A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.8 in. The slant height of the pyramid is 89.8 in. What is the height of the​ pyramid?

Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.

Step-by-step explanation:

The null hypothesis\((H_0)\) and alternative hypothesis\((H_a)\) both are statements as per the researcher's claim that involves population parameter .

Null hypothesis has  ≤,≥ ,= signs

Alternative hypotheses has < , > , ≠ signs.

A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.

Answer:

ok

Step-by-step explanation:

to hablando Espanol j

y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

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Answer: the value of the expression is 28

Step-by-step explanation:

we simply substitute the letters in for the numbers.

5(3)(3) - 7(3) + (4)

we just multiply all of those together.

45 - 21 + 4

answer: 28

Answer:

the value of the expression is 28

Step-by-step explanation:

since we have already been given the values of a, b and c ,we must substitute them in the expression like this:

5(3)(3)-7(3)+4

28

Answer:

Step-by-step explanation:a = m + (p-1)*d

b = m + (q-1)*d

c = m + (r-1)*d

p(b-c) = p*(q-r)*d

q(c-a) = q*(r-p)*d

r(a-b) = r*(p-q)*d

p(b-c)+q(c-a)+r(a-b)

= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d

= (pq-pr+qr-pq+rp-qr)*d

= 0*d = 0

So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull

Answer:

you are doing -4. so the first parenthesis -4(x+2x+1) is incorrect.

Step-by-step explanation:

Hope this helps plz hit the crown :D

Answer:

-4(x-4)²+9y(y+4)=0

Step-by-step explanation:

If we put the -64 with the x’s instead of the y’s, we get:

-4x²+32x-64+9y²+36y=0

-4(x²-8x+16)+9y(y+4)=0

-4(x-4)²+9y(y+4)=0

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Step-by-step explanation:

(7-3)^2*(5-2)^3+4^2

=(4)^2*(3)^3+16

=16*27+16

=432+16

=448

9514 1404 393

Answer:

  $93.70

Step-by-step explanation:

The multiplier each year would be (1 -7%) = 0.93. After 20 years, the price would be multiplied by this value 20 times:

  cost = $400 × 0.93^20 ≈ $93.70

After 20 years of 7% deflation, the cost would be $93.70.

The number of times the average soccer play travel the length of the field is 114.9

The given parameters are

Distance travelled by the average soccer player = 7 miles

Length of a field = 98 meters

Convert the distance travelled by the average soccer player from miles to meters

So, we have

Distance travelled by the average soccer player = 7 * 1609 meters

Evaluate the product

So, we have

Distance travelled by the average soccer player = 11263 meters

The number of times the average soccer play travel the length of the field is

Number of times = Distance travelled by the average soccer player/Length of a field

So, we have

Number of times = 11263 meters/98 meters

Evaluate the quotient

So, we have

Number of times = 114.9

Hence, the number of times the average soccer play travel the length of the field is 114.9

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Answer:

Step-by-step explanation:

You want the intercepts of the equation -6x +9y = -18.

There are several ways to find the intercepts. In each case, the x-intercept is the value of x that satisfies the equation when y=0, and vice versa.

For y = 0, we find the x-intercept to be ...

  -6x + 0 = -18

  x = -18/-6 = 3

The x-intercept is 3; the point at that intercept is (3, 0).

For x = 0, we find the y-intercept to be ...

  0 +9y = -18

  y = -18/9 = -2

The y-intercept is -2; the point at that intercept is (0, -2).

The intercept form of the equation for a line is ...

  x/a +y/b = 1

where 'a' is the x-intercept, and 'b' is the y-intercept.

We can get this form by dividing the original equation by -18.

  -6x/-18 +9y/-18 = 1

  x/3 +y/(-2) = 1

The x-intercept is 3; the y-intercept is -2.

__

Additional comment

When asked for the intercepts, it is sometimes not clear whether you are being asked for the value where the curve crosses the axis, or whether you are being asked for the coordinates of the point there.

Your previous "wrong" answer was given as point coordinates. Apparently, just the value at the axis crossing is required.

You have to have some understanding of your answer-entry and answer-checking software to tell the required form of the answer (or you can ask your teacher).

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The calculated inches from end to end on the bed is 72 inches

From the question, we have the following parameters that can be used in our computation:

Length = 6 feet long

By conversion of units, we have

1 feet = 12 inches

using the above as a guide, we have the following:

Length = 6 * 12 inches long

Evaluate the products

Length = 72 inches long

Hence, the inches from end to end on the bed is 72

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Answer:

the unit rate for each pair is $1.13

Step-by-step explanation:

Okay this is how you would do this problem correctly:

we know that 4 dozen pairs of gloves cost $54.24 however we want to know what the cost is for one pair so we have to make a equation by dividing total cost by the number of glove pairs.

