6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.

1,540 m2
770 m2
396 m2
749 m2

The congruent parts of the triangle are:

< A ≅ <X

<B ≅ <Z

<C ≅ <Y

AB ≅ XZ

AC ≅ AY

BC ≅ ZY

BCA ≅ ZYX

The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.

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Answer:

10

Step-by-step explanation:

When X increases by 5, 2X increases by 10 while the 1 keep no change

So y increases by 10

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The value of x is 17.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Since the ray AB bisects, the ∠FAE. Therefore, the measure of ∠FAB and ∠EAB will be equal. As these two angles are equal, the length of line BF and BE will be equal.

BF = BE

2x+8=42

2x=42-8

2x=34

x = 17

Hence, the value of x is 17.

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Answer:

39.6

Step-by-step explanation:

I think.

Answer:

$456.25 each month

Step-by-step explanation:

Fund for 3 months 3750 * 3 = 11250

Start with 300 => 11250 - 300 = 10950

Within 24 months to reach 10950 => each month = 10950 / 24 = 456.25

She needs to save $456.25 each month for the next 24 months to reach her goal.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Monthly expenses = $3,750

For 3 months = 3 × 3750 = $11250 need to save total.

Since she started with $300 so

11250 - 300 = $10950 need to save total.

Let's say the amount per month is x

24x = 10950

x = 456.25.

Hence "She needs to save $456.25 each month for the next 24 months to reach her goal".

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Answer:

243 and 729

Step-by-step explanation:

next will be 81 x 3= 243

next will be 243 x 3= 729

Answer:

243   729  

Step-by-step explanation:

r = common ratio = 3       means multiply each number by 3 to get the next number

3  9   27  81    (81*3 )    ( 81*3)*3

3  9   27   81    243    729

Choice B is another answer if it is a "choose all that apply" type of situation. If it is a "choose only one answer" question, then I'd stick with choice C.

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

Work Shown:

x = some unknown number

4x = four times that number

4x-8 = eight less than the previous expression

4x-8 < 56

4x < 56+8

4x < 64

x < 64/4

x < 16 showing why choice C is the answer

The inequality sign stays the same the entire time. The only time it flips is when we multiply or divide both sides by a negative number.

If this is a "choose all that apply" type of question, then choice B also fits the description of x < 16 since all numbers less than 12 are also automatically less than 16.

In other words: if x < 12, then x < 16. The reverse is not true.

The probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred.

Students of high school who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. In this,

Let the tryout for volleyball is event A and tryout for swimming is event B. Thus,

P(A)=0.27

P(B)=0.88

Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

Thus, probability of the union of trying out for either volleyball or swimming

P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=0.27+0.88-P(A)*P(B)

P(A or B)=0.27+0.88-0.27×0.88

P(A or B)=0.9

Hence, the probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

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Hey there!

72 * 1/8 = 9

= 72/1 * 1/8

= 72(1) / 1(8)

= 72 / 8

= 72 ÷ 8

= 9

Thus, the answer could either be:

• 72/1 * 1/8

• 72 / 8

OR

• 72(1) / 1(8) (hence how we possibly received answer number 2)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: The correct answer is A.

Step-by-step explanation: The graph cannot have a maximum, as the quadratic function goes on forever upwards. However, it can have a minimum, and the lowest point on the quadratic function is (1, -4).

Answer:

Diameter = 6 ft, height = 2.5 ft=====Volume 22.5

Radius = 2ft, height=4.5 ft=======18 pie ft ^3

Area Base = 10Pie ft ^2 , height =2 ft=====Volume 20 pie ft ^3

Step-by-step explanation:

edge 2022

[tex]\cos 180^{\circ}\\\\=\cos(2 \cdot 90^{\circ})\\\\=2 \cos^2 90^{\circ}-1\\\\=2 \cdot 0 - 1\\\\=0-1\\\\=-1[/tex]

Answer:

Volume of a Sphere is 4/3 * π * r^3 , r is the radius of the sphere.

volume = 4/3 * π * r^3

= 1.13×105in³

Volume of a 30″ radius sphere is

113,097 cubic inches.

Answer: y= -7   y= -5   y= -3   y= -1

Step-by-step explanation:

[tex]\text{Given that,}~~(x_1,y_1) = (-1,3)~ \text{and slope,}~ m = 3\\\\\text{Equation of line,}\\\\~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y -3 = 3(x+1)~~~~~~~~~~;[\text{Point-slope form}]\\\\\implies y-3 = 3x +3 \\\\\implies y = 3x +3 + 3\\\\\implies y = 3x +6~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form}][/tex]

Answer check:

You got both correct. Good luck on the exam!

