x^2+3x+(1+6)\\\\(f-g)(x)=-x^2+3x+7[/tex]

Answer:

18/90 or you can say 18 over 90.

Step-by-step explanation:

So we have 18 out of the total of 90 photos.

So we know automatically the fraction is 18/90, we have 18 out of the rest of the 90 photos.  

The fraction of photos in the album that are black and white is calculated by dividing the number of black and white photos (18) by the total number of photos (90) which results in a fraction of 0.2 or 1/5.

To find what fraction of the photos are black and white, you'll start by considering all of the photos in the album. This is your total and it's 90 photos. Then, focus on the specific type of photos you're interested in, which are the black and white ones. There are 18 black and white photos. So to find the fraction of photos that are black and white, you would divide the number of black and white photos (18) by the total number of photos (90). This calculation would look something like this: 18 ÷ 90 = 0.2

So, the fraction of black-and-white photographs is 0.2 or, expressed as a common fraction, 1/5. This means that out of every 5 photos in the album, 1 of them is black and white.

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Answer:

The length of each side of the cube is [tex]\frac{1}{8}\ m[/tex]

Step-by-step explanation:

we know that

The volume of a cube is equal to

[tex]V=LWH[/tex]

but remember that in a cube

Length, width and height have the same value

so

Let

b-----> the length side of the cube

[tex]L=W=H=b[/tex]

substitute in the formula

[tex]V=(b)(b)(b)=b^{3}[/tex]

In this problem we have

[tex]V=\frac{1}{512}\ m^{3}[/tex]

substitute and solve for b

[tex]b^{3}=\frac{1}{512}[/tex]

[tex]b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m[/tex]

therefore

The length of each side of the cube is [tex]\frac{1}{8}\ m[/tex]

the answer is D. Multiply by 2 to get the next term

Answer:

It is D, multiply by 2 to get the next term.

Step-by-step explanation:

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

and so on.....

The equivalent expressions are:

(3x²  - 7x + 14) + (5x² + 4x - 6) = B. 8x² - 3x + 8

(2x²  - 5x - 3) + (-10x² + 2x + 7) = A. -8x² - 3x + 4

(12x²  - 2x - 13) + (-4x² + 5x + 9) = C. 8x² + 3x - 4

We have,

Expression:

(3x²  - 7x + 14) + (5x² + 4x - 6)

Combine like terms.

3x² - 7x + 14 + 5x² + 4x - 6

8x² - 3x + 8

Expression:

(2x²  - 5x - 3) + (-10x² + 2x + 7)

Combine like terms.

2x² - 5x - 3 - 10x² + 2x + 7

-8x² - 3x + 4

Expression:

(12x²  - 2x - 13) + (-4x² + 5x + 9)

Combine like terms.

12x² - 4x² - 2x + 5x - 13 + 9

8x² + 3x - 4

Thus,

(3x²  - 7x + 14) + (5x² + 4x - 6) = B. 8x² - 3x + 8

(2x²  - 5x - 3) + (-10x² + 2x + 7) = A. -8x² - 3x + 4

(12x²  - 2x - 13) + (-4x² + 5x + 9) = C. 8x² + 3x - 4

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Question

Answer:

False

Step-by-step explanation:

To form a triangle, the sum of any two sides must be LARGER than the length of the third side.  

This question says the sum of two sides are equal to the length of the third side.  This wouldn't form a triangle.

Final answer:

Yes, the statement is true. If the sum of two congruent lengths is equal to the length of a third side in a triangle, then the triangle is isosceles.

Explanation:

Yes, the statement is true. If the sum of two congruent lengths is equal to the length of a third side in a triangle, then the triangle is isosceles.

In an isosceles triangle, two sides have the same length (congruent sides) and the remaining side is different (non-congruent side).

For example, if we have a triangle ABC where AB = BC (congruent sides) and AC is a different length (non-congruent side), then the triangle ABC is isosceles.

Sintheta=[tex]\frac{Perpendicular}{Hypotenuse}[/tex]

Costheta=[tex]\frac{Base}{Hypotenuse}[/tex]

Tantheta=[tex]\frac{Perpendicular}{Base}[/tex]

Easy way to remember this ' Some People Have Curly Brown Hair Through Proper Brushing'

Hope this helps :)

The trigonometric ratios for a right triangle are sine, cosine, and tangent, which relate the sides of the triangle.

The trigonometric ratios for a right triangle are sine, cosine, and tangent. Each ratio is defined in terms of the sides of the triangle.

The sine (sin) ratio is defined as the ratio of the opposite side to the hypotenuse. It is calculated as sin(A) = y/h, where y is the length of the opposite side and h is the length of the hypotenuse.

The cosine (cos) ratio is defined as the ratio of the adjacent side to the hypotenuse. It is calculated as cos(A) = x/h, where x is the length of the adjacent side and h is the length of the hypotenuse.

The tangent (tan) ratio is defined as the ratio of the opposite side to the adjacent side. It is calculated as tan(A) = y/x, where y is the length of the opposite side and x is the length of the adjacent side.

Answer:

vvv

Step-by-step explanation:

80: The answer is .1675 or .17 (rounded)

Explanation: 1/4 = .25 and 2/3 = .66 repeated/ .67

.25x.67=.1675

90: B baskets in a attempts. There is 12 baskets in 25 attempts. 12/25 = .48

The field goal average is .48

Hope this helps xoxo

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Answer: 5

Step-by-step explanation: The first piece of information that you need to know is that the product is the answer when two numbers are multiplied. Therefore, you need to multiply the two sets of numbers, and then subtract.

The formula will be:

(5 x 2) - (5 x 1)=

First, do what is inside the parentheses:

10 - 5=

And solve...

5

The expression for the calculation the difference of the products 5 and 2 and 5 and 1 is (5 x 2) - (5 x 1).

Addition (Finding the Sum; '+') Subtraction (Finding the difference; '-') Multiplication (Finding the product; '×' ) Division (Finding the quotient; '÷')

The first thing you should be aware of is that the result of multiplying two integers is the product.

The two sets of numbers must therefore be multiplied before being subtracted.

The Expression will be:

(5 x 2) - (5 x 1)

First, work on the brackets separately

(5 x 2) = 10

(5 x 1)= 5

So, (5 x 2) - (5 x 1)

= 10 - 5

=5

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Answer:

The perimeter of rectangle is [tex]18\ cm[/tex]

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

[tex]x=y+5[/tex] ----> equation A

[tex]120=xy+2x^{2}+2y^{2}[/tex] ---> equation B (area of the constructed figure)

substitute the equation A in equation B

[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}[/tex]

[tex]120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0[/tex]

using a graphing tool -----> solve the quadratic equation

see the attached figure

The solution is

[tex]y=2\ cm[/tex]

Find the value of x

[tex]x=y+5[/tex] ----> [tex]x=2+5=7\ cm[/tex]

Find the perimeter of rectangle

[tex]P=2(x+y)=2(7+2)=18\ cm[/tex]

Answer:

47 cm

Step-by-step explanation:

its really simple just put them in from least to greatest then cross one off from each side until you get your middle number.

I believe that the answer is there is 1 thirds in 1/3 I hope this helps

Answer:

one

Step-by-step explanation:

There is only one third is 1/3.

If you enjoy baking, think of it in the sense of a recipe calling for 4/3 cups of sugar. You grab a 1/3 cup and you would scoop four times in order to have 4/3 cups of sugar.

however since your recipe only calls for 1/3, you will only need one scoop.