$54.24/4 dozen

the reason we are putting 4 dozen instead of just dividing $54.24 by 4 is because we want to know the unit price for each pair of gloves so it would actually look like this:

$54.24/4(12)

Dozen = 12

so we multiply 12 by 4 to get 48 pairs of gloves, we then divide $54.24 by 48 to find our unit rate of pricing for each pair:

$54.24/48 = 1.13

so now we place a dollar sign in front of 1.13 to get your answer:

for every pair bought it costs $1.13

So how did the Analysis A contractor get the wrong answer? well when she had bought the 4 dozen gloves she divided $54.24 by 4, which in this case would make it seem as though the gloves came in a 12 pack of gloves. However she was buying the gloves individually so she would have to multiply 4 by 12 before dividing the total number of gloves from $54.24.    

Answer: 1

Step-by-step explanation:

We can start by dividing both sides by 5. This gives us

\(6 + s = 7\)

Subtracting 6 from both sides gives us

\(s = 7-6=1\)

To check, we can put 1 back in the equation:

\(5(6+1) = 35\)

\(5(7) = 35\)

Since 5 * 7 is 35, 1 is the answer.

The angles of the triangle are:

A =  95.7°, B = 33.6°, C = 50.7°.

What are the angles of the triangle?

The area created between two of a triangle's side lengths is known as the angle. Both internal and external angles are present in a triangle. In a triangle, there are three interior angles. When the sides of a triangle are stretched to infinity, exterior angles are created.

Here, we have

Given: a = 9, b= 5, c = 7

We have to find all angles in degrees.

Using law of cosines,  a² = b²+c² - 2bc cos(A),

9² = 5²+7² - 2(5)(7) cos(A)

81 = 25 + 49 - 70 cos(A)

7 = -70 cos(A)

cos(A) = -7/70

cos(A) = -1/10

A = cos⁻¹(-1/10)

A = 95.7°

Now, using the law of sines,  

[sin (A)]/(a) =  [sin (C)]/(c)

[sin (95.7°)]/(9) =  [sin (C)]/(7)

0.9955/9 = sin (C)/(7)

0.7742 = sinC

C = sin⁻¹(0.7742)

C = 50.7°

The sum of all the angles of a triangle= 180°

A + B + C = 180°

95.7° + B + 50.7° =  180°

B = 33.6°

Hence, the angles of the triangle are:

A =  95.7°, B = 33.6°, C = 50.7°.

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Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b (1)

and

5 = -2a + b (2)

(1) + (2)

2a + 2b = 0

a = -b

(1) -5 = 4a - a

-5 = 3a

a = -5/3

Answer :

f(x) = -5/3x + 5/3

Answer:

796

Step-by-step explanation:

First turn it into 3 Composite Shapes, Then add the sums up to get you answer. You would separate them using the given numbers. DO NOT USE THE LARGE NUMBER: 53 you have to put them into 3 tiny squares using the numbers it gives you. Look at the image, to look at how to separate them and then i will continue the math.

To Do This You Also Have To Follow PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

I color coded it for you so that you could tell what block was what.

I also put color under the numbers that were also with the block that you needed to multiply.

For the first square/red square you need to do the math:

25x17=415

For the second square/blue square you need to do the math:

24x(25-12)=

24x13=312

For the third and final square/green square you need to do the math:

6x12=72

For the last step you have to add all the sums together to get the quotient/answer:

415+312+72=796

Answer:

triangle ABC and triangle HFG, I know it is filled out as DCE, but I don't see any triangle DCE

Step-by-step explanation:

check the sides and the angles

Explanation

We are given that

WXYZ is similar to RUTS

Thus, we have:

Therefore, the answer is

Answer is 4

Answer:

Step-by-step explanation:

we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2

area of a circle = \(\pi\)\(r^{2}\)  (where r is the radius, NOT the diameter, easy to confuse)

the radius of the inner circle is 2.5. which  is half of the diameter of 5

inner circle = \(\pi\)*(2.5)^2

inner circle =  19.6349...

outer circle = \(\pi\)*(10^2)

outer circle = 314.1592...

the ratio is    19.6349... /  314.1592...  = 0.0625

0.0625 = 6.25%

= 6% ( rounded to nearest whole number )

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation:

Answer:

I literally NEVER got this. it was the most complicated thing to me and still is.

Step-by-step explanation:

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.