Answer:  the first one is correct and the second one is  wrong its 1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1\frac{7}{8} inches1

8

7

inches

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

2-\frac{1}{8}=\frac{16-1}{8}=\frac{15}{8}=1\frac{7}{8}2−

8

1

=

8

16−1

=

8

15

=1

8

7

Therefore, the difference between the greatest and least amount of rainfall is 1\frac{7}{8} inches1

8

7

inches

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

I hope it helps you

Answer:

5. (2x-3)(3x+2)

6.(x-8)(2x-5)

7.(5x-2)(2x+1)

8.(4x+3)(x+3)

Step-by-step explanation:

example on how to solve this in not how you solve your questions

2x times x = 2x2

2x times 2 = 4x

5 times x = 5x

5 times 2 = 10

The factors are (2x + 5)  and (x + 2), so 2x2 + 9x + 10 = (2x + 5) ×  (x + 2)

4x and 5x are interchangeable, so you could put 5x in the first row and 4x in the second row and still get the same answer.

Answer:

Apples only

0.50a ≤ 23

Pears only

0.75p ≤ 23

Apples and Pears together

0.50a + 0.75p ≤ 23

Step-by-step explanation:

Since it said that "at most", the sign should be ≤

The term that best describes the red line segment of the ellipse is minor axis . C

An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.

The axis of an eclipse could major or minor.

The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical.  It is perpendicular to the major axis and passes through the center of the axis.

Therefore, the term that best describes the red line segment of the ellipse is minor axis . C

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Answer:

D. They never intersect

Step-by-step explanation:

Answer:

what exactly are we classifying here, angle? Shape?

Multiply

Scale factor is directly proportional to algebraic operations

As it's 1 only you have to multiply

Answer:

1/12

Step-by-step explanation:

Total students: 24

Requirement: 2

Simplify:

2/24 -> 1/12

Step-by-step explanation:

4√2 . √2

= 4 * 2

= 8

3√7 - 2√7

= √7 ( 3 - 2 )

= √7 ( 1 )

= √7

√7 / 2√7 = 1 / 2

2√5 . 2√5

= 2 * 2 . √5 *√5

= 4 * 5

= 20

Answer:

f=8

Step-by-step explanation:

0.62(f+(-6)+6.96=8.2

0.62(f-6)+6.96=8.2

multiply both sides by 100

0.62(f-6)*100+6.96*100=8.2*100

Refine

62(f-6)+696=820

Subtract 696 from both sides

62(f-6)+696-696=820-696

Simplify

62(f-6)=124

Divide both sides by 62

62(f-6)/62 = 124/62

Simplify

f-6=2

add 6 to both sides

f-6+6=2+6

simplify

f=8

Answer:

8

Step-by-step explanation:

1. Distribute 0.62 to each term in the parenthesis:

0.62(f) + 0.62(-6)

0.62f - 3.72 + 6.96 = 8.2

2. Add 3.72 and 6.96:

0.62f - 3.72 + 6.96 = 8.2

0.62f + 3.24 = 8.2

3. Subtract 3.24 from both sides of the equation:

0.62f + 3.24-3.24 = 8.2-3.24

0.62f = 4.96

4. Divide 0.62 by both sides to isolate f:

0.62f/0.62 = 4.96/0.62

f = 8

hope this helps!

Considering the perimeter and the area of the rectangle, the possible dimensions are of 22.11 yards and 4.89 yards.

Considering a perimeter of length l and width w, we have that:

In this problem, considering the amount of fencing as the perimeter, and the area, we have that:

Then:

l(27 - l) = 108

l² - 27l + 108 = 0.

Which is a quadratic equation with coefficients a = 1, b = -27, c = 108, then:

[tex]\Delta = b^2 - 4ac = (-27)^2 - 4(1)(108) = 297[/tex]

[tex]x_1 = \frac{27 + \sqrt{297}}{2} = 22.11[/tex]

[tex]x_2 = \frac{27 - \sqrt{297}}{2} = 4.89[/tex]

Then, the possible dimensions are of 22.11 yards and 4.89 yards.

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Answer: 6/8 , 9/12 , 12/16 , 15/20, ect...

Step-by-step explanation:

Example:3*2   = 6

               4*2      8

You can check if it is equivalent by dividing the numerator and denominator by 2

Example:6 divided by 2= 3

               4  divided by 2   4

You can replace 2 with 3,4,5,6 ect...

3/4 multiplied by 3 =9/12, 3/4 multiplied by 4 is 12/16, 3/4 multiplied by 5 is 15/20.

Hope this helps, let me know if you want more examples.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Find an equivalent fraction for the fraction below. 3/4

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

If fractions are equivalent, they are equal to each other.

An example of a fraction equal to 3/4 is:-

[tex]\bold{\displaystyle\frac{6}{8}} \dashleftarrow\sf{The\:numerator\:and\:denominator\:are\:multiplied\:by\:2}[/tex]

This is just one example; in fact, there are infinitely many fractions equivalent to 3/4; you can multiply the numerator & denominator by 2:

6/8 = 12/16 =24/32...

You can also multiply by 3:-

9/12 =12/36...

You can multiply by 4, 5, 6, 7, 8....

Overall, you can multiply by any number you wish. As long as you multiply the numerator and denominator by the same number, you will get a fraction that's equivalent to the original fraction.

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Answer:

Since 5:8is constant with respect to x, the derivative of 5:8 with respect to  x is 0.0

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

expressing the ratio as a fraction , that is

[tex]\frac{x}{12}